Power system whole process dynamic simulation is such a method in which the electro-mechanical transient

medium- and long-term dynamic phenomena are organically unified. During the whole process of dynamic simulation

it is one of the key steps to solve sparse systems of linear equations composed of two kinds of equations: difference equations from dynamic equipment and algebraic equations from power network. Because of its very high order and large numbers of solving

the algorithm for fast solving is very important for this kind of dynamic simulation. This paper proposes a new method based on the block matrix for fast solving this linear equation and has developed an electric sparse solver (ESS). It first divides the sparse matrix into four big blocks. Many decoupled diagonal smaller blocks which are related to the equipment on buses in the power system are further divided from the largest diagonal block. Next

by utilizing the same structure among these small blocks

these diagonal blocks are symbolically and numerically LU factorized one by one. Finally

the equations are solved block by block using conventional forward and backward substitution. This algorithm has been implemented in a new linear system solver called ESS. The results from several linear equations in power system whole process dynamic simulations show that compared with other solvers

ESS can achieve higher computational efficiency

especially in the factorization phase.