开放电力市场环境下多群体非对称演化博弈的均衡稳定性典型场景分析  

Typical Scenario Analysis of Equilibrium Stability of Multi-group Asymmetric Evolutionary Games in the Open and Ever-growing Electricity Market

作　　者：程乐峰 余涛[1] CHENG Lefeng;YU Tao(School of Electric Power,South China University of Technology,Guangzhou 510641,Guangdong Province,China)

机构地区：[1]华南理工大学电力学院

出　　处：《中国电机工程学报》2018年第19期5687-5703,共17页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51177055,51777078)~~

摘　　要：该文讨论了能源互联网背景下日益复杂的开放电力市场（electricity market,EM）中典型场景下的多群体非对称演化博弈（asymmetric evolutionary game,AEG）的均衡稳定性问题。基于复制者动态和李雅普诺夫稳定性理论,首先,以发电侧EM中两类企业参与电价竞价为例,讨论了较为简单的同方两群体AEG的均衡稳定性（渐进稳定性）。进一步地,将其扩展到由电网企业、新增供电实体和电力消费用户等不同群体参与EM电价交易的三方AEG中来,讨论了该系统在不同博弈态势下的均衡稳定性及其影响因素,同时给出了电网企业群体完整的动力学行为特性分析。最后,以新能源发电企业、传统化石能源发电企业和电网企业组成“新体–旧体–电网”三方参与EM新能源消纳为场景进行了实际应用分析,验证了该文对EM典型场景下多群体AEG的均衡稳定性分析的有效性和实用性。This paper discussed how to apply the equilibrium stability of multi-group asymmetric evolutionary game （AEG） in some typical scenarios of an ever-growing and open electricity market （EM） in the context of Energy Internet. Firstly, the equilibrium stability of a simple unilateral two-group AEG was analyzed by using replicator dynamics and Lyapunov stability theory, based on the assumed scenario that two types of enterprises belonging to one party participate in electricity price bidding in generation-side EM. Further, this game was extended to an AEG of three different parties, in which power grid enterprises, new power supply entities and electricity consumers were chosen as trilateral game objects participating in electricity trading of demand-side EM. The equilibrium stability of this system under different game situations, as well as the factors affecting system stability were discussed. Besides, complete dynamics behavior characteristics of PGE were analyzed. Lastly, the new energy absorption in EM as a trilateral AEG scenario was taken for practical application analysis, by which the validity and usefulness of this paper on equilibrium stability analysis of multi-group AEG in typical scenarios of EM were verified.

关 键 词：电力市场 非对称演化博弈 多群体演化稳定策略 复制者动态 均衡稳定性 典型场景分析 

分 类 号：TM711[电气工程—电力系统及自动化]