基于微分代数方程的电力市场模型的研究及应用  

Studies and application of electricity market model based on differential and algebra equation

作　　者：杨玉华[1] 严艳[1] 卢占会[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《电气传动自动化》2010年第3期10-12,共3页Electric Drive Automation

基　　金：河北省自然科学基金项目资助项目(B2008000572)

摘　　要：结合Alvarado提出的电力市场动态模型,利用特征值技术与不等式相结合的方法从理论上讨论了电力市场在Lyapunov意义下的稳定性。首先将电力市场的数学模型转化,给出两个矩阵的和及两个矩阵之积的特征值与原矩阵特征值的关系;再利用这些不等式给出了直接利用模型系数判断电力市场稳定和不稳定的一系列充分条件。利用这些条件只需少量的计算即可判定电力市场的稳定,该方法简单易行,最后用实例进行了验证。Based on the dynamic model of electricity market proposed by Alvarado,the Lyapunov stability of electricity market by using methods of combining eigenvalue techniques and inequality of matrix is discussed.First,it takes model of electricity market into the form of sum for two matrixes and discuss relationship between eigenvalue of the sum and every one;then by using these results,a series of sufficient conditions using coefficient of models to determine the stability and the instability of electricity market are given.Under those sufficient conditions,the stability of electricity market models can be obtained by less symbolic computation.Finally some examples explaining stability and instability of electricity market are also given.

关 键 词：电力市场 微分代数方程(DAE) 特征值 不等式 LYAPUNOV稳定性 

分 类 号：TM732[电气工程—电力系统及自动化] O175.13[理学—数学]