CN113363961B - Current sharing and bus voltage recovery control method for direct-current micro-grid distributed power supply - Google Patents
Current sharing and bus voltage recovery control method for direct-current micro-grid distributed power supply Download PDFInfo
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Abstract
本发明公开了一种直流微网分布式电源均流及其母线电压恢复控制方法,本发明采用分布式稀疏通信手段进行分布式电源间两两通信,系统可靠性较高,且仅需传输分布式电源的输出电流信息,即可测量出各分布式电源输出端至直流母线间的线路阻抗,通过补偿相应下垂系数使得各分布式电源总输出阻抗相等,进而实现均流的目的,电流均分精度较高。本发明不仅能补偿因下垂系数造成的母线电压跌落,同时还补偿了由线路阻抗压降造成的母线电压跌落,母线电压补偿精度较高。本发明采用的线路阻抗测量方法不受线路阻抗自身大小的影响,同时也不受直流微网系统负载性质的影响,测量误差较小。
The invention discloses a DC micro-grid distributed power supply current equalization method and its bus voltage recovery control method. The invention adopts distributed sparse communication means to carry out two-to-two communication between distributed power supplies. The system has high reliability and only needs to transmit distributed The output current information of the distributed power supply can be used to measure the line impedance between the output terminals of each distributed power supply and the DC bus. Higher precision. The invention can not only compensate the voltage drop of the busbar caused by the droop coefficient, but also compensate the voltage drop of the busbar caused by the voltage drop of the line impedance, and the compensation precision of the busbar voltage is high. The line impedance measurement method adopted in the present invention is not affected by the size of the line impedance itself, and is also not affected by the load properties of the DC micro-grid system, and the measurement error is relatively small.
Description
技术领域technical field
本发明属于分布式直流微网协调控制研究领域,具体涉及一种直流微网分布式电源均流及其母线电压恢复控制方法。The invention belongs to the research field of distributed direct current microgrid coordinated control, and in particular relates to a DC microgrid distributed power supply current equalization method and a bus voltage restoration control method thereof.
背景技术Background technique
直流微网的运行控制目标主要包括设备级控制及系统级控制,设备级控制主要为物理层设备基于本地信息完成自身的一些基本控制目标,系统级控制则是对系统进行集中管理和能量优化,以提升整体运行效率和可靠性。从系统最优运行角度看,如何实现系统中各分布式电源输出功率/能量合理分配是直流微电网系统级控制中的关键目标之一。The operation control objectives of the DC microgrid mainly include equipment-level control and system-level control. The equipment-level control is mainly for the physical layer equipment to complete some of its basic control objectives based on local information, and the system-level control is for centralized management and energy optimization of the system. To improve the overall operating efficiency and reliability. From the perspective of system optimal operation, how to realize the reasonable distribution of output power/energy of each distributed power source in the system is one of the key objectives in the system-level control of DC microgrid.
为了解决直流微网中分布式电源输出功率合理分配的问题,学者们提出了并联均流控制技术,这是因为分布式电源并联运行时,由于其控制参数的差异,且各系统的输出属电压源性质,微小的偏差都会导致输出电流的很大差别。因此在稳定输出电压的同时,要求各分布式电源可以分担相同的电流,输出功率一致。在目前现有均流控制手段中,以下垂控制为主的分散式控制手段成为了学者们研究的重点。下垂控制无需中心控制器,所有变换器都是平行、对等的关系。下垂法又叫做自适应电压调整法,在负载电流增大时通过改变下垂系数来减小输出电压,从而调整输出电流的大小。该方法控制简单,冗余性好,是最简单的多源协调控制策略。In order to solve the problem of reasonable distribution of distributed power output power in DC micro-grid, scholars have proposed parallel current sharing control technology, because when distributed power is running in parallel, due to the difference in control parameters, and the output of each system is a voltage Due to the nature of the source, a small deviation will cause a large difference in the output current. Therefore, while stabilizing the output voltage, it is required that each distributed power supply can share the same current and have consistent output power. Among the existing current sharing control methods, the decentralized control method based on droop control has become the focus of scholars' research. Droop control does not require a central controller, and all converters are in a parallel and equal relationship. The droop method is also called the adaptive voltage adjustment method. When the load current increases, the output voltage is reduced by changing the droop coefficient, thereby adjusting the output current. This method has simple control and good redundancy, and is the simplest multi-source coordinated control strategy.
