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CN112487677B - A method and device for calculating reactor core loss - Google Patents

A method and device for calculating reactor core loss Download PDF

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CN112487677B
CN112487677B CN202011309160.6A CN202011309160A CN112487677B CN 112487677 B CN112487677 B CN 112487677B CN 202011309160 A CN202011309160 A CN 202011309160A CN 112487677 B CN112487677 B CN 112487677B
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张良县
张晓美
卢文
张珊珊
张昭
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China XD Electric Co Ltd
Xian XD Transformer Co Ltd
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Xian XD Transformer Co Ltd
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Abstract

The invention provides a method and a device for calculating the core loss of a reactor, wherein the method is characterized in that the core loss calculation is carried out by constructing a magnetic flux transient equation set, establishing an objective function and applying solution methods such as loop iteration, linear interpolation, fourier series decomposition and the like; and adopting finite element magnetic field numerical calculation to obtain reactor magnetic field distribution, adopting a preset data processing program to realize data acquisition and processing, finally obtaining the loss of each iron core cake, further obtaining the total loss of the reactor iron core through calculation, and realizing the reliable calculation of the iron core loss of the reactor.

Description

一种电抗器铁心损耗计算方法和装置A method and device for calculating core loss of a reactor

技术领域Technical Field

本发明涉及变压器设计技术领域,具体涉及一种电抗器铁心损耗计算方法和装置。The invention relates to the technical field of transformer design, and in particular to a method and device for calculating the core loss of a reactor.

背景技术Background Art

电抗器广泛应用于电力系统中,主要功能是限制系统的大电流和补偿系统的分布电容电流。对于电抗器而言,铁心损耗计算的准确与否一直是设计的难题,尤其是三相五柱式铁心结构,磁路相对复杂,影响因素较多,主轭、旁轭、旁柱磁场分布也各不相同,并存在谐波分量。通过传统手工准确计算铁心损耗相对困难。在试验方面,因与变压器设备不同,电抗器为一端子元件,不能进行空载试验,在试验时只能测得总的损耗,所有损耗包含在内,无法分离,使得产品的铁心损耗、杂散损耗不能得到准确校核,进而可能导致损耗设计值与实际值偏差较大。因此,如何准确计算三相五柱式铁心结构电抗器铁心损耗,对工程设计人员设计验证、研究及提高产品性能可靠性,保证电抗器安全、稳定运行具有重大意义。Reactors are widely used in power systems. Their main function is to limit the large current of the system and compensate for the distributed capacitance current of the system. For reactors, the accuracy of the calculation of core loss has always been a difficult design problem, especially for three-phase five-column core structures. The magnetic circuit is relatively complex, with many influencing factors. The magnetic field distributions of the main yoke, side yoke, and side column are also different, and there are harmonic components. It is relatively difficult to accurately calculate the core loss by traditional manual methods. In terms of testing, unlike transformer equipment, the reactor is a one-terminal component and cannot be tested at no load. During the test, only the total loss can be measured. All losses are included and cannot be separated, so that the core loss and stray loss of the product cannot be accurately checked, which may lead to a large deviation between the loss design value and the actual value. Therefore, how to accurately calculate the core loss of the three-phase five-column core structure reactor is of great significance to engineering designers for design verification, research and improvement of product performance reliability, and to ensure the safe and stable operation of the reactor.

发明内容Summary of the invention

有鉴于此,本发明实施例提供一种电抗器铁心损耗计算方法和装置,以实现电抗器的铁心损耗计算。In view of this, an embodiment of the present invention provides a method and device for calculating the core loss of a reactor, so as to realize the calculation of the core loss of the reactor.

为实现上述目的,本发明实施例提供如下技术方案:To achieve the above objectives, the embodiments of the present invention provide the following technical solutions:

一种电抗器铁心损耗计算方法,包括:A method for calculating core loss of a reactor, comprising:

获取待测电抗器的电磁仿真计算模型;Obtaining an electromagnetic simulation calculation model of the reactor to be tested;

采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;The electromagnetic simulation calculation model of the reactor is solved and calculated by using finite element magnetic field numerical calculation to obtain the magnetic field distribution of the reactor;

基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;Extracting and obtaining the loss of each iron core disk in the reactor based on the magnetic field distribution of the reactor;

基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;The effective cross-sectional areas of the main yoke, the side yoke and the side column of the reactor are calculated based on the core structure dimension data of the reactor;

基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组;Based on an equivalent planar magnetic circuit network matching the reactor, a group of magnetic flux transient equations is constructed;

求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;Solve the flux instantaneous equations and derive the functional relationship between the yoke flux and time.

基于旁轭磁通随时间变化的函数关系式建立目标函数其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值,所述w指的是角频率,所述Re2(t)为t时刻主轭磁阻,所述Re1(t)为t时刻旁轭磁阻,所述Rz(t)为t时刻旁柱磁阻,所述Rj(t)为t时刻铁心接缝夹角处磁阻,所述Be2(t)为t时刻主轭磁密值,所述Sp为主轭有效截面积或旁轭有效截面积;The objective function is established based on the functional relationship between the side yoke flux and time. Wherein, φ 2 (t) is the main yoke flux of the reactor, φ 1 (t) is the side yoke flux of the reactor, φ m is the maximum total flux of the iron yoke of the reactor, w refers to the angular frequency, Re2 (t) is the main yoke magnetic resistance at time t, Re1 (t) is the side yoke magnetic resistance at time t, R z (t) is the side column magnetic resistance at time t, R j (t) is the magnetic resistance at the core joint angle at time t, Be2 (t) is the main yoke magnetic density value at time t, and Sp is the effective cross-sectional area of the main yoke or the effective cross-sectional area of the side yoke;

基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;Based on the objective function, a functional relationship between the side yoke magnetic density value and the side column magnetic density value changing with time is calculated;

基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Based on the functional relationship between the side yoke and side column magnetic density values changing with time, the side yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the core joint angle and the target function, the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times are calculated;

计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;Calculate the peak value of the Nth harmonic component in the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value, wherein the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic;

基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;Based on the preset B-P function relationship of silicon steel sheets, the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics are calculated by interpolation method;

将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值。The sum of the total loss values of the side yoke, the main yoke, the side column and the core loss is taken as the total core loss value of the reactor.

可选的,上述电抗器铁心损耗计算方法中,基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗,包括:Optionally, in the above-mentioned method for calculating the core loss of the reactor, the loss of each core disk in the reactor is obtained based on the magnetic field distribution of the reactor, including:

基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Based on the magnetic field distribution of the reactor, a magnetic density value of a preset collection point on the iron core cake on the reactor is collected;

基于每个采集点的磁密值计算得到每个采集点的磁通;The magnetic flux of each acquisition point is calculated based on the magnetic density value of each acquisition point;

将每个铁心饼对应的所有采集点的单位磁通求和后,除以铁心饼有效截面积,得到该铁心饼的平均磁密值;The unit magnetic flux of all the acquisition points corresponding to each core cake is summed up and divided by the effective cross-sectional area of the core cake to obtain the average magnetic flux density value of the core cake;

基于预设的硅钢片B—P函数关系,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcBased on the preset B-P function relationship of the silicon steel sheet, the unit loss value ΔP (B ci ) of the core cake is calculated by using the interpolation method, and then the total core loss P c is obtained.

可选的,上述电抗器铁心损耗计算方法中,所述电抗器为三相五柱式铁心结构电抗器,所述磁通瞬时方程为:Optionally, in the above reactor core loss calculation method, the reactor is a three-phase five-column core structure reactor, and the flux transient equation is:

其中:Ra(t)、Rb(t)、Rc(t)分别为t时刻时A、B、C三相铁心柱磁阻;FA(t)、FB(t)、FC(t)分别为t时刻时A、B、C三相磁压源,所述φ1(t)、φ3(t)、φ4(t)分别为t时刻等效平面磁路网络各回路磁通。Wherein: Ra (t), Rb (t), Rc (t) are the magnetic resistances of the three-phase iron core columns A, B, C at time t respectively; FA (t), FB (t), FC (t) are the three-phase magnetic pressure sources A, B, C at time t respectively; φ1 (t), φ3 (t), φ4 (t) are the magnetic fluxes of each circuit of the equivalent planar magnetic circuit network at time t respectively.

可选的,上述电抗器铁心损耗计算方法中,旁轭磁通随时间变化的函数关系式为:Optionally, in the above reactor core loss calculation method, the functional relationship between the side yoke magnetic flux and time is:

可选的,上述电抗器铁心损耗计算方法中,基于所述旁轭磁密值和旁柱磁密值随时间变化的函数关系式分别为:Optionally, in the above reactor core loss calculation method, the functional relationship between the side yoke magnetic density value and the side column magnetic density value changing with time is respectively:

其中,所述电抗器旁柱有效截面积,所述Be1(t)为电抗器旁轭在t时刻的磁密值,所述Bz(t)为电抗器旁柱在t时刻的磁密值。Wherein, the effective cross-sectional area of the reactor side column, the Be1 (t) is the magnetic flux density value of the reactor side yoke at time t, and the Bz (t) is the magnetic flux density value of the reactor side column at time t.

可选的,上述电抗器铁心损耗计算方法中,所述基于旁轭及旁柱磁密值随时间变换的函数关系式、轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值,包括:Optionally, in the above-mentioned reactor core loss calculation method, the functional relationship between the side yoke and side column magnetic density values changing with time, the yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the core joint angle and the objective function are used to calculate the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times, including:

照给定的硅钢片B—μ关系函数(硅钢片的磁密与磁导率关系函数),求解不同磁路磁导率,进而计算旁轭磁阻Re1(t),主轭磁阻Re2(t),旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t),:According to the given silicon steel sheet B-μ relationship function (magnetic flux density and magnetic permeability relationship function of silicon steel sheet), solve the magnetic permeability of different magnetic circuits, and then calculate the side yoke magnetic resistance Re1 (t), main yoke magnetic resistance Re2 (t), side column magnetic resistance Rz (t) and magnetic resistance at the core joint angle Rj (t):

其中,所述Sz指的是电抗器旁柱有效截面积,所述μe1指的是旁轭磁导率,μe2指的是主轭磁导率μj指的是铁心接缝夹角处磁导率μz指的是旁柱磁导率,Mp指的是铁心中心至旁柱内侧距离,TS指的是旁柱厚度,Hp指的是上、下铁轭厚度,所述Hw指的是窗高。Among them, Sz refers to the effective cross-sectional area of the reactor side column, μe1 refers to the magnetic permeability of the side yoke, μe2 refers to the magnetic permeability of the main yoke, μj refers to the magnetic permeability at the angle of the core joint, μz refers to the magnetic permeability of the side column, Mp refers to the distance from the center of the core to the inner side of the side column, TS refers to the thickness of the side column, Hp refers to the thickness of the upper and lower iron yokes, and Hw refers to the window height.

