The C-type filter is widely applied in harmonic suppression. As an approximate formula of tuning frequency is used in C-type filter design, the calculated tuning frequency has a deviation. Therefore, an accurate C-type filter tuning frequency formula is derived. In this paper, we find that the tuning frequency of the C-type filter may not exist and reveal the existence conditions. Different from single-tuned filters, the best filtering frequency of C-type filters is not the tuning frequency. However, because the best filtering frequency can hardly be obtained by solving the derivative zeros of the equivalent impedance equation, the tuning frequency is still regarded as the best filtering frequency. The C-type filters do not have the best filtering performance for the above reasons. Therefore, by introducing the critial best filtering frequency and the limit best filtering frequency, an equation between the best filtering frequency and capacitor ratio parameter is established, which can avoid solving the derivative zeros. Finally, two C-type filter design schemes based on the best filtering frequency are proposed, and the superiority of the schemes is verified based on the IEEE-14 bus test system.
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