Abstract
A brief survey is given on the conventional methods of analyzing a Cockcroft-Walton (CW) circuit. It shows that these methods are not suitable for analyzing the surge and ripple performance. Thus this paper proposes a numerical approach to the CW circuits in electron microscopes (EM). In this approach, taking advantage of the cascade connection, we formulate the state equations of a CW circuit having arbitrary stages. The Gear's algorithm is used to solve the state equations numerically, overcoming the nonlinear stiff problem and obtaining accurate solutions effectively. As an example to confirm the effectiveness of the approach, we simulate the surge current and ripple voltage in the CW circuit for an ultra-High Voltage EM (ultra-HVEM) by using a supercomputer
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