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CN110265991B - Distributed coordination control method for direct-current micro-grid - Google Patents

Distributed coordination control method for direct-current micro-grid Download PDF

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CN110265991B
CN110265991B CN201910375829.2A CN201910375829A CN110265991B CN 110265991 B CN110265991 B CN 110265991B CN 201910375829 A CN201910375829 A CN 201910375829A CN 110265991 B CN110265991 B CN 110265991B
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于艾清
丁雨
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Shanghai University of Electric Power
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J1/00Circuit arrangements for DC mains or DC distribution networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

The invention relates to a distributed coordination control method of a direct-current micro-grid, which comprises the following steps: s1: according to a distributed power supply in a direct-current micro-grid system, combining supply-demand balance conditions and capacity limitation, and establishing a total power generation cost function of the system; s2: each power generation unit and an intelligent agent controller thereof acquire local information and initialize the local information; s3: solving a power generation cost function by adopting an improved multi-agent consistency algorithm to obtain the cost micro-increment rate and the output power of each unit, and stabilizing the voltage of a direct current bus; s4: performing algorithm iteration at the next moment, processing the obtained information, and finally outputting the optimal power; s5: and carrying out distributed coordination scheduling control on the direct current micro-grid by utilizing the optimal power. Compared with the prior art, the invention has the advantages of simultaneously realizing the multi-objective control of minimum power generation cost, effectively stabilizing the bus voltage, keeping the power balance and maximally utilizing the renewable energy.

Description

一种直流微电网的分布式协调控制方法A distributed coordinated control method for DC microgrid

技术领域Technical Field

本发明涉及直流微电网能量协调控制技术领域,尤其是涉及一种直流微电网的分布式协调控制方法。The present invention relates to the technical field of energy coordinated control of a direct current microgrid, and in particular to a distributed coordinated control method of a direct current microgrid.

背景技术Background Art

随着大量新能源发电在传统电网中的渗透率不断提高,微电网技术应运而生。微电网技术是一种将分布式电源、负荷、储能装置等有机整合在一起的小型发配电系统。目前对于微电网的研究大多集中在交流微电网,但光伏、风力发电等新能源发电单元产生的电能大部分为直流电,采用直流微电网不仅省去了交直流变换装置,减小成本、降低损耗,并且电网内不存在频率稳定、无功功率等问题,因此,对直流微电网系统的研究正在受到广泛的关注。母线电压是反应系统稳定运行和功率平衡的关键指标。系统内功率不平衡时会引起母线电压的波动,母线电压过高说明系统内有功功率过剩,反之,则系统内功率不足。因此,控制直流母线电压稳定通常是直流微电网的重要目标。With the increasing penetration of a large number of renewable energy power generation in traditional power grids, microgrid technology has emerged. Microgrid technology is a small power generation and distribution system that organically integrates distributed power sources, loads, energy storage devices, etc. At present, most of the research on microgrids is focused on AC microgrids, but most of the electricity generated by renewable energy power generation units such as photovoltaic and wind power generation is DC power. The use of DC microgrids not only eliminates the AC/DC conversion device, reduces costs and losses, but also does not have frequency stability and reactive power problems in the power grid. Therefore, research on DC microgrid systems is receiving widespread attention. Bus voltage is a key indicator of stable operation and power balance of the reaction system. When the power in the system is unbalanced, the bus voltage will fluctuate. Excessive bus voltage indicates that there is excess active power in the system, and vice versa, the power in the system is insufficient. Therefore, controlling the stability of the DC bus voltage is usually an important goal of DC microgrids.

能量管理系统是微电网潮流管理的必要手段,其管理方式主要有基于规划管理和最优化管理。其中最优化管理考虑了系统运行的经济效益,因而在国内外引起广泛的关注。Energy management system is a necessary means of microgrid power flow management, and its management methods mainly include planning management and optimization management. Among them, optimization management takes into account the economic benefits of system operation, and thus has attracted widespread attention at home and abroad.

针对直流微电网的控制方法,主要分为集中式控制与分布式控制。集中式控制采用系统中可控单元统一向中央控制器发送和接收状态指令,对通信网络的稳定性要求较高,并且导致系统运营成本较高,且分布式电源的高渗透率与微电网的可拓展性使得传统的集中式优化协调管理缺乏灵活性与可拓展性。相比较而言,分布式控制适应性更强,更能满足分布式电源即插即用的要求。The control methods for DC microgrids are mainly divided into centralized control and distributed control. Centralized control uses the controllable units in the system to send and receive status instructions to the central controller in a unified manner. It has high requirements on the stability of the communication network and leads to high system operating costs. The high penetration rate of distributed power sources and the scalability of microgrids make traditional centralized optimization and coordination management lack flexibility and scalability. In comparison, distributed control has stronger adaptability and can better meet the plug-and-play requirements of distributed power sources.

多智能体系统作为分布式结构中的一种,具有良好的启发性和自主性,尤其适用于复杂的微网能量管理。在多智能体系统的分布式控制中,最基本的问题即多智能体系统的一致性。多智能体多智能体系统的一致性优化算法能够实现电力系统的分布式优化运行,这种分布式控制结构仅需要获得本地智能体及其邻居智能体的信息,网络通信压力小,满足即插即用。可控电力设备通过通信网络实现信息交互,并通过局部通信网络与其他智能体进行信息交互,实现整个微电网系统的协调优化运行。As a kind of distributed structure, multi-agent system has good inspiration and autonomy, and is particularly suitable for complex microgrid energy management. In the distributed control of multi-agent system, the most basic problem is the consistency of multi-agent system. The consistency optimization algorithm of multi-agent multi-agent system can realize the distributed optimization operation of power system. This distributed control structure only needs to obtain the information of local agent and its neighboring agents, with low network communication pressure and plug-and-play. Controllable power equipment realizes information exchange through communication network, and exchanges information with other agents through local communication network to realize the coordinated optimization operation of the whole microgrid system.

