Simple And Direct Technique For Computing The Sensitivity Matrix In A Periodic Steady-State Problem
Original Publication Date: 1979-Dec-01
Included in the Prior Art Database: 2005-Feb-20
The state-of-the-art method by which linear sensitivity circuits have been used to evaluate the sensitivity matrix, (Image Omitted) is a lengthy method. The sensitivity matrix is used in the computation of the Jacobian of f(x(0)) = X(0) - X(T) = 0 (T being the period) in a periodic steady state problem. It is shown here, however, that the sensitivity matrix can be obtained from the solution of a linear homogeneous matrix equation which is simply derived by differentiating the state equations or a mixture of algebraic - differential equations arising from any formulation. This simplification makes the method easier and more practical to implement in a general purpose Computer Aided Design program.