将每个部分磁阻代入目标函数f(t)电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值。Substitute each partial magnetic resistance into the objective function f(t) to obtain the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times.

可选的,上述电抗器铁心损耗计算方法中,所述基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值,包括:Optionally, in the above-mentioned reactor core loss calculation method, the interpolation method is used to obtain the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics based on the preset silicon steel sheet B-P function relationship, including:

按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭单位损耗值ΔP(maxBe1j)、主轭单位损耗值ΔP(maxBe2j)、旁柱单位损耗值ΔP(maxBzj)及旁轭总损耗值Pe1、主轭总损耗值Pe2、旁柱总损耗值PzAccording to the given B-P function relationship of silicon steel sheet, the unit loss value of side yoke ΔP(maxB e1j ), the unit loss value of main yoke ΔP(maxB e2j ), the unit loss value of side column ΔP(maxB zj ) and the total loss value of side yoke P e1 , the total loss value of main yoke P e2 , and the total loss value of side column P z under different harmonics are obtained by interpolation method:

其中:Ge1为旁轭重量、Gz为旁柱重量、Ge2为主轭重量。Among them: Ge1 is the weight of the side yoke, Gz is the weight of the side column, and Ge2 is the weight of the main yoke.

一种电抗器铁心损耗计算装置,包括:A reactor core loss calculation device, comprising:

铁芯饼损耗计算单元,用于获取待测电抗器的电磁仿真计算模型;采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;The core loss calculation unit is used to obtain the electromagnetic simulation calculation model of the reactor to be tested; solve the electromagnetic simulation calculation model of the reactor by finite element magnetic field numerical calculation to obtain the magnetic field distribution of the reactor; and extract the loss of each core in the reactor based on the magnetic field distribution of the reactor;

铁轭损耗计算单元,用于基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组;求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;基于旁轭磁通随时间变化的函数关系式建立目标函数其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值,所述w指的是角频率,所述Re2(t)为t时刻主轭磁阻,所述Re1(t)为t时刻旁轭磁阻,所述Rz(t)为t时刻旁柱磁阻,所述Rj(t)为t时刻铁心接缝夹角处磁阻,所述Be2(t)为t时刻主轭磁密值,所述Sp为主轭有效截面积或旁轭有效截面积;基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;The iron yoke loss calculation unit is used to calculate the effective cross-sectional area of the main yoke, side yoke and side column of the reactor based on the core structure size data of the reactor; build a group of flux instantaneous equations based on an equivalent plane magnetic circuit network matching the reactor; solve the group of flux instantaneous equations to derive the functional relationship of the side yoke flux changing with time; establish an objective function based on the functional relationship of the side yoke flux changing with time Wherein, φ 2 (t) is the main yoke flux of the reactor, φ 1 (t) is the side yoke flux of the reactor, φ m is the maximum total flux of the iron yoke of the reactor, w refers to the angular frequency, Re2 (t) is the main yoke magnetic resistance at time t, Re1 (t) is the side yoke magnetic resistance at time t, R z (t) is the side column magnetic resistance at time t, R j (t) is the magnetic resistance at the angle of the core joint at time t, Be2 (t) is the main yoke magnetic density value at time t, S p is the effective cross-sectional area of the main yoke or the effective cross-sectional area of the side yoke; based on the objective function, the functional relationship between the side yoke magnetic density value and the side column magnetic density value changing with time is calculated; based on the functional relationship between the side yoke and side column magnetic density values changing with time, the side yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the angle of the core joint and the objective function, the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times are calculated; the peak value of the Nth harmonic component in the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value is calculated, and the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic; based on the preset silicon steel sheet B-P function relationship, the unit loss value and total loss value of the side yoke, main yoke, and side column under different harmonics are obtained by interpolation method;

铁芯损耗计算单元,用于将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值。The core loss calculation unit is used to take the sum of the total loss values of the side yoke, the main yoke, the side column and the core cake loss as the total core loss value of the reactor.

可选的,上述电抗器铁心损耗计算装置中,铁芯饼损耗计算单元在基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗时,具体用于:Optionally, in the above reactor core loss calculation device, when the core loss calculation unit extracts and obtains the core loss of each core in the reactor based on the magnetic field distribution of the reactor, it is specifically used to:

基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Based on the magnetic field distribution of the reactor, a magnetic density value of a preset collection point on the iron core cake on the reactor is collected;

基于每个采集点的磁密值计算得到每个采集点的磁通;The magnetic flux of each acquisition point is calculated based on the magnetic density value of each acquisition point;

将每个铁心饼对应的所有采集点的单位磁通求和后,除以铁心饼有效截面积,得到该铁心饼的平均磁密值;The unit magnetic flux of all the acquisition points corresponding to each core cake is summed up and divided by the effective cross-sectional area of the core cake to obtain the average magnetic flux density value of the core cake;

基于预设的硅钢片B—P函数关系,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcBased on the preset B-P function relationship of the silicon steel sheet, the unit loss value ΔP (B ci ) of the core cake is calculated by using the interpolation method, and then the total core loss P c is obtained.

可选的,上述电抗器铁心损耗计算装置中,所述电抗器为三相五柱式铁心结构电抗器,所述磁通瞬时方程为:Optionally, in the above reactor core loss calculation device, the reactor is a three-phase five-column core structure reactor, and the flux transient equation is:

其中:Ra(t)、Rb(t)、Rc(t)分别为t时刻时A、B、C三相铁心柱磁阻;FA(t)、FB(t)、FC(t)分别为t时刻时A、B、C三相磁压源,所述φ1(t)、φ3(t)、φ4(t)分别为t时刻等效平面磁路网络各回路磁通。Wherein: Ra (t), Rb (t), Rc (t) are the magnetic resistances of the three-phase iron core columns A, B, C at time t respectively; FA (t), FB (t), FC (t) are the three-phase magnetic pressure sources A, B, C at time t respectively; φ1 (t), φ3 (t), φ4 (t) are the magnetic fluxes of each circuit of the equivalent planar magnetic circuit network at time t respectively.

可选的,上述电抗器铁心损耗计算装置中,旁轭磁通随时间变化的函数关系式为:Optionally, in the above reactor core loss calculation device, the functional relationship of the side yoke magnetic flux changing with time is:

可选的,上述电抗器铁心损耗计算装置中,基于所述旁轭磁密值和旁柱磁密值随时间变化的函数关系式分别为:Optionally, in the above reactor core loss calculation device, the functional relationship between the side yoke magnetic density value and the side column magnetic density value changing with time is respectively:

其中,所述电抗器旁柱有效截面积,所述Be1(t)为电抗器旁轭在t时刻的磁密值,所述Bz(t)为电抗器旁柱在t时刻的磁密值。Wherein, the effective cross-sectional area of the reactor side column, the Be1 (t) is the magnetic flux density value of the reactor side yoke at time t, and the Bz (t) is the magnetic flux density value of the reactor side column at time t.

可选的,上述电抗器铁心损耗计算装置中,所述铁轭损耗计算单元在基于旁轭及旁柱磁密值随时间变换的函数关系式、轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值时,具体用于:Optionally, in the above-mentioned reactor core loss calculation device, the yoke loss calculation unit calculates the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times based on the functional relationship between the side yoke and side column magnetic density values changing with time, the yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the core joint angle and the objective function, and is specifically used to:

照给定的硅钢片B—μ关系函数,求解不同磁路磁导率,进而计算旁轭磁阻Re1(t),主轭磁阻Re2(t),旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t),:According to the given silicon steel sheet B-μ relationship function, solve the magnetic permeability of different magnetic circuits, and then calculate the side yoke reluctance Re1 (t), main yoke reluctance Re2 (t), side column reluctance Rz (t) and the reluctance at the core joint angle Rj (t):

将每个部分磁阻代入目标函数f(t)电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Substitute each partial magnetic resistance into the objective function f(t) to obtain the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times;

其中,所述Sz指的是电抗器旁柱有效截面积,所述μe1指的是旁轭磁导率,μe2指的是主轭磁导率μj指的是铁心接缝夹角处磁导率μz指的是旁柱磁导率,Mp指的是铁心中心至旁柱内侧距离,TS指的是旁柱厚度,Hp指的是上、下铁轭厚度,所述Hw指的是窗高。Among them, Sz refers to the effective cross-sectional area of the reactor side column, μe1 refers to the magnetic permeability of the side yoke, μe2 refers to the magnetic permeability of the main yoke, μj refers to the magnetic permeability at the angle of the core joint, μz refers to the magnetic permeability of the side column, Mp refers to the distance from the center of the core to the inner side of the side column, TS refers to the thickness of the side column, Hp refers to the thickness of the upper and lower iron yokes, and Hw refers to the window height.