在目前针对微网的能量管理策略研究中,大部分研究针对传统交流微电网。在针对直流微电网的研究中,涉及可再生能源利用最大化和发电成本最小化这类经济目标的较少。因此,提出一种能够在直流微电网中实现运行成本最低,并合理分配各单元输出功率,同时能够快速实现母线电压稳定及电网功率平衡的多目标控制策略方法十分有必要。In the current research on energy management strategies for microgrids, most of the research is on traditional AC microgrids. In the research on DC microgrids, there are few studies involving economic goals such as maximizing the utilization of renewable energy and minimizing the cost of power generation. Therefore, it is very necessary to propose a multi-objective control strategy method that can achieve the lowest operating cost in the DC microgrid, reasonably allocate the output power of each unit, and quickly achieve bus voltage stability and grid power balance.

发明内容Summary of the invention

本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种直流微电网的分布式协调控制方法。The purpose of the present invention is to provide a distributed coordinated control method for a DC microgrid in order to overcome the defects of the above-mentioned prior art.

本发明的目的可以通过以下技术方案来实现:The purpose of the present invention can be achieved by the following technical solutions:

一种直流微电网的分布式协调控制方法,包括以下步骤:A distributed coordinated control method for a DC microgrid comprises the following steps:

步骤1:根据直流微电网系统中的分布式电源,结合供需平衡条件和容量限制,建立系统的总发电成本函数模型;Step 1: Based on the distributed power sources in the DC microgrid system, combined with the supply and demand balance conditions and capacity constraints, establish the total power generation cost function model of the system;

步骤2:各发电单元及其智能体控制器获取本地信息,并初始化;Step 2: Each power generation unit and its intelligent controller obtain local information and initialize;

步骤3:采用改进的多智能体一致性算法对发电成本函数求解,获得各单元的成本微增率和输出功率,同时稳定直流母线电压;Step 3: Use the improved multi-agent consensus algorithm to solve the power generation cost function, obtain the cost increment rate and output power of each unit, and stabilize the DC bus voltage;

步骤4:进行下一时刻的算法迭代,对获得的信息进行处理,最后输出最优功率;Step 4: Perform algorithm iteration at the next moment, process the obtained information, and finally output the optimal power;

进一步地,所述步骤1中的总发电成本函数模型,其描述公式为:Furthermore, the total power generation cost function model in step 1 is described by the formula:

Figure BDA0002051622030000021
Figure BDA0002051622030000021

式中,PB.i为储能单元i的输出功率,SB为可控储能单元的集合,ai、bi、ci为相应的函数系数,i为自然数,Ci表示发电单元i的运行成本。Where P Bi is the output power of energy storage unit i, SB is the set of controllable energy storage units, a i , b i , c i are the corresponding function coefficients, i is a natural number, and C i represents the operating cost of power generation unit i.

进一步地,所述步骤1中的供需平衡条件,其描述公式为:Furthermore, the supply-demand balance condition in step 1 is described by the formula:

Figure BDA0002051622030000022
Figure BDA0002051622030000022

式中,PG为所有分布式发电单元的输出功率,SL为所有负荷单元的集合,PD.i为储能单元i的本地有功需求。Where PG is the output power of all distributed generation units, SL is the set of all load units, and PDi is the local active power demand of energy storage unit i.

进一步地,所述步骤1中的容量限制,其描述公式为:Furthermore, the capacity limit in step 1 is described by the formula:

Figure BDA0002051622030000031
Figure BDA0002051622030000031

Figure BDA0002051622030000032
Figure BDA0002051622030000032

式中,

Figure BDA0002051622030000033
PB.i(k)、
Figure BDA0002051622030000034
分别对应为k时刻储能单元i的输出功率最小值、实际值和最大值,
Figure BDA0002051622030000035
SOCB.i(k)、
Figure BDA0002051622030000036
分别对应为k时刻储能单元i的剩余电量最小值、实际值和最大值。In the formula,
Figure BDA0002051622030000033
P Bi (k),
Figure BDA0002051622030000034
They correspond to the minimum, actual and maximum output power of energy storage unit i at time k respectively.
Figure BDA0002051622030000035
SOC Bi (k),
Figure BDA0002051622030000036
They correspond to the minimum, actual and maximum remaining power of energy storage unit i at time k respectively.

进一步地,所述步骤2中的初始化的过程包括以下分步骤:Furthermore, the initialization process in step 2 includes the following sub-steps:

步骤201:获取储能单元i智能体测量到的本地负荷信息和有功功率,获取各单元的成本微增率;Step 201: Obtain the local load information and active power measured by the energy storage unit i agent, and obtain the cost increment rate of each unit;

步骤202:根据拓扑图形成拉普拉斯矩阵和邻接矩阵。Step 202: Form a Laplacian matrix and an adjacency matrix according to the topological graph.

进一步地,所述步骤3中的多智能体一致性算法的算法改进包括定义辅助变量并进一步定义储能单元的输出功率和引入电压稳定函数并进一步设置修改后的一致性协议。Furthermore, the algorithm improvement of the multi-agent consensus algorithm in step 3 includes defining auxiliary variables and further defining the output power of the energy storage unit and introducing a voltage stabilization function and further setting a modified consistency protocol.

进一步地,所述的储能单元的输出功率的计算公式为:Furthermore, the calculation formula for the output power of the energy storage unit is:

Figure BDA0002051622030000037
Figure BDA0002051622030000037

式中,aij表示智能体i和j之间的通信拓扑权重,Ni表示储能单元i的邻居单元集合,

Figure BDA0002051622030000038
Figure BDA0002051622030000039
分别表示t时刻智能体i和j的辅助变量,dic为储能单元i与其本地需求有功负荷之间的权重系数,PD.c表示与权重系数对应的本地有功需求。In the formula, aij represents the communication topology weight between agents i and j, Ni represents the set of neighboring units of energy storage unit i,
Figure BDA0002051622030000038
and
Figure BDA0002051622030000039
They represent the auxiliary variables of agents i and j at time t respectively, dic is the weight coefficient between energy storage unit i and its local required active load, and Pdc represents the local active demand corresponding to the weight coefficient.

