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A simple method is proposed for finding all solutions of piecewise-linear resistive circuits using integer programming. In this method, the problem of finding all solutions is formulated as a mixed integer programming problem, and it is solved by the Microsoft Excel solver, which is included in the most widely distributed and widely used spreadsheet Microsoft Excel. The proposed method can be implemented easily without writing complicated programs, and all solutions (all DC operating points or all characteristic curves) can be obtained using the familiar software Excel.
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Yamamura et al. (2016) studied this question.
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