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In many pulsed power applications, high voltage and high frequency square pulses are needed. Traditional Marx type modulators based on solid-state switches often couldn't meet the requirements, especially on frequency and waveform. To solve the problems, a novel solid-state pulsed power modulator based on charging and driving by magnetic ring transformers is introduced in this paper. In order to obtain pulses with steep voltage edges on various kinds of loads, half bridges formed by MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor) switches are used in the modulator. The usage of magnetic rings makes the stray capacitance become one of the most important aspects to distort the output voltage waveforms. The effect of stray parameters on output waveforms is analyzed in detail in this paper. According to the analysis, this paper deals with a design of the pulsed power modulator with isolated recharge for dielectric barrier discharge (DBD) research, In order to design much more suitable pulse modulators, some methods are described to reduce the influence of the stray parameters.