Order reduction of the dynamic model of a linear weakly periodic system Part I: general methodology

Summary form only given. A methodology is presented for the order reduction of the dynamic model of a linear weakly periodic system obtained by linearization about the nonsinusoidal periodic steady state. It consists of two stages. First the time invariant part of the original full order system is approximated by a reduced system by using SVD techniques. Then the time-varying part of the reduced system is calculated by using a Gauss-Seidel technique. The issues of sparsity, convergence, and accuracy are analyzed. The example used for illustration serves to demonstrate the efficiency of the new method