CN110768528B - Control method for smooth switching of working modes of non-reverse Buck-Boost circuit - Google Patents
Control method for smooth switching of working modes of non-reverse Buck-Boost circuit Download PDFInfo
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- CN110768528B CN110768528B CN201911103898.4A CN201911103898A CN110768528B CN 110768528 B CN110768528 B CN 110768528B CN 201911103898 A CN201911103898 A CN 201911103898A CN 110768528 B CN110768528 B CN 110768528B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M3/00—Conversion of DC power input into DC power output
- H02M3/02—Conversion of DC power input into DC power output without intermediate conversion into AC
- H02M3/04—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters
- H02M3/10—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M3/145—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M3/155—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/156—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
- H02M3/158—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators including plural semiconductor devices as final control devices for a single load
- H02M3/1582—Buck-boost converters
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Abstract
本发明公开了一种用于非反向Buck‑Boost电路工作模式平滑切换的控制方法,包括:根据输出电压指令值、输入电压测量值与电路上一控制周期模式判定电路当前应采用的工作模式;根据非反向Buck‑Boost电路的数学模型和模式切换特征所设计的,可在工作模式切换时对电感电流指令值进行补偿的自动电压调节模块;根据非反向Buck‑Boost电路的数学模型设计自动电感电流调节模块。由此,通过该控制方法可以实现NIBB电路工作模式的平滑切换。
The invention discloses a control method for smooth switching of working modes of a non-inverting Buck-Boost circuit, comprising: determining the working mode currently adopted by the circuit according to an output voltage command value, an input voltage measured value and a control period mode on the circuit ; An automatic voltage regulation module designed according to the mathematical model and mode switching characteristics of the non-inverting Buck-Boost circuit, which can compensate the inductance current command value when the operating mode is switched; According to the mathematical model of the non-inverting Buck-Boost circuit Design an automatic inductor current regulation module. Therefore, the smooth switching of the operating mode of the NIBB circuit can be realized by the control method.
Description
技术领域technical field
本发明涉及DC-DC变换器控制技术领域,特别是涉及非反向Buck-Boost变换器的模式平滑切换控制策略。The invention relates to the technical field of DC-DC converter control, in particular to a mode smooth switching control strategy of a non-inverting Buck-Boost converter.
背景技术Background technique
非反向Buck-Boost变换器(non-inverting Buck-Boost converter,NIBB)是一种既能实现升压变换,又能实现降压变换的非隔离式DC-DC变换器,近年来广泛应用于光伏发电并网系统、电动汽车充电系统、燃料电池并网系统、不间断供电系统、小功率电源、功率因数校正变换器等应用场合。相比于传统Buck-Boost变换器和变换器,非反向Buck-Boost变换器的输入输出电压极性相同,从而使得NIBB变换器辅助电源和驱动电路系统较为简单;相比于Zeta变换器、Sepic变换器,NIBB变换器所使用的电感电容等无源元件数量较少,更易于提高功率密度。此外,NIBB变换器两个桥臂的开关管的电压应力分别为输入电压和输出电压,均低于上文所提到的4种变换器。这些特点使得NIBB变换器在开关器件电应力、功率损耗、成本、无源元件体积等方面均具有优势。The non-inverting Buck-Boost converter (NIBB) is a non-isolated DC-DC converter that can realize both step-up and step-down conversion. It has been widely used in recent years. Photovoltaic power generation grid-connected system, electric vehicle charging system, fuel cell grid-connected system, uninterruptible power supply system, low-power power supply, power factor correction converter and other applications. compared to conventional Buck-Boost converters and The input and output voltages of the non-inverting Buck-Boost converter have the same polarity, which makes the auxiliary power supply and drive circuit system of the NIBB converter simpler; compared with the Zeta converter and the Sepic converter, the NIBB converter uses There are fewer passive components such as inductors and capacitors, making it easier to increase power density. In addition, the voltage stress of the switches of the two bridge arms of the NIBB converter is the input voltage and the output voltage, which are lower than the four converters mentioned above. These characteristics make NIBB converters have advantages in terms of electrical stress of switching devices, power loss, cost, and volume of passive components.
