一种基于Alvarado电力市场模型的参数稳定区间

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• 英文论文题名：A Method of Expanding the Parameters Stable Interval Based on the Power Market Model by Alvarado
• 论文作者：冯乐 ; 刘向杰
• 英文论文作者：Le Feng ; Xiangjie Liu ; The State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources ; North China Electric Power University
• 年：2017
• 作者机构：华北电力大学新能源电力系统国家重点实验室;
• 论文关键词：电力市场模型 ; 微分方程 ; 区间稳定 ; 线性矩阵不等式
• 英文论文关键词：power market model ; differential equation ; interval stability ; linear matrix inequality
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：中文
• 分类号：F407.61;O29
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：469k
• 原文格式：D
• 会议级别：全国

摘要

在Alvarado提出的电力市场动态模型的基础上,考虑需求方和供应方需求弹性的不确定性,利用区间动力系统的相关理论,建立电力市场区间模型,给出了各需求弹性区间稳定的判定条件,然后利用矩阵区间稳定性理论,运用线性矩阵不等式的工具,将需求弹性稳定区间扩大.同时给出了具体的定理及求解算法.以电力市场具体数据为例进行分析,结果表明,在模型稳定的基础上,通过本文得到了更大的需求弹性区间,为更好地控制电力市场稳定性提供了理论依据.
On the basis of dynamic model of power market proposed by Alvarado, the uncertainty of demand elasticity is considered. The power market interval model is proposed with the theory of interval dynamical systems. The determination condition for the interval stability of demand elasticity is presented. The stable interval of demand elasticity can be expanded using the linear matrix inequality tools with the stability theory about interval matrices. The details of theorem and algorithm are introduced. Based on power market example, we obtain a wider demand elasticity stable interval. The result provides theory basis for controlling the power market stability.

引文

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