然而,下垂控制方法仍然存在一些问题:首先,该方法是在忽略分布式电源输出端至直流微网母线之间的线路阻抗条件下提出的,然而对于实际的微电网系统,线路阻抗值不能忽略,线路阻抗的存在降低了分布式电源间的均流精度,且当负载越重时,均流精度越低。其次,下垂控制的实现将导致一定程度上的母线电压跌落,这将对直流微网系统的电能质量造成直接的影响。最后,在使用下垂控制时电流均分精度与母线电压的跌落问题是无法兼顾的——通过设置较小的下垂系数可以获得较低的母线电压跌落,然而电流均分精度较低,而设置较大的下垂系数可以提高电流均分精度,却会导致直流母线电压跌落较大。因此,在保证高的电流均分精度同时保证母线电压的稳定,是直流微网分布式电源均流控制技术亟需解决的问题。However, there are still some problems in the droop control method: First, this method is proposed under the condition of ignoring the line impedance between the distributed power output terminal and the DC microgrid bus, but for the actual microgrid system, the line impedance value cannot be ignored , the existence of line impedance reduces the accuracy of current sharing between distributed power sources, and when the load is heavier, the accuracy of current sharing is lower. Secondly, the realization of droop control will lead to a certain degree of bus voltage drop, which will have a direct impact on the power quality of the DC microgrid system. Finally, when droop control is used, the accuracy of current sharing and the drop of bus voltage cannot be taken into account—by setting a smaller droop coefficient, a lower drop of bus voltage can be obtained, but the accuracy of current sharing is low, and the setting is relatively low. A large droop coefficient can improve the accuracy of current sharing, but it will cause a large drop in the DC bus voltage. Therefore, it is an urgent problem to be solved in the DC microgrid distributed power supply current sharing control technology to ensure high current sharing accuracy while ensuring the stability of the bus voltage.
发明内容Contents of the invention
本发明的目的在于克服上述不足,提供一种直流微网分布式电源均流及其母线电压恢复控制方法,在下垂控制的基础上,引入稀疏通信手段,通过测量线路阻抗进而进行电流均分及母线电压精确补偿。该方法仅需传输电流信息,即可大大提高分布式电源间的均流精度,同时精确补偿由下垂系数及线路阻抗引起的母线电压跌落,从而解决了传统下垂控制方法存在的固有问题。The purpose of the present invention is to overcome the above-mentioned deficiencies, and provide a DC micro-grid distributed power supply current sharing method and its bus voltage recovery control method. On the basis of droop control, sparse communication means are introduced, and current sharing and monitoring are performed by measuring line impedance. Bus voltage accurate compensation. This method only needs to transmit current information, which can greatly improve the accuracy of current sharing among distributed power sources, and at the same time accurately compensate the bus voltage drop caused by droop coefficient and line impedance, thus solving the inherent problems of traditional droop control methods.
为了达到上述目的,包括以下步骤:In order to achieve the above purpose, the following steps are included:
S1,直流微网分布式电源本地采用下垂控制策略,对本地输出电流信息进行采样;S1, the DC micro-grid distributed power supply locally adopts the droop control strategy to sample the local output current information;
S2,直流微网分布式电源中的每台分布式电源与相邻分布式电源进行通信,向相邻分布式电源发送本地输出电流信息;S2, each distributed power supply in the DC micro-grid distributed power supply communicates with the adjacent distributed power supply, and sends local output current information to the adjacent distributed power supply;
S3,每台分布式电源获得相邻分布式电源输出电流信息后,计算出本地输出电流与相邻分布式电源输出电流比值;S3, after each distributed power source obtains the output current information of the adjacent distributed power source, calculate the ratio of the local output current to the output current of the adjacent distributed power source;
S4,根据本地输出电流与相邻分布式电源输出电流比值,调整直流微网分布式电源下垂控制系数,重复步骤S1~S3,每台分布式电源获取下垂控制系数改变后的本地输出电流与相邻分布式电源输出电流比值;S4. Adjust the droop control coefficient of the DC microgrid distributed power supply according to the ratio of the local output current to the output current of the adjacent distributed power supply. The output current ratio of the adjacent distributed power supply;
S5,每台分布式电源本地控制器利用下垂控制系数改变前后的本地输出电流与相邻分布式电源输出电流比值,计算出本地输出端至直流母线间的线路阻抗;S5, the local controller of each distributed power supply uses the ratio of the local output current before and after the change of the droop control coefficient to the output current of the adjacent distributed power supply to calculate the line impedance between the local output terminal and the DC bus;
S6,设置各分布式电源的相应下垂系数,使得每台分布式电源总等效输出阻抗相等;S6, setting the corresponding droop coefficients of each distributed power supply, so that the total equivalent output impedance of each distributed power supply is equal;
S7,获得直流微网全部分布式电源输出电流平均值;S7, obtaining the average value of the output current of all distributed power supplies in the DC microgrid;
S8,每台分布式电源本地控制器将输出电流平均值与总等效输出阻抗的乘积作为电压参考值的补偿量,送入下垂控制的电压控制环中。S8, the local controller of each distributed power supply uses the product of the average value of the output current and the total equivalent output impedance as the compensation amount of the voltage reference value, and sends it to the voltage control loop of the droop control.
S3中,本地输出电流与相邻分布式电源输出电流比值通过本地控制器计算。In S3, the ratio of the local output current to the output current of the adjacent distributed power is calculated by the local controller.