本发明的控制对象是NIBB变换器,图1所示即为NIBB电路拓扑结构示意图。设变换器输入端桥臂(下文称为Buck桥臂)的开关函数为S1,这个桥臂中开关管Q1的占空比为d1;变换器输出端桥臂(下文称为Boost桥臂)的开关函数为S2,这个桥臂中开关管Q3的占空比为d2。根据理论推导,可以得到在理想状态下,NIBB电路满足如下所示微分方程:The control object of the present invention is the NIBB converter, and FIG. 1 is a schematic diagram of the NIBB circuit topology. Suppose the switching function of the bridge arm at the input end of the converter (hereinafter referred to as the Buck bridge arm) is S 1 , and the duty cycle of the switch tube Q 1 in this bridge arm is d 1 ; the bridge arm at the output end of the converter (hereinafter referred to as the Boost bridge) The switching function of the bridge arm) is S 2 , and the duty cycle of the switch tube Q 3 in this bridge arm is d 2 . According to theoretical derivation, it can be obtained that under ideal conditions, the NIBB circuit satisfies the differential equation as shown below:
同时可以求解出NIBB电路的直流工作点为:At the same time, the DC operating point of the NIBB circuit can be solved as:
由以上各式可知,随着Buck桥臂和Boost桥臂的占空比组合不同,NIBB电路具有多种不同的运行模式,在不同的运行模式下,电路具有不同的特性。在实际应用中,考虑到效率问题,往往使得NIBB电路的直流电压增益大于1时,工作在d2≡1的模式,下文称之为Boost模式;使得NIBB电路的直流电压增益小于1时,工作在d1≡1的模式,下文称之为Buck模式。在Boost模式与Buck模式的切换点,NIBB电路中各个开关器件的占空比都将非常接近1。受最小脉宽问题的影响,电路中开关器件的占空比最小只能达到根据开关管特性所设定的最小占空比Dmin,占空比最大只能达到根据开关管特性所设定的最大占空比1-Dmin,因此在NIBB电路的直流增益非常接近1时,一般会使得NIBB电路工作在准Boost模式或准Buck模式。其中准Boost模式时,NIBB电路的直流增益大于1,d2≡1-Dmin;准Buck模式时,NIBB电路的直流增益小于1,d1≡1-Dmin。可以通过理论推导得到,当NIBB电路的直流电压增益相同、连接相同的电源和负载时,当电路处于Buck模式时,NIBB电路的电感电流平均值是其处于准Buck模式时的1-Dmin倍;类似地,当电路处于Boost模式时,NIBB电路的电感电流平均值是其处于准Buck模式时的1-Dmin倍。由于NIBB电路在上述多种工作模式之间发生切换时大多数都伴随着占空比的跳变,往往会对系统的输出电压、输出电流造成扰动,影响电路的性能。As can be seen from the above formulas, with the different combinations of duty ratios of the Buck bridge arm and the Boost bridge arm, the NIBB circuit has a variety of different operation modes, and the circuit has different characteristics in different operation modes. In practical applications, considering the efficiency problem, when the DC voltage gain of the NIBB circuit is often greater than 1, it works in the mode of d 2 ≡ 1, which is called Boost mode hereinafter; when the DC voltage gain of the NIBB circuit is less than 1, it works The mode in which d 1 ≡ 1 is hereinafter referred to as the Buck mode. At the switching point between Boost mode and Buck mode, the duty cycle of each switching device in the NIBB circuit will be very close to 1. Affected by the minimum pulse width problem, the minimum duty cycle of the switching device in the circuit can only reach the minimum duty cycle D min set according to the characteristics of the switch tube, and the maximum duty cycle can only reach the set value according to the characteristics of the switch tube. The maximum duty cycle is 1-D min , so when the DC gain of the NIBB circuit is very close to 1, the NIBB circuit will generally work in a quasi-Boost mode or a quasi-Buck mode. In the quasi-Boost mode, the DC gain of the NIBB circuit is greater than 1, d 2 ≡ 1-D min ; in the quasi-Buck mode, the DC gain of the NIBB circuit is less than 1, d 1 ≡ 1-D min . It can be obtained through theoretical derivation that when the DC voltage gain of the NIBB circuit is the same and the same power supply and load are connected, when the circuit is in Buck mode, the average value of the inductor current of the NIBB circuit is 1-D min times that in the quasi-Buck mode. ; Similarly, when the circuit is in Boost mode, the average value of the inductor current of the NIBB circuit is 1-D min times higher than when it is in quasi-Buck mode. Most of the NIBB circuits are accompanied by a duty cycle jump when switching between the above-mentioned operating modes, which often disturbs the output voltage and output current of the system and affects the performance of the circuit.
相比于传统的单模态DC-DC变换器,这种模式切换问题使得NIBB电路的控制策略变得更加复杂。因此,如何实现不同工作模式之间的平滑切换成为了NIBB电路研究领域的一个重要问题。Compared with the traditional single-mode DC-DC converter, this mode switching problem makes the control strategy of the NIBB circuit more complicated. Therefore, how to achieve smooth switching between different operating modes has become an important issue in the field of NIBB circuit research.
