An eigenvalue formulation for determining initial conditions of induction machines in dynamic power system simulations

Abstract

The problem of determining the initial conditions for induction machine variables in a non-linear dynamic power system analysis is posed as an eigenvalue problem. The eigenvalue formulation can then be solved using standard linear algebra techniques. This method has the advantage of determining all possible solutions for the internal variables rather than the single solution obtained from traditional iterative methods. Additionally, the method can easily determine when the problem has no solutions through the absence of non-zero real eigenvalues.