A comparison of steady state methods for power electronic circuits

This paper presents a comparison of the following steady state methods for power electronics: Newton's method with analytically determined Jacobian, Newton's method with numerically determined Jacobian, Newton's method with Broyden updates of an initial numerically determined Jacobian, Newton's method with a globally convergent strategy (and numerical Jacobian), Bukowski's method and Skelboe's method. Each algorithm is incorporated into a very accurate power electronics' simulator (PECS) at source-code level and compared on a common basis. The results on several switching converters suggest the analytical Newton's method to be the most accurate and fastest. When analytical derivatives are not available, both Broyden's and Skelboe's methods are competitive.