可选的,上述电抗器铁心损耗计算装置中,所述基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值,包括:Optionally, in the above reactor core loss calculation device, the interpolation method is used to obtain the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics based on the preset silicon steel sheet B-P function relationship, including:

按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭单位损耗值ΔP(maxBe1j)、主轭单位损耗值ΔP(maxBe2j)、旁柱单位损耗值ΔP(maxBzj)及旁轭总损耗值Pe1、主轭总损耗值Pe2、旁柱总损耗值PzAccording to the given B-P function relationship of silicon steel sheet, the unit loss value of side yoke ΔP(maxB e1j ), the unit loss value of main yoke ΔP(maxB e2j ), the unit loss value of side column ΔP(maxB zj ) and the total loss value of side yoke P e1 , the total loss value of main yoke P e2 , and the total loss value of side column P z under different harmonics are obtained by interpolation method:

其中:Ge1为旁轭重量、Gz为旁柱重量、Ge2为主轭重量。Among them: Ge1 is the weight of the side yoke, Gz is the weight of the side column, and Ge2 is the weight of the main yoke.

基于上述技术方案,本发明实施例提供的上述方案,在本申请实施例公开的方案中,本发明在电抗器的铁芯饼损耗损耗计算时,采用有限元数值计算方法计算出待测电抗器的电磁仿真计算模型的磁场分布,基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗。在进行铁轭损耗计算时,基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组,求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式,基于旁轭磁通随时间变化的函数关系式建立目标函数,基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式,基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;最终基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值。Based on the above technical scheme, the above scheme provided by the embodiment of the present invention, in the scheme disclosed in the embodiment of the present application, when calculating the loss of the core cake of the reactor, the present invention adopts a finite element numerical calculation method to calculate the magnetic field distribution of the electromagnetic simulation calculation model of the reactor to be tested, and extracts the loss of each core cake in the reactor based on the magnetic field distribution of the reactor. When calculating the iron yoke loss, based on the equivalent planar magnetic circuit network matching the reactor, a group of instantaneous equations for magnetic flux is built, the group of instantaneous equations for magnetic flux is solved, and the functional relationship of the change of the side yoke magnetic flux with time is derived. Based on the functional relationship of the change of the side yoke magnetic flux with time, an objective function is established. Based on the objective function, the functional relationship of the change of the side yoke magnetic density value and the side column magnetic density value with time is calculated. Based on the functional relationship of the change of the side yoke and side column magnetic density values with time, the side yoke magnetic resistance, the main yoke magnetic resistance, and the side The column magnetic resistance, the magnetic resistance at the angle of the core joint and the objective function are used to calculate the main yoke magnetic density value, side yoke magnetic density value and side column magnetic density value of the reactor at different times; the peak value of the Nth harmonic component in the main yoke magnetic density value, side yoke magnetic density value and side column magnetic density value is calculated, and the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic; finally, based on the preset silicon steel sheet B-P function relationship, the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics are obtained by interpolation method.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据提供的附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.

图1为本申请实施例公开的电抗器铁心损耗计算方法的流程示意图;FIG1 is a flow chart of a method for calculating core loss of a reactor disclosed in an embodiment of the present application;

图2为本申请实施例示出的电抗器的电磁仿真计算模型;FIG2 is an electromagnetic simulation calculation model of a reactor shown in an embodiment of the present application;

图3为本申请实施例公开的铁芯饼损耗的具体计算流程示意图;FIG3 is a schematic diagram of a specific calculation process of the core loss disclosed in an embodiment of the present application;

图4为三相五柱式铁心电抗器的结构示意图;FIG4 is a schematic diagram of the structure of a three-phase five-column iron core reactor;

图5为三相五柱式铁心电抗器的等效平面磁路网络的结构示意图;FIG5 is a schematic diagram of the structure of an equivalent planar magnetic circuit network of a three-phase five-column iron core reactor;

图6为本申请实施例公开的电抗器铁心损耗计算装置的结构示意图。FIG6 is a schematic diagram of the structure of a reactor core loss calculation device disclosed in an embodiment of the present application.

具体实施方式DETAILED DESCRIPTION

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

在此背景下,发明人提出一种电抗器铁心损耗计算方法,即通过搭建磁通瞬时方程组、建立目标函数,运用循环迭代、线性插值、傅里叶级数分解等求解方法进行铁轭损耗计算;采用有限元磁场数值计算,得到电抗器磁场分布,并运用预设的数据处理程序实现数据采集及处理,最终求得各个铁心饼损耗。此外,考虑工艺系数的影响,根据实际情况进行损耗修正使得铁心损耗计算更准确。In this context, the inventor proposed a method for calculating the core loss of the reactor, which is to calculate the iron yoke loss by building a group of flux instantaneous equations, establishing an objective function, and using loop iteration, linear interpolation, Fourier series decomposition and other solving methods; using finite element magnetic field numerical calculation to obtain the magnetic field distribution of the reactor, and using a preset data processing program to realize data collection and processing, and finally obtain the loss of each core cake. In addition, considering the influence of the process coefficient, the loss correction is performed according to the actual situation to make the core loss calculation more accurate.

具体的,参见图1,本申请实施例公开的电抗器铁心损耗计算方法,可以包括:心柱损耗计算和铁轭损耗计算;Specifically, referring to FIG1 , the method for calculating the core loss of a reactor disclosed in an embodiment of the present application may include: calculating the core loss and calculating the iron yoke loss;

其中,所述心柱损耗计算又称为铁芯饼损耗计算,该计算包括:The core loss calculation is also called the core loss calculation, which includes:

步骤S101:获取待测电抗器的电磁仿真计算模型;Step S101: obtaining an electromagnetic simulation calculation model of the reactor to be tested;

在本申请实施例公开的技术方案中,所述电抗器可以为三相五柱式铁心结构的电抗器,或其他结构的电抗器。In the technical solution disclosed in the embodiment of the present application, the reactor may be a three-phase five-column iron core structure reactor, or a reactor of other structures.

本步骤主要是电抗器数值计算模型建立和材料属性设置。This step mainly involves establishing the numerical calculation model of the reactor and setting the material properties.

在本步骤中,根据电抗器的结构特点和对称性,求解区域可取铁心对称中心剖面的二分之一。按照电抗器铁心以及线圈的实际尺寸,建立轴对称的电磁仿真计算模型,如图2所示。在建立模型时,需通过材料编辑器定义电抗器的铁心材料、导线材料。In this step, according to the structural characteristics and symmetry of the reactor, the solution area can be taken as half of the core symmetric center section. According to the actual size of the reactor core and coil, an axisymmetric electromagnetic simulation calculation model is established, as shown in Figure 2. When establishing the model, the core material and conductor material of the reactor need to be defined through the material editor.

步骤S102:采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;Step S102: using finite element magnetic field numerical calculation to solve and calculate the electromagnetic simulation calculation model of the reactor to obtain the magnetic field distribution of the reactor;

在本步骤中,采用场-路耦合法,基于所述电磁仿真计算模型搭建电路连接图,通过搭建的电路连接图,将电磁场方程和外部电源组成的连接电路方程耦合起来,按二维非线性时谐场求解计算,得到与所述电抗器的电磁仿真计算模型相匹配的磁场分布。In this step, a field-circuit coupling method is adopted to build a circuit connection diagram based on the electromagnetic simulation calculation model. Through the constructed circuit connection diagram, the electromagnetic field equation and the connection circuit equation composed of the external power supply are coupled, and the two-dimensional nonlinear time-harmonic field solution is calculated to obtain a magnetic field distribution that matches the electromagnetic simulation calculation model of the reactor.

步骤S103:基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;Step S103: extracting and obtaining the loss of each iron core disk in the reactor based on the magnetic field distribution of the reactor;

在本步骤中,在计算得到电抗器的磁场分布后,基于所述电抗器的磁场分布可计算得到电抗器中各个铁芯饼损耗,具体的,参见图3,铁芯饼损耗的计算过程可以包括:In this step, after the magnetic field distribution of the reactor is calculated, the loss of each core cake in the reactor can be calculated based on the magnetic field distribution of the reactor. Specifically, referring to FIG. 3 , the calculation process of the core cake loss can include:

步骤S201:基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Step S201: collecting magnetic density values of preset collection points on the iron core disk of the reactor based on the magnetic field distribution of the reactor;

在本步骤中,将电抗器中的单个铁心饼作为一个单元,选取一条路径,以一定步长设置采集点,分别提取每个铁心饼上的每个采集点的磁密值。采集点设置越多,计算越精确,例如,在本方案中可以将电抗器每个铁心饼的中间高度位置作为原点,沿X轴方向从铁心内半径Rn至铁心外半径Rw作为一条路径,该路径穿过所述原点。以铁心内径Rn远离原点一侧0.5Δδ处作为起点,一定长度Δδ作为步长设置多个采集点,基于磁场分布提取每个采集点的磁密值BijIn this step, a single core cake in the reactor is taken as a unit, a path is selected, and collection points are set with a certain step length, and the magnetic density value of each collection point on each core cake is extracted respectively. The more collection points are set, the more accurate the calculation is. For example, in this scheme, the middle height position of each core cake of the reactor can be taken as the origin, and a path from the core inner radius Rn to the core outer radius Rw along the X-axis direction is taken, and the path passes through the origin. The core inner diameter Rn is taken as the starting point 0.5Δδ away from the origin, and a certain length Δδ is used as the step length to set multiple collection points, and the magnetic density value B ij of each collection point is extracted based on the magnetic field distribution.

步骤S202:基于每个采集点的磁密值计算得到每个采集点的磁通;Step S202: Calculate the magnetic flux of each acquisition point based on the magnetic density value of each acquisition point;

在本步骤中,对各个采集点的磁密值进行处理,将每个采集点提取的磁密值乘以相应的单元面积,即可得到该采集点单位磁通。具体的,将第i个铁心饼的第j个采集点提取的磁密值Bij乘以第j个单元面积,即可得到该采集点单位磁通ΔΦij,即,ΔΦij=Bij*2π*(Rn+(j-1)*Δδ+0.5Δδ)*Δδ,其中,所述2π*(Rn+(j-1)*Δδ+0.5ΔρG)*Δρδ为第j个采集点的单元面积。In this step, the magnetic density value of each collection point is processed, and the magnetic density value extracted from each collection point is multiplied by the corresponding unit area to obtain the unit magnetic flux of the collection point. Specifically, the magnetic density value Bij extracted from the jth collection point of the i-th core cake is multiplied by the jth unit area to obtain the unit magnetic flux ΔΦij of the collection point, that is, ΔΦij = Bij *2π*( Rn +(j-1)*Δδ+0.5Δδ)*Δδ, wherein 2π*( Rn +(j-1)*Δδ+0.5ΔρG)*Δρδ is the unit area of the jth collection point.

