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. 2024 Feb 23;14:4435. doi: 10.1038/s41598-024-54739-w

Table 2.

The data in the adjustment process of the initial phase angle of the sinusoidal waveform in the normal steady state, where the relative errors (ε) are calculated by Eq. (8), the maximum absolute errors (emax) are the maximum among the absolute errors between the reformulated waveform and its original one.

n b1(°) b2(°) φ0C (°) (φ0Cφ0) (°) cxy ε emax
0 27 28.8 27.9 0.3 0.999986292247427 2.74153 × 10−5 0.005235964
1 27 27.9 27.45 − 0.15 0.999996573055985 6.85388 × 10−6 − 0.002617937
2 27.45 27.9 27.675 0.075 0.999999143263629 1.71347 × 10−6 0.001308983
3 27.45 27.675 27.5625 − 0.0375 0.999999785815884 4.28368 × 10−7 0.000654488
4 27.562 5 27.675 27.61875 0.01875 0.999999946453970 1.07092 × 10−7 0.000327245
5 27.562 5 27.61875 27.590625 − 0.009375 0.999999986613492 2.6773 × 10−8 − 0.000163622
6 27.590 625 27.61875 27.6046875 0.0046875 0.999999996653373 6.69325 × 10−9 − 8.18112 × 10−5
7 27.590 625 27.6046875 27.59765625 − 0.00234375 0.999999999163343 1.67331 × 10−9 − 4.09056 × 10−5
8 27.59765625 27.6046875 27.60117188 0.001171875 0.999999999790836 4.18328 × 10−10 2.04528 × 10−5
9 27.59765625 27.60117188 27.59941406 − 0.000585938 0.999999999947709 1.04582 × 10−10 − 1.02264 × 10−5