进一步地,所述的修改后的一致性协议,其描述公式为:Furthermore, the modified consistency protocol is described as follows:

Figure BDA00020516220300000310
Figure BDA00020516220300000310

式中,L表示拉普拉斯矩阵,

Figure BDA00020516220300000311
λ(t)为t时刻可控运行单元成本,
Figure BDA00020516220300000312
为t时刻可控运行单元成本的导数,ε为直流母线电压误差因子,Udc为直流母线电压的设定值,U为直流母线电压的实际值。Where L represents the Laplace matrix,
Figure BDA00020516220300000311
λ(t) is the controllable operating unit cost at time t,
Figure BDA00020516220300000312
is the derivative of the controllable operation unit cost at time t, ε is the DC bus voltage error factor, U dc is the set value of the DC bus voltage, and U is the actual value of the DC bus voltage.

进一步地,所述步骤4中对获得的信息进行处理包括以下分步骤:Furthermore, the processing of the obtained information in step 4 includes the following sub-steps:

步骤401:当采用一致性算法后出现某个发电单元的输出功率超出其限定值时,修改输出功率的功率限值并设置可控储能单元的输出功率约束;Step 401: when the output power of a certain power generation unit exceeds its limit value after the consistency algorithm is adopted, modify the power limit of the output power and set the output power constraint of the controllable energy storage unit;

步骤402:当一致性算法迭代结束后,判断输出功率是否越限后根据可控储能单元的输出功率约束输出相应的有功功率。Step 402: After the consistency algorithm iteration is completed, it is determined whether the output power exceeds the limit and the corresponding active power is output according to the output power constraint of the controllable energy storage unit.

进一步地,所述步骤401中的可控储能单元的输出功率约束,其具体描述公式为:Furthermore, the output power constraint of the controllable energy storage unit in step 401 is specifically described by the formula:

Figure BDA0002051622030000041
Figure BDA0002051622030000041

式中,λ*为最优增量成本,

Figure BDA0002051622030000042
Figure BDA0002051622030000043
分别为储能单元i的输出功率最小值和最大值。Where λ * is the optimal incremental cost,
Figure BDA0002051622030000042
and
Figure BDA0002051622030000043
are the minimum and maximum output power of energy storage unit i respectively.

与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

(1)本发明采用改进的多智能体一致性算法对直流微电网运行成本模型求解,改进的一致性算法具有良好的收敛性,速度较快,可以稳定地收敛到最大功率点;通过各智能体与邻居智能体交换增量成本信息,并获得自身直流母线电压值,相比于传统的集中式控制,通信负担小。(1) The present invention adopts an improved multi-agent consensus algorithm to solve the DC microgrid operation cost model. The improved consensus algorithm has good convergence and fast speed, and can stably converge to the maximum power point. Each agent exchanges incremental cost information with its neighboring agents and obtains its own DC bus voltage value. Compared with traditional centralized control, the communication burden is small.

(2)本发明在满足可控储能单元运行成本最低的前提下,同时实现了分布式电源的最大消纳、发电功率最优和直流母线电压稳定,实现了直流微电网的多目标协调控制。(2) Under the premise of satisfying the lowest operating cost of the controllable energy storage unit, the present invention simultaneously achieves the maximum absorption of distributed power sources, optimal power generation and stable DC bus voltage, thus realizing multi-objective coordinated control of the DC microgrid.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1为本发明所采用的直流微电网结构示意图;FIG1 is a schematic diagram of the structure of a DC microgrid used in the present invention;

图2为本发明提出的控制方法流程图;FIG2 is a flow chart of the control method proposed by the present invention;

图3为本发明采用的各智能体通信网络拓扑结构图;FIG3 is a topological diagram of the communication network of each intelligent agent used in the present invention;

图4为本发明实施例中得到的成本微增率收敛图;FIG4 is a convergence diagram of the cost micro-increase rate obtained in an embodiment of the present invention;

图5为本发明实施例中得到的各可控单元的最优输出功率收敛图;FIG5 is a graph showing the optimal output power convergence of each controllable unit obtained in an embodiment of the present invention;

图6为本发明实施例中的直流母线电压变化曲线图;FIG6 is a curve diagram of DC bus voltage variation in an embodiment of the present invention;

图7为本发明实施例与传统集中式控制方法下的直流母线电压变化曲线对比图。FIG. 7 is a comparison diagram of DC bus voltage variation curves under the embodiment of the present invention and the traditional centralized control method.

具体实施方式DETAILED DESCRIPTION

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明的一部分实施例,而不是全部实施例。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的前提下所获得的所有其他实施例,都应属于本发明保护的范围。The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work should fall within the scope of protection of the present invention.

实施例Example

图1为本发明所采用的直流微电网结构,由图1可以看出,直流微电网中主要包括分布式发电单元、储能单元和负荷单元。直流微电网通过静态转换开关(STS)与主网相连,因此直流微网可以工作在两种模式下:并网模式和孤岛模式,本发明中仅考虑直流微电网工作在孤岛模式下。直流微电网结构分为通信结构和物理结构两层,通信结构由控制单元对应的智能体组成,物理结构由电网中控制单元组成。每个智能体可以接收和采样相应的本地物理单元及其邻居单元的指令和信息,在接收到相应的信息后在智能体内进行迭代,从而更新本地物理单元的信息。FIG1 is a DC microgrid structure adopted by the present invention. As can be seen from FIG1, the DC microgrid mainly includes distributed generation units, energy storage units and load units. The DC microgrid is connected to the main grid through a static transfer switch (STS), so the DC microgrid can work in two modes: grid-connected mode and island mode. The present invention only considers the DC microgrid working in island mode. The DC microgrid structure is divided into two layers: communication structure and physical structure. The communication structure is composed of the intelligent agent corresponding to the control unit, and the physical structure is composed of the control unit in the power grid. Each intelligent agent can receive and sample the instructions and information of the corresponding local physical unit and its neighboring units, and iterate in the intelligent agent after receiving the corresponding information, thereby updating the information of the local physical unit.

