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CN112255567B - Short-circuit current rapid determination method for power distribution network containing photovoltaic power supply - Google Patents

Short-circuit current rapid determination method for power distribution network containing photovoltaic power supply Download PDF

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CN112255567B
CN112255567B CN202011112678.0A CN202011112678A CN112255567B CN 112255567 B CN112255567 B CN 112255567B CN 202011112678 A CN202011112678 A CN 202011112678A CN 112255567 B CN112255567 B CN 112255567B
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photovoltaic power
power source
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circuit current
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CN112255567A (en
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李英量
王德明
王澍
王康
朱琦
朱豪
周丽雯
孔维旭
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Xian Shiyou University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/52—Testing for short-circuits, leakage current or ground faults
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/0092—Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring current only
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381—Dispersed generators
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin
    • H02J2300/22—The renewable source being solar energy
    • H02J2300/24—The renewable source being solar energy of photovoltaic origin
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/50—Photovoltaic [PV] energy
    • Y02E10/56—Power conversion systems, e.g. maximum power point trackers

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Abstract

一种含光伏电源配电网的短路电流快速确定方法，步骤1：根据故障点位置和光伏电源接入位置，分别计算光伏电源位置系数和电源位置系数；步骤2：计算并存储发生三相金属性短路故障时的短路电流；并以光伏电源额定电流为初值，计算光伏电源接入系统后流经线路的短路电流；步骤3：计算此时光伏电源的输出电流；步骤4：判断本次光伏电源输出电流的计算结果是否满足收敛精度要求，若满足则输出计算结果，否则转步骤2；本发明仅利用系统接入光伏电源前的三相金属性短路电流作为初值进行计算，不需要处理节点阻抗矩阵，节点数目不影响计算所用的时间，因此可用于含光伏电源的大型辐射状配电网短路电流的快速计算并为自适应电流保护提供思路和参考。

Figure 202011112678

A method for quickly determining the short-circuit current of a distribution network containing photovoltaic power sources, step 1: calculate the position coefficient of photovoltaic power source and the position coefficient of power source respectively according to the location of the fault point and the access position of photovoltaic power source; step 2: calculate and store the occurrence of three-phase metal The short-circuit current at the time of a permanent short-circuit fault; and using the rated current of the photovoltaic power supply as the initial value, calculate the short-circuit current flowing through the line after the photovoltaic power supply is connected to the system; Step 3: Calculate the output current of the photovoltaic power supply at this time; Step 4: Judge the current Whether the calculation result of the output current of the photovoltaic power supply meets the convergence accuracy requirements, and if so, output the calculation result, otherwise go to step 2; the present invention only uses the three-phase metallic short-circuit current before the system is connected to the photovoltaic power supply as the initial value for calculation, and does not need Dealing with node impedance matrix, the number of nodes does not affect the calculation time, so it can be used for fast calculation of short-circuit current in large radial distribution network with photovoltaic power supply and provides ideas and reference for adaptive current protection.

Figure 202011112678

Description

一种含光伏电源配电网的短路电流快速确定方法A method for quickly determining short-circuit current in a photovoltaic power distribution network

技术领域Technical Field

本发明属于电力系统故障分析技术领域，特别涉及一种含光伏电源配电网的短路电流快速确定方法。The invention belongs to the technical field of power system fault analysis, and in particular relates to a method for quickly determining the short-circuit current of a distribution network containing a photovoltaic power source.

背景技术Background Art

对故障分析和短路电流的确定是电力系统设备选型和继电保护整定计算的主要依据。分布式电源的接入，使得传统的配电网短路计算方法不再适用。光伏电源作为常见的分布式电源类型，其故障输出特性与机组类电源不同，因此加大了含光伏电源配电网的短路计算方法的难度。Fault analysis and determination of short-circuit current are the main basis for power system equipment selection and relay protection setting calculation. The access of distributed power sources makes the traditional distribution network short-circuit calculation method no longer applicable. As a common type of distributed power source, photovoltaic power sources have different fault output characteristics from unit-type power sources, which increases the difficulty of short-circuit calculation methods for distribution networks containing photovoltaic power sources.

