电力市场超图决策优化模型及其求解方法

Electricity Market Hypergraph Decision Optimization Model and Its Solution Method

  • 摘要: 在建设全国统一电力市场体系的过程中,由于市场层次、交易类型及参与主体的多元化,主体间的策略相互影响、学习等交互关系演变成复杂的动态网络,部分主体行使市场力操纵市场价格提供了有利背景。为此,提出电力市场超图决策优化模型及其求解方法,以刻画交互网络并缓解市场主体操纵交易行为。首先,将能源主体视为节点,通过拆分主体申报容量构建超边,削弱其市场力。随后,基于“多数原则”进行超边报价决策,以超边报价代替主体申报价格参与出清计算。最终,以系统综合成本最小为目标求解电力市场最优超图(Optimal electricity market hypergraph, OEMH)。然而,随着节点数量增加,超图数量急剧增加,为此提出超图集中度指标(HHI of hypergraph, THI),以缩小求解范围并加快求解。通过设置基准负荷、轻负荷和高负荷三个场景进行仿真计算,结果表明,超边决策模型能够精确刻画交互网络的动态性,降低其复杂性,并显著减弱主体市场力;最优超图则具有最低的系统综合成本。

     

    Abstract: In the process of establishing a unified national electricity market system, the diversification of market levels, transaction types, and market agents has led to complex dynamic networks formed by interactions such as strategy influence and learning among agents. This provides a favorable backdrop for certain entities to exercise market power and manipulate market prices. To address this, an electricity market hypergraph decision model and its optimization method are proposed to describe the interaction network and mitigate market agents’ manipulative behaviors. Firstly, market agents are treated as nodes, and hyperedges are constructed by splitting the agents’ declared capacities to mitigate the market power of agents. Then, based on the “majority rule”, a hyperedge pricing decision is made, with hyperedge prices replacing individual agents’ declared prices in the market clearing process. Finally, the optimal electricity market hypergraph(OEMH) is determined to minimize the total system cost. However, as the number of nodes increases, the number of potential hypergraphs grows exponentially. To manage this complexity, the HHI of hypergraph(THI) to is introduced to narrow the solution space and accelerate the solving process. Simulation calculations are conducted under three scenarios: baseline load, light load, and high load. The results show that the hyperedge decision model can accurately depict the dynamic nature of the interaction network, reduce its complexity, and significantly weaken agents’ market power; the optimal hypergraph achieves the lowest total system cost.

     

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