本发明控制方法的具体步骤流程如图2所示,包括以下步骤:The specific steps of the control method of the present invention are shown in Figure 2, which includes the following steps:

步骤一、根据直流微电网系统中的分布式电源,结合供需平衡条件和容量限制,建立系统的总发电成本函数。Step 1: According to the distributed power sources in the DC microgrid system, combined with the supply and demand balance conditions and capacity constraints, establish the total power generation cost function of the system.

直流微电网系统的总发电成本函数的表达式为:The total power generation cost function of the DC microgrid system is expressed as:

Figure BDA0002051622030000051
Figure BDA0002051622030000051

式中,PB.i为储能单元i的输出功率,SB为可控储能单元的集合,ai、bi、ci为相应的函数系数,i为自然数,Ci表示发电单元i的运行成本,储能单元分为充电与放电两种状态,放电时符号为正,充电时符号为负。Where P Bi is the output power of energy storage unit i, SB is the set of controllable energy storage units, a i , b i , c i are the corresponding function coefficients, i is a natural number, C i represents the operating cost of power generation unit i, and the energy storage unit is divided into two states: charging and discharging. The sign is positive when discharging and negative when charging.

直流微电网供需平衡条件为:The supply and demand balance condition of the DC microgrid is:

Figure BDA0002051622030000052
Figure BDA0002051622030000052

式中,PG为所有分布式发电单元的输出功率,SL为所有负荷单元的集合,PD.i为储能单元i的本地有功需求。Where PG is the output power of all distributed generation units, SL is the set of all load units, and PDi is the local active power demand of energy storage unit i.

可控储能单元的运行容量限制为:The operating capacity of the controllable energy storage unit is limited to:

Figure BDA0002051622030000061
Figure BDA0002051622030000061

Figure BDA0002051622030000062
Figure BDA0002051622030000062

式中,

Figure BDA0002051622030000063
PB.i(k)、
Figure BDA0002051622030000064
分别对应为k时刻储能单元i的输出功率最小值、实际值和最大值,
Figure BDA0002051622030000065
SOCB.i(k)、
Figure BDA0002051622030000066
分别对应为k时刻储能单元的剩余电量最小值、实际值和最大值。In the formula,
Figure BDA0002051622030000063
P Bi (k),
Figure BDA0002051622030000064
They correspond to the minimum, actual and maximum output power of energy storage unit i at time k respectively.
Figure BDA0002051622030000065
SOC Bi (k),
Figure BDA0002051622030000066
They correspond to the minimum, actual and maximum remaining power of the energy storage unit at time k respectively.

当不考虑输出功率和剩余电量限制时,可以利用拉格朗日乘子法,将目标函数转化为:When the output power and remaining power limits are not considered, the Lagrange multiplier method can be used to transform the objective function into:

Figure BDA0002051622030000067
Figure BDA0002051622030000067

式中:η为拉格朗日乘子。对变量PB.i和η求导,得到目标函数的最优条件:Where: η is the Lagrange multiplier. By taking the derivative of variables P Bi and η, we can obtain the optimal condition of the objective function:

Figure BDA0002051622030000068
Figure BDA0002051622030000068

Figure BDA0002051622030000069
Figure BDA0002051622030000069

将成本Ci对输出功率PB.i的导数定义为第i个储能单元的成本微增率λi,由最优条件可知,成本目标函数的最优解是各个储能单元的成本微增率λi相等且保持功率平衡,即:The derivative of the cost Ci with respect to the output power P Bi is defined as the cost increment rate λi of the i-th energy storage unit. From the optimal condition, it can be seen that the optimal solution of the cost objective function is that the cost increment rate λi of each energy storage unit is equal and the power balance is maintained, that is:

λ1=λ2=…=λi=λ* i∈SB λ 12 =…=λ i* i∈S B

式中:λ*为最优增量成本。即满足“等微增率原则”时,直流微电网系统的运行成本最小。此时,对应的最优增量成本和最优输出功率之间的关系为:Where: λ * is the optimal incremental cost. That is, when the “equal incremental rate principle” is met, the operating cost of the DC microgrid system is the minimum. At this time, the relationship between the corresponding optimal incremental cost and the optimal output power is:

Figure BDA00020516220300000610
Figure BDA00020516220300000610

式中:

Figure BDA00020516220300000611
为各单元的的最优输出功率,即:Where:
Figure BDA00020516220300000611
is the optimal output power of each unit, that is:

Figure BDA00020516220300000612
Figure BDA00020516220300000612

步骤二、各发电单元及其智能体控制器获取本地信息,并初始化。Step 2: Each power generation unit and its intelligent body controller obtains local information and initializes.

如图1所示,直流微电网的结构分为通信结构和物理结构两层,初始化信息的具体内容包括:As shown in Figure 1, the structure of the DC microgrid is divided into two layers: communication structure and physical structure. The specific content of the initialization information includes:

(1)单元i的智能体i获取测量到的本地负荷信息PD.i和有功功率PB.i,计算各单元的成本微增率λi(1) Agent i of unit i obtains the measured local load information P Di and active power P Bi and calculates the cost increment rate λ i of each unit.

(2)根据拓扑图形成Laplace矩阵,形成邻接矩阵。(2) Form a Laplace matrix based on the topological graph to form an adjacency matrix.

