Strategic capacitor placement in distribution systems by minimisation of harmonics amplification because of resonance

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Strategic capacitor placement in distribution systems by minimisation of harmonics amplification because of resonance

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The capacitor placement problem (CPP) has been widely studied throughout the years. However, traditional methodologies either do not consider non-linear loads in the formulations or are highly dependent on the spectrum of the harmonic currents. Therefore the traditional methodologies have become unsuitable for distribution system planning studies. The proposed approach formulates the CPP as a multi-objective optimisation model while including economic and technical aspects in the minimisation process. An additional objective function introduces a quadratic minimisation of the voltage harmonic distortions produced by the harmonic currents drawn by non-linear loads according to the IEEE Std. 519–1992 limits. A new constraint based on a resonance index (RI) is also introduced as a form to extend the capacitors’ lifetime. Furthermore, an aging model of capacitor dielectric insulation under a non-sinusoidal waveform scenario is used to estimate the expected real lifetime of capacitors. The proposed methodology was exhaustively tested on a 69-bus system and the results show that the methodology is adequate for planning capacitors and eliminates the need to focus in great detail on harmonic system data.

Inspec keywords: power distribution planning; quadratic programming; power system harmonics; capacitors; minimisation; distribution networks

Other keywords: multiobjective optimisation model; minimisation process; economic aspect; strategic capacitor placement; harmonic resonance; distribution systems; quadratic minimisation; voltage harmonic distortions; resonance index; nonlinear load; distribution system planning; technical aspect; harmonic amplification minimisation; IEEE Std. 519-1992

Subjects: Optimisation techniques; Network and transmission line calculations; Power system planning and layout; Distribution networks

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