Abstract

Direct sparse Linear System Solvers (LSS) are used routinely in power system analysis functions. In fact, it is almost impossible to develop a program for a large scale system without being equipped with a linear system solver that can handle a large sparse coefficient matrix. An exception is Gauss Seidel method for Load Flow Analysis Program. The primary objective of this chapter is to introduce a direct sparse LSS and bring out the design issues. The emphasis is on specific requirements of power system applications like load flow analysis, OPF, short circuit analysis. We begin with Gaussian Elimination, the basic direct method for solving a linear system of equations. We presume that the coefficient matrix is both full rank and square (non-singular) and the diagonal pivots remain non-zero.

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