The modified Paschen’s curve describes the gaseous breakdown potential (voltage) in microscale gaps, when deviations from the traditional Paschen’s curve occur [F. Paschen, Ann. Phys. 273, 69 (1889)]. The deviation is due to ion-enhanced field emission that occurs in the high electric field of microgaps and acts as an additional cathode electron source. The present work derives an analytical formulation for the effect of ion-enhanced field emission and the modified Paschen’s curve that uses a consistent, single breakdown criterion. The proposed model does not require the fitting factor required in prior models and constitutes a single analytical equation for microscale breakdown and the modified Paschen’s curve.
This paper proposes a new average model for DC-DC converters obtained using circuit-averaging techniques 111. The model is simple to derive and easy to implement in simulators (like PspiceTM ). It works in CCM and DCM and in the presence of ESR. It can be used for transient and small signal analysis
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