含光伏电源配电网短路电流的确定方法主要包含两个方面，一是光伏电源短路计算模型的建立，二是短路计算的方法。光伏电源一般通过电压源型逆变器并网，其故障等值模型可用压控电流源。而三相平衡系统短路计算的方法多采用序分量法，该方法可将三相系统解耦，降低计算难度、提高计算效率。The method for determining the short-circuit current of a distribution network containing photovoltaic power sources mainly includes two aspects: one is the establishment of a photovoltaic power source short-circuit calculation model, and the other is the short-circuit calculation method. Photovoltaic power sources are generally connected to the grid through voltage source inverters, and their fault equivalent model can be a voltage-controlled current source. The method for short-circuit calculation of a three-phase balanced system mostly uses the sequence component method, which can decouple the three-phase system, reduce the difficulty of calculation, and improve the calculation efficiency.

现有的针对含光伏电源配电网的短路计算方法主要多采用输电网中基于节点阻抗矩阵的方法。由于配电网的结构和输电网不同，采用输电网中基于系统节点阻抗矩阵的方法存在以下三个问题：一是由于配电网节点数目较多且系统结构可能发生变化，形成和修改节点阻抗的计算量大。二是将高维数节点阻抗矩阵用于有源配电网短路电流的迭代求解，存在计算时间偏长的问题。三是该类方法计算时只考虑了分布式电源从原网络节点接入的情况。当分布式电源未从原网络节点处接入时，每增加一台分布式电源则需要增加一个无源网络节点数，节点阻抗矩阵的维数随之增加，进一步增加了计算所用的时间。The existing short-circuit calculation methods for distribution networks containing photovoltaic power sources mainly adopt the node impedance matrix-based methods in the transmission network. Due to the different structures of the distribution network and the transmission network, the method based on the system node impedance matrix in the transmission network has the following three problems: First, due to the large number of distribution network nodes and the possible changes in the system structure, the amount of calculation required to form and modify the node impedance is large. Second, the high-dimensional node impedance matrix is used for the iterative solution of the short-circuit current of the active distribution network, which has the problem of long calculation time. Third, this type of method only considers the situation where the distributed power source is connected from the original network node during calculation. When the distributed power source is not connected from the original network node, each additional distributed power source requires an increase in the number of passive network nodes, and the dimension of the node impedance matrix increases accordingly, further increasing the time used for calculation.

发明内容Summary of the invention

为克服现有技术的缺陷，进一步提升含光伏电源配电网短路计算的速度，本发明的目的在于提供一种含光伏电源配电网的短路电流快速确定方法，该方法首先考虑控制策略和低电压穿越特性建立光伏电源压控电流源故障等值模型，然后基于系统故障时的复合序网分析，最后提出将配电网接入光伏电源前三相金属性短路电流作为初值计算配电网接入光伏电源后的各种相间短路电流，具有较少的计算步骤和较短的计算时间。In order to overcome the defects of the prior art and further improve the speed of short-circuit calculation of a distribution network containing photovoltaic power sources, the purpose of the present invention is to provide a method for quickly determining the short-circuit current of a distribution network containing photovoltaic power sources. The method first considers the control strategy and low voltage ride-through characteristics to establish a photovoltaic power supply voltage-controlled current source fault equivalent model, then analyzes the composite sequence network based on system failures, and finally proposes to use the three-phase metallic short-circuit current before the distribution network is connected to the photovoltaic power source as the initial value to calculate various phase-to-phase short-circuit currents after the distribution network is connected to the photovoltaic power source, which has fewer calculation steps and shorter calculation time.