通常解决这一问题的控制方法是找到某个在Buck模式、Boost模式中都具有的变量,并且该变量在模式切换的时候仍然保持连续,然后使用统一的PI控制策略对该变量进行控制,从而实现模式的平滑切换。此类方法的弊端在于,NIBB电路的Buck模式和Boost模式系统结构具有很大区别,Boost模式时NIBB电路变为一个非线性系统,并且当负载具有正阻抗特性时,系统从直流电压增益到输出电压的传递函数具有一个右半平面零点,这使得Boost模式下采用PI控制时系统整体的闭环传递函数非常容易出现右半平面的极点,导致PI参数非常难以整定,很难找到一套通用的PI参数使得控制系统在Buck模式、Boost模式下都具有良好的性能。Usually, the control method to solve this problem is to find a variable in Buck mode and Boost mode, and the variable remains continuous when the mode is switched, and then use a unified PI control strategy to control the variable, so that Achieve smooth switching of modes. The disadvantage of this type of method is that the system structure of Buck mode and Boost mode of NIBB circuit is very different. In Boost mode, the NIBB circuit becomes a nonlinear system, and when the load has positive impedance characteristics, the system changes from DC voltage gain to output. The transfer function of the voltage has a right half-plane zero, which makes the closed-loop transfer function of the system as a whole very likely to have a right-half plane pole when the PI control is used in Boost mode, which makes it very difficult to tune the PI parameters, and it is difficult to find a set of general PI The parameters make the control system have good performance in Buck mode and Boost mode.
针对现有技术对非反向Buck-Boost变换器在工作模式切换时控制性能差,并且难以实现大范围控制性能良好的问题,目前尚未提出有效的解决方案。Aiming at the problems of the prior art that the non-inverting Buck-Boost converter has poor control performance when switching operating modes, and it is difficult to achieve good control performance in a wide range, no effective solution has been proposed yet.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于设计一种能够以更好的性能实现NIBB电路工作模式平滑切换的控制方法,通过选择合适的占空比组合,针对不同工作模式设计不同的控制策略,采用电感电流指令值补偿等方式,实现NIBB电路的工作模式平滑切换,并且实现大范围控制性能良好。The purpose of the present invention is to design a control method that can realize smooth switching of working modes of NIBB circuits with better performance. By selecting an appropriate duty cycle combination, different control strategies are designed for different working modes, and the inductance current command value compensation is adopted. In other ways, the smooth switching of the working mode of the NIBB circuit is realized, and the large-scale control performance is good.
本发明提供一种针对非反向Buck-Boost电路的控制方法,以解决现有技术未考虑NIBB电路的非线性特性导致的工作模式切换时控制性能差的问题,所述的控制方法包括以下几个步骤:The present invention provides a control method for a non-inverting Buck-Boost circuit to solve the problem of poor control performance when switching operating modes caused by the nonlinear characteristics of the NIBB circuit, which is not considered in the prior art. The control method includes the following: steps:
通过模式判定模块判定当前控制周期中NIBB电路所处的工作模式。模式判定模块的输入量包括NIBB电路的输入电压ui,NIBB电路的输出电压指令值uref;模式判定模块的输出量为NIBB电路的工作模式。该模块采集NIBB电路的输入电压和输出电压指令值,并根据上一控制周期中NIBB电路所处的模式,判定当前控制周期中NIBB电路应该处于的工作模式。The working mode of the NIBB circuit in the current control cycle is determined by the mode determination module. The input of the mode determination module includes the input voltage ui of the NIBB circuit and the output voltage command value u ref of the NIBB circuit; the output of the mode determination module is the working mode of the NIBB circuit. This module collects the input voltage and output voltage command value of the NIBB circuit, and determines the working mode that the NIBB circuit should be in in the current control cycle according to the mode in which the NIBB circuit was in the previous control cycle.
通过自动电压调节模块(AVR)自动调节电压输出所需的NIBB电路的电感电流指令值iLref。自动电压调节模块的输入量包括NIBB电路的输出电压uo,NIBB电路的输出电压指令值uref;自动电压调节模块的输出量为NIBB电路的电感电流指令值iLref。根据NIBB电路所满足的微分方程,可以设计出AVR在不同电路模式下的控制规律。该模块根据上述控制规律,可以在得到电路当前应该处于的模式、输出电压uo、输出电压指令值uref之后,根据所设计的控制规律表达式计算出电感电流指令值iLref。The inductor current command value i Lref of the NIBB circuit required for the voltage output is automatically adjusted by the automatic voltage regulation module (AVR). The input of the automatic voltage regulation module includes the output voltage u o of the NIBB circuit and the output voltage command value u ref of the NIBB circuit; the output of the automatic voltage regulation module is the inductor current command value i Lref of the NIBB circuit. According to the differential equation satisfied by the NIBB circuit, the control law of AVR in different circuit modes can be designed. According to the above control law, the module can calculate the inductor current command value i Lref according to the designed control law expression after obtaining the current mode, output voltage u o and output voltage command value u ref of the circuit.
