Sneak circuit phenomena of a variety of power electronic converters were introduced in Chapters 2–5, but most sneak circuit phenomena have been found by experiments or experience. As the power electronic converter contains some switching components, which are switched between on-state and off-state at a high frequency according to certain control rules, the power electronic system is different from conventional electric or electrical systems, and the existing SCA methods cannot be applied to power electronic converters directly. Therefore, a sneak circuit path analysis method, which is suitable for power electronic converters, is required. In this chapter, the topology of a power electronic converter is transferred to a graph based on graph theory, then by using concepts such as the adjacency matrix, connection matrix, and switching Boolean matrix, all of the current paths including the sneak circuit paths existing in the power electronic converter can be found.

In this section, some basic concepts on graph theory, which are useful in sneak circuit path analysis of the power electronic converter, will be briefly introduced based on references [1, 2].

Abstract graph , or graph *G* for short, is composed of sets *V* and *E*. The elements of the finite ...

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