Abstract
Shunt active power filter (SAPF) belongs to the class of custom power devices (CPDs) and offers compensation to harmonics originated owing to customer side nonlinear loads, reactive power and unbalance in the distribution power networks functioning in current control mode (CCM). The performance of a SAPF as a harmonic compensator entirely relies on the control technique i.e. the precise detection of the harmonic current components of load that are necessary to be compensated. In the present work, a 3-phase SAPF, inspired by a Lyapunov function based control approach, has been designed for compensation of harmonics resulted in the feeder current owing to the customer side nonlinearity. A control law is determined in the proposed strategy which makes the derivative of the Lyapunov function consistently a negative one for an entire set of stable states. The DC-link capacitor voltage is regulated at constant reference through the proportional-integral (PI) controller. In this method rating of the shunt active power filter is considerably reduced than the other two broadly employed conventional methods. Furthermore, the harmonic compensation efficacy of the proposed Lyapunov function based SAPF is compared with the one based on other two conventional approaches under four different system scenarios namely a simple nonlinear load with and without utility side voltage distortion, a modified IEEE 13 bus test distribution system loaded with a 3-phase chopper fed direct current (DC) motor drive at a single bus and last especially for increasing the harmonic-constrained penetration level of renewable energy. Results obtained through simulation performed in MATLAB/Simulink shows that total harmonic distortion (THD) of source current and dynamic, as well as steady-state performance with Lyapunov function based controller, is significantly improved than the other two conventional methods. Also, the robust compensation performance of the SAPF empowers it to deal with the high penetration of renewable energy.
Highlights
Without a doubt the contemporary distribution power systems (DPS) tolerate high harmonic voltage and current distortions because of the intensified deployment of powerThe associate editor coordinating the review of this manuscript and approving it for publication was Haiquan Zhao .electronics-based load equipment with nonlinear characteristics and analogous practices are being monitored at each of the DPS buses, for that reason, the notion of the standard and linear DPS has gone a quixotic one
Harmonic distortion in either voltage or current or both is irrefutably destructive to the DPS and this fact can be justified by life diminishing of distribution cables via harmonic de-rating, the unwarranted occurrence of power loss, false functioning of consumer appliances and industrial drives and and most importantly communication interference [3], [4]
Simulations are performed under various load condition such as a simple nonlinear load with and without utility side voltage distortion, a modified IEEE 13 bus test distribution system loaded with a 3-phase chopper fed direct current (DC) motor drive at a single bus and last especially for increasing the harmonic-constrained penetration level of renewable energy
Summary
Without a doubt the contemporary distribution power systems (DPS) tolerate high harmonic voltage and current distortions because of the intensified deployment of power. M. Bajaj et al.: Lyapunov-Function Based Controller for 3-Phase SAPF of the harmonic pollution concerns arisen in the distribution power network is as a consequence of the nonlinear nature of loads. The theory of p-q uses voltage signals to measure instantaneous active and reactive forces, any distortion and voltage imbalance will result in an incorrect measurement of reference source currents that should contain only the actual basic load current frequency portion and LPF used to filter the active power signal will cause compensation delay. Simulations are performed under various load condition such as a simple nonlinear load with and without utility side voltage distortion, a modified IEEE 13 bus test distribution system loaded with a 3-phase chopper fed direct current (DC) motor drive at a single bus and last especially for increasing the harmonic-constrained penetration level of renewable energy.
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