通过自动电流调节模块(ACR)输出NIBB电路所需的两个占空比。自动电流调节模块的输入量包括NIBB电路的输入电压ui,NIBB电路的输出电压指令值uref,NIBB电路的电感电流指令值iLref、NIBB电路的电感电流iL;自动电流调节模块的输出量为NIBB电路的两个占空比d1和d2。根据NIBB电路所满足的微分方程,可以设计出ACR在不同电路模式下的控制规律。该模块根据上述控制规律,可以在得到电路当前应该处于的模式、输入电压ui、输出电压指令值uref、电感电流指令值iLref、电感电流iL之后,根据所设计的控制规律表达式计算出NIBB电路所需的两个占空比d1和d2,从而实现对NIBB电路的控制。The two duty cycles required by the NIBB circuit are output through the automatic current regulation block (ACR). The input quantity of the automatic current adjustment module includes the input voltage u i of the NIBB circuit, the output voltage command value u ref of the NIBB circuit, the inductor current command value i Lref of the NIBB circuit, and the inductor current i L of the NIBB circuit; the output of the automatic current adjustment module The quantities are the two duty cycles d 1 and d 2 of the NIBB circuit. According to the differential equation satisfied by the NIBB circuit, the control law of ACR in different circuit modes can be designed. According to the above control law, the module can obtain the current mode of the circuit, the input voltage ui , the output voltage command value u ref , the inductor current command value i Lref , and the inductor current i L , and then according to the designed control law expression The two duty cycles d 1 and d 2 required by the NIBB circuit are calculated, thereby realizing the control of the NIBB circuit.
本发明提出的用于NIBB电路工作模式平滑切换的控制方法,其特点和优点为:The features and advantages of the control method for smooth switching of the working mode of the NIBB circuit proposed by the present invention are:
1.本发明提出的用于NIBB电路工作模式平滑切换的控制方法的自动电压调节模块、自动电流调节模块均仅具有一个可调节的控制参数,并且该控制参数的取值具有物理意义,更易于设定并调节控制系统的参数。1. The automatic voltage regulation module and the automatic current regulation module of the control method for the smooth switching of the NIBB circuit operating mode proposed by the present invention have only one adjustable control parameter, and the value of the control parameter has physical meaning and is easier to achieve. Set and adjust the parameters of the control system.
2.本发明提出的用于NIBB电路工作模式平滑切换的控制方法是基于NIBB电路的数学模型、电路参数专门设计的,是一种非线性控制方法。与常规的基于PI调节器的线性控制方法相比,具有更好的控制性能。2. The control method for smooth switching of the working mode of the NIBB circuit proposed by the present invention is specially designed based on the mathematical model and circuit parameters of the NIBB circuit, and is a nonlinear control method. Compared with the conventional linear control method based on PI regulator, it has better control performance.
3.本发明提出的用于NIBB电路工作模式平滑切换的控制方法在NIBB电路模式切换时,在AVR模块中根据电路运行原理对电感电流指令值进行了iLref补偿。这使得电路模式切换时iLref的值也发生了切换,能够提升控制系统在模式切换时刻的动态性能,降低模式切换时NIBB电路输出电压的震荡程度。3. The control method for smooth switching of the NIBB circuit operating mode proposed by the present invention performs i Lref compensation on the inductor current command value in the AVR module according to the circuit operating principle when the NIBB circuit mode is switched. This makes the value of i Lref also switch when the circuit mode is switched, which can improve the dynamic performance of the control system at the time of mode switching, and reduce the degree of oscillation of the output voltage of the NIBB circuit when the mode is switched.
4.本发明提出的用于NIBB电路工作模式平滑切换的控制方法也可作为常规状况下NIBB电路的控制方法,在电路模式不发生切换时也具有良好的性能。4. The control method for smooth switching of the working mode of the NIBB circuit proposed by the present invention can also be used as the control method of the NIBB circuit under normal conditions, and also has good performance when the circuit mode does not switch.