步骤S203:将每个铁心饼对应的所有采集点的单位磁通ΔΦij求和后,除以铁心饼有效截面积Sc,即可得到该铁心饼的平均磁密值BciStep S203: summing up the unit magnetic flux ΔΦ ij of all the acquisition points corresponding to each core cake and dividing it by the effective cross-sectional area S c of the core cake to obtain the average magnetic flux value B ci of the core cake;

即,所述m为每个铁芯饼的采样点个数,所述m为整数,在本方案中,m=int((Rw-Rn)/Δδ)。Right now, The m is the number of sampling points of each core cake, and the m is an integer. In this solution, m=int((R w -R n )/Δδ).

步骤S204:基于预设的硅钢片B—P函数关系(硅钢片的磁密与单位铁损函数关系),利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcStep S204: Based on the preset silicon steel sheet B-P function relationship (magnetic flux density and unit iron loss function relationship of silicon steel sheet), the core cake unit loss value ΔP (B ci ) is calculated by interpolation method, and then the total core loss P c is obtained;

在本步骤中,获取到铁心饼的平均磁密值Bci以后,基于预设的硅钢片B—P函数关系曲线,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗Pc其中:n为电抗器中铁心饼的总个数;Gci为第i个铁心饼的重量。In this step, after obtaining the average magnetic flux density B ci of the core cake, the unit loss value ΔP (B ci ) of the core cake is calculated based on the preset silicon steel sheet B-P function relationship curve by using the interpolation method, and then the total core loss P c is obtained. Where: n is the total number of core cakes in the reactor; G ci is the weight of the i-th core cake.

在本方案中,铁轭损耗计算计算过程包括:In this scheme, the calculation process of iron yoke loss includes:

步骤S104:基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;Step S104: Calculating the effective cross-sectional areas of the main yoke, the side yoke and the side column of the reactor based on the core structure dimension data of the reactor;

本步骤中,基于已知的电抗器的铁心结构尺寸数据可以计算得到电抗器的主轭有效截面积Sp、旁轭有效截面积Sp、旁柱有效截面积Sz。并且,一般情况下,对于电抗器的旁轭有效截面积与主轭有效截面积相同。In this step, the effective cross-sectional area of the reactor's main yoke Sp , side yoke Sp, and side post Sz can be calculated based on the known core structure dimension data of the reactor. In general, the effective cross-sectional area of the side yoke of the reactor is the same as the effective cross-sectional area of the main yoke.

步骤S105:基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程;Step S105: constructing a magnetic flux instantaneous equation based on an equivalent planar magnetic circuit network matching the reactor;

在本步骤中,假设电抗器的铁心柱中磁通按照正弦交变、三相磁通是对称的。即A相、B相、C相铁轭总磁通φA、φB、φC的瞬时值为:φA=φmsin(wt),φB=φmsin(wt-120),φC=φmsin(wt+120),其中,φm为铁轭的总磁通最大值。则根据电抗器结构和磁路特点,建立电抗器的等效平面磁路网络,以三相五柱式铁心电抗器为例,所述三相五柱式铁心电抗器的结构如图4所示,据三相五柱式铁心电抗器的结构和磁路特点,建立的等效平面磁路网络如图5所示。In this step, it is assumed that the magnetic flux in the iron core column of the reactor is sinusoidal alternating and the three-phase magnetic flux is symmetrical. That is, the instantaneous values of the total magnetic flux φ A , φ B, and φ C of the iron yoke of phase A, phase B , and phase C are: φ A = φ m sin (wt), φ B = φ m sin (wt-120), φ C = φ m sin (wt + 120), where φ m is the maximum value of the total magnetic flux of the iron yoke. Then, according to the structure and magnetic circuit characteristics of the reactor, an equivalent planar magnetic circuit network of the reactor is established. Taking a three-phase five-column iron core reactor as an example, the structure of the three-phase five-column iron core reactor is shown in Figure 4. According to the structure and magnetic circuit characteristics of the three-phase five-column iron core reactor, the equivalent planar magnetic circuit network established is shown in Figure 5.

建立所述等效平面磁路网络以后,采用瞬时分析的方法,将流过铁心中的基波进行N等分,对每一时间段运用磁路基本定律,所述电抗器为三相五柱式铁心结构电抗器,如图5所示,根据所述等效平面磁路网络,搭建任意t时刻的磁通瞬时方程组,即为磁通瞬时方程。After establishing the equivalent planar magnetic circuit network, the instantaneous analysis method is used to divide the fundamental wave flowing through the iron core into N equal parts, and the basic laws of the magnetic circuit are applied to each time period. The reactor is a three-phase five-column iron core structure reactor, as shown in Figure 5. According to the equivalent planar magnetic circuit network, a group of instantaneous flux equations at any time t is constructed, which is the instantaneous flux equation.

搭建好的磁通瞬时方程组为:The constructed flux instantaneous equations are:

其中:Ra(t),Rb(t),Rc(t)分别为t时刻时A、B、C三相铁心柱磁阻;Re1(t),Re2(t),Rj(t),Rz(t)分别为t时刻旁轭、主轭、铁心接缝夹角处及旁柱磁阻,FA(t),FB(t),FC(t)分别为t时刻时A、B、C三相磁压源,所述φ1(t)、φ3(t)、φ4(t)分别为t时刻等效平面磁路网络各回路磁通,其中φ1(t)具体为t时刻等效平面磁路网络的旁轭回路磁通。Wherein: Ra (t), Rb (t), Rc (t) are the magnetic resistances of the three-phase core columns A, B and C at time t respectively; Re1 (t), Re2 (t), Rj (t), Rz (t) are the magnetic resistances of the side yoke, main yoke, the angle of the core joint and the side columns at time t respectively; F A (t), F B (t), F C (t) are the magnetic pressure sources of the three-phase A, B and C at time t respectively; the φ1 (t), φ3 (t), φ4 (t) are the magnetic fluxes of each circuit of the equivalent planar magnetic circuit network at time t respectively; wherein φ1 (t) is specifically the magnetic flux of the side yoke circuit of the equivalent planar magnetic circuit network at time t.

步骤S106:求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;Step S106: Solve the flux instantaneous equations to derive the functional relationship between the return yoke flux and time;

在本步骤中,对所述磁通瞬时方程组求解,由三相磁通对称原则,可得出任意t时刻的旁轭磁通函数φ1(t):即,旁轭磁通随时间变化的函数关系式;In this step, the flux instantaneous equations are solved, and based on the three-phase flux symmetry principle, the return yoke flux function φ 1 (t) at any time t can be obtained: That is, the functional relationship between the side yoke flux and time;

步骤S107:基于旁轭磁通随时间变化的函数关系式建立目标函数f(t)=φmsinwt-φ1(t)-φ2(t),其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值;Step S107: establishing an objective function f(t)=φ m sinwt-φ 1 (t)-φ 2 (t) based on the functional relationship of the side yoke flux changing with time, wherein φ 2 (t) is the main yoke flux of the reactor, φ 1 (t) is the side yoke flux of the reactor, and φ m is the maximum total flux of the iron yoke of the reactor;

由磁路特点,铁轭总磁通由主轭磁通φ2(t)和旁轭磁通φ1(t)组成,以此建立目标函数f(t):According to the characteristics of the magnetic circuit, the total magnetic flux of the iron yoke is composed of the main yoke magnetic flux φ 2 (t) and the side yoke magnetic flux φ 1 (t), and the objective function f(t) is established based on this:

f(t)=φmsinwt-φ1(t)-φ2(t),进一步的 f(t)=φ m sinwt-φ 1 (t)-φ 2 (t), further

磁密值磁密值磁密值磁密值磁密值磁密值磁密值Magnetic density value Magnetic density value Magnetic density value Magnetic density value Magnetic density value Magnetic density value

步骤S108:基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;Step S108: Calculating the functional relationship between the side yoke magnetic flux density value and the side column magnetic flux density value changing with time based on the objective function;

在电抗器中,由于流过旁轭的磁通为总磁通减去主轭磁通,可推导出旁轭磁密值Be1(t)及旁柱磁密值Bz(t)随时间变换的函数关系式:In the reactor, since the magnetic flux flowing through the side yoke is the total magnetic flux minus the main yoke magnetic flux, the functional relationship between the side yoke magnetic flux value Be1 (t) and the side column magnetic flux value Bz (t) changing with time can be derived:

步骤S109:计算电抗器的旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻;Step S109: Calculate the magnetic resistance of the side yoke, the main yoke, the side column, and the magnetic resistance at the angle of the core joint of the reactor;

在电抗器中,由于受硅钢片磁化曲线的影响,电抗器中的各部分磁阻也随时间t的变化,形成非线性磁阻。在t时刻,按照预先给定的硅钢片B—μ关系函数,可求解电抗器中不同磁路磁导率,进而计算出旁轭磁阻Re1(t)、主轭磁阻Re2(t)、旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t),具体的:In the reactor, due to the influence of the magnetization curve of the silicon steel sheet, the magnetic resistance of each part in the reactor also changes with time t, forming a nonlinear magnetic resistance. At time t, according to the pre-given silicon steel sheet B-μ relationship function, the magnetic permeability of different magnetic circuits in the reactor can be solved, and then the side yoke magnetic resistance Re1 (t), main yoke magnetic resistance Re2 (t), side column magnetic resistance Rz (t) and magnetic resistance at the core joint angle Rj (t) can be calculated. Specifically:

步骤S110:基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Step S110: based on the functional relationship of the side yoke and side column magnetic density values changing with time, the side yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, the magnetic resistance at the core joint angle and the target function, the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times are calculated;

具体的,在执行本步骤是,可以预先判断所述目标函数的可靠性,在判断所述目标函数的可靠性时,通过以下方式进行:Specifically, when executing this step, the reliability of the objective function may be pre-judged. When judging the reliability of the objective function, the following method is used:

将求得的每个部分磁阻(旁轭磁阻Re1(t)、主轭磁阻Re2(t)、旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t))代入所述目标函数f(t),首先对t时刻主轭磁密值Be2(t)进行初始化,校核所述目标函数f(t)=0是否成立,如不满足要求,重新修正主轭磁密值Be2(t),然后返回步骤S108重新计算,不断循环迭代,直到找到合适的主轭磁密值Be2(t),该值即为该t时刻的主轭磁密值,也可得出旁轭t时刻磁密值、以及旁柱t时刻磁密值。Substitute each obtained partial magnetic resistance (side yoke magnetic resistance Re1 (t), main yoke magnetic resistance Re2 (t), side column magnetic resistance Rz (t) and magnetic resistance at the core joint angle Rj (t)) into the objective function f(t), first initialize the main yoke magnetic density value Be2 (t) at time t, and check whether the objective function f(t) = 0 holds. If it does not meet the requirements, re-correct the main yoke magnetic density value Be2 (t), and then return to step S108 to recalculate, and continuously iterate until a suitable main yoke magnetic density value Be2 (t) is found. This value is the main yoke magnetic density value at time t, and the side yoke magnetic density value at time t and the side column magnetic density value at time t can also be obtained.

