On the Convergence Characteristics and Uniqueness of Solution of a New Load Flow Method

Abstract

Recently there has been some interest in second order load flow techniques. This paper presents a study of the convergence characteristics of the new second order load flow technique in rectangular co-ordinates proposed by the authors. This study is made by comparing the convergence characteristics of the new model with that of other known techniques. Such a comparison has been made possible by restating most of the common load flow methods, as methods of successive approximation schemes with similar iteration functions. It is observed that most of the common load flow algorithms can be treated as different approximations of the Newton Raphson method and the iterates generated by the new algorithm are same as those generated by the Newton Raphson method with a fixed Jacobian, starting with the same intial point. Hence some observations about the conditions for convergence and uniqueness of solution for the Newton Raphson method are also made. A few numerical results are presented.