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