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A Distributed Algorithm for Solving Cournot Equilibrium Model of Electricity Markets

机译：电力市场古诺均衡模型的分布式算法

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摘要

Due to information asymmetry in practical electricity markets, it is hard to collect private information of all market participants. As such, the distributed algorithm instead of the centralized algorithm has valuable potentials in solving equilibrium problems as it does not need complete information. In this paper, a Cournot model for the day-ahead wholesale electricity market (DAWEM) is proposed, while considering strategic bidding competition and bilateral contract transactions. Then, based on the equivalence of the optimality condition (Kuhn-Karesh-Tucker condition), the Cournot equilibrium model is converted into an optimization model. A distributed algorithm is applied to solve the optimization model and achieve equilibrium outcomes. Moreover, the existence and uniqueness of the Nash equilibrium for the DAWEM are theoretically demonstrated. Finally, numerical examples are presented to verity the effectiveness of the algorithm.
机译：由于实际电力市场中的信息不对称，很难收集所有市场参与者的私人信息。这样，分布式算法而不是集中式算法在解决均衡问题方面具有宝贵的潜力，因为它不需要完整的信息。本文提出了一种针对日前批发电力市场（DAWEM）的古诺模型，同时考虑了战略招标竞争和双边合同交易。然后，基于最佳条件的等价性（库恩-卡列什-塔克条件），将古诺均衡模型转换为优化模型。应用分布式算法求解优化模型并达到平衡结果。此外，从理论上证明了DAWEM纳什均衡的存在性和唯一性。最后，通过数值算例验证了算法的有效性。

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