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.
Serdar Koçkanat (Tue,) studied this question.