为了达到上述目的，本发明的技术方案为：In order to achieve the above object, the technical solution of the present invention is:

一种含光伏电源配电网的短路电流快速确定方法，包括以下步骤：A method for quickly determining the short-circuit current of a photovoltaic power distribution network comprises the following steps:

步骤1：根据故障点位置和光伏电源接入位置，分别计算光伏电源位置系数ki和电源位置系数l：Step 1: According to the location of the fault point and the location of the photovoltaic power source, calculate the photovoltaic power source location coefficient k i and the power source location coefficient l respectively:

光伏电源位置系数ki和电源位置系数l分别定义为：The photovoltaic power source location coefficient k i and the power source location coefficient l are defined as:

Figure BDA0002729109520000021
Figure BDA0002729109520000021

Figure BDA0002729109520000022
Figure BDA0002729109520000022

其中，

Figure BDA0002729109520000023
分别代表上级电网与DG i、上级电网与故障点Fu之间的正序阻抗，其值等于相应节点对地端口的正序戴维南等值阻抗；
Figure BDA0002729109520000024
表示电源等值阻抗；in,
Figure BDA0002729109520000023
They represent the positive-sequence impedance between the upper power grid and DG i, and between the upper power grid and the fault point Fu, respectively, and their values are equal to the positive-sequence Thevenin equivalent impedance of the corresponding node to the ground port;
Figure BDA0002729109520000024
Indicates the equivalent impedance of the power supply;

步骤2：计算并存储发生三相金属性短路故障时的短路电流；以光伏电源额定电流为初值，按照式(3)～式(7)计算系统接入光伏电源后的短路电流：Step 2: Calculate and store the short-circuit current when a three-phase metallic short-circuit fault occurs; take the rated current of the photovoltaic power source as the initial value, and calculate the short-circuit current of the system after it is connected to the photovoltaic power source according to equations (3) to (7):

(1)、光伏电源位于故障线路的相邻线路(1) The photovoltaic power source is located in the adjacent line of the fault line

Figure BDA0002729109520000031
Figure BDA0002729109520000031

其中，

Figure BDA0002729109520000032
和
Figure BDA0002729109520000033
分别为系统接入光伏电源后故障电流的正序分量和系统接入光伏电源前三相短路电流的正序分量；
Figure BDA0002729109520000034
为光伏电源输出的故障电流，m为接入的光伏电源数目；β为故障类型系数，可按照不同类型的故障分别取值：in,
Figure BDA0002729109520000032
and
Figure BDA0002729109520000033
They are respectively the positive sequence component of the fault current after the system is connected to the photovoltaic power source and the positive sequence component of the three-phase short-circuit current before the system is connected to the photovoltaic power source;
Figure BDA0002729109520000034
is the fault current output by the photovoltaic power source, m is the number of connected photovoltaic power sources; β is the fault type coefficient, which can be set according to different types of faults:

Figure BDA0002729109520000035
Figure BDA0002729109520000035

其中，

Figure BDA0002729109520000036
in,
Figure BDA0002729109520000036

(2)、光伏电源位于故障线路(2) The photovoltaic power source is located on the fault line

a、流过光伏电源上游线路的短路电流：a. Short-circuit current flowing through the upstream line of the photovoltaic power source:

Figure BDA0002729109520000037
Figure BDA0002729109520000037

其中，n为故障点下游接入的光伏电源数目；Where n is the number of photovoltaic power sources connected downstream of the fault point;

b、流过光伏电源中间线路的短路电流：b. Short-circuit current flowing through the middle line of the photovoltaic power source:

Figure BDA0002729109520000038
Figure BDA0002729109520000038

其中，p为中间线路上游接入的光伏电源数目；Where p is the number of photovoltaic power sources connected upstream of the intermediate line;

c、流过故障点的短路电流：c. Short-circuit current flowing through the fault point:

Figure BDA0002729109520000039
Figure BDA0002729109520000039

步骤3：按照式(8)～式(10)计算光伏电源并网点电压；考虑光伏电源低电压穿越故障输出特性，按照式(11)、(12)计算此时光伏电源的输出电流

Figure BDA0002729109520000041
Step 3: Calculate the grid-connected point voltage of the photovoltaic power source according to equations (8) to (10); Consider the output characteristics of the photovoltaic power source under low voltage ride-through fault, and calculate the output current of the photovoltaic power source at this time according to equations (11) and (12):
Figure BDA0002729109520000041

(1)、光伏电源位于故障线路的相邻线路(1) The photovoltaic power source is located in the adjacent line of the fault line

Figure BDA0002729109520000042
Figure BDA0002729109520000042

其中，

Figure BDA0002729109520000043
和
Figure BDA0002729109520000044
分别为系统接入光伏电源前后并网点电压的正序分量；in,
Figure BDA0002729109520000043
and
Figure BDA0002729109520000044
They are respectively the positive sequence components of the grid connection point voltage before and after the system is connected to the photovoltaic power source;

(2)、光伏电源位于故障线路(2) The photovoltaic power source is located on the fault line

a、故障点上游光伏电源并网点电压：a. Voltage of the photovoltaic power grid connection point upstream of the fault point:

Figure BDA0002729109520000045
Figure BDA0002729109520000045

b、故障点下游光伏电源并网点电压：b. Voltage of the photovoltaic power grid connection point downstream of the fault point:

Figure BDA0002729109520000046
Figure BDA0002729109520000046

考虑光伏电源并网点电压和输出电流的耦合关系，计算其输出电流：Considering the coupling relationship between the grid-connected point voltage and output current of the photovoltaic power source, its output current is calculated:

Figure BDA0002729109520000047
Figure BDA0002729109520000047

其中，Id和Iq分别为光伏电源输出的有功和无功电流；Imax为光伏电源的最大输出电流；UN为基准电压；

Figure BDA0002729109520000048
和
Figure BDA0002729109520000049
分别为并网点电压和光伏电源输出电流的正序分量；θ为光伏电源并网点电压相角；α为电压跌落系数，根据不同地区光伏电源的并网规定，取值为1.5～2；Where, I d and I q are respectively the active and reactive currents output by the photovoltaic power source; I max is the maximum output current of the photovoltaic power source; U N is the reference voltage;
Figure BDA0002729109520000048
and
Figure BDA0002729109520000049
are the positive sequence components of the grid connection point voltage and the output current of the photovoltaic power source respectively; θ is the voltage phase angle of the photovoltaic power source grid connection point; α is the voltage drop coefficient, which is 1.5 to 2 according to the grid connection regulations of photovoltaic power sources in different regions;

Figure BDA00027291095200000410
Figure BDA00027291095200000410

步骤4：定义迭代精度ε，取值0.0001，计算并判断

Figure BDA0002729109520000051
是否成立，若不成立用
Figure BDA0002729109520000052
更新
Figure BDA0002729109520000053
若成立则输出短路电流计算结果。Step 4: Define the iteration precision ε, take the value as 0.0001, calculate and judge
Figure BDA0002729109520000051
Is it established? If not, use
Figure BDA0002729109520000052
renew
Figure BDA0002729109520000053
If true, the short-circuit current calculation result is output.

本发明的优点：Advantages of the present invention:

该方法基于配电网故障时的复合序网分析，并考虑了光伏电源并网点电压和其输出电流的耦合关系，直接利用系统接入光伏电源前的三相金属性短路电流作为初值迭代计算含光伏电源配电网的短路电流。该方法不需要生成和处理节点阻抗矩阵，节点数目不影响计算用时，可快速计算含光伏电源辐射状配电网各种相间故障的短路电流，并为自适应电流保护提供思路和依据。This method is based on the composite sequence network analysis of distribution network faults, and considers the coupling relationship between the voltage at the photovoltaic power grid connection point and its output current. It directly uses the three-phase metallic short-circuit current before the system is connected to the photovoltaic power source as the initial value to iteratively calculate the short-circuit current of the distribution network containing photovoltaic power sources. This method does not need to generate and process the node impedance matrix, and the number of nodes does not affect the calculation time. It can quickly calculate the short-circuit current of various interphase faults in the radial distribution network containing photovoltaic power sources, and provide ideas and basis for adaptive current protection.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1是含光伏电源配电网短路电流快速确定方法的流程图。FIG1 is a flow chart of a method for quickly determining short-circuit current in a distribution network containing photovoltaic power sources.