S5中,本地输出端至直流母线间线路阻抗的测量方法如下:In S5, the measurement method of the line impedance between the local output terminal and the DC bus is as follows:
其中,Rli为分布式电源i至直流母线间的线路阻抗值,k为S4中下垂系数的增加量,Rd为S1中每台分布式电源的初始下垂系数,x1,x2分别为下垂系数改变前后分布式电源i输出电流与相邻分布式电源输出电流的比值。Among them, R li is the line impedance value between the distributed power supply i and the DC bus, k is the increase of the droop coefficient in S4, R d is the initial droop coefficient of each distributed power supply in S1, x 1 and x 2 are respectively The droop coefficient is the ratio of the output current of distributed power source i to the output current of adjacent distributed power sources before and after the change.
S6中,各分布式电源所设置的下垂系数应使:In S6, the droop coefficient set for each distributed power supply should be:
Rdi+Rli=Rdj+Rlj=…=Rdn+Rln=RR di +R li =R dj +R lj =...=R dn +R ln =R
其中,Rdi Rdj,…,Rdn分别为直流微网分布式电源i,j,…,n的所设下垂系数,Rli,Rlj,…,Rln分别为直流微网分布式电源i,j,…,n输出端至直流母线间的线路阻抗,R为每台分布式电源总等效输出阻抗。Among them, R di R dj ,…,R dn are the set droop coefficients of the DC microgrid distributed power supply i,j,…,n respectively, R li ,R lj ,…,R ln are the DC microgrid distributed power supply The line impedance between the i,j,...,n output terminal and the DC bus, R is the total equivalent output impedance of each distributed power supply.
S7中,采用基于一致性算法的电流观测器动态表达式,获得直流微网全部分布式电源输出电流平均值。In S7, the dynamic expression of the current observer based on the consensus algorithm is used to obtain the average value of the output current of all distributed power sources in the DC microgrid.
S7中,基于一致性算法的电流观测器动态表达式计算方法如下:In S7, the calculation method of the dynamic expression of the current observer based on the consensus algorithm is as follows:
其中,ioi为第i台分布式电源的输出电流值,iavgi,iavgj分别为第i,j台分布式电源利用本地电流观测器获得的全系统分布式电源输出电流平均值,aij为通信网络拓扑中通信权重因子,当分布式电源i与分布式电源j存在通信关联时,aij=1,否则,aij=0。Among them, i oi is the output current value of the i-th distributed power supply, i avgi and i avgj are the average value of the distributed power output current of the whole system obtained by the i-th and j-th distributed power supply using the local current observer, a ij is the communication weight factor in the communication network topology, when there is a communication association between distributed power source i and distributed power source j, a ij =1, otherwise, a ij =0.
获得直流微网全部分布式电源输出电流平均值采用本地控制器计算。Obtaining the average output current of all distributed power sources in the DC microgrid is calculated by the local controller.
S8中,下垂控制中电压环电压参考值计算方法如下:In S8, the calculation method of the voltage reference value of the voltage loop in droop control is as follows:
Urefi=(U*-Rdiioi)+Riavgi U refi =(U * -R di i oi )+Ri avgi
其中,U*,Urefi分别为电压补偿前后分布式电源i的电压参考值,Riavgi为分布式电源i的电压补偿量。Among them, U * , U refi are the voltage reference value of distributed power supply i before and after voltage compensation respectively, and Ri avgi is the voltage compensation amount of distributed power supply i.
与现有技术相比,本发明采用分布式稀疏通信手段进行分布式电源间两两通信,系统可靠性较高,且仅需传输分布式电源的输出电流信息,即可测量出各分布式电源输出端至直流母线间的线路阻抗,通过补偿相应下垂系数使得各分布式电源总输出阻抗相等,进而实现均流的目的,电流均分精度较高。本发明不仅能补偿因下垂系数造成的母线电压跌落,同时还补偿了由线路阻抗压降造成的母线电压跌落,母线电压补偿精度较高。本发明采用的线路阻抗测量方法不受线路阻抗自身大小的影响,同时也不受直流微网系统负载性质的影响,测量误差较小,解决了传统下垂控制法中存在的电流均分精度受线路阻抗影响及母线电压跌落的问题。Compared with the prior art, the present invention uses distributed sparse communication means to communicate between distributed power sources. The system reliability is high, and only the output current information of distributed power sources needs to be transmitted to measure the output current of each distributed power source. The line impedance between the output terminal and the DC bus is equal to the total output impedance of each distributed power supply by compensating the corresponding droop coefficient, so as to achieve the purpose of current sharing, and the accuracy of current sharing is high. The invention can not only compensate the voltage drop of the busbar caused by the droop coefficient, but also compensate the voltage drop of the busbar caused by the voltage drop of the line impedance, and the compensation precision of the busbar voltage is high. The line impedance measurement method adopted in the present invention is not affected by the size of the line impedance itself, nor is it affected by the load properties of the DC micro-grid system, and the measurement error is small, which solves the problem that the current sharing accuracy in the traditional droop control method is affected by the line. Impedance effects and bus voltage drop problems.