附图说明Description of drawings
通过参考附图会更加清楚的理解本发明的特征和优点,附图是示意性的而不应理解为对本发明进行任何限制,在附图中:The features and advantages of the present invention will be more clearly understood by reference to the accompanying drawings, which are schematic and should not be construed as limiting the invention in any way, in which:
图1为本发明实施例的非反向Buck-Boost电路拓扑结构示意图;1 is a schematic diagram of a topology structure of a non-reverse Buck-Boost circuit according to an embodiment of the present invention;
图2为本发明实施例的用于NIBB电路工作模式平滑切换的控制方法的控制系统结构示意图;2 is a schematic structural diagram of a control system for a control method for smooth switching of operating modes of an NIBB circuit according to an embodiment of the present invention;
图3为本发明实施例的NIBB电路工作在Buck模式或准Buck模式时电感电流波形示意图;3 is a schematic diagram of an inductor current waveform when the NIBB circuit according to an embodiment of the present invention operates in a Buck mode or a quasi-Buck mode;
图4为本发明实施例的NIBB电路工作在Buck模式或准Buck模式时电感电流波形示意图;4 is a schematic diagram of an inductor current waveform when the NIBB circuit according to an embodiment of the present invention operates in a Buck mode or a quasi-Buck mode;
图5为本发明实施例的用于NIBB电路工作模式平滑切换的控制方法的模式判定模块的流程图;5 is a flowchart of a mode determination module for a control method for smooth switching of operating modes of an NIBB circuit according to an embodiment of the present invention;
图6为采用本发明用于NIBB电路工作模式平滑切换的控制方法的实验波形图;6 is an experimental waveform diagram of a control method for smooth switching of NIBB circuit operating modes according to the present invention;
图7为采用传统PI控制方法的实验波形图;Fig. 7 is the experimental waveform diagram that adopts the traditional PI control method;
具体实施方式Detailed ways
下面将结合附图对本发明的技术方案进行清楚、完整地描述,显然,所描述的实施例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 technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
如图1所示的NIBB电路的拓扑结构图,该电路拓扑结构由输入端的一组Buck桥臂和输出端的一组Boost桥臂经电感L连接而成,并且该电路在输入端和输出端各具有一个滤波电容。图2展示了本发明所提出的用于NIBB电路工作模式平滑切换的控制方法的控制系统结构图。下面以图2为例,详细说明本发明的实施例。The topology diagram of the NIBB circuit shown in Figure 1, the circuit topology consists of a group of Buck bridge arms at the input end and a group of Boost bridge arms at the output end connected by an inductor L, and the circuit is connected at the input end and the output end respectively. Has a filter capacitor. FIG. 2 shows the structure diagram of the control system of the control method for smooth switching of the working mode of the NIBB circuit proposed by the present invention. The embodiment of the present invention will be described in detail below by taking FIG. 2 as an example.
一、分析NIBB电路工作模式切换时的特征1. Analyze the characteristics of NIBB circuit operating mode switching
NIBB电路的拓扑结构示意图如图1所示。一般为了降低电路损耗,会采用双沿调制策略进行PWM生成。在这种调制方法中,Q1与Q3总是同时开通,这也意味着Q2和Q4总是同时关断。为了方便对此电路进行分析,需要建立该电路的平均模型。因为NIBB是功率双向流动的电路,因此实际上一直工作在电感电流连续模式。定义电路中Buck桥臂的开关函数为S1,Boost桥臂的开关函数为S2,可以到该电路的微分方程组如下所示:A schematic diagram of the topology of the NIBB circuit is shown in Figure 1. Generally, in order to reduce circuit loss, a dual-edge modulation strategy is used for PWM generation. In this modulation method, Q 1 and Q 3 are always turned on at the same time, which also means that Q 2 and Q 4 are always turned off at the same time. In order to facilitate the analysis of this circuit, an average model of the circuit needs to be established. Because the NIBB is a circuit in which power flows in both directions, it actually works in the inductor current continuous mode all the time. Define the switching function of the Buck bridge arm as S 1 and the switching function of the Boost bridge arm as S 2 , and the differential equations that can be obtained from the circuit are as follows:
NIBB电路的控制中,电路具有多种运行模式。本控制方法将NIBB电路分两大类工作模式,每一类具有两种工作模式,一共4种工作模式。In the control of the NIBB circuit, the circuit has multiple operating modes. The control method divides the NIBB circuit into two types of working modes, each of which has two working modes, 4 working modes in total.
