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Solution of lumped and distributed networks. Time-domain solutions, discretization and integration rules. Frequency-domain solutions, FFT and windowing techniques. Systems of linear equations, reduction and sparsity techniques. Nonlinear elements. Computer-aided simulation.
The course provides the background to understand the principles, capabilities, and limitations of circuit design programs like SPICE for electronic circuits and the EMTP for power systems. Topics include the discretization of differential equations, selection of step size Delta-t, solution bandwidth, numerical oscillations, propagation in transmission lines, frequency dependence, nonlinear elements, and network equivalents. Course evaluation is based on project assignments. Typically eight or nine assignments are given during the term. In the assignments, the students are asked to write their own computer programs to solve cases illustrating the techniques discussed in the lectures. The students are asked to compare the results from their own programs with those obtained running the MicroTran(R) software (EMTP). A limited version of MicroTran will be available to the students.