附图说明Description of drawings
图1为直流微网分布式电源功率均分所采取的下垂控制法;Figure 1 shows the droop control method adopted for the power sharing of DC microgrid distributed power supply;
图2为两台分布式电源下垂控制等效电路图;Figure 2 is an equivalent circuit diagram of two distributed power supply droop control;
图3为直流微网分布式电源的通信拓扑图;Figure 3 is a communication topology diagram of a DC microgrid distributed power supply;
图4为两台分布式电源并联运行控制示意图;Figure 4 is a schematic diagram of the parallel operation control of two distributed power supplies;
图5为直流微网分布式电源均流及其母线电压恢复控制框图;Figure 5 is a block diagram of DC micro-grid distributed power supply current sharing and bus voltage recovery control;
图6为采用发明策略控制时直流母线电压仿真波形图;Fig. 6 is a simulation waveform diagram of the DC bus voltage when the strategy control of the invention is adopted;
图7为采用发明策略控制时直流母线电压仿真波形图(变载前);Fig. 7 is a simulation waveform diagram of the DC bus voltage (before load change) when the strategy control of the invention is adopted;
图8为采用发明策略控制时直流母线电压仿真波形图(变载后);Fig. 8 is a simulation waveform diagram of the DC bus voltage (after load changing) when the inventive strategy control is adopted;
图9为采用发明策略控制时分布式电源输出电流仿真波形图;Fig. 9 is a simulation waveform diagram of the output current of the distributed power supply when the strategy control of the invention is adopted;
图10为采用发明策略控制时分布式电源输出电流仿真波形图(变载前);Figure 10 is a simulation waveform diagram of the output current of the distributed power supply (before load change) when the strategy control of the invention is adopted;
图11为采用发明策略控制时分布式电源输出电流仿真波形图(变载后);Figure 11 is a simulation waveform diagram of the output current of the distributed power supply (after load change) when the strategy control of the invention is adopted;
图12为仅采取下垂控制时直流母线电压波形图;Figure 12 is a waveform diagram of the DC bus voltage when only droop control is adopted;
图13仅采取下垂控制时分布式电源输出电流波形图。Fig. 13 is the output current waveform diagram of the distributed power supply when only the droop control is adopted.
具体实施方式Detailed ways
下面结合附图对本发明做进一步说明。The present invention will be further described below in conjunction with the accompanying drawings.
传统下垂控制法如图1所示,可以看出,在分布式电源的电压环控制中,通过调整下垂系数Rd的大小可以调整分布式电源输出电压指令Uref的大小,进而调整输出电压Uo大小,从而调整分布式电源输出电流io的大小,以达到控制分布式电源输出功率的目的。The traditional droop control method is shown in Figure 1. It can be seen that in the voltage loop control of the distributed power supply, the output voltage command U ref of the distributed power supply can be adjusted by adjusting the droop coefficient Rd , and then the output voltage U ref can be adjusted. o , so as to adjust the output current i o of the distributed power supply to achieve the purpose of controlling the output power of the distributed power supply.
图2为两台分布式电源i,j并联运行采用下垂控制时的等效电路,其中U*为分布式电源输出电压给定值,Ubus为直流母线电压值,Uoi,Uoj分别为分布式电源i,j实际输出电压值,ioi,ioj分别为分布式电源i,j输出电流值。Rd为分布式电源输出端的虚拟电阻,即所设下垂系数,Rli,Rlj分别为分布式电源输出端至直流母线间的线路阻抗,RL为直流微网系统等效负载电阻。根据基尔霍夫等效电流电压定律可得:Figure 2 is the equivalent circuit of two distributed power sources i and j running in parallel and adopting droop control, where U * is the given value of the distributed power output voltage, U bus is the DC bus voltage value, U oi and U oj are respectively The actual output voltage values of distributed power sources i and j, i oi and i oj are the output current values of distributed power sources i and j respectively. R d is the virtual resistance of the output terminal of the distributed power supply, that is, the set droop coefficient, R li and R lj are the line impedance between the output terminal of the distributed power supply and the DC bus, and R L is the equivalent load resistance of the DC microgrid system. According to Kirchhoff's equivalent current-voltage law:
Uoi=U*-Rdioi,Uoj=U*-Rdioj (1)U oi =U * -R d i oi ,U oj =U * -R d i oj (1)
Ubus=Uoi-Rliioi=Uoj-Rljioj (2)U bus =U oi -R li i oi =U oj -R lj i oj (2)
式(1)(2)联立求解可得:Formula (1) (2) can be solved simultaneously:
其中,Ri、Rj分别为分布式电源i,j的等效总输出阻抗,由式(3)可看出,由于线路阻抗的存在,各分布式电源的输出电流并不能按给定的下垂系数成比例分配,同时,由(1)(2)式可看出,下垂系数与线路阻抗的存在导致了母线电压的下降。Among them, R i and R j are the equivalent total output impedances of distributed power sources i and j respectively. It can be seen from formula (3) that due to the existence of line impedance, the output current of each distributed power source cannot follow the given The droop coefficient is distributed proportionally. At the same time, it can be seen from (1) (2) that the existence of the droop coefficient and the line impedance leads to the drop of the bus voltage.
