Sensitivity analysis of differential-algebraic systems using the GMRES method-application to power systems

This paper outlines a technique which solves the sensitivity as well as the system equations in an efficient manner. Instead of solving the two sets of equations simultaneously, we propose integrating the system equations and then solving the sensitivity equations in a "staggered fashion", using the preconditioned Generalized Minimum Residual (GMRES) method. This reduces the computation time. The method is directly applicable to hybrid systems, of which power systems form an important application area.