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A methodology is presented for the high-speed, steady state analysis of 4th-order LCLC resonant power converters. Both current-output and voltage-output variants are considered. State-variable dynamic descriptions of the circuits are derived and subsequently employed to rapidly determine the steady-state cyclic behaviour and the voltage and current characteristics of the resonant-tank and output-filter, and to estimate the voltage and current stresses on resonant components. Simulated and experimental results for two prototype 4th-order converters (inductive and capacitive output variants) confirm that the accuracy of the model is comparable with SPICE simulations, while requiring less than 10-4 of the computational time.