为了解决下垂控制存在的问题,本发明引入了一种直流微网分布式电源均流及其母线电压恢复控制方法,图3展示了采用该策略控制时直流微网分布式电源的通信拓扑。可以看出,该控制采用了分布式电源间两两通信的手段,每台分布式电源仅与相邻分布式电源进行通信,各分布式电源本地控制器采用一致性算法,通过获得本地测量信息及邻居节点测量信息即可计算出全系统测量信息平均值。基于一致性算法的电流观测器动态表达式如下式所示:In order to solve the problem of droop control, the present invention introduces a DC micro-grid distributed power supply current sharing and bus voltage restoration control method. Figure 3 shows the communication topology of the DC micro-grid distributed power supply when this strategy is used. It can be seen that the control adopts the method of two-to-two communication between distributed power sources. Each distributed power source only communicates with adjacent distributed power sources. The local controllers of each distributed And the measurement information of neighboring nodes can calculate the average value of the measurement information of the whole system. The dynamic expression of the current observer based on the consensus algorithm is as follows:
式中,ioi为第i台分布式电源的输出电流信息,iavgi,iavgj分别为第i,j台分布式电源利用本地电流观测器获得的全系统分布式电源输出电流平均值。aij为通信网络拓扑中通信权重因子,当分布式电源i与分布式电源j存在通信关联时,aij>0,取aij=1,否则,aij=0。可以证明,只要通信网络拓扑中包含一条有向生成树,那么当t→∞时,有且收敛于ioi的算术平均值,即:In the formula, i oi is the output current information of the i-th distributed power supply, and i avgi and i avgj are the average value of the system-wide distributed power output current obtained by the i-th and j-th distributed power supply using the local current observer. a ij is the communication weight factor in the communication network topology. When distributed power source i and distributed power source j have a communication relationship, a ij >0, set a ij =1, otherwise, a ij =0. It can be proved that as long as the communication network topology contains a directed spanning tree, then when t→∞, there is And converge to the arithmetic mean of i oi , namely:
可以看出,采用一致性算法进行控制时,当任意两台分布式电源发生通信故障,或某台分布式电源因故障退出运行时,仍能保证通信网络中有一簇有向生成树。因此,该控制手段可靠性高,不存在某台分布式电源或某条通信线路因故障而导致整个系统无法正常运行的问题,同时,各分布式电源具有相同优先权,满足直流微网对分布式电源即插即用的需求。It can be seen that when the consensus algorithm is used for control, when any two distributed power sources have communication failures, or a distributed power source exits due to failure, a cluster of directed spanning trees in the communication network can still be guaranteed. Therefore, this control method has high reliability, and there is no problem that the entire system cannot operate normally due to a failure of a certain distributed power supply or a certain communication line. plug-and-play requirements.
有研究通过利用一致性算法的动态表达式在各分布式电源的本地控制器中求出所有分布式电源的输出电压、电流平均值,分别与指令电压及本地输出电流信息进行比较,进而修正分布式电源当前的输出电压、电流值,使得均流精度得以提升,同时补偿了由下垂系数造成的直流母线电压跌落。然而,当前研究均未考虑由线路阻抗引起的电压降对母线电压跌落造成的影响,而在低压直流微网或线路阻抗较大的直流微网系统中,线路阻抗压降引起的母线电压跌落是不能忽略的。因此,本发明提出了一种线路阻抗测量方法,在获得各分布式电源线路阻抗信息后分别设定相应的下垂系数,使得各分布式电源总等效输出阻抗相等,进而达到均流的目的。同时,各分布式电源本地控制器利用基于一致性算法的电流观测器获取各分布式电源输出电流平均值,将该值与总等效输出阻抗的乘积作为本地电压补偿量,进而补偿了由下垂系数及线路阻抗造成的直流母线电压跌落,达到了对母线电压进行精确补偿的目的。该方法具体原理如下:Some studies have used the dynamic expression of the consensus algorithm to find the average value of the output voltage and current of all distributed power sources in the local controllers of each distributed power source, and compared them with the command voltage and local output current information, and then corrected the distribution. The current output voltage and current values of the conventional power supply improve the accuracy of the current sharing, and at the same time compensate the DC bus voltage drop caused by the droop coefficient. However, the current research does not consider the impact of the voltage drop caused by the line impedance on the bus voltage drop, and in the low-voltage DC microgrid or the DC microgrid system with large line impedance, the bus voltage drop caused by