Optimization problem: grid with two passive filters and an active power filter

In this Master thesis document, there is an analysis on how to find the optimal values for a hybrid filter consisting of both two passive filters (series of R, L and C components) and an active power filter (APF), and comply with the harmonic content in the grid, according to the standard IEEE 519-2022 and with other constraints arbitrarily chosen. The solution is found using the Matlab solver fmincon, with the optimization tool MultiStart. The solution given out respects all the standards and the constraints imposed if the algorithm used by the solver fmincon is the sequential quadratic programming (SQP). The solutions are verified through analytical equations. In the end, a sensitivity analysis is conducted and the differences between the system without and with filters are shown. Overall, this thesis contributes to the understanding of hybrid filter optimization and its impact on grid harmonics.