图2为本发明算例采用的含光伏电源33节点系统接线示意图。FIG2 is a wiring diagram of a 33-node system containing photovoltaic power sources used in the example of the present invention.

图3为本发明算例的计算时间对比图；图3中：图3(a)是三相短路的情况，图3(b)是两相短路的情况。FIG3 is a comparison diagram of the calculation time of the example of the present invention; in FIG3 : FIG3 (a) is a three-phase short circuit case, and FIG3 (b) is a two-phase short circuit case.

具体实施方式DETAILED DESCRIPTION

下面结合附图对本发明做详细叙述。The present invention will be described in detail below in conjunction with the accompanying drawings.

如图2所示，本发明所采用的算例为含光伏电源33节点系统，系统额定电压取10.5kV，基准功率和基准电压分别为100MVA和10.5kV。上级电网短路容量为50MVA，等值阻抗为0.31+j2.18Ω。四台光伏电源分别T接于图3所示线路的中间位置，容量分别为1MW、1MW、0.5MW和0.5MW。故障点F1设在连接节点12和13的线路中间，F2设在节点18处，F3设在连接节点30和31的线路中间，F4设在连接节点8和9的线路中间。As shown in FIG2 , the calculation example used in the present invention is a system with 33 photovoltaic power supply nodes, the rated voltage of the system is 10.5 kV, the reference power and the reference voltage are 100 MVA and 10.5 kV respectively. The short-circuit capacity of the upper power grid is 50 MVA, and the equivalent impedance is 0.31+j2.18 Ω. Four photovoltaic power supplies are respectively connected to the middle position of the line shown in FIG3 , and the capacities are 1 MW, 1 MW, 0.5 MW and 0.5 MW respectively. The fault point F1 is set in the middle of the line connecting nodes 12 and 13, F2 is set at node 18, F3 is set in the middle of the line connecting nodes 30 and 31, and F4 is set in the middle of the line connecting nodes 8 and 9.

一种含光伏电源配电网的短路电路快速确定方法，具体计算步骤如附图1所示：A method for quickly determining a short circuit in a photovoltaic power distribution network, the specific calculation steps are shown in Figure 1:

步骤1：根据故障点位置和光伏电源接入位置，分别计算光伏电源位置系数ki和电源位置系数l，计算结果如表1所列。Step 1: According to the location of the fault point and the access location of the PV power source, the PV power source location coefficient k i and the power source location coefficient l are calculated respectively. The calculation results are listed in Table 1.

表1Table 1

Figure BDA0002729109520000061
Figure BDA0002729109520000061

步骤2：计算并存储该点发生三相金属性短路故障时的短路电流，计算结果如表2所列。Step 2: Calculate and store the short-circuit current when a three-phase metallic short-circuit fault occurs at this point. The calculation results are listed in Table 2.

表2Table 2

Figure BDA0002729109520000062
Figure BDA0002729109520000062

以光伏电源额定电流为初值

Figure BDA0002729109520000063
计算光伏电源接入系统的三相和两相短路电流，计算结果如表3所列。Take the rated current of photovoltaic power source as the initial value
Figure BDA0002729109520000063
The three-phase and two-phase short-circuit currents of the photovoltaic power access system are calculated. The calculation results are listed in Table 3.

