Değişen Gürültü Koşullarında Kalman Filtreleri ile Güç Sistemlerinde Harmonik Tahmini: Performans Analizi ve Değerlendirmesi

Abstract

Bu çalışmada, güç sistemlerinde harmoniklerin genlik ve faz tahmini için literatürde önerilen bir test sinyali kullanılmıştır. Test sinyali, 10 dB, 20 dB ve 40 dB gürültü koşulları altında önerilen Kalman tabanlı yaklaşıma uygulanmıştır. Performans, elde edilen tahmin sonuçları ile literatürde bildirilen sonuçlar karşılaştırılarak değerlendirilmiştir. 10 dB Gauss gürültüsü için, ortalama karesel hata (OKH) 0.006649 ve normalleştirilmiş ortalama karesel hata (NOKH) 0.014542 idi; 20 dB Gauss gürültüsü için OKH 0.000613 ve NOKH 0.001340; 40 dB Gauss gürültüsü için OKH 0.000004 ve NOKH 0.000009 olmuştur. Her üç gürültü durumu için de ortalama hesaplama süresi 0.06 saniyedir. Her gürültü seviyesi için, orijinal, gürültülü ve tahmini sinyaller hem zaman hem de frekans alanlarında analiz edilmiş ve görsel değerlendirmeler sayısal sonuçlarla tutarlıdır.

Keywords

• Kestirim
• Harmonik
• Kalman
• Gürültü
• Güç

Supporting Institution

Hiçbir fon yok.

Harmonic Estimation in Power Systems with Kalman Filters under Varying Noise Conditions: Performance Analysis and Evaluation

Abstract

In this study, a test signal proposed in the literature for amplitude and phase estimation of harmonics in power systems is utilized. The test signal is applied to the proposed Kalman-based approach under noise conditions of 10 dB, 20 dB, and 40 dB. Performance is evaluated by comparing the obtained estimation results with those reported in the literature. For 10 dB Gaussian noise, the mean squared error (MSE) was 0.006649, and the normalized mean squared error (NMSE) was 0.014542; for 20 dB Gaussian noise, the MSE was 0.000613, and the NMSE was 0.001340; and for 40 dB Gaussian noise, the MSE was 0.000004, and the NMSE was 0.000009. The average computational time across all three cases is 0.06 seconds. For each noise level, the original, noisy, and estimated signals are analyzed in both the time and frequency domains, with visual assessments consistent with the numerical results.

Keywords

• Estimation
• Harmonic
• Kalman
• Noise
• Power

Supporting Institution

No funding.

Ethical Statement

No ethical declaration is required for the study.

Thanks

The author would like to thank the referees for their constructive comments that contributed to the improvement of the article, as well as the editorial board for their dedicated support throughout the publication process.

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