Mitigation of even harmonics in the Fourier components of vertical illuminance around a reference point

Mangkuto, R.A. and Paramita, B. and Utami, S.S. (2020) Mitigation of even harmonics in the Fourier components of vertical illuminance around a reference point. Lighting Research and Technology, 52 (5). 675 – 691. ISSN 14771535

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Abstract

The use of Fourier components analysis has been recently proposed by Lynes to describe harmonics in vertical illuminance at various azimuth angles around a reference point. In cases with multiple light sources, it has been argued that the removal of even harmonics in the resulting Fourier components may correspond with good lighting practice. This paper therefore aims to demonstrate optimisation methods to mitigate even harmonics in Fourier components of vertical illuminance around a reference point due to two and three point light sources, by adjusting maximum vertical illuminance and subtended angles between the sources using sensitivity analysis and genetic algorithms. The results suggest that the genetic algorithm method yields more precise optimum solutions compared with the sensitivity analysis method, particularly for scenes with three point sources. For two point sources, the smallest root mean square value of even harmonics is achieved when the vertical illuminance due to the second source is 0.92 (relative to the vertical illuminance due to the first source) and the subtended angle is 90°. For three point sources, the optimum vertical illuminance due to the second and third sources is respectively 0.81 and 0.78, whereas the optimum subtended angles for the second and third sources with respect to the first are 64.4° and 116.8°, respectively. © The Chartered Institution of Building Services Engineers 2019.

Item Type: Article
Additional Information: Cited by: 1
Uncontrolled Keywords: Fourier transforms; Genetic algorithms; Harmonic analysis; Light sources; Fourier components; Lighting practices; Multiple light source; Optimisation method; Optimum solution; Point light source; Reference points; Root mean square values; Sensitivity analysis
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering > Nuclear and Physics Engineering Department
Depositing User: Sri JUNANDI
Date Deposited: 12 Jun 2025 02:00
Last Modified: 12 Jun 2025 02:00
URI: https://ir.lib.ugm.ac.id/id/eprint/16793

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