In this chapter, an adaptive DC-link voltage controlled thyristor controlled LC-coupling hybrid active power filter (TCLC-HAPF) is proposed for reducing switching loss, switching noise and enhancing the compensating performance. Unfortunately, the TCLC-HAPF has both controllable active TCLC part and active inverter part, thus the conventional minimum DC-link voltage calculation methods for active power filter (APF) and LC-coupling hybrid active power filter (LC-HAPF) cannot be directly applied to the TCLC-HAPF. Moreover, the aforementioned DC-link voltage calculation methods were developed based on the Fast Fourier Transform (FFT), which makes the calculation complex. This chapter also presents a simplified minimum DC-link voltage calculation method for TCLC-HAPF reactive power and current harmonics compensation, which can significantly reduce the large amount of the calculation steps by using the FFT method. After that, an adaptive DC-link voltage controller for the TCLC-HAPF is developed to dynamically keep its operating at its minimum DC-link voltage level to reducing its switching loss and switching noise. Finally, representative simulation and experimental results are given to verify the proposed simplified DC-link voltage calculation method and the adaptive DC-link voltage control method of TCLC-HAPF.