the line impedance voltage drop is cannot be ignored. Therefore, the present invention proposes a line impedance measurement method. After obtaining the line impedance information of each distributed power supply, the corresponding droop coefficients are set respectively, so that the total equivalent output impedance of each distributed power supply is equal, and then the purpose of current sharing is achieved. At the same time, the local controllers of each distributed power source use the current observer based on the consensus algorithm to obtain the average value of the output current of each distributed power source, and the product of this value and the total equivalent output impedance is used as the local voltage compensation amount, thereby compensating The DC bus voltage drop caused by coefficient and line impedance achieves the purpose of accurately compensating the bus voltage. The specific principle of this method is as follows:
以两台分布式电源i,j为例,对线路阻抗进行测量,本地采用下垂控制:Take two distributed power sources i and j as an example, measure the line impedance, and use droop control locally:
Ubus=U*-Riioi=U*-Rjioj (7)U bus =U * -R i i oi =U * -R j i oj (7)
Ri=Rd+Rli,Rj=Rd+Rlj (8)R i =R d +R li , R j =R d +R lj (8)
其中,U*为分布式电源i,j的指令电压参考值。Ubus为直流母线电压值,Urefi,Urefj分别分布式电源i,j实际输出电压参考值,ioi,ioj分别为分布式电源i,j输出电流值,Rd为分布式电源下垂系数,Rli,Rlj分别为分布式电源i,j的输出端至直流母线间的线路阻抗,Ri,Rj分别为分布式电源i,j总等效输出阻抗。由(7)式易得:Wherein, U * is the command voltage reference value of the distributed power supply i, j. U bus is the DC bus voltage value, U refi and U refj are the actual output voltage reference values of distributed power supply i and j respectively, i oi and i oj are the output current values of distributed power supply i and j respectively, and R d is the droop of distributed power supply Coefficients, R li , R lj are the line impedance between the output terminal of distributed power supply i, j and the DC bus, respectively, R i , R j are the total equivalent output impedance of distributed power supply i, j respectively. From formula (7), it is easy to get:
各分布式电源在原下垂系数上增加k,有:Each distributed power supply adds k to the original droop coefficient, which is:
其中ioi′,ioj′分别为下垂系数增加后分布式电源i,j的输出电流值。x1,x2为下垂系数增加前后分布式电源i,j输出电流比值。由式(9)(10)可得:Among them, i oi ′, i oj ′ are the output current values of distributed power sources i and j after the droop coefficient is increased, respectively. x 1 and x 2 are the output current ratios of distributed power i and j before and after the droop coefficient is increased. From formula (9) (10) can get:
Rli=Ri-Rd (12)R li =R i -R d (12)
即分布式电源i通过与分布式电源j通信,获取下垂系数改变前后的电流值ioj,ioj′,根据(11)(12)由本地控制器计算出分布式电源i至直流母线间的线路阻抗Rli。That is, the distributed power source i communicates with the distributed power source j to obtain the current value i oj , i oj ′ before and after the change of the droop coefficient. According to (11)(12), the local controller calculates the Line impedance R li .
对该线路阻抗的测量方法进行误差分析:Error analysis of the measurement method of the line impedance:
由(13)(14)式可知,x″1,x2″分别为输出电流ioi,ioj比值及输出电流ioi′,ioj′比值的测量误差值。From (13) (14), it can be seen that x″ 1 , x 2 ″ are the measurement error values of the ratio of output current i oi , i oj and the ratio of output current i oi ′, i oj ′, respectively.
由(13)式可得:From formula (13), we can get:
由(12)(15)式可知线路阻抗Rli的测量误差由Ri的分母项x1″-x2″及分子项kx2″组成,其中分母项x1″-x2″无法消除,属不可控因素,而对于分子项kx2″,应有k<1,以免放大误差。It can be seen from (12) (15) that the measurement error of the line impedance R li is composed of the denominator term x 1 ″-x 2 ″ of R i and the numerator term kx 2 ″, where the denominator term x 1 ″-x 2 ″ cannot be eliminated, is an uncontrollable factor, and for the molecular item kx 2 ″, k<1 should be set to avoid magnifying the error.
