A new single-loop method for steady-state analysis and design of networks with switching power converters

A common strategy for steady-state analysis of switching power converters has been to pose the analysis problem as a nonlinear boundary-value problem which can be solved using time-domain shooting methods. However, the resulting nonlinear equations for closed loop converters are, in general, ill-conditioned. The proposed method uses a new set of constraints which define the nonlinear boundary-value problem. This new mapping results in substantial convergence improvement and, in addition, it allows for computation of converter steady-state in a single Newton´s iteration loop. The problems of convergence failures due to the initial guess referred in the past are explained. The proposed method has been verified using several hard and soft-switching closed-loop converters.