步骤S111:计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;Step S111: Calculate the peak value of the Nth harmonic component in the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value, wherein the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic;

计算得到电抗器的铁轭(主轭、旁轭、旁柱)在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值以后,上步骤得到不同时间的磁密值,由于铁轭中含有谐波分量,为了精确计算铁轭损耗,可以利用傅里叶级数求解,将t时刻的主轭磁密值,也可得出旁轭t时刻磁密值、以及旁柱t时刻磁密值主要谐波分量(基波、三次谐波、五次谐波)下磁密值分离出来,并求解各谐波分量下的磁密值峰值,具体的:After calculating the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor's iron yoke (main yoke, side yoke, side column) at different times, the above steps obtain the magnetic density values at different times. Since the iron yoke contains harmonic components, in order to accurately calculate the iron yoke loss, the Fourier series can be used to solve the main yoke magnetic density value at time t, the side yoke magnetic density value at time t, and the magnetic density value of the side column magnetic density value at time t. The main harmonic components (fundamental wave, third harmonic, fifth harmonic) are separated, and the peak value of the magnetic density value under each harmonic component is solved, specifically:

其中:maxBe11、maxBz1、maxBe21分别为旁轭、主轭及旁柱的基波磁密值峰值T;maxBe13、maxBz3、maxBe23分别为旁轭、主轭及旁柱的三次谐波下磁密值峰值T;maxBe15、maxBz5、maxBe25分别为旁轭、主轭及旁柱的五次谐波下磁密值峰值T;Wherein: maxB e11 , maxB z1 , maxB e21 are the peak values of the fundamental magnetic flux density value T of the side yoke, main yoke and side column respectively; maxB e13 , maxB z3 , maxB e23 are the peak values of the magnetic flux density value T under the third harmonic of the side yoke, main yoke and side column respectively; maxB e15 , maxB z5 , maxB e25 are the peak values of the magnetic flux density value T under the fifth harmonic of the side yoke, main yoke and side column respectively;

步骤S112:基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;Step S112: Based on the preset B-P function relationship of the silicon steel sheet, the unit loss value and the total loss value of the side yoke, main yoke and side column under different harmonics are obtained by using the interpolation method;

在本步骤中,当计算得到主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值以后,按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值ΔP(maxBe1j)、ΔP(maxBe2j)、ΔP(maxBzj)及总损耗值Pe1、Pe2、Pz,具体的:In this step, after the peak values of the Nth harmonic components in the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value are calculated, the unit loss values ΔP(maxB e1j ), ΔP(maxB e2j ), ΔP(maxB zj ) and the total loss values P e1 , P e2 , and P z of the side yoke, main yoke, and side column under different harmonics are obtained by interpolation method according to the given B-P function relationship of the silicon steel sheet. Specifically:

其中:Ge1、Gz、Ge2分别为旁轭、旁柱、主轭的重量。Among them: Ge1 , Gz , Ge2 are the weights of the side yoke, side column and main yoke respectively.

步骤S113:将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值;Step S113: taking the sum of the total loss value of the side yoke, the main yoke, the side column and the core loss as the total core loss value of the reactor;

本步骤中,将以上求出的铁心损耗Pc、旁轭损耗Pe1、旁柱损耗Pe2及旁柱损耗Pz之和,即得到总的铁心损耗。In this step, the total core loss is obtained by adding the core loss P c , side yoke loss Pe1 , side post loss Pe2 and side post loss P z obtained above.

在本申请实施例公开的方案中,本发明在电抗器的铁芯饼损耗损耗计算时,采用有限元数值计算方法计算出待测电抗器的电磁仿真计算模型的磁场分布,基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗。在进行铁轭损耗计算时,基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组,求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式,基于旁轭磁通随时间变化的函数关系式建立目标函数,基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式,基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;最终基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值。In the scheme disclosed in the embodiment of the present application, when calculating the loss of the core disk of the reactor, the present invention uses a finite element numerical calculation method to calculate the magnetic field distribution of the electromagnetic simulation calculation model of the reactor to be tested, and extracts the loss of each core disk in the reactor based on the magnetic field distribution of the reactor. When calculating the iron yoke loss, based on the equivalent planar magnetic circuit network matching the reactor, a group of instantaneous equations for magnetic flux is constructed, the group of instantaneous equations for magnetic flux is solved, and the functional relationship of the change of the side yoke magnetic flux with time is derived. Based on the functional relationship of the change of the side yoke magnetic flux with time, an objective function is established. Based on the objective function, the functional relationship of the change of the side yoke magnetic density value and the side column magnetic density value with time is calculated. Based on the functional relationship of the change of the side yoke and side column magnetic density values with time, the side yoke magnetic resistance, the main yoke magnetic resistance, and the side The column magnetic resistance, the magnetic resistance at the angle of the core joint and the objective function are used to calculate the main yoke magnetic density value, side yoke magnetic density value and side column magnetic density value of the reactor at different times; the peak value of the Nth harmonic component in the main yoke magnetic density value, side yoke magnetic density value and side column magnetic density value is calculated, and the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic; finally, based on the preset silicon steel sheet B-P function relationship, the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics are obtained by interpolation method.

在电抗器中,由于旁轭、主轭磁通是周期函数,但并不是正弦交变磁通,说明铁轭中的磁通并不是只含有基波的正弦波磁通,还含有谐波分量。因此,在本方案中,为了精确计算铁轭损耗,因为旁轭、主轭磁通是周期性函数,所以可以将主轭、旁轭及旁柱磁密值展开为一个收敛的傅里叶级数。再运用傅里叶求解,得到不同谐波下(基波、三次谐波、五次谐波)磁密值峰值,进而得到单位损耗,最终得到铁心损耗。In the reactor, since the magnetic flux of the side yoke and the main yoke is a periodic function, but not a sinusoidal alternating magnetic flux, it means that the magnetic flux in the iron yoke does not only contain the fundamental sinusoidal magnetic flux, but also contains harmonic components. Therefore, in this scheme, in order to accurately calculate the iron yoke loss, since the magnetic flux of the side yoke and the main yoke is a periodic function, the magnetic density values of the main yoke, the side yoke and the side column can be expanded into a convergent Fourier series. Then, the Fourier solution is used to obtain the peak value of the magnetic density value under different harmonics (fundamental wave, third harmonic, fifth harmonic), and then the unit loss is obtained, and finally the core loss is obtained.

在实际工程中,铁心接缝形式、铁心搭接宽度、每叠片数、铁心接缝大小、铁心夹紧程度不同,会影响磁通分布不均匀。在生产制造时,铁心硅钢片在剪切、叠装、压紧、磕碰过程中,硅钢片的磁化性能会受到影响,磁化曲线数据也会发生一定的变化。这些因素都会影响磁路中各段磁阻大小的变化。因此需根据实际生产的情况并通过试验进行统计,在计算铁心损耗时,采用与之匹配的电抗器参数。In actual engineering, the core joint form, core overlap width, number of laminations per stack, core joint size, and core clamping degree are different, which will affect the uneven distribution of magnetic flux. During the production and manufacturing process, the magnetization performance of the core silicon steel sheet will be affected during the shearing, stacking, pressing, and bumping process, and the magnetization curve data will also change to a certain extent. These factors will affect the change in the magnetic resistance of each section in the magnetic circuit. Therefore, it is necessary to use the matching reactor parameters when calculating the core loss based on the actual production situation and through experiments.

本实施例中公开了一种电抗器铁心损耗计算装置,装置中的各个单元的具体工作内容,请参见上述方法实施例的内容,下面对本发明实施例提供的电抗器铁心损耗计算装置进行描述,下文描述的电抗器铁心损耗计算装置与上文描述的电抗器铁心损耗计算方法可相互对应参照。This embodiment discloses a device for calculating the core loss of a reactor. For the specific working contents of each unit in the device, please refer to the contents of the above-mentioned method embodiment. The device for calculating the core loss of a reactor provided in an embodiment of the present invention is described below. The device for calculating the core loss of a reactor described below and the method for calculating the core loss of a reactor described above can be referred to each other.