表3Table 3

Figure BDA0002729109520000064
Figure BDA0002729109520000064

Figure BDA0002729109520000071
Figure BDA0002729109520000071

步骤3：计算光伏电源并网点电压，计算结果如表4所列。Step 3: Calculate the grid-connected point voltage of the photovoltaic power source. The calculation results are listed in Table 4.

表4Table 4

Figure BDA0002729109520000072
Figure BDA0002729109520000072

考虑光伏电源低电压穿越故障输出特性，计算此时光伏电源的输出电流

Figure BDA0002729109520000073
计算结果如表5所列：Considering the low voltage ride-through fault output characteristics of the photovoltaic power supply, calculate the output current of the photovoltaic power supply at this time
Figure BDA0002729109520000073
The calculation results are listed in Table 5:

表5Table 5

Figure BDA0002729109520000074
Figure BDA0002729109520000074

Figure BDA0002729109520000081
Figure BDA0002729109520000081

步骤4：定义迭代精度(本算例中ε取0.0001)，计算

Figure BDA0002729109520000082
Figure BDA0002729109520000083
不成立，用
Figure BDA0002729109520000084
更新
Figure BDA0002729109520000085
转步骤2并重复步骤2、3、4，直至满足收敛精度要求。本算例中，计算三相短路电流时经最大4次迭代达到收敛要求，两相短路电流时经最大6次迭代达到收敛要求，最终计算结果如表6所示。同时，在MATLAB/Simulink中搭建仿真模型，并将计算结果和仿真结果相比较。由表中数据可知，本文所提方法的计算结果和仿真结果之间的误差较小，相对误差不超过3.8％，从而验证了本发明的有效性。Step 4: Define the iteration accuracy (in this example, ε is 0.0001) and calculate
Figure BDA0002729109520000082
Figure BDA0002729109520000083
Not established, use
Figure BDA0002729109520000084
renew
Figure BDA0002729109520000085
Go to step 2 and repeat steps 2, 3, and 4 until the convergence accuracy requirements are met. In this example, the convergence requirements are met after a maximum of 4 iterations when calculating the three-phase short-circuit current, and the convergence requirements are met after a maximum of 6 iterations when calculating the two-phase short-circuit current. The final calculation results are shown in Table 6. At the same time, a simulation model is built in MATLAB/Simulink, and the calculation results are compared with the simulation results. It can be seen from the data in the table that the error between the calculation results and the simulation results of the method proposed in this article is small, and the relative error does not exceed 3.8%, thereby verifying the effectiveness of the present invention.

表6Table 6

Figure BDA0002729109520000086
Figure BDA0002729109520000086

Figure BDA0002729109520000091
Figure BDA0002729109520000091

为验证本发明的快速性，将通用计算方法和本发明计算的迭代次数与计算时间相比较，比较结果如附图3所示。由附图3可知，通用方法在不同情况下的计算时间在155ms～191ms之间(图中每组的左边)，而本发明所提方法计算时间在83ms以内(图中每组的右边)。本发明方法迭代次数较少、算法用时短，能够在保证结果正确性的同时大幅提升计算速度。To verify the rapidity of the present invention, the number of iterations and the calculation time calculated by the general calculation method and the present invention are compared, and the comparison results are shown in Figure 3. As shown in Figure 3, the calculation time of the general method under different conditions is between 155ms and 191ms (the left side of each group in the figure), while the calculation time of the method proposed in the present invention is within 83ms (the right side of each group in the figure). The method of the present invention has fewer iterations and a shorter algorithm time, which can greatly improve the calculation speed while ensuring the correctness of the results.

