A frequency adaptive control scheme for a three-phase shunt active power filter

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ORIGINAL PAPER

A frequency adaptive control scheme for a three-phase shunt active power filter Saad F. Al-Gahtani1

· R. M. Nelms2

Received: 5 May 2020 / Accepted: 31 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The propagation of nonlinear loads and distributed power generation systems can cause power quality problems such as harmonic distortion, system imbalance, and resonance problems. Shunt active power filters are used to eliminate these power quality problems. A recently proposed control scheme for a shunt active power filter utilized a time-domain transformation to extract positive and negative sequence components of the system voltages and currents. These components are used in a modified version of instantaneous reactive power theory to calculate the reference currents for a three-phase inverter. Changes in the system operating conditions can cause the system frequency to vary, which can impact the performance of the timedomain transformation. Proposed in this paper is a frequency adaptive control scheme to compensate for frequency variations. Several simulation and experimental tests have been performed to validate the operation of the proposed frequency adaptive control scheme. Keywords Shunt APF · IRPT · Frequency detection · Frequency adaptive control

1 Introduction Shunt active power filters (APFs) are used to remove problems of power quality, such as harmonics and unbalanced device conditions generated by nonlinear loads and distributed generation systems (DGs) [1]. Various control methods for a shunt APF were presented [1–7]. Output of the shunt APF depends on the control method of the reference current and the current controller responsible for generating the switching signals for a voltage-sourced inverter (VSI). Reference current control is responsible for determining the current compensating signal, which can be divided into two domain-based categories: time and frequency domains [8]. Frequency-domain approaches have low performance in transients, multiple calculations, substantial memory utilization and delay in the extraction of harmonics. The methods

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Saad F. Al-Gahtani [email protected] R. M. Nelms [email protected]

1

Electrical Engineering Department, King Khalid University, Abha, Saudi Arabia

2

Electrical and Computer Engineering Department, Auburn University, Auburn, AL, USA

for the time domain are less complicated than the methods for the frequency domain. Instantaneous reactive power theory (IRPT) and the synchronous reference frame system (SRF) are the most common time-domain control methods [1]. Various control methods are based on IRPT modification, including IRPT extension, optimal linear prediction theorem and dividing frequency theorem, respectively. A low-pass filter (LPF) or high-pass filter (HPF) is used in some control methods to remove the average or oscillating (harmonics) components of the real and reactive power [1, 7]. While the implementation of the LPF and the HPF is simple, it causes phase delays at the fundamental fre