Laplace矩阵的定义如下:The Laplace matrix is defined as follows:

直流微电网的各个节点之间通过通信网络进行信息交换,通信网络图可以用G={V,E,A}表示,定义图G是一个无向网络,其中V={v1,v2,…vn}为节点集合,n为节点总数;E为各节点间构成的边的集合,

Figure BDA0002051622030000071
A为描述节点和边之间关系的邻接矩阵。如果在节点Vi和Vj间存在通信路径,则Vi和Vj是彼此的邻居,即认为两者之间存在一条无向边,该连接表示为(Vi,Vj),且(Vi,Vj)∈E,特别地在无向图中,(Vi,Vj)∈E等同于(Vj,Vi)∈E;其在邻接矩阵A={aij}中对应的邻接矩阵元素,aij=aji>0,否则aij=aji=0,对角线元素aii=0。因此,定义顶点的邻居集合为Ni={j∈v:(vj,vi)∈E}。节点Vi对应的入度为
Figure BDA0002051622030000072
由di组成的度矩阵D=diag{dij},则图G的Laplace矩阵定义为L=D-A,其中lij=-aij
Figure BDA0002051622030000073
The nodes of the DC microgrid exchange information through the communication network. The communication network graph can be represented by G = {V, E, A}. The graph G is defined as an undirected network, where V = {v 1 , v 2 , …v n } is a node set, n is the total number of nodes; E is the set of edges between nodes,
Figure BDA0002051622030000071
A is an adjacency matrix that describes the relationship between nodes and edges. If there is a communication path between nodes Vi and Vj , then Vi and Vj are neighbors of each other, that is, it is considered that there is an undirected edge between the two. The connection is represented by ( Vi , Vj ), and ( Vi , Vj )∈E. In particular, in an undirected graph, ( Vi , Vj )∈E is equivalent to ( Vj , Vi )∈E; its corresponding adjacency matrix element in the adjacency matrix A={ aij } is aijaji >0, otherwise aijaji =0, and the diagonal element aii =0. Therefore, the neighbor set of the vertex is defined as Ni ={j∈v:( vj , vi )∈E}. The in-degree corresponding to node Vi is
Figure BDA0002051622030000072
The degree matrix D = diag{d ij } composed of d i , then the Laplace matrix of the graph G is defined as L = DA, where l ij = -a ij ,
Figure BDA0002051622030000073

步骤三、采用改进的多智能体一致性算法对发电成本函数求解,获得各单元的成本微增率和输出功率,同时稳定直流母线电压。Step 3: Use the improved multi-agent consensus algorithm to solve the power generation cost function, obtain the cost increment rate and output power of each unit, and stabilize the DC bus voltage.

一致性算法在群体控制、复杂动态网络、协调控制等多方面有较广泛的应用。作为寻找直流微电网最优经济运行点的方法,其具有收敛速度快、收敛条件简单的特点。The consensus algorithm has a wide range of applications in group control, complex dynamic networks, coordinated control, etc. As a method for finding the optimal economic operation point of a DC microgrid, it has the characteristics of fast convergence speed and simple convergence conditions.

在传统的多智能体一致性算法中,假设有n个智能体,定义动态方程:In the traditional multi-agent consensus algorithm, assuming there are n agents, the dynamic equation is defined as:

Figure BDA0002051622030000074
Figure BDA0002051622030000074

式中,ui(t)为控制变量,xi(t)为状态变量表示网络中不同智能体的状态,上标·表示导数,控制变量的具体控制规律如下:In the formula, ui (t) is the control variable, xi (t) is the state variable representing the state of different agents in the network, and the superscript · represents the derivative. The specific control rules of the control variables are as follows:

Figure BDA0002051622030000075
Figure BDA0002051622030000075

写成矩阵形式则为:Written in matrix form:

Figure BDA0002051622030000076
Figure BDA0002051622030000076

该算法通过各智能体与相邻智能体交换信息,将两个智能体之间的状态差不断减小直至达到所有智能体的一致性,这种方法无需全局信息,只需要获得相邻的局部信息。The algorithm exchanges information between each agent and its adjacent agents, and continuously reduces the state difference between two agents until the consistency of all agents is achieved. This method does not require global information, but only needs to obtain adjacent local information.

本发明采用的改进的多智能体一致性算法,为了解决经济优化问题,采用λ作为一致性变量,当每个智能体迭代到最优增量成本时,同时能获得最优输出功率。考虑到各可控单元的成本微增率不同,输出功率的上下限不同,分布式一致性算法通信网络中的延迟也不可忽视,即保证策略的鲁棒性。即保证策略的鲁棒性。假设智能体之间的通信时刻由t表示,定义辅助变量

Figure BDA0002051622030000081
定义储能单元的输出功率为:The improved multi-agent consensus algorithm adopted by the present invention adopts λ as the consistency variable to solve the economic optimization problem. When each agent iterates to the optimal incremental cost, the optimal output power can be obtained at the same time. Considering that the cost increment rate of each controllable unit is different, the upper and lower limits of the output power are different, and the delay in the distributed consensus algorithm communication network cannot be ignored, that is, to ensure the robustness of the strategy. Assume that the communication time between agents is represented by t, define the auxiliary variable
Figure BDA0002051622030000081
The output power of the energy storage unit is defined as:

Figure BDA0002051622030000082
Figure BDA0002051622030000082

式中,aij表示智能体i和j之间的通信拓扑权重,Ni表示储能单元i的邻居单元集合,

Figure BDA0002051622030000083
Figure BDA0002051622030000084
分别表示t时刻智能体i和j的辅助变量,dic为储能单元i与其本地需求有功负荷之间的权重系数,如果单元有本地有功需求,则取值为1,否则为0,PD.c表示与权重系数对应的本地有功需求,j,c为自然数。In the formula, aij represents the communication topology weight between agents i and j, Ni represents the set of neighboring units of energy storage unit i,
Figure BDA0002051622030000083
and
Figure BDA0002051622030000084
They represent the auxiliary variables of agents i and j at time t respectively, dic is the weight coefficient between energy storage unit i and its local required active load, if the unit has local active demand, the value is 1, otherwise it is 0, P Dc represents the local active demand corresponding to the weight coefficient, j, c are natural numbers.

