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An analytic technique is presented for the calculation of both characteristic and uncharacteristic harmonics in voltage source converter circuits. The proposed technique accounts for all harmonic interaction between the AC and DC sides of the converter, and may thus also be employed for accurate DC side voltage ripple calculations. In contrast to simulation-based approaches or iterative methods, the proposed technique offers a closed form solution for the current harmonics, thereby avoiding numerical errors and convergence problems. The technique is applied to the harmonic analysis of a STATCOM.