1.Buck模式和准Buck模式1. Buck mode and quasi-Buck mode
在此模式下,占空比d2为恒定值。其中Buck模式时d2≡1,准Buck模式时d2≡1-Dmin。在此类工作模式下,NIBB电路的电感电流波形如图3所示,可以根据图3计算得到电感电流波形的表达式为:In this mode, the duty cycle d2 is a constant value. Among them, d 2 ≡ 1 in Buck mode, and d 2 ≡ 1-D min in quasi-Buck mode. In this type of working mode, the inductor current waveform of the NIBB circuit is shown in Figure 3, and the expression of the inductor current waveform can be calculated according to Figure 3:
其中in
其中in
可以根据公式(2)计算得到,在这一类模式下平均电感电流为It can be calculated according to formula (2), the average inductor current in this type of mode is
如果对输出侧滤波电容做理想化假设,认为流经Q3的电流的所有谐波分量都被电容Co消纳,直流分量成为输出电流Io。可以计算得到NIBB电路的平均输出电流Io为If idealized assumptions are made on the output side filter capacitor, it is considered that all harmonic components of the current flowing through Q 3 are absorbed by the capacitor C o , and the DC component becomes the output current I o . The average output current I o of the NIBB circuit can be calculated as
普通Buck模式时d2=1,Q3全导通,输出电流Io等于电感电流平均值IL。In the normal Buck mode, d 2 =1, Q 3 is fully turned on, and the output current I o is equal to the average value of the inductor current IL .
准Buck模式时,d2=1-Dmin,输出电流Io为:In the quasi-Buck mode, d2=1-D min , the output current I o is:
注意当电路处于不同模式时,即使输出电压、输出电流相同,d1也不是同一个数值。但是相同工况下(即相同负载、ui、uo)电路的平均输出电流Io一定是相同的。在变换器非轻载(即iL(t0)比较大)且ui、uo差别不大时(通常也是Buck和准Buck发生状态转换时),式(7)、式(8)的第二项取值并不是很大,可以近似的认为在Buck与准Buck发生模式切换的临界点时满足如下关系:Note that when the circuit is in different modes, even if the output voltage and output current are the same, d 1 is not the same value. But under the same operating conditions (ie the same load, ui , u o ) the average output current I o of the circuit must be the same. When the converter is not lightly loaded (that is, i L(t0) is relatively large) and the difference between u i and u o is not large (usually when Buck and quasi-Buck have state transitions), the first The value of the binomial value is not very large, and it can be approximated that the following relationship is satisfied at the critical point of mode switching between Buck and quasi-Buck:
因此当NIBB电路处在相同的工作点时,这也意味着电路具有相同的平均输出电流Io,电路在不同模式下的平均电感电流将满足如下关系式,即Buck模式下的电感平均电流是准Buck模式下的电感平均电流的1-Dmin倍。Therefore, when the NIBB circuit is at the same operating point, which also means that the circuit has the same average output current I o , the average inductor current of the circuit in different modes will satisfy the following relationship, that is, the average inductor current in Buck mode is 1-D min times the average inductor current in quasi-Buck mode.
IL,buck≈(1-Dmin)IL,quasi-buck (10)I L,buck ≈(1-D min )I L,quasi-buck (10)
2.Boost模式和准Boost模式2. Boost mode and quasi-Boost mode
在此模式下,d1为恒定值。其中Boost模式时d1≡1,准Boost模式时d1≡1-Dmin。在此类工作模式下,NIBB电路的电感电流波形如图4所示,可以根据图3计算得到电感电流波形的表达式为:In this mode, d 1 is a constant value. Among them,
其中in
平均电感电流为The average inductor current is
对输出侧滤波电容做理想化假设,认为流经Q3的电流的所有谐波分量都被电容Co消纳,直流分量成为输出电流Io。无论是普通Boost模式还是准Boost模式,Q3均处于非全时导通状态,因此可以计算得到平均输出电流Io为:The ideal assumption is made on the output side filter capacitor, and it is considered that all harmonic components of the current flowing through Q 3 are absorbed by the capacitor C o , and the DC component becomes the output current I o . Whether it is normal Boost mode or quasi-Boost mode, Q 3 is in a non-full-time conduction state, so the average output current I o can be calculated as:
注意当电路处于不同模式时,即使输出电压、输出电流相同,d1也不是同一个数值。但是相同工况下(即相同负载、ui、uo)电路的平均输出电流Io一定是相同的。在变换器非轻载(即iL(t0)比较大)且ui、uo差别不大时(通常也是Boost模式和准Boost模式发生状态转换时),式(14)、式(15)的第二项取值并不是很大,可以近似的认为在Boost与准Boost发生模式切换的临界点处满足如下关系Note that when the circuit is in different modes, even if the output voltage and output current are the same, d 1 is not the same value. But under the same operating conditions (ie the same load, ui , u o ) the average output current I o of the circuit must be the same. When the converter is not lightly loaded (i.e. i L(t0) is relatively large) and the difference between u i and u o is not large (usually also when the state transition occurs in the Boost mode and the quasi-Boost mode), equations (14) and (15) The value of the second term is not very large, and it can be approximated that the following relationship is satisfied at the critical point where the mode switching between Boost and quasi-Boost occurs
而对于相同的工况,在Boost模式与准Boost模式切换的临界点,两个占空比之间满足如下关系For the same operating conditions, at the critical point of switching between Boost mode and quasi-Boost mode, the following relationship is satisfied between the two duty cycles
d2,quasi-boost≈(1-Dmin)d2,boost (18)d 2,quasi-boost ≈(1-D min )d 2,boost (18)
因此当NIBB电路处在相同的工作点时,这也意味着电路具有相同的平均输出电流Io,电路在不同模式下的平均电感电流将满足如下关系式,即Boost模式下的电感平均电流是准Boost模式下的电感平均电流的1-Dmin倍。Therefore, when the NIBB circuit is at the same operating point, which also means that the circuit has the same average output current I o , the average inductor current of the circuit in different modes will satisfy the following relationship, that is, the average inductor current in Boost mode is 1-D min times the average inductor current in quasi-Boost mode.