本发明提出的通信协议如下:The communication protocol proposed by the present invention is as follows:

Figure BDA0002051622030000085
Figure BDA0002051622030000085

Figure BDA0002051622030000086
Figure BDA0002051622030000086

Figure BDA0002051622030000087
Figure BDA0002051622030000087

λi(0)=aiPB.i(0)+bi λ i (0) = a i P Bi (0) + bi

其中,λi(0)、PB.i(0)分别为λ、PB.i初始值;上标·表示导数值;各单元的输出功率迭代满足:Where λ i (0) and P Bi (0) are the initial values of λ and P Bi respectively; the superscript · represents the derivative value; the output power iteration of each unit satisfies:

Figure BDA0002051622030000088
Figure BDA0002051622030000088

可以看出,该一致性协议在满足功率平衡条件的基础上,能够迭代到最优输出功率,同时满足等微增率准则,可以得到可控运行单元的最低成本。It can be seen that the consistency protocol can iterate to the optimal output power on the basis of satisfying the power balance condition, and at the same time satisfy the equal incremental rate criterion, and can obtain the minimum cost of the controllable operating unit.

化简后的矩阵形式为:The simplified matrix form is:

Figure BDA0002051622030000089
Figure BDA0002051622030000089

针对直流微电网中母线电压可能出现的波动,在一致性协议的基础上,引入电压稳定函数,利用一致性协议控制直流母线电压值至额定值,使直流母线电压能够收敛到系统设定的额定值。修改后的一致性协议为:In view of the possible fluctuations of bus voltage in DC microgrid, a voltage stability function is introduced on the basis of consistency protocol, and the DC bus voltage value is controlled to the rated value by using consistency protocol, so that the DC bus voltage can converge to the rated value set by the system. The modified consistency protocol is:

Figure BDA00020516220300000810
Figure BDA00020516220300000810

式中,L表示拉普拉斯矩阵,

Figure BDA0002051622030000091
λ(t)为t时刻可控运行单元成本,
Figure BDA0002051622030000092
为t时刻可控运行单元成本的导数,ε为直流母线电压误差因子,Udc为直流母线电压的设定值,U为直流母线电压的实际值,当直流母线电压的设定值大于直流母线电压的实际值时,输出功率增加;若相反则需要减小,当个智能体单元的增量成本迭代达到一致时,直流母线电压实际值达到额定设定值。Where L represents the Laplace matrix,
Figure BDA0002051622030000091
λ(t) is the controllable operating unit cost at time t,
Figure BDA0002051622030000092
is the derivative of the cost of the controllable operating unit at time t, ε is the DC bus voltage error factor, U dc is the set value of the DC bus voltage, and U is the actual value of the DC bus voltage. When the set value of the DC bus voltage is greater than the actual value of the DC bus voltage, the output power increases; otherwise, it needs to decrease. When the incremental cost iterations of the intelligent units reach a consensus, the actual value of the DC bus voltage reaches the rated set value.

步骤四、进行下一时刻的算法迭代,对获得的信息进行处理,最后输出最优功率。Step 4: Perform algorithm iteration at the next moment, process the obtained information, and finally output the optimal power.

当采用一致性算法时,有可能导致某个发电单元的输出功率超出其限定值,此时应修改输出功率的功率限值。考虑输出功率的限制范围,可控储能单元的输出功率约束可以修改为:When the consistency algorithm is used, it is possible that the output power of a certain power generation unit exceeds its limit value. In this case, the power limit of the output power should be modified. Considering the output power limit range, the output power constraint of the controllable energy storage unit can be modified as follows:

Figure BDA0002051622030000093
Figure BDA0002051622030000093

式中,λ*为最优增量成本,

Figure BDA0002051622030000094
Figure BDA0002051622030000095
分别为储能单元i的输出功率最小值和最大值。Where λ * is the optimal incremental cost,
Figure BDA0002051622030000094
and
Figure BDA0002051622030000095
are the minimum and maximum output power of energy storage unit i respectively.

当一致性算法迭代结束后,判断输出功率是否越限,再根据功率约束输出相应的有功功率。When the consistency algorithm iteration is completed, it is determined whether the output power exceeds the limit, and then the corresponding active power is output according to the power constraint.

为证明本发明协调控制策略方法的有效性,本实施例搭建了直流微电网的结构仿真模型,如图1所示。微电网模型运行在孤岛状态,直流母线电压额定值为380V;仿真系统中包含两组光伏发电单元,最大功率分别为100kW和150kW;三组储能单元,容量均为30kWh,各单元初始SOC分别为70%、65%、60%,文中选取SOC的范围为20%~90%;系统初始负荷包含200kW直流负荷。In order to prove the effectiveness of the coordinated control strategy method of the present invention, this embodiment builds a structural simulation model of a DC microgrid, as shown in Figure 1. The microgrid model operates in an island state, and the DC bus voltage rating is 380V; the simulation system includes two groups of photovoltaic power generation units, with maximum powers of 100kW and 150kW respectively; three groups of energy storage units, with a capacity of 30kWh, and the initial SOC of each unit is 70%, 65%, and 60% respectively. The range of SOC selected in this article is 20% to 90%; the initial load of the system includes a 200kW DC load.

本实施例所采用的通信拓扑结构如图3所示,所对应的邻接矩阵为:The communication topology structure adopted in this embodiment is shown in FIG3 , and the corresponding adjacency matrix is:

Figure BDA0002051622030000096
Figure BDA0002051622030000096

各储能单元的成本参数和控制参数如表1和表2所示。The cost parameters and control parameters of each energy storage unit are shown in Table 1 and Table 2.

表1成本参数Table 1 Cost parameters

Figure BDA0002051622030000101
Figure BDA0002051622030000101

表2控制参数Table 2 Control parameters

Figure BDA0002051622030000102
Figure BDA0002051622030000102

为了验证本发明的一致性算法对直流母线电压的稳定作用。针对直流微电网的运行,在20s时突然减小80kW的直流负荷1,在35s时再增加100kW的交流负荷2。并将得到的结果与传统的下垂控制方法做对比。In order to verify the stabilizing effect of the consistency algorithm of the present invention on the DC bus voltage, for the operation of the DC microgrid, the DC load 1 of 80kW is suddenly reduced at 20s, and the AC load 2 of 100kW is increased at 35s. The obtained results are compared with the traditional droop control method.

