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In this work, the performance of a microring add-drop filter is investigated using the generalized multipole technique. The complete scattering parameters of the structure are computed using an efficient port solver based on the generalized multipole technique, which avoids spurious reflections at the terminations. The scattering parameters of a number of structures are calculated and compared with those obtained using the FDTD and coupled-mode theory methods. The generalized multipole method can advantageously take dielectric losses of the microring into account. Moreover, the total power loss including radiation and the dielectric losses is computed for a microring add-drop filter, for the first time.