基于交替乘子法与Shapley分配法的多微网联合经济调度

doi:10.12204/j.issn.1000-7229.2021.07.004

摘要/Abstract

摘要：

针对多微网联合经济调度下的多主体利益与系统优化调度矛盾,提出一种考虑动态交流潮流约束的分布式优化与涌现利益再分配的多微网联合经济调度模型。其中,采用交替方向乘子法将全局变量——联络线功率、微电网向主网的购售电功率转化为局部变量,在满足局部优化条件基础上,实现系统整体优化目标;并利用Shapley值法按各微电网主体对系统边际贡献进行涌现收益再分配,解决系统优化与个体利益冲突矛盾。IEEE 33节点系统仿真结果表明:所提模型能有效克服独立式和集中式优化存在的缺陷,明显提高区域系统经济性和本地风电、光伏的消纳利用率,并有降低通信负担和保护微电网主体运行隐私作用,同时有效解决了联盟成员涌现收益分配不公平的问题。

关键词: 多微网, 联络线功率交互, 交替方向乘子法, 动态交流潮流约束, Shapley值法

Abstract:

Aiming at the contradiction between multi-subject benefits and system optimal scheduling under multi-microgrid joint economic dispatch,this paper proposes a multi-microgrid joint economic dispatch model considering dynamic AC power flow constraints for distributed optimization and emerging benefit redistribution. The alternating direction multiplier method (ADMM) is used to convert the global variables such as tie-line power and the power traded between microgrid and the main network into local variables. The overall system optimization goal is achieved on the basis of satisfying the local optimization conditions. And Shapley value method is used to redistribute the emerging benefits according to the marginal contribution of each micro-network to the system,to solve the conflict between system optimization and individual interest. The simulation results of the IEEE 33-node system show that the proposed model can effectively overcome the defects of independent and centralized optimization, significantly improve the regional system economy and local wind and solar power consumption,reduce the communication burden and protect the operation privacy of the microgrid, effectively solve the problem of unfair distribution of emerging benefits among alliance members at the same time.

Key words: multi-microgrid, tie line power interaction, alternating direction multiplier method, dynamic AC power flow constraint, Shapley value method

中图分类号:

TM73

胡蓉, 魏震波, 黄宇涵, 都成, 卢炳文, 方涛. 基于交替乘子法与Shapley分配法的多微网联合经济调度[J]. 电力建设, 2021, 42(7): 28-38.

HU Rong, WEI Zhenbo, HUANG Yuhan, DU Cheng, LU Bingwen, FANG Tao. Multi-microgrid Joint Economic Dispatch Based on Alternating Multiplier Method and Shapley Distribution Method[J]. ELECTRIC POWER CONSTRUCTION, 2021, 42(7): 28-38.

图/表 14

图1 局部配电区域内的多微电网互联系统结构

Fig.1 Structure diagram of multi-microgrid interconnection system in local distribution area

图2 基于ADMM的分布式优化求解流程图

Fig.2 Flow chart of distributed optimization solution based on ADMM

图A1 IEEE33节点系统结构

Fig.A1 The structure of IEEE 33-node system

图A2 光伏出力预测值

Fig.A2 Predicted curve of photovoltaic power

图A3 风电出力预测值

Fig.A3 Predicted power curve of wind

图A4 日用负荷需求预测曲线

Fig.A4 Predicted power curve of daily load

表1 不同运行模式下各微电网的运行成本

Table 1 Comparison of operating costs of different microgrids under different strategies元

表2 各微电网的涌现收益与实际运行成本

Table 2 Emerging income and actual operating cost of sub-microgrid

图3 配电网节点的最小电压幅值(33个节点)

Fig.3 Minimum voltages of nodes (33-node tested)

图4 配电网支路的最大潮流(32条支路)

Fig.4 Maximum power flow of branches (32-branch tested)

图5 微电网间的电功率传输

Fig.5 Power transmission between microgrids

图6 微电网与配电网间的电能交易

Fig.6 Power trading between MG and distribution network

图A5 不同ρ值下原始和对偶残差的收敛曲线

Fig.A5 Evolutions of primal and dual residuals for different ρ

图A6 不同ρ值下微电网群的总成本收敛曲线

Fig.A6 Evolution of objective value for different ρ

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