图4为本发明模型采用的一致性算法得到的最优成本微增率。系统中所有可控储能单元的成本微增率λ在5s内收敛到相同值,且最优成本微增率λ*=12.68元/kW。Figure 4 shows the optimal cost increment rate obtained by the consistency algorithm used in the model of the present invention. The cost increment rates λ of all controllable energy storage units in the system converge to the same value within 5s, and the optimal cost increment rate λ * = 12.68 yuan/kW.

图5为本发明模型采用的一致性算法得到的最优输出功率。通过图5分析发现,各储能输出功率在11s内收敛到最优输出功率,储能1、储能2、储能3的最优输出功率分别为PB.1=18.11kW,PB.2=17.61kW,PB.3=30.7kW,即完成了该微网的最优能量管理。Figure 5 shows the optimal output power obtained by the consistency algorithm used in the model of the present invention. Through the analysis of Figure 5, it is found that the output power of each energy storage converges to the optimal output power within 11 seconds. The optimal output power of energy storage 1, energy storage 2, and energy storage 3 are P B.1 = 18.11kW, P B.2 = 17.61kW, and P B.3 = 30.7kW, respectively, which completes the optimal energy management of the microgrid.

图6为本发明模型采用的一致性算法对直流母线电压变化的控制。当微电网稳定运行后,在20s时减小80kW的直流负荷,在35s时增加100kW的交流负荷,得到的直流母线电压波形如图7所示。可以看出,在负荷出现波动后的5s内,改进的一致性算法能够响应并将波动的直流母线电压重新稳定至额定值。Figure 6 shows the control of the DC bus voltage change by the consistency algorithm used in the model of the present invention. When the microgrid is running stably, the DC load is reduced by 80kW at 20s, and the AC load is increased by 100kW at 35s. The DC bus voltage waveform is shown in Figure 7. It can be seen that within 5s after the load fluctuates, the improved consistency algorithm can respond and stabilize the fluctuating DC bus voltage to the rated value again.

图7为本发明模型采用的一致性算法对直流母线电压变化的控制与传统下垂控制方法的对比。通过对图7进行分析可以看出,本发明中提出的方法对稳定直流母线电压的效果较为显著。Figure 7 is a comparison between the control of DC bus voltage change by the consistency algorithm used in the model of the present invention and the traditional droop control method. By analyzing Figure 7, it can be seen that the method proposed in the present invention has a more significant effect on stabilizing the DC bus voltage.

表3为本发明模型采用的一致性算法与传统下垂控制方法得到的直流微电网运行成本。采用本发明设计的分布式一致性算法得到的直流微电网系统的运行成本比下垂方法控制的运行成本降低了13%。Table 3 shows the DC microgrid operating costs obtained by the consistency algorithm used in the model of the present invention and the traditional droop control method. The operating cost of the DC microgrid system obtained by the distributed consistency algorithm designed by the present invention is 13% lower than the operating cost of the droop control method.

可以看出,本发明模型提出的多智能体一致性算法有效的降低了直流微电网的运行成本,实现了在运行成本最低的基础上合理分配各单元输出功率,同时能够快速实现直流母线电压稳定及电网功率平衡的多目标控制。It can be seen that the multi-agent consensus algorithm proposed in the model of the present invention effectively reduces the operating cost of the DC microgrid, realizes the reasonable allocation of the output power of each unit on the basis of the lowest operating cost, and can quickly realize multi-objective control of DC bus voltage stability and grid power balance.

表3不同控制方法下的运行成本Table 3 Operating costs under different control methods

Figure BDA0002051622030000111
Figure BDA0002051622030000111

以上所述,仅为本发明的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到各种等效的修改或替换,这些修改或替换都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应以权利要求的保护范围为准。The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art can easily think of various equivalent modifications or substitutions within the technical scope disclosed by the present invention, and these modifications or substitutions should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention shall be based on the protection scope of the claims.

Claims (8)