IL,boost≈(1-Dmin)IL,quasi-boost (19)I L,boost ≈(1-D min )I L,quasi-boost (19)
二、控制系统设计2. Design of control system
1.模式判定模块1. Mode determination module
模式判定模块的输入量包括NIBB电路的输入电压ui,NIBB电路的输出电压指令值uref;模式判定模块的输出量为NIBB电路的工作模式mode。模式判定模块将按照如图5所示的流程进行判定。The input of the mode determination module includes the input voltage ui of the NIBB circuit and the output voltage command value u ref of the NIBB circuit; the output of the mode determination module is the working mode mode of the NIBB circuit. The mode determination module will determine according to the process shown in Figure 5.
2.自动电压调节模块(AVR)2. Automatic Voltage Regulation Module (AVR)
自动电压调节模块的输入量包括NIBB电路的输出电压uo,NIBB电路的输出电压指令值uref;自动电压调节模块的输出量为NIBB电路的电感电流指令值iLref。用带序号n的变量表示当前控制周期中的变量,用带序号n-1的变量表示上一个控制周期中的变量。根据式(1)所描述的NIBB电路的微分方程,可以设计出自动电压调节模块的控制规律为:The input of the automatic voltage regulation module includes the output voltage u o of the NIBB circuit and the output voltage command value u ref of the NIBB circuit; the output of the automatic voltage regulation module is the inductor current command value i Lref of the NIBB circuit. The variable with serial number n is used to represent the variable in the current control cycle, and the variable with serial number n-1 is used to represent the variable in the previous control cycle. According to the differential equation of the NIBB circuit described by equation (1), the control law of the automatic voltage regulation module can be designed as:
(1)当目前控制周期是系统运行的第一个周期时,电感电流指令值iLref按照如下表达式计算。其中io为NIBB电路的输出电流,iLref-raw为一个不参与输入输出,仅仅用于方便控制系统进行计算的中间变量。(1) When the current control cycle is the first cycle of system operation, the inductor current command value i Lref is calculated according to the following expression. Among them, i o is the output current of the NIBB circuit, and i Lref-raw is an intermediate variable that does not participate in the input and output and is only used to facilitate the calculation of the control system.
(2)当目前控制周期不是系统运行的第一个周期,并且NIBB电路处在Buck模式或Boost模式,电感电流指令值按照如下表达式计算。其中Co为NIBB电路输出端电容的取值,Tc为该控制方法所采用的控制周期,λ1为该控制方法在AVR中所用的控制参数,该参数可以根据实际需要在大于0的范围内进行调节,从而调节控制性能。(2) When the current control cycle is not the first cycle of system operation, and the NIBB circuit is in Buck mode or Boost mode, the inductor current command value is calculated according to the following expression. where C o is the value of the capacitance at the output end of the NIBB circuit, T c is the control period used by the control method, λ 1 is the control parameter used in the AVR by the control method, and this parameter can be in the range greater than 0 according to actual needs to adjust the control performance.
(3)当目前控制周期不是系统运行的第一个周期,并且NIBB电路处在准Buck模式或准Boost模式,电感电流指令值按照如下表达式计算。其中Co为NIBB电路输出端电容的取值,Tc为该控制方法所采用的控制周期,λ1为该控制方法在AVR中所用的控制参数,该参数可以根据实际需要在大于0的范围内进行调节,从而调节控制性能。(3) When the current control cycle is not the first cycle of system operation, and the NIBB circuit is in a quasi-Buck mode or a quasi-Boost mode, the inductor current command value is calculated according to the following expression. where C o is the value of the capacitance at the output end of the NIBB circuit, T c is the control period used by the control method, λ 1 is the control parameter used in the AVR by the control method, and this parameter can be in the range greater than 0 according to actual needs to adjust the control performance.