为使电流在稳态,动态情况下均可以均分,各分布式电源所设下垂系数应有:In order to make the current evenly divided under steady state and dynamic conditions, the droop coefficients set for each distributed power supply should be:
Rdi+Rli=Rdj+Rlj=…=Rdn+Rln=R (16)R di +R li =R dj +R lj =...=R dn +R ln =R (16)
以使so that
ioi=ioj=…=ion (17)i oi =i oj =...=i on (17)
其中,Rdi Rdj,…,Rdn分别为直流微网分布式电源i,j,…,n的所设下垂系数,ioi,ioj,…,ion分别为直流微网分布式电源i,j,…,n输出电流值,R为分布式电源总等效输出阻抗,其应满足Among them, R di R dj ,…,R dn are the set droop coefficients of the DC microgrid distributed power supply i,j,…,n respectively, and i oi ,i oj ,…, ion are the DC microgrid distributed power supply i,j,...,n output current value, R is the total equivalent output impedance of the distributed power supply, which should satisfy
其中,ΔUmax为母线电压所允许的最大电压跌落,IN为满载时的母线额定电流。在考虑到线路阻抗测量误差的情况下,应使下垂系数RdiRdj,…,Rdn尽量大,则R也应尽量大,从而保证电流的均分精度,同时在此基础上进行母线电压补偿。基于一致性算法的电流观测器动态表达式如式(4)所示,即每台分布式电源仅与自己相邻的分布式电源进行通信,由本地控制器根据(4)式计算出直流微网系统所有分布式电源输出电流平均值,此时,每台分布式电源上的电压补偿量为Among them, ΔU max is the maximum voltage drop allowed by the bus voltage, and IN is the rated current of the bus at full load. In consideration of the line impedance measurement error, the droop coefficient R di R dj ,...,R dn should be as large as possible, and R should be as large as possible, so as to ensure the accuracy of current sharing, and on this basis, the bus voltage compensate. The dynamic expression of the current observer based on the consensus algorithm is shown in formula (4), that is, each distributed power supply only communicates with its adjacent distributed power supply, and the local controller calculates the DC micro The average output current of all distributed power sources in the network system, at this time, the voltage compensation amount on each distributed power source is
ΔU=Riavgi=Riavgj=…=Riavgn (19)ΔU = Ri avgi = Ri avgj = ... = Ri avgn (19)
则分布式电源i的指令电压参考值为Then the command voltage reference value of distributed power supply i is
Urefi=(U*-Rdiioi)+Riavgi (20)U refi =(U * -R di i oi )+Ri avgi (20)
可以看出,该方法仅需传输相邻电流信息,即可测量出各分布式电源输出端至直流母线间的线路阻抗,实现电流均分,同时也补偿了由下垂系数与线路阻抗造成的母线电压跌落,是一种较精确的母线电压补偿方式。It can be seen that this method only needs to transmit adjacent current information, and can measure the line impedance between the output terminals of each distributed power supply and the DC bus, realize current sharing, and also compensate the bus line impedance caused by the droop coefficient and line impedance. Voltage drop is a more accurate bus voltage compensation method.
实施例:Example:
以两台分布式电源为例,对具体实施方式进行说明:Taking two distributed power sources as an example, the specific implementation method is described:
图4所示为两台分布式电源并联运行控制的示意图,C1、C2分别为两台分布式电源输出端电容,Rl1、Rl2分别为两台分布式电源输出端至直流母线间的线路阻抗,io1、io2分别为两台分布式电源输出电流,RL为负载等效电阻。每台分布式电源本地采用下垂控制,二层控制采用发明所述的控制策略以及提高母线电压调整率,如图5所示。根据图4所示电路图及图5所示控制方式在MATLAB/SIMULINK平台对该发明策略进行验证,其中,母线额定电压值为80V,两台分布式电源的线路电阻Rl1=2Ω,Rl2=2.5Ω,负载RL=80Ω。具体实施步骤如下:Figure 4 is a schematic diagram of the parallel operation control of two distributed power supplies, C 1 and C 2 are the output capacitors of the two distributed power supplies, and R l1 and R l2 are the distance between the output terminals of the two distributed power supplies and the DC bus. The line impedance of , i o1 and i o2 are the output currents of the two distributed power supplies respectively, and R L is the equivalent resistance of the load. Each distributed power supply adopts droop control locally, and the second-layer control adopts the control strategy described in the invention and improves the bus voltage adjustment rate, as shown in Figure 5. According to the circuit diagram shown in Figure 4 and the control method shown in Figure 5, the inventive strategy is verified on the MATLAB/SIMULINK platform, wherein the rated voltage value of the busbar is 80V, and the line resistance R l1 of the two distributed power supplies = 2Ω, R l2 = 2.5Ω, load RL = 80Ω. The specific implementation steps are as follows:
1、初始设定每台分布式电源下垂系数为2.5Ω,稳态时两台分布式电源的本地控制器分别对自身的输出电流进行采样,采用平均值滤波方法分别采样5次输出电流值,同时采用低通滤波器滤除输出电流中的高频分量,之后获得5次采样后的本地输出电流平均值。1. Initially set the droop coefficient of each distributed power supply to 2.5Ω. In the steady state, the local controllers of the two distributed power supplies sample their own output currents respectively, and use the average value filtering method to sample the output current values 5 times respectively. At the same time, a low-pass filter is used to filter out high-frequency components in the output current, and then the average value of the local output current after 5 samples is obtained.
2、每台分布式电源与相邻分布式电源进行通信,向相邻分布式电源发送自身本地输出电流平均值。此时,每台分布式电源本地控制器通过式(9)计算得到本地输出电流平均值与相邻分布式电源输出电流平均值的比值,将该比值记为x1。2. Each distributed power supply communicates with the adjacent distributed power supply, and sends its own local output current average value to the adjacent distributed power supply. At this time, each distributed power local controller calculates the ratio of the local output current average value to the adjacent distributed power output current average value through formula (9), and the ratio is recorded as x 1 .
