基于萤火虫优化算法的微网源—荷博弈模型及分析

A Game Model for DGs-Loads in Microgrid Based on Firefly Algorithm and Its Analysis

以实现微网负荷间利益最大化和微源容量配置经济高效为策略,提出基于萤火虫优化算法的微网源—荷博弈方法。首先,在充分考虑微源成本、微源容量、负荷成本、负荷用电量之间相互关系的基础上,建立了具有博弈关系的微源和负荷博弈模型,以及非合作和合作博弈下的目标函数。然后,设计了萤火虫优化算法在博弈迭代中的应用流程,利用吸引度和亮度参数对各博弈者的策略进行更新,实现了目标函数的最优。最后,提出利用收益微调系数和稳定指标进行搜索的改进Shapley值法,对合作后的收益进行重新分配,保证了合作全联盟的稳定性。通过对微源博弈者和负荷博弈者的收益分析,验证了所提博弈模型在负荷优化中的可行性,及萤火虫优化算法在求解博弈均衡解时的有效性。

To maximize the benefits among loads and to economically allocate the capacities of distributed generators(DGs),a game model for DGs-loads in microgrid based on the firefly algorithm(FA)is proposed.Firstly,the game model for DGs-loads as well as the objective functions under non-cooperative and cooperative games,is developed after careful consideration of the relationships between DGs costs,DGs capacities,loads costs and load electricity consumptions.Then,the application of FA in the game iterative process is designed.The parameters of attraction and brightness in FA are applied to update the game strategy for optimizing the objective functions.Finally,the improved Shapley method is proposed to redistribute the total income in order to ensure the stability of cooperation.The two coefficients income fine-tuning coefficient and stability index are presented to find the optimal distribution solution.The feasibility of the game model in load optimization and effectiveness of FA in solving game equilibrium are validated through an analysis of benefits between DGs and loads.