Introduction.- Comparisons among TCLC-HAPF and Other Different Power Quality Filters.- Mitigation of the Harmonic Injection in TCLC Part and Nonlinear Hysteresis PWM Control in Active Inverter Part of TCLC-HAPF.- Modeling and Parameter Design Method of TCLC-HAPF for Balanced/Unbalanced Loading Compensation.- Unbalanced Control Strategy for TCLC-HAPF.- Minimizing Inverter Capacity Design and Comparative Performance Evaluation of FC-TCR-HAPF and TCLC-HAPF.- An Adaptive DC-link voltage Control of TCLC-HAPF.- Selective Compensation of Distortion, Unbalanced and Reactive Power of TCLC-HAPF.- Implementation of An 110V-5kVA Three-phase Three-Wire TCLC-HAPF Experimental Prototype.- Conclusions and Prospective for Further Work.