以上所述算例仅为本发明的优选实例而已，并不用于限制本发明，对本领域的技术人员来说，本发明可以有各种更改和变化。凡在本发明的精神和原则之内，所作的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。The above-mentioned calculation examples are only preferred examples of the present invention and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims (2)

1.一种含光伏电源配电网的短路电流快速确定方法，其特征在于，包括以下步骤：1. A method for quickly determining the short-circuit current of a photovoltaic power distribution network, characterized in that it comprises the following steps: 步骤1：根据故障点位置和光伏电源接入位置，分别计算光伏电源位置系数ki和电源位置系数l：Step 1: According to the location of the fault point and the location of the photovoltaic power source, calculate the photovoltaic power source location coefficient k i and the power source location coefficient l respectively: 光伏电源位置系数ki和电源位置系数l分别定义为The photovoltaic power source location coefficient k i and the power source location coefficient l are defined as
Figure FDA0004159922490000011
Figure FDA0004159922490000011
Figure FDA0004159922490000012
Figure FDA0004159922490000012
 其中，
Figure FDA0004159922490000013
分别代表上级电网与DG i、上级电网与故障点Fu之间的正序阻抗，其值等于相应节点对地端口的正序戴维南等值阻抗；
Figure FDA0004159922490000014
表示电源等值阻抗；in,
Figure FDA0004159922490000013
They represent the positive-sequence impedance between the upper power grid and DG i, and between the upper power grid and the fault point Fu, respectively, and their values are equal to the positive-sequence Thevenin equivalent impedance of the corresponding node to the ground port;
Figure FDA0004159922490000014
Indicates the equivalent impedance of the power supply; 步骤2：计算并存储发生三相金属性短路故障时的短路电流；以光伏电源额定电流为初值，计算系统接入光伏电源后的短路电流；Step 2: Calculate and store the short-circuit current when a three-phase metallic short-circuit fault occurs; take the rated current of the photovoltaic power source as the initial value, and calculate the short-circuit current after the system is connected to the photovoltaic power source; 步骤3：计算光伏电源并网点电压；考虑光伏电源低电压穿越故障输出特性，计算光伏电源的输出电流
Figure FDA0004159922490000015
Step 3: Calculate the grid-connected point voltage of the photovoltaic power source; consider the low voltage ride-through fault output characteristics of the photovoltaic power source and calculate the output current of the photovoltaic power source
Figure FDA0004159922490000015
 步骤4：定义迭代精度ε，取值0.0001，计算并判断
Figure FDA0004159922490000016
是否成立，若不成立用
Figure FDA0004159922490000017
更新
Figure FDA0004159922490000018
若成立则输出短路电流计算结果；Step 4: Define the iteration precision ε, take the value as 0.0001, calculate and judge
Figure FDA0004159922490000016
Is it established? If not, use
Figure FDA0004159922490000017
renew
Figure FDA0004159922490000018
If it is established, the short-circuit current calculation result is output; 所述的步骤2按照式(3)～式(7)计算系统接入光伏电源后的短路电流：The step 2 calculates the short-circuit current of the system after it is connected to the photovoltaic power source according to equations (3) to (7): (1)、光伏电源位于故障线路的相邻线路(1) The photovoltaic power source is located in the adjacent line of the fault line
Figure FDA0004159922490000019
Figure FDA0004159922490000019
 其中，
Figure FDA0004159922490000021
和
Figure FDA0004159922490000022
分别为系统接入光伏电源后故障电流的正序分量和系统接入光伏电源前三相短路电流的正序分量；
Figure FDA0004159922490000023
为光伏电源输出的故障电流，m为接入的光伏电源数目；β为故障类型系数，可按照不同类型的故障分别取值：in,
Figure FDA0004159922490000021
and
Figure FDA0004159922490000022
They are respectively the positive sequence component of the fault current after the system is connected to the photovoltaic power source and the positive sequence component of the three-phase short-circuit current before the system is connected to the photovoltaic power source;
Figure FDA0004159922490000023
is the fault current output by the photovoltaic power source, m is the number of connected photovoltaic power sources; β is the fault type coefficient, which can be set according to different types of faults:
