Study On Stability Domains And Its Application In Electricity Market Stability

This thesis we concentrated stability domains and its application in electricity market stability on the following three questiones: the first, by constructing the appropriate v function, the positive invariance properties and positive precompactness of a kind of nonlinear systems is proved, which is used to research the Lyapunov stability and the attractiveness, the criterion of the estimates of asymptotic stability domains is derived.The second: the result of practical stability domains is improved in the proceeding literature. And the result of Liapunov asymptotic stability domains is expanded to practical stability domains. The third: combining with the model of power system markets, firstly discussed practical stability and the estimates of practical stability domains of these models. In order to prove the effective- ness of conditions of the conclusion, paper uses Matlab to analysis the date of California electricity market. Testifing the conclusion we obtained was practicability and easily to operate.