参见图6,该装置可以包括铁芯饼损耗计算单元100、铁轭损耗计算单元200和铁芯损耗计算单元300;6 , the device may include a core loss calculation unit 100 , an iron yoke loss calculation unit 200 , and a core loss calculation unit 300 ;

铁芯饼损耗计算单元100,用于获取待测电抗器的电磁仿真计算模型;采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;The core loss calculation unit 100 is used to obtain an electromagnetic simulation calculation model of the reactor to be tested; solve and calculate the electromagnetic simulation calculation model of the reactor using finite element magnetic field numerical calculation to obtain the magnetic field distribution of the reactor; and extract the loss of each core in the reactor based on the magnetic field distribution of the reactor;

铁轭损耗计算单元200,用于基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组;求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;基于旁轭磁通随时间变化的函数关系式建立目标函数其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值,所述w指的是角频率……,所述Re2(t)为t时刻主轭磁阻,所述Re1(t)为t时刻旁轭磁阻,所述Rz(t)为t时刻旁柱磁阻,所述Rj(t)为t时刻铁心接缝夹角处磁阻,所述Be2(t)为t时刻主轭磁密值,所述Sp为主轭有效截面积或旁轭有效截面积;基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;The iron yoke loss calculation unit 200 is used to calculate the effective cross-sectional area of the main yoke, the side yoke and the side column of the reactor based on the core structure size data of the reactor; to build a group of flux instantaneous equations based on an equivalent plane magnetic circuit network matching the reactor; to solve the group of flux instantaneous equations to derive the functional relationship of the side yoke flux changing with time; to establish an objective function based on the functional relationship of the side yoke flux changing with time Wherein, φ 2 (t) is the main yoke flux of the reactor, φ 1 (t) is the side yoke flux of the reactor, φ m is the maximum total flux of the iron yoke of the reactor, w refers to the angular frequency..., Re2 (t) is the main yoke magnetic resistance at time t, Re1 (t) is the side yoke magnetic resistance at time t, Rz (t) is the side column magnetic resistance at time t, Rj (t) is the magnetic resistance at the angle of the core joint at time t, Be2 (t) is the main yoke magnetic density value at time t, S p is the effective cross-sectional area of the main yoke or the effective cross-sectional area of the side yoke; based on the objective function, the functional relationship between the side yoke magnetic density value and the side column magnetic density value changing with time is calculated; based on the functional relationship between the side yoke and side column magnetic density values changing with time, the side yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the angle of the core joint and the objective function, the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times are calculated; the peak value of the Nth harmonic component in the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value is calculated, and the Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic; based on the preset silicon steel sheet B-P function relationship, the unit loss value and total loss value of the side yoke, main yoke, and side column under different harmonics are obtained by interpolation method;

铁芯损耗计算单元300,用于将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值。The core loss calculation unit 300 is used to take the sum of the total loss values of the side yoke, the main yoke, the side column and the core cake loss as the total core loss value of the reactor.

与上述方法相对应,所述铁芯饼损耗计算单元100在基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗时,具体用于:Corresponding to the above method, when the core loss calculation unit 100 extracts and obtains the losses of each core in the reactor based on the magnetic field distribution of the reactor, it is specifically used to:

基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Based on the magnetic field distribution of the reactor, a magnetic density value of a preset collection point on the iron core cake on the reactor is collected;

基于每个采集点的磁密值计算得到每个采集点的磁通;The magnetic flux of each acquisition point is calculated based on the magnetic density value of each acquisition point;

将每个铁心饼对应的所有采集点的单位磁通求和后,除以铁心饼有效截面积,得到该铁心饼的平均磁密值;The unit magnetic flux of all the acquisition points corresponding to each core cake is summed up and divided by the effective cross-sectional area of the core cake to obtain the average magnetic flux density value of the core cake;

基于预设的硅钢片B—P函数关系,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcBased on the preset B-P function relationship of the silicon steel sheet, the unit loss value ΔP (B ci ) of the core cake is calculated by using the interpolation method, and then the total core loss P c is obtained.

与上述方法相对应,所述铁轭损耗计算单元在基于旁轭及旁柱磁密值随时间变换的函数关系式、轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值时,具体用于:Corresponding to the above method, the iron yoke loss calculation unit is specifically used to calculate the main yoke magnetic density value, the side yoke magnetic density value, and the side column magnetic density value of the reactor at different times based on the functional relationship between the side yoke and the side column magnetic density values changing with time, the yoke magnetic resistance, the main yoke magnetic resistance, the side column magnetic resistance, and the magnetic resistance at the angle of the core joint and the objective function:

照给定的硅钢片B—μ关系函数,求解不同磁路磁导率,进而计算旁轭磁阻Re1(t),主轭磁阻Re2(t),旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t),:According to the given silicon steel sheet B-μ relationship function, solve the magnetic permeability of different magnetic circuits, and then calculate the side yoke reluctance Re1 (t), main yoke reluctance Re2 (t), side column reluctance Rz (t) and the reluctance at the core joint angle Rj (t):

将每个部分磁阻代入目标函数f(t)电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Substitute each partial magnetic resistance into the objective function f(t) to obtain the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times;

其中,所述Sz指的是电抗器旁柱有效截面积,所述μe1指的是旁轭磁导率,μe2指的是主轭磁导率μj指的是铁心接缝夹角处磁导率μz指的是旁柱磁导率,Mp指的是铁心中心至旁柱内侧距离,TS指的是旁柱厚度,Hp指的是上、下铁轭厚度,所述Hw指的是窗高。Among them, Sz refers to the effective cross-sectional area of the reactor side column, μe1 refers to the magnetic permeability of the side yoke, μe2 refers to the magnetic permeability of the main yoke, μj refers to the magnetic permeability at the angle of the core joint, μz refers to the magnetic permeability of the side column, Mp refers to the distance from the center of the core to the inner side of the side column, TS refers to the thickness of the side column, Hp refers to the thickness of the upper and lower iron yokes, and Hw refers to the window height.

与上述方法相对应,所述基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值,包括:Corresponding to the above method, the preset B-P function relationship of the silicon steel sheet is used to obtain the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics by interpolation method, including:

按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭单位损耗值ΔP(maxBe1j)、主轭单位损耗值ΔP(maxBe2j)、旁柱单位损耗值ΔP(maxBzj)及旁轭总损耗值Pe1、主轭总损耗值Pe2、旁柱总损耗值PzAccording to the given B-P function relationship of silicon steel sheet, the unit loss value of side yoke ΔP(maxB e1j ), the unit loss value of main yoke ΔP(maxB e2j ), the unit loss value of side column ΔP(maxB zj ) and the total loss value of side yoke P e1 , the total loss value of main yoke P e2 , and the total loss value of side column P z under different harmonics are obtained by interpolation method:

其中:Ge1为旁轭重量、Gz为旁柱重量、Ge2为主轭重量。Among them: Ge1 is the weight of the side yoke, Gz is the weight of the side column, and Ge2 is the weight of the main yoke.

为了描述的方便,描述以上系统时以功能分为各种模块分别描述。当然,在实施本发明时可以把各模块的功能在同一个或多个软件和/或硬件中实现。For the convenience of description, the above system is described by dividing it into various modules according to its functions. Of course, when implementing the present invention, the functions of each module can be implemented in the same or multiple software and/or hardware.

本说明书中的各个实施例均采用递进的方式描述,各个实施例之间相同相似的部分互相参见即可,每个实施例重点说明的都是与其他实施例的不同之处。尤其,对于系统或系统实施例而言,由于其基本相似于方法实施例,所以描述得比较简单,相关之处参见方法实施例的部分说明即可。以上所描述的系统及系统实施例仅仅是示意性的,其中所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部模块来实现本实施例方案的目的。本领域普通技术人员在不付出创造性劳动的情况下,即可以理解并实施。Each embodiment in this specification is described in a progressive manner, and the same or similar parts between the embodiments can refer to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the system or system embodiment, since it is basically similar to the method embodiment, the description is relatively simple, and the relevant parts can refer to the partial description of the method embodiment. The system and system embodiments described above are merely schematic, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the scheme of this embodiment. Ordinary technicians in this field can understand and implement it without paying creative labor.

专业人员还可以进一步意识到,结合本文中所公开的实施例描述的各示例的单元及算法步骤,能够以电子硬件、计算机软件或者二者的结合来实现,为了清楚地说明硬件和软件的可互换性,在上述说明中已经按照功能一般性地描述了各示例的组成及步骤。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。The professionals may further appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented by electronic hardware, computer software, or a combination of the two. In order to clearly illustrate the interchangeability of hardware and software, the composition and steps of each example have been generally described in terms of function in the above description. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians may use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of the present invention.

结合本文中所公开的实施例描述的方法或算法的步骤可以直接用硬件、处理器执行的软件模块,或者二者的结合来实施。软件模块可以置于随机存储器(RAM)、内存、只读存储器(ROM)、电可编程ROM、电可擦除可编程ROM、寄存器、硬盘、可移动磁盘、CD-ROM、或技术领域内所公知的任意其它形式的存储介质中。The steps of the method or algorithm described in conjunction with the embodiments disclosed herein may be implemented directly using hardware, a software module executed by a processor, or a combination of the two. The software module may be placed in a random access memory (RAM), a memory, a read-only memory (ROM), an electrically programmable ROM, an electrically erasable programmable ROM, a register, a hard disk, a removable disk, a CD-ROM, or any other form of storage medium known in the art.

还需要说明的是,在本文中,诸如第一和第二等之类的关系术语仅仅用来将一个实体或者操作与另一个实体或操作区分开来,而不一定要求或者暗示这些实体或操作之间存在任何这种实际的关系或者顺序。而且,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。It should also be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprise a ..." do not exclude the presence of other identical elements in the process, method, article or device including the elements.

对所公开的实施例的上述说明,使本领域专业技术人员能够实现或使用本发明。对这些实施例的多种修改对本领域的专业技术人员来说将是显而易见的,本文中所定义的一般原理可以在不脱离本发明的精神或范围的情况下,在其它实施例中实现。因此,本发明将不会被限制于本文所示的这些实施例,而是要符合与本文所公开的原理和新颖特点相一致的最宽的范围。The above description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to the embodiments shown herein, but rather to the widest scope consistent with the principles and novel features disclosed herein.