Figure FDA0004159922490000024
Figure FDA0004159922490000024
 其中，
Figure FDA0004159922490000025
in,
Figure FDA0004159922490000025
 (2)、光伏电源位于故障线路(2) The photovoltaic power source is located on the fault line a、流过光伏电源上游线路的短路电流：a. Short-circuit current flowing through the upstream line of the photovoltaic power source:
Figure FDA0004159922490000026
Figure FDA0004159922490000026
 其中，n为故障点下游接入的光伏电源数目；Where n is the number of photovoltaic power sources connected downstream of the fault point; b、流过光伏电源中间线路的短路电流：b. Short-circuit current flowing through the middle line of the photovoltaic power source:
Figure FDA0004159922490000027
Figure FDA0004159922490000027
 其中，p为中间线路上游接入的光伏电源数目；Where p is the number of photovoltaic power sources connected upstream of the intermediate line; c、流过故障点的短路电流：c. Short-circuit current flowing through the fault point:
Figure FDA0004159922490000028
Figure FDA0004159922490000028
 2.根据权利要求1所述的一种含光伏电源配电网的短路电流快速确定方法，其特征在于，所述的步骤3按照式(8)～式(10)计算光伏电源并网点电压；考虑光伏电源低电压穿越故障输出特性，按照式(11)、(12)计算此时光伏电源的输出电流
Figure FDA0004159922490000029
具体为：2. According to the method for quickly determining the short-circuit current of a distribution network containing a photovoltaic power source according to claim 1, it is characterized in that the step 3 calculates the photovoltaic power source grid connection point voltage according to equations (8) to (10); considering the output characteristics of the photovoltaic power source under low voltage ride-through fault, the output current of the photovoltaic power source at this time is calculated according to equations (11) and (12).
Figure FDA0004159922490000029
Specifically: (1)、光伏电源位于故障线路的相邻线路(1) The photovoltaic power source is located in the adjacent line of the fault line
Figure FDA0004159922490000031
Figure FDA0004159922490000031
 其中，
Figure FDA0004159922490000032
和
Figure FDA0004159922490000033
分别为系统接入光伏电源前后并网点电压的正序分量；in,
Figure FDA0004159922490000032
and
Figure FDA0004159922490000033
They are respectively the positive sequence components of the grid connection point voltage before and after the system is connected to the photovoltaic power source; (2)、光伏电源位于故障线路(2) The photovoltaic power source is located on the fault line a、故障点上游光伏电源并网点电压：a. Voltage of the photovoltaic power grid connection point upstream of the fault point:
Figure FDA0004159922490000034
Figure FDA0004159922490000034
 b、故障点下游光伏电源并网点电压：b. Voltage of the photovoltaic power grid connection point downstream of the fault point:
Figure FDA0004159922490000035
Figure FDA0004159922490000035
 考虑光伏电源并网点电压和输出电流的耦合关系，计算其输出电流：Considering the coupling relationship between the grid-connected point voltage and output current of the photovoltaic power source, its output current is calculated:
Figure FDA0004159922490000036
Figure FDA0004159922490000036
 其中，Id和Iq分别为光伏电源输出的有功和无功电流；Imax为光伏电源的最大输出电流；UN为基准电压；
Figure FDA0004159922490000037
和
Figure FDA0004159922490000038
分别为并网点电压和光伏电源输出电流的正序分量；θ为光伏电源并网点电压相角；a为电压跌落系数，根据不同地区光伏电源的并网规定，取值为1.5～2；Where, I d and I q are respectively the active and reactive currents output by the photovoltaic power source; I max is the maximum output current of the photovoltaic power source; U N is the reference voltage;
Figure FDA0004159922490000037
and
Figure FDA0004159922490000038
are the positive sequence components of the grid connection point voltage and the photovoltaic power source output current respectively; θ is the voltage phase angle of the photovoltaic power source grid connection point; a is the voltage drop coefficient, which is 1.5 to 2 according to the grid connection regulations of photovoltaic power sources in different regions;
Figure FDA0004159922490000039
Figure FDA0004159922490000039
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