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Explicit solution for transcendental equation in power electronics applications

This work presents a method to formulate an explicit solution for roots of analytic transcendental equation applied in power electronics circuits. Transcendental equations are extensively used in power electronics modeling and the solution normally adopts numerical approaches. Sometimes the solution is presented by means of graphics or abacus. In this paper a Cauchy's integral theorem based method is presented using only basic concepts of complex integration. This method can be easily applied in mathematical software's or programmable calculators given an exact solution for the problem.