3.自动电流调节模块(ACR)3. Automatic current regulation module (ACR)
自动电流调节模块的输入量包括NIBB电路的输入电压ui,NIBB电路的输出电压指令值uref,NIBB电路的电感电流指令值iLref,NIBB电路的电感电流iL;自动电流调节模块的输出量为NIBB电路的两个占空比d1和d2。根据式(1)所描述的NIBB电路的微分方程,可以设计出自动电流调节模块的控制规律如下所示。其中λ2为该控制方法在ACR中所用的控制参数,该参数可以根据实际需要在大于0的范围内进行调节,从而调节控制性能。The input quantity of the automatic current adjustment module includes the input voltage u i of the NIBB circuit, the output voltage command value u ref of the NIBB circuit, the inductor current command value i Lref of the NIBB circuit, and the inductor current i L of the NIBB circuit; the output of the automatic current adjustment module The quantities are the two duty cycles d 1 and d 2 of the NIBB circuit. According to the differential equation of the NIBB circuit described by the formula (1), the control law of the automatic current regulation module can be designed as follows. Among them, λ 2 is the control parameter used in the ACR by the control method, and the parameter can be adjusted within a range greater than 0 according to actual needs, so as to adjust the control performance.
(1)当模式判定模块判定当前电路处于Buck模式,占空比按照如下表达式进行计算(1) When the mode determination module determines that the current circuit is in Buck mode, the duty cycle is calculated according to the following expression
(2)当模式判定模块判定当前电路处于准Buck模式,占空比按照如下表达式进行计算(2) When the mode determination module determines that the current circuit is in the quasi-Buck mode, the duty cycle is calculated according to the following expression
(3)当模式判定模块判定当前电路处于Boost模式,占空比按照如下表达式进行计算(3) When the mode determination module determines that the current circuit is in Boost mode, the duty cycle is calculated according to the following expression
(4)当模式判定模块判定当前电路处于准Boost模式,占空比按照如下表达式进行计算(4) When the mode determination module determines that the current circuit is in the quasi-Boost mode, the duty cycle is calculated according to the following expression
通过上述三个模块,即可实现本发明所提出的用于NIBB电路工作模式平滑切换的控制方法。图6给出了将本发明所提出的方法用于10kW、20kHz的双相NIBB电路实验平台的实验波形。在实验中设置了一个情景:令NIBB电路的输入电压Ui保持350V不变,设定NIBB电路的初始输出电压Uo为400V。在0.5s之内令输出电压Uo从400V线性下降至270V,再在0.5s内令输出电压Uo从270V线性上升到400V。图7给出了将传统PI控制方法用于同一套实验平台时的实验波形。Through the above three modules, the control method for smooth switching of the working mode of the NIBB circuit proposed by the present invention can be realized. FIG. 6 shows the experimental waveforms of applying the method proposed by the present invention to a 10kW, 20kHz two-phase NIBB circuit experimental platform. A scenario is set up in the experiment: keep the input voltage U i of the NIBB circuit unchanged at 350V, and set the initial output voltage U o of the NIBB circuit to be 400V. The output voltage U o is linearly decreased from 400V to 270V within 0.5s, and the output voltage U o is linearly increased from 270V to 400V within 0.5s. Figure 7 shows the experimental waveforms when the traditional PI control method is used on the same experimental platform.
可以从图6的实验结果中观察到,当NIBB电路的工作模式发生切换时,使用本发明所用的控制方法比使用传统PI控制方法所造成的电路输出电压震荡更小,震荡时间更短,控制性能更好。It can be observed from the experimental results in FIG. 6 that when the working mode of the NIBB circuit is switched, the circuit output voltage oscillation caused by the control method used in the present invention is smaller than that caused by the traditional PI control method, the oscillation time is shorter, and the control Better performance.
虽然结合附图描述了本发明的实施方式,但是本领域技术人员可以在不脱离本发明的精神和范围的情况下做出各种修改和变型,这样的修改和变型均落入由所附权利要求所限定的范围之内。Although the embodiments of the present invention have been described with reference to the accompanying drawings, various modifications and variations can be made by those skilled in the art without departing from the spirit and scope of the present invention, and such modifications and variations all fall within the scope of the appended claims within the limits of the requirements.
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