关于电力报价系统的电力分配与结算问题  

A Problem on Electricity Distribution and Payment Related to Electricity Bidding Price System

作　　者：丘小玲[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《运筹学学报》2010年第2期87-94,共8页Operations Research Transactions

基　　金：贵州大学青年科学基金2007004

摘　　要：本文建立了电能交易的平衡方程,在电能交易必须满足供求平衡的条件下,证明了市场出清价格的存在性和唯一性,讨论了市场出清价和收益函数关于报价函数的连续性,并利用Schauder不动点定理证明了各电能交易商的收益存在Nash平衡点,指出按照市场出清价格与各发电商进行结算可以实现Pareto最优.This article is to set up the ambulant equation of electricity supply and demand on the basis of electric exchange centres; and then proves the existence, uniqueness of the clearing price, discusses the continuity of clearing price and profits functions about price function, finally demonstrates the existence theorem of Nash equilibria in different power plants＇ profits according to the theory of Schauder fixed points. The payment on clearing price may realize the economic Pareto optimizing.

关 键 词：运筹学 电力报价系统 平衡方程 报价函数 NASH平衡点 SCHAUDER不动点定理 

分 类 号：O175.1[理学—数学]