A performance comparison of static VAr compensator based on Goertzel and FFT algorithm and experimental validation

Area of Science:

• Electrical Engineering
• Power Systems Analysis

Background:

• Traditional methods for power component calculation often rely on Fast Fourier Transformation (FFT), which can be computationally intensive.
• Accurate measurement of power parameters is crucial for effective power factor correction, especially in systems with non-sinusoidal waveforms.

Purpose of the Study:

• To introduce a new approach for measuring and calculating fundamental power components (active, reactive, apparent power, and power factor) in distorted waveforms.
• To utilize the Goertzel algorithm as an alternative to FFT for minimizing computational load and trigonometric equations.
• To apply the new measurement technique to a static VAr compensation system for accurate power factor correction.

Main Methods:

• The Goertzel algorithm was employed for the measurement and calculation of fundamental power components.
• The developed technique was applied to a fixed capacitor-thyristor controlled reactor (TCR) based static VAr compensation system.
• Both simulation and experimental implementations were conducted to validate the proposed method.

Main Results:

• The Goertzel algorithm successfully calculated fundamental power components for various distorted waveforms.
• The new technique enabled accurate power factor correction in the static VAr compensation system.
• The Goertzel algorithm demonstrated a reduced computational load compared to traditional FFT methods.

Conclusions:

• The Goertzel algorithm provides an efficient and accurate method for calculating power components in distorted waveforms.
• The proposed technique enhances the performance of static VAr compensation systems by achieving precise power factor correction.
• This study validates the practical applicability of the Goertzel algorithm in power system analysis and control.