Claims (14)

1.一种电抗器铁心损耗计算方法,其特征在于,包括:1. A method for calculating reactor core loss, which is characterized by including: 获取待测电抗器的电磁仿真计算模型;Obtain the electromagnetic simulation calculation model of the reactor under test; 采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;Use finite element magnetic field numerical calculation to solve and calculate the electromagnetic simulation calculation model of the reactor to obtain the magnetic field distribution of the reactor; 基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;The loss of each iron core cake in the reactor is extracted based on the magnetic field distribution of the reactor; 基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;The effective cross-sectional area of the main yoke, side yoke and side column of the reactor is calculated based on the core structural size data of the reactor; 基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组;Based on the equivalent planar magnetic circuit network matching the reactor, a system of instantaneous magnetic flux equations is constructed; 求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;Solve the instantaneous flux equations and derive the functional relationship of the side yoke flux with time; 基于旁轭磁通随时间变化的函数关系式建立目标函数其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值,所述w指的为角频率,所述Re2(t)为t时刻主轭磁阻,所述Re1(t)为t时刻旁轭磁阻,所述Rz(t)为t时刻旁柱磁阻,所述Rj(t)为t时刻铁心接缝夹角处磁阻,所述Be2(t)为t时刻主轭磁密值,所述Sp为主轭有效截面积或旁轭有效截面积;Establish an objective function based on the functional relationship between the side yoke flux and time. Among them, φ 2 (t) is the main yoke magnetic flux of the reactor, φ 1 (t) is the side yoke magnetic flux of the reactor, φ m is the maximum total magnetic flux of the iron yoke of the reactor, and the w refers to is the angular frequency, the R e2 (t) is the main yoke magnetic resistance at time t, the R e1 (t) is the side yoke magnetic resistance at time t, the R z (t) is the side column magnetic resistance at time t, so R j (t) is the magnetic resistance at the angle of the core seam at time t, B e2 (t) is the magnetic density value of the main yoke at time t, and S p is the effective cross-sectional area of the main yoke or the effective cross-sectional area of the side yoke. ; 基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;Based on the objective function, the functional relationship expression of the side yoke magnetic density value and the side column magnetic density value changing with time is calculated; 基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Based on the functional relationship between the magnetic density values of the side yoke and the side column changing with time, the magnetic resistance of the side yoke, the magnetic resistance of the main yoke, the magnetic resistance of the side column, the magnetic resistance at the angle of the core seam, and the above-mentioned objective function, the reactance is calculated The main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the device at different times; 计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;Calculate the peak value of the Nth harmonic component in the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value. The Nth harmonic includes but is not limited to: fundamental wave, third harmonic, and fifth harmonic. harmonic; 基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;Based on the preset B-P function relationship of silicon steel sheets, the interpolation method is used to calculate the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics; 将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值。The sum of the total loss value of the side yoke, main yoke, side column and core cake loss is taken as the total core loss value of the reactor. 2.根据权利要求1所述的电抗器铁心损耗计算方法,其特征在于,基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗,包括:2. The method for calculating the core loss of the reactor according to claim 1, characterized in that the loss of each core cake in the reactor is extracted based on the magnetic field distribution of the reactor, including: 基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Collect the magnetic density value of a preset collection point on the iron core cake on the reactor based on the magnetic field distribution of the reactor; 基于每个采集点的磁密值计算得到每个采集点的磁通;The magnetic flux of each collection point is calculated based on the magnetic density value of each collection point; 将每个铁心饼对应的所有采集点的单位磁通求和后,除以铁心饼有效截面积,得到该铁心饼的平均磁密值;After summing the unit magnetic flux of all collection points corresponding to each iron core cake, divide it by the effective cross-sectional area of the iron core cake to obtain the average magnetic density value of the iron core cake; 基于预设的硅钢片B—P函数关系,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcBased on the preset B-P functional relationship of the silicon steel sheet, the interpolation method is used to calculate the unit loss value ΔP (B ci ) of the core cake, and then the total core loss P c is obtained. 3.根据权利要求2所述的电抗器铁心损耗计算方法,其特征在于,所述电抗器为三相五柱式铁心结构电抗器,所述磁通瞬时方程为:3. The reactor core loss calculation method according to claim 2, characterized in that the reactor is a three-phase five-column core structure reactor, and the magnetic flux instantaneous equation is: 其中:Ra(t)、Rb(t)、Rc(t)分别为t时刻时A、B、C三相铁心柱磁阻;FA(t)、FB(t)、FC(t)分别为t时刻时A、B、C三相磁压源,所述φ1(t)、φ3(t)、φ4(t)分别为t时刻等效平面磁路网络各回路磁通。Among them: R a (t), R b (t), R c (t) are the magnetic resistance of the three-phase iron core columns A, B, and C at time t respectively; F A (t), F B (t), F C (t) are respectively the three-phase magnetic pressure sources A, B, and C at time t, and φ 1 (t), φ 3 (t), and φ 4 (t) are the loops of the equivalent planar magnetic circuit network at time t, respectively. magnetic flux. 4.根据权利要求3所述的电抗器铁心损耗计算方法,其特征在于,旁轭磁通随时间变化的函数关系式为:4. The reactor core loss calculation method according to claim 3, characterized in that the functional relationship of the side yoke magnetic flux changing with time is: 5.根据权利要求4所述的电抗器铁心损耗计算方法,其特征在于,基于所述旁轭磁密值和旁柱磁密值随时间变化的函数关系式分别为:5. The reactor core loss calculation method according to claim 4, characterized in that the functional relationship expressions based on the changes of the side yoke magnetic density value and the side column magnetic density value with time are respectively: 其中,所述电抗器旁柱有效截面积,所述Be1(t)为电抗器旁轭在t时刻的磁密值,所述Bz(t)为电抗器旁柱在t时刻的磁密值。Among them, the effective cross-sectional area of the reactor side column, the B e1 (t) is the magnetic density value of the reactor side yoke at time t, and the B z (t) is the magnetic density value of the reactor side column at time t. value. 6.根据权利要求5所述的电抗器铁心损耗计算方法,其特征在于,所述基于旁轭及旁柱磁密值随时间变换的函数关系式、轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值,包括:6. The reactor core loss calculation method according to claim 5, characterized in that the functional relationship expression based on the time-dependent transformation of the magnetic density values of the side yoke and the side column, the yoke magnetic resistance, the main yoke magnetic resistance, the side column Using the magnetic resistance, the magnetic resistance at the angle of the core seam, and the objective function, we can calculate the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times, including: 照给定的硅钢片B—μ关系函数,求解不同磁路磁导率,进而计算旁轭磁阻Re1(t),主轭磁阻Re2(t),旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t):According to the given silicon steel sheet B-μ relationship function, solve the magnetic permeability of different magnetic circuits, and then calculate the side yoke magnetic resistance R e1 (t), the main yoke magnetic resistance R e2 (t), and the side column magnetic resistance R z (t) ) and the magnetic resistance R j (t) at the angle between the core joints: 其中,所述Sz指的是电抗器旁柱有效截面积,所述μe1指的是旁轭磁导率,μe2指的是主轭磁导率μj指的是铁心接缝夹角处磁导率μz指的是旁柱磁导率,Mp指的是铁心中心至旁柱内侧距离,TS指的是旁柱厚度,Hp指的是上、下铁轭厚度,所述Hw指的是窗高Among them, the S z refers to the effective cross-sectional area of the reactor side column, the μ e1 refers to the side yoke magnetic permeability, μ e2 refers to the main yoke magnetic permeability μ j refers to the core joint angle The magnetic permeability μ z refers to the magnetic permeability of the side pillars, Mp refers to the distance from the center of the core to the inside of the side pillars, TS refers to the thickness of the side pillars, Hp refers to the thickness of the upper and lower iron yokes, and the Hw refers to is the window height 将每个部分磁阻代入目标函数f(t)电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值。Substitute each part of the magnetic resistance into the objective function f(t) to obtain the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times. 7.根据权利要求6所述的电抗器铁心损耗计算方法,其特征在于,所述基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值,包括:7. The reactor core loss calculation method according to claim 6, characterized in that, based on the preset silicon steel sheet BP functional relationship, the interpolation method is used to calculate the side yoke, main yoke, and side yoke under different harmonics. Column unit loss value and total loss value, including: 按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭单位损耗值ΔP(maxBe1j)、主轭单位损耗值ΔP(maxBe2j)、旁柱单位损耗值ΔP(maxB zj)及旁轭总损耗值Pe1、主轭总损耗值Pe2、旁柱总损耗值PzAccording to the given silicon steel sheet B-P functional relationship, the interpolation method is used to calculate the side yoke unit loss value ΔP (maxB e1j ), the main yoke unit loss value ΔP (maxB e2j ), and the side column unit loss value ΔP ( maxB zj ) and the total loss value of the side yoke P e1 , the total loss value of the main yoke P e2 , and the total loss value of the side column P z : 其中:Ge1为旁轭重量、Gz为旁柱重量、Ge2为主轭重量。Among them: G e1 is the weight of the side yoke, G z is the weight of the side column, and G e2 is the weight of the main yoke. 8.