NONLINEAR CONTROL OF DIFFERENTIAL ALGEBRAIC MODEL IN POWER SYSTEMS

In this paper,the theory and method of feedback linearization technique of controlling differential algebraic system are first presented.Some new definitions of M derivative, M bracket and etc.to differential algebraic systems are given,which is similar to the definitions and theorems in classical differential geometry theory,a series of new result to differential algebraic system control is given,which extend further the applied scope of nonlinear control system geometry theory.Because many power systems are modeled by differential algebraic model,and the loads of power systems are frequently the nonlinear expression of voltage and frequency,in addition,there are many problem of optimal control in practical engineering,these control problem above can be solved by using the M derivative, M bracket and so on.The designs of nonlinear excitation control of power systems with nonlinear loads can be applied by the feedback linearization technique of controlling differential algebraic systems,which make the differential geometry methods get more extensive application in the study of power system control.