This work proposes a novel method for modeling and simulation of a proportional–integral–derivative-controlled second and third-order phase-locked loop. The system is implemented by inserting a proportional–integral–derivative control block into the phase-locked loop in place of a low-pass filter in the loop. The system transfer functions for both proportional–integral–derivative-controlled phase-locked loop and phase-locked loop with loop filters are derived in s-domain, and simulation has been performed on MATLAB platform to study the stability, phase margin, bandwidth, and settling time of the system for both cases. The simulation results show that the proportional-integral-derivative -controlled phase-locked loop reduced the settling time, and the minimum settling time is recorded to be 0.062 ps.

Two low-voltage converters are connected in such a way that one converter is connected back to the other converter back side with DC capacitor. Such an arrangement of low-voltage converters is called unified power quality conditioner (UPQC). The UPQC is categorized on the basis of sharing of active and reactive power through series converter to inject voltage. When series converter of the UPQC uses active power to enhance voltage quality, the UPQC is called as UPQC-P; when series converters of the UPQC use reactive power to enhance the voltage quality, the UPQC is called as UPQC-Q. And when series converter of the UPQC uses complex power to enhance voltage quality, it is called as UPQC-S. These kinds of UPQC depend on controller of gate firing of the UPQC. These control approaches have been verified on MATLAB platform.

The unified power quality conditioner (UPQC) has two IGBT-based converter names as series and shunt converter linked to DC voltage. In this work, a hybrid control algorithm is used for IGBT-based series converter of the UPQC. The incorporation of power angle controller (PAC) and the d-q transformation based algorithm is called as a hybrid control techniques. The PAC is incapable to suppress voltage harmonics; therefore, the d-q transformation based controller has been integrated with the PAC to eliminate the voltage harmonics of utility. Moreover, it compensates the reactive power and the voltage sag/swell. The symmetrical component (SC) theory based technique is employed for IGBT-based shunt converter to improve current profile. MATLAB model using mathematical concept is presented for the performance analysis of proposed techniques.