3、在每台分布式电源的下垂系数上增加0.5Ω,重复步骤1获得下垂系数改变后每台分布式电源自身的输出电流平均值,重复步骤2获得下垂系数改变后每台分布式电源本地输出电流平均值与相邻分布式电源输出电流平均值的比值,将该比值记为x2。3. Add 0.5Ω to the droop coefficient of each distributed power supply,
4、每台分布式电源的本地控制器根据式(11)(12)即可计算出该分布式电源输出端至直流母线间的线路阻抗。实验计算得到Rl1=2.0098Ω,Rl2=2.5107Ω,与实际阻值的测量误差分别为0.49%,0.43%。4. The local controller of each distributed power supply can calculate the line impedance between the output terminal of the distributed power supply and the DC bus according to formulas (11) and (12). The experimental calculation results in R l1 =2.0098Ω, R l2 =2.5107Ω, and the measurement errors from the actual resistance values are 0.49% and 0.43%, respectively.
5、统一设定每台分布式电源的总输出阻抗R为5Ω,则由式(12)计算得出分布式电源1、2的下垂系数Rd1=2.9902Ω,Rd2=2.4893Ω。此时两台分布式电源的总输出阻抗基本一致,达到了电流均分的目的。5. The total output impedance R of each distributed power supply is uniformly set to 5Ω, and the droop coefficients R d1 = 2.9902Ω and R d2 = 2.4893Ω of distributed
6、每台分布式电源的本地控制器与相邻分布式电源进行通信时二层控制采用基于式(4)的电流观测器获取全部分布式电源输出电流平均值,将该值与总输出阻抗R的乘积作为自身电压参考指令的补偿量送入电压控制环中,如式(19)(20)所示,达到了精确补偿母线电压跌落的目的。6. When the local controller of each distributed power source communicates with adjacent distributed power sources, the second-layer control uses a current observer based on formula (4) to obtain the average value of the output current of all distributed power sources, and compares this value with the total output impedance The product of R is sent to the voltage control loop as the compensation amount of its own voltage reference command, as shown in equations (19) and (20), which achieves the purpose of accurately compensating the bus voltage drop.
图6至图11所示为采用上述发明步骤进行实验时的仿真结果。图6所示为采用所发明的控制策略时直流母线电压的仿真结果,其中在t=1s时加重负载。图7与图8分别为加重负载前后直流母线电压稳态值,可以看出,变载前后直流母线电压稳态值均为额定电压80V,从而可看出该方法具有较精确的直流母线电压补偿效果。Fig. 6 to Fig. 11 show the simulation results when the above inventive steps are used for experiments. Fig. 6 shows the simulation results of the DC bus voltage using the invented control strategy, where the load is increased at t=1s. Figure 7 and Figure 8 respectively show the steady-state value of the DC bus voltage before and after the load is increased. It can be seen that the steady-state value of the DC bus voltage before and after the load change is the rated voltage of 80V, so it can be seen that this method has a more accurate DC bus voltage compensation. Effect.
图9所示为采用所发明策略时两台并联分布式电源输出电流值。图10与图11分别为变载前后两台分布式电源输出电流稳态值,可以看出,变载前后两台分布式电源的输出电流几乎趋于一致,从而可看出采用该方法控制时分布式电源输出电流均分精度较高。Figure 9 shows the output current values of two parallel distributed power supplies when the invented strategy is adopted. Figure 10 and Figure 11 are the steady-state values of the output currents of the two distributed power sources before and after the load change respectively. It can be seen that the output currents of the two distributed power sources before and after the load change are almost the same. The distributed power output current sharing accuracy is higher.
图12与图13分别为仅采用初始下垂系数进行下垂控制时直流母线电压与两台分布式电源输出电流值。可以看出,仅采取下垂控制时由于受线路阻抗不一致的影响,电流均分精度较差,同时直流母线电压也产生一定程度上的跌落,同时当负载越重时,电流均分精度越差,且直流母线电压跌落也越大。Figure 12 and Figure 13 respectively show the DC bus voltage and the output current values of the two distributed power supplies when only the initial droop coefficient is used for droop control. It can be seen that when only droop control is adopted, due to the influence of inconsistent line impedance, the accuracy of current sharing is poor, and the DC bus voltage also drops to a certain extent. At the same time, when the load is heavier, the accuracy of current sharing is worse. And the DC bus voltage drop is also greater.
综上所述,通过采用所发明控制策略的仿真结果与仅采用下垂控制的仿真结果进行对比,可以看出该方法具有较高的电流均分精度及母线电压补偿精度。To sum up, by comparing the simulation results using the invented control strategy with the simulation results using only the droop control, it can be seen that the method has higher current sharing accuracy and bus voltage compensation accuracy.
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