Direct approach in computing robust Nash strategies for generating companies in electricity markets

作者：Langary Damoun; Sadati Nasser^*; Ranjbar Ali Mohammad

来源：International Journal of Electrical Power & Energy Systems, 2014, 54: 442-453.

DOI：10.1016/j.ijepes.2013.07.031

• Game theory
• Supply function equilibrium (SFE)
• Strategic bidding
• Nash equilibrium (NE)
• Electricity market

Supply function equilibrium (SFE) is often used to describe the behavior of generating companies in electricity markets. However, comprehensive analytical description of supply function models is rarely available in the literature. In this paper, using some analytical calculations, a novel direct approach is proposed to compute the Nash equilibrium (NE) of the supply function model under uniform marginal pricing mechanism. An explicit mathematical proof for its existence and uniqueness is also presented. The proposed methodology is then generalized to accommodate practical market constraints. In addition, a new concept of robust NE is introduced and calculated based on this approach. Finally, numerical simulations demonstrate the applicability and effectiveness of the proposed solution scheme.

• 出版日期2014-1