<p>This article presents an equivalent “URC” model for the repeated-frequency capacitor charging power system (CCPS) based on a pulsed homopolar inductor alternator (HIA). In this context, “U” denotes the voltage source, “R” represents the series equivalent resistance, and “C” signifies capacitance. This model is more concise than the average-value model and fundamentally captures the impact of various parameters on charging performance. It facilitates the derivation of waveforms for charge voltage and current through waveform transformation, enabling rapid evaluation of system charging performance. Additionally, it aids in CCPS design by allowing quick and analytical assessment of whether HIA parameters meet CCPS requirements, thereby guiding efficient optimization of pulsed power system designs. The factors influencing system charging performance are analyzed, with validation provided through circuit simulations and experimental results. Initially, theoretical analysis based on the "URC" model explores relationships among charge current, charge voltage, charge time, and key influencing factors such as EMF amplitude, electrical frequency, equivalent internal inductance, and capacitance. Subsequently, valve-by-valve circuit simulations and experiments are conducted to verify these relationships. Furthermore, applications involving waveform derivation for charge voltage and current are also substantiated through valve-by-valve circuit simulations and experiments. The outcomes from both circuit simulation and experimentation align consistently with predictions made by the "URC" model.</p>