  Several difficulties will appear when typical electromagnetic transient
simulation, using the implicit trapezoidal method and fixed step sizes, is
applied to power systems with switching behaviors. These difficulties are
addressed by different aspects of time stepping schemes in the literature. This
paper first details the different aspects and reviews corresponding methods.
Some misunderstanding in the literature is clarified. Issues that may be
encountered by the existing methods are concurrently revealed. Based on the
detailed review, the paper then puts forward a novel time stepping scheme which
fully addresses the difficulties. The effectiveness of the proposed scheme is
demonstrated via numerical case studies.
