摘要
首次把实用稳定性的理论用于电力市场稳定性的研究中.结合Alvarado提出的电力市场动态模型,利用微分代数方程与特征值技术,从理论上研究电力市场的实用稳定性,并且给出了判断电力市场实用稳定、一致实用稳定和实用渐近稳定性的充分条件.利用这些实用稳定性条件,对于Alvarado给出的数值算例,可方便地利用初始数据判断电力市场模型的实用稳定性,并通过实例提供了假设模型中某个参数在电力市场变化中起主要作用,如何控制电力市场模型实用稳定性的方法.最后利用Maple软件包给出了参数变化引起模型实用稳定和不稳定的图形演示.
This paper first uses the theory of practical stability to study the electricity market stability. Based on the dynamic model of electricity market proposed by Alvarado, uses differential-algebraic equations and eigenvalue techniques from the theoretical to study the practical stability of the electricity markets. And gives the sufficient conditions of judging electricity market practical stability, practical asymptotic stability and consistency practical stability. For the numerical example of Alvarado, can judge the practical stability of electricity market model facilitate using of the initial data. In addition, providing examples of the model assumptions in the parameters of the electricity market play a major role in the changes, how to control the practical stability of electricity market model. Finally gives some description of electricity market dynamic model stability and unstability changing in model parameters by Maple software bag.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第4期54-61,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(70773039)
高等学校学科创新引智计划项目(B08013)
教育部科学技术研究重点项目(107030)
关键词
电力工程
电力市场
微分代数方程(DAE)
实用稳定性
实用渐近稳定性
Maple软件包
electric power engineering
electricity market
differential-algebraic equation（DAE）
practical stability
practical asymptotic stability
Maple software bag