1.一种直流微电网的分布式协调控制方法,其特征在于,包括以下步骤:1. A distributed coordinated control method for a DC microgrid, comprising the following steps: 步骤1:根据直流微电网系统中的分布式电源,结合供需平衡条件和容量限制,建立系统的总发电成本函数模型;Step 1: Based on the distributed power sources in the DC microgrid system, combined with the supply and demand balance conditions and capacity constraints, establish the total power generation cost function model of the system; 步骤2:各发电单元及其智能体控制器获取本地信息,并初始化;Step 2: Each power generation unit and its intelligent controller obtain local information and initialize; 步骤3:采用改进的多智能体一致性算法对发电成本函数求解,获得各单元的成本微增率和输出功率,同时稳定直流母线电压;Step 3: Use the improved multi-agent consensus algorithm to solve the power generation cost function, obtain the cost increment rate and output power of each unit, and stabilize the DC bus voltage; 步骤4:进行下一时刻的算法迭代,对获得的信息进行处理,最后输出最优功率;Step 4: Perform algorithm iteration at the next moment, process the obtained information, and finally output the optimal power; 步骤5:利用最优功率对直流微电网进行分布式协调调度控制;Step 5: Use the optimal power to perform distributed coordinated dispatching control on the DC microgrid; 所述步骤3中的多智能体一致性算法的算法改进包括定义辅助变量并进一步定义储能单元的输出功率和引入电压稳定函数并进一步设置修改后的一致性协议;The algorithm improvement of the multi-agent consensus algorithm in step 3 includes defining auxiliary variables and further defining the output power of the energy storage unit and introducing a voltage stability function and further setting a modified consensus protocol; 所述的修改后的一致性协议,其描述公式为:The modified consistency protocol is described as follows:
Figure FDA0004039572450000011
Figure FDA0004039572450000011
式中,L表示拉普拉斯矩阵,
Figure FDA0004039572450000012
λ(t)为t时刻可控运行单元成本,
Figure FDA0004039572450000013
为t时刻可控运行单元成本的导数,ε为直流母线电压误差因子,Udc为直流母线电压的设定值,U为直流母线电压的实际值。
Where L represents the Laplace matrix,
Figure FDA0004039572450000012
λ(t) is the controllable operating unit cost at time t,
Figure FDA0004039572450000013
is the derivative of the controllable operation unit cost at time t, ε is the DC bus voltage error factor, U dc is the set value of the DC bus voltage, and U is the actual value of the DC bus voltage.
2.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤1中的总发电成本函数模型,其描述公式为:2. A distributed coordinated control method for a DC microgrid according to claim 1, characterized in that the total power generation cost function model in step 1 is described by the formula:
Figure FDA0004039572450000014
Figure FDA0004039572450000014
式中,PB.i为储能单元i的输出功率,SB为可控储能单元的集合,ai、bi、ci为相应的函数系数,i为自然数,Ci表示发电单元i的运行成本。Where P Bi is the output power of energy storage unit i, SB is the set of controllable energy storage units, a i , b i , c i are the corresponding function coefficients, i is a natural number, and C i represents the operating cost of power generation unit i.
3.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤1中的供需平衡条件,其描述公式为:3. A distributed coordinated control method for a DC microgrid according to claim 1, characterized in that the supply and demand balance condition in step 1 is described by the formula:
Figure FDA0004039572450000015
Figure FDA0004039572450000015
式中,PG为所有分布式发电单元的输出功率,SL为所有负荷单元的集合,PD.i为储能单元i的本地有功需求。Where PG is the output power of all distributed generation units, SL is the set of all load units, and PDi is the local active power demand of energy storage unit i.
4.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤1中的容量限制,其描述公式为:4. A distributed coordinated control method for a DC microgrid according to claim 1, characterized in that the capacity limitation in step 1 is described by the formula:
Figure FDA0004039572450000021
Figure FDA0004039572450000021
Figure FDA0004039572450000022
Figure FDA0004039572450000022
式中,
Figure FDA0004039572450000023
PB.i(k)、
Figure FDA0004039572450000024
分别对应为k时刻储能单元i的输出功率最小值、实际值和最大值,
Figure FDA0004039572450000025
SOCB.i(k)、
Figure FDA0004039572450000026
分别对应为k时刻储能单元i的剩余电量最小值、实际值和最大值。
In the formula,
Figure FDA0004039572450000023
P Bi (k),
Figure FDA0004039572450000024
They correspond to the minimum, actual and maximum output power of energy storage unit i at time k respectively.
Figure FDA0004039572450000025
SOC Bi (k),
Figure FDA0004039572450000026
They correspond to the minimum, actual and maximum remaining power of energy storage unit i at time k respectively.
5.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤2中的初始化的过程包括以下分步骤:5. The distributed coordinated control method of a DC microgrid according to claim 1, wherein the initialization process in step 2 comprises the following sub-steps: 步骤201:获取储能单元i智能体测量到的本地负荷信息和有功功率,获取各单元的成本微增率;Step 201: Obtain the local load information and active power measured by the energy storage unit i agent, and obtain the cost increment rate of each unit; 步骤202:根据拓扑图形成拉普拉斯矩阵和邻接矩阵。Step 202: Form a Laplacian matrix and an adjacency matrix according to the topological graph. 6.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述的储能单元的输出功率的计算公式为:6. The distributed coordinated control method of a DC microgrid according to claim 1, characterized in that the calculation formula of the output power of the energy storage unit is:
Figure FDA0004039572450000027
Figure FDA0004039572450000027
式中,aij表示智能体i和j之间的通信拓扑权重,Ni表示储能单元i的邻居单元集合,
Figure FDA0004039572450000028
Figure FDA0004039572450000029
分别表示t时刻智能体i和j的辅助变量,dic为储能单元i与其本地需求有功负荷之间的权重系数,PD.c表示与权重系数对应的本地有功需求。
In the formula, aij represents the communication topology weight between agents i and j, Ni represents the set of neighboring units of energy storage unit i,
Figure FDA0004039572450000028
and
Figure FDA0004039572450000029
They represent the auxiliary variables of agents i and j at time t respectively, dic is the weight coefficient between energy storage unit i and its local required active load, and Pdc represents the local active demand corresponding to the weight coefficient.
7.根据权利要求1所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤4中对获得的信息进行处理包括以下分步骤:7. A distributed coordinated control method for a DC microgrid according to claim 1, characterized in that the processing of the obtained information in step 4 comprises the following sub-steps: 步骤401:当采用一致性算法后出现某个发电单元的输出功率超出其限定值时,修改输出功率的功率限值并设置可控储能单元的输出功率约束;Step 401: when the output power of a certain power generation unit exceeds its limit value after the consistency algorithm is adopted, modify the power limit of the output power and set the output power constraint of the controllable energy storage unit; 步骤402:当一致性算法迭代结束后,判断输出功率是否越限后根据可控储能单元的输出功率约束输出相应的有功功率。Step 402: After the consistency algorithm iteration is completed, it is determined whether the output power exceeds the limit and the corresponding active power is output according to the output power constraint of the controllable energy storage unit. 8.根据权利要求7所述的一种直流微电网的分布式协调控制方法,其特征在于,所述步骤401中的可控储能单元的输出功率约束,其具体描述公式为:8. A distributed coordinated control method for a DC microgrid according to claim 7, characterized in that the output power constraint of the controllable energy storage unit in step 401 is specifically described by the formula:
Figure FDA0004039572450000031
Figure FDA0004039572450000031
式中,λ*为最优增量成本,
Figure FDA0004039572450000032
Figure FDA0004039572450000033
分别为储能单元i的输出功率最小值和最大值。
Where λ * is the optimal incremental cost,
Figure FDA0004039572450000032
and
Figure FDA0004039572450000033
are the minimum and maximum output power of energy storage unit i respectively.
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