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A New Step-Up Watkins-Johnson Type Converter

A new step-up Watkins-Johnson (W-J) type converter is derived and analyzed in this paper. Starting from the origin of the converter, the new topology is derived using cell rotation, then the calculation of the static conversion ratio along with dc inductor currents and capacitor voltages, the small signal analysis and the deduction of the control-to-output and audiosusceptibility transfer functions are performed. Knowing that the new converter operates with a duty cycle less than 0.5, all mathematical equations are derived along with computer simulations. The simulation results fully verify the theoretical considerations and validate the feasibility of the proposed topology.