Variational Methods for Equilibrium Problems Applied to Electricity Markets
研究多阶段随机框架下电力市场的经济均衡问题，考虑发电公司的风险态度，通过拟变分不等式证明均衡解的存在性。
Abstract This paper focuses on the study of an economic equilibrium problem for an electricity market model in a multistage-stochastic framework, where,stage by stage, the uncertainty evolves with continuity. We analyze the point of view of a finite number of power companies in a sequence of competitive markets.Each of them produces electricity, both with conventional and renewable-based plants, participates in the trade in the spot markets that open after the uncertainty is revealed, and signs bilateral and forward contracts. Moreover, we capture the risk attitude of each power company by considering a suitable coherent risk measure in the problem’s formulation. In order to prove the existence of at least one equilibrium solution, we introduce a suitable quasi-variational inequality formulation. In this light, we also investigate suitable regularity properties of the involved superdifferential operator in the presence of certain parameter perturbations in Banach spaces.