一种电抗器铁心损耗计算装置,其特征在于,包括:8. A reactor core loss calculation device, characterized by including: 铁芯饼损耗计算单元,用于获取待测电抗器的电磁仿真计算模型;采用有限元磁场数值计算对所述电抗器的电磁仿真计算模型求解计算,得到所述电抗器的磁场分布;基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗;The iron core cake loss calculation unit is used to obtain the electromagnetic simulation calculation model of the reactor to be tested; use finite element magnetic field numerical calculation to solve and calculate the electromagnetic simulation calculation model of the reactor to obtain the magnetic field distribution of the reactor; based on the The magnetic field distribution of the reactor is extracted to obtain the loss of each iron core cake in the reactor; 铁轭损耗计算单元,用于基于所述电抗器的铁心结构尺寸数据计算得到所述电抗器的主轭、旁轭以及旁柱有效截面积;基于与所述电抗器相匹配的等效平面磁路网络,搭建磁通瞬时方程组;求解磁通瞬时方程组,推导出旁轭磁通随时间变化的函数关系式;基于旁轭磁通随时间变化的函数关系式建立目标函数其中,φ2(t)为电抗器的主轭磁通,φ1(t)为电抗器的旁轭磁通,φm为电抗器的铁轭的总磁通最大值,所述w指的是角频率,所述Re2(t)为t时刻主轭磁阻,所述Re1(t)为t时刻旁轭磁阻,所述Rz(t)为t时刻旁柱磁阻,所述Rj(t)为t时刻铁心接缝夹角处磁阻,所述Be2(t)为t时刻主轭磁密值,所述Sp为主轭有效截面积或旁轭有效截面积;基于所述目标函数计算得到旁轭磁密值和旁柱磁密值随时间变化的函数关系式;基于旁轭及旁柱磁密值随时间变换的函数关系式、旁轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;计算所述主轭磁密值、旁轭磁密值、旁柱磁密值中的N次谐波分量的峰值,所述N次谐波包括但不限于:基波、三次谐波和五次谐波;基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值;An iron yoke loss calculation unit is used to calculate the effective cross-sectional area of the main yoke, side yokes and side columns of the reactor based on the iron core structural size data of the reactor; based on the equivalent planar magnetic field matching the reactor circuit network, build the instantaneous flux equations; solve the flux instantaneous equations, and derive the functional relationship of the side yoke flux with time; establish the objective function based on the functional relationship of the side yoke flux with time Among them, φ 2 (t) is the main yoke magnetic flux of the reactor, φ 1 (t) is the side yoke magnetic flux of the reactor, φ m is the maximum total magnetic flux of the iron yoke of the reactor, and the w refers to is the angular frequency, the R e2 (t) is the main yoke magnetic resistance at time t, the R e1 (t) is the side yoke magnetic resistance at time t, the R z (t) is the side column magnetic resistance at time t, so R j (t) is the magnetic resistance at the angle of the core seam at time t, B e2 (t) is the magnetic density value of the main yoke at time t, and S p is the effective cross-sectional area of the main yoke or the effective cross-sectional area of the side yoke. ; Based on the objective function, the functional relationship expression of the side yoke magnetic density value and the side column magnetic density value changing with time is calculated; the functional relationship expression based on the time changing side yoke and side column magnetic density value, side yoke magnetic resistance, main Using the yoke magnetic resistance, side column magnetic resistance, and the magnetic resistance at the angle of the core seam as well as the objective function, the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times are calculated. ; Calculate the peak value of the Nth harmonic component in the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value. The Nth harmonic includes but is not limited to: fundamental wave, third harmonic and fifth harmonic. Sub-harmonic; based on the preset B-P function relationship of silicon steel sheets, use the interpolation method to calculate the unit loss value and total loss value of the side yoke, main yoke and side column under different harmonics; 铁芯损耗计算单元,用于将所述旁轭、主轭、旁柱的总损耗值以及铁芯饼损耗之和作为电抗器总的铁心损耗值。The core loss calculation unit is used to calculate the sum of the total loss value of the side yoke, main yoke, and side pillars and the core cake loss as the total core loss value of the reactor. 9.根据权利要求8所述的电抗器铁心损耗计算装置,其特征在于,铁芯饼损耗计算单元在基于所述电抗器的磁场分布提取得到所述电抗器中各个铁芯饼损耗时,具体用于:9. The reactor core loss calculation device according to claim 8, characterized in that when the core cake loss calculation unit extracts the core cake loss of each core cake in the reactor based on the magnetic field distribution of the reactor, specifically Used for: 基于所述电抗器的磁场分布采集所述电抗器上的铁芯饼上的预设采集点的磁密值;Collect the magnetic density value of a preset collection point on the iron core cake on the reactor based on the magnetic field distribution of the reactor; 基于每个采集点的磁密值计算得到每个采集点的磁通;The magnetic flux of each collection point is calculated based on the magnetic density value of each collection point; 将每个铁心饼对应的所有采集点的单位磁通求和后,除以铁心饼有效截面积,得到该铁心饼的平均磁密值;After summing the unit magnetic flux of all collection points corresponding to each iron core cake, divide it by the effective cross-sectional area of the iron core cake to obtain the average magnetic density value of the iron core cake; 基于预设的硅钢片B—P函数关系,利用插值法求出该铁心饼单位损耗值ΔP(Bci),进而得出铁心总损耗PcBased on the preset B-P functional relationship of the silicon steel sheet, the interpolation method is used to calculate the unit loss value ΔP (B ci ) of the core cake, and then the total core loss P c is obtained. 10.根据权利要求9所述的电抗器铁心损耗计算装置,其特征在于,所述电抗器为三相五柱式铁心结构电抗器,所述磁通瞬时方程为:10. The reactor core loss calculation device according to claim 9, characterized in that the reactor is a three-phase five-column core structure reactor, and the magnetic flux instantaneous equation is: 其中:Ra(t)、Rb(t)、Rc(t)分别为t时刻时A、B、C三相铁心柱磁阻;FA(t)、FB(t)、FC(t)分别为t时刻时A、B、C三相磁压源,所述φ1(t)、φ3(t)、φ4(t)、分别为t时刻等效平面磁路网络各回路磁通。Among them: R a (t), R b (t), R c (t) are the magnetic resistance of the three-phase iron core columns A, B, and C at time t respectively; F A (t), F B (t), F C (t) are the three-phase magnetic pressure sources A, B, and C at time t, respectively. The φ 1 (t), φ 3 (t), and φ 4 (t) are respectively the equivalent planar magnetic circuit network at time t. loop flux. 11.根据权利要求10所述的电抗器铁心损耗计算装置,其特征在于,旁轭磁通随时间变化的函数关系式为:11. The reactor core loss calculation device according to claim 10, characterized in that the functional relationship of the side yoke magnetic flux changing with time is: 12.根据权利要求11所述的电抗器铁心损耗计算装置,其特征在于,基于所述旁轭磁密值和旁柱磁密值随时间变化的函数关系式分别为:12. The reactor core loss calculation device according to claim 11, characterized in that the functional relationship expressions based on the changes of the side yoke magnetic density value and the side column magnetic density value with time are respectively: 其中,所述电抗器旁柱有效截面积,所述Be1(t)为电抗器旁轭在t时刻的磁密值,所述Bz(t)为电抗器旁柱在t时刻的磁密值。Among them, the effective cross-sectional area of the reactor side column, the B e1 (t) is the magnetic density value of the reactor side yoke at time t, and the B z (t) is the magnetic density value of the reactor side column at time t. value. 13.根据权利要求12所述的电抗器铁心损耗计算装置,其特征在于,所述铁轭损耗计算单元在基于旁轭及旁柱磁密值随时间变换的函数关系式、轭磁阻、主轭磁阻、旁柱磁阻、及铁心接缝夹角处磁阻以及所述目标函数,计算得到电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值时,具体用于:13. The reactor core loss calculation device according to claim 12, characterized in that the iron yoke loss calculation unit is based on the functional relationship expression of the side yoke and side column magnetic density values changing over time, the yoke reluctance, the main Using the yoke magnetic resistance, side column magnetic resistance, and the magnetic resistance at the angle of the core seam as well as the objective function, the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times are calculated. When, it is specifically used for: 照给定的硅钢片B—μ关系函数,求解不同磁路磁导率,进而计算旁轭磁阻Re1(t),主轭磁阻Re2(t),旁柱磁阻Rz(t)及铁心接缝夹角处磁阻Rj(t):According to the given silicon steel sheet B-μ relationship function, solve the magnetic permeability of different magnetic circuits, and then calculate the side yoke magnetic resistance R e1 (t), the main yoke magnetic resistance R e2 (t), and the side column magnetic resistance R z (t) ) and the magnetic resistance R j (t) at the angle between the core joints: 将每个部分磁阻代入目标函数f(t)电抗器在不同时刻下的主轭磁密值、旁轭磁密值、旁柱磁密值;Substitute each part of the magnetic resistance into the objective function f(t) to obtain the main yoke magnetic density value, side yoke magnetic density value, and side column magnetic density value of the reactor at different times; 其中,所述Sz指的是电抗器旁柱有效截面积,所述μs1指的是旁轭磁导率,μs2指的是主轭磁导率μj指的是铁心接缝夹角处磁导率μz指的是旁柱磁导率,Mp指的是铁心中心至旁柱内侧距离,TS指的是旁柱厚度,Hp指的是上、下铁轭厚度,所述Hw指的是窗高。Among them, the S z refers to the effective cross-sectional area of the reactor side column, the μ s1 refers to the side yoke magnetic permeability, μ s2 refers to the main yoke magnetic permeability μ j refers to the core joint angle The magnetic permeability μ z refers to the magnetic permeability of the side pillars, Mp refers to the distance from the center of the core to the inside of the side pillars, TS refers to the thickness of the side pillars, Hp refers to the thickness of the upper and lower iron yokes, and the Hw refers to is the window height. 14.根据权利要求13所述的电抗器铁心损耗计算装置,其特征在于,所述基于预设的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭、主轭、旁柱单位损耗值及总损耗值,包括:14. The reactor core loss calculation device according to claim 13, characterized in that, based on the preset silicon steel sheet BP functional relationship, the interpolation method is used to calculate the side yoke, main yoke, side yoke under different harmonics. Column unit loss value and total loss value, including: 按照给定的硅钢片B—P函数关系,利用插值法求出不同谐波下旁轭单位损耗值ΔP(maxBe1j)、主轭单位损耗值ΔP(maxBe2j)、旁柱单位损耗值ΔP(maxBzj)及旁轭总损耗值Pe1、主轭总损耗值Pe2、旁柱总损耗值PzAccording to the given silicon steel sheet B-P functional relationship, the interpolation method is used to calculate the side yoke unit loss value ΔP (maxB e1j ), the main yoke unit loss value ΔP (maxB e2j ), and the side column unit loss value ΔP ( maxB zj ) and the total loss value of the side yoke P e1 , the total loss value of the main yoke P e2 , and the total loss value of the side column P z : 其中:Ge1为旁轭重量、Gz为旁柱重量、Ge2为主轭重量。Among them: G e1 is the weight of the side yoke, G z is the weight of the side column, and G e2 is the weight of the main yoke.
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