General Unified Dynamic Phasor

Very often the dynamics of AC circuits such as AC power converters, AC power circuits (filters, power lines, etc.), AC motors, and inductive power transfer (IPT) systems should be identified to design the main circuit and controller. In this chapter, phasor transformation theory applied to the static analysis of linear AC converters is extended to the dynamic analysis of linear AC converters. A complex Laplace transformation is adopted for the dynamic analysis of phasor transformed AC converters. It is rigorously verified by mathematics and simulations that any linear AC converter dynamics can be completely explored by the proposed complex Laplace transformation together with the conventional phasor transformation. This ???unified general dynamic phasor??? is a good analytical tool for IPT dynamics study.This chapter is based on the paper by C.B. Park, S.W. Lee, and C.T. Rim, ???Static and dynamic analyses of three???phase rectifier with LC input filter by Laplace phasor transformation,??? in IEEE ECCE 2012 , September 2012, pp. 1570???1577.

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