Comparison of simulation algorithms for accelerated determination of periodic steady state of switched networks

This paper presents a comparison of the following algorithms for accelerated determination of periodic steady state of switched networks: Newtonʹs method with analytically determined Jacobian; Newtonʹs method with numerically determined Jacobian; Newtonʹs method with Broyden updates of an initial numerically determined Jacobian; Newtonʹs method with a globally convergent strategy (and numerical Jacobian); Bukowskiʹs method; and Skelboeʹs method. Each algorithm is incorporated into a very accurate power electronicsʹ simulator (PECS) at source-code level and compared on a common basis. The results on several switching converters suggest the analytical Newtonʹs method to be the most accurate and fastest. When analytical derivatives are not available, both Broydenʹs and Skelboeʹs methods are competitive.