Protection of low-voltage distribution networks
US-11921170-B2 · Mar 5, 2024 · US
US11422175B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11422175-B2 |
| Application number | US-202017081726-A |
| Country | US |
| Kind code | B2 |
| Filing date | Oct 27, 2020 |
| Priority date | May 21, 2020 |
| Publication date | Aug 23, 2022 |
| Grant date | Aug 23, 2022 |
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Provided is a live measurement method for three-winding transformer loss based on windowed frequency shift. The method includes: step 1: providing an improved live calculation equation of a three-winding transformer loss; step 2: processing a collected x(t) signal by windowed frequency shift calculation; step 3: solving an amplitude and a phase of the collected x(t) signal via discrete Fourier transform of a frequency shift signal; and step 4: calculating a no-load loss and a load loss of a three-winding transformer.
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What is claimed is: 1. A live measurement method for three-winding transformer loss based on windowed frequency shift, comprising following steps: step 1 : establishing an improved live calculation equation for the three-winding transformer loss by using a three-winding transformer equivalent circuit, and determining, according to the improved live calculation equation for the three-winding transformer loss, an instantaneous voltage value v 1 of a high-voltage side of a three-winding transformer, an instantaneous current value i 1 of the high-voltage side of the three-winding transformer, an instantaneous reduction value v 2 ′ of a medium-voltage side voltage at the high-voltage side in the three-winding transformer, an instantaneous reduction value i 2 ′ of a medium-voltage side current at the high-voltage side in the three-winding transformer, an instantaneous reduction value v 3 ′ of a low-voltage side voltage of the three-winding transformer at the high-voltage side, and an instantaneous reduction value i 3 ′ of a low-voltage side current of the three-winding transformer at the high-voltage side; step 2 : calculating, by using a windowing algorithm, windowed discrete-time Fourier transform equations of an instantaneous voltage signal of the high-voltage side of the three-winding transformer, an instantaneous current signal of the high-voltage side of the three-winding transformer, an instantaneous reduction signal of the medium-voltage side voltage at the high-voltage side in the three-winding transformer, an instantaneous reduction signal of the medium-voltage side current at the high-voltage side in the three-winding transformer, an instantaneous reduction signal of the low-voltage side voltage of the three-winding transformer at the high-voltage side, and an instantaneous reduction signal of the low-voltage side current of the three-winding transformer at the high-voltage side; step 3 : performing frequency shift processing on the windowed discrete-time Fourier transform equations obtained in the step 2 , and performing Fourier transform on the frequency-shifted discrete-time Fourier transform equations to obtain amplitudes and phases of the instantaneous voltage signal of the high-voltage side of the three-winding transformer, the instantaneous current signal of the high-voltage side of the three-winding transformer, the instantaneous reduction signal of the medium-voltage side voltage at the high-voltage side in the three-winding transformer, the instantaneous reduction signal of the medium-voltage side current at the high-voltage side in the three-winding transformer, the instantaneous reduction signal of the low-voltage side voltage of the three-winding transformer at the high-voltage side, and the instantaneous reduction signal of the low-voltage side current of the three-winding transformer at the high-voltage side; and step 4 : converting the amplitudes and the phases of the instantaneous voltage signal of the high-voltage side of the three-winding transformer, the instantaneous current signal of the high-voltage side of the three-winding transformer, the instantaneous reduction signal of the medium-voltage side voltage at the high-voltage side in the three-winding transformer, the instantaneous reduction signal of the medium-voltage side current at the high-voltage side in the three-winding transformer, the instantaneous reduction signal of the low-voltage side voltage of the three-winding transformer at the high-voltage side, and the instantaneous reduction signal of the low-voltage side current of the three-winding transformer at the high-voltage side into phasor values, and calculating a no-load loss and a load loss of the three-winding transformer based on the phasor values by using a phasor method; wherein the live measurement method for three-winding transformer loss based on windowed frequency shift further comprises: determining an operating state of the three-winding transformer according to the no-load loss and the load loss of the three-winding transformer. 2. The live measurement method for three-winding transformer loss based on windowed frequency shift of claim 1 , wherein the step 1 comprises following steps: step 101 : establishing the three-winding transformer equivalent circuit, and in the three-winding transformer equivalent circuit, setting Z 1 to an impedance of a high-voltage winding, Z 2 ′ to a reduction value of an impedance of a middle-voltage winding at the high-voltage side, Z 3 ′ to a reduction value of an impedance of a low-voltage winding at the high-voltage side, Z m to an excitation impedance, v 1 to the instantaneous voltage value of the high-voltage side, i 1 to the instantaneous current value of the high-voltage side, v 2 ′ to the instantaneous reduction value of a medium-voltage side voltage at the high-voltage side, i 2 ′ to the instantaneous reduction value of a medium-voltage side current at the high-voltage side, v 3 ′ to the instantaneous reduction value of a low-voltage side voltage at the high-voltage side, i 3 ′ to the instantaneous reduction value of a low-voltage side current at the high-voltage side, and i m to an excitation current; step 102 : obtaining a calculation equation for a no-load loss and a load loss in three-winding transformer live detection in the presence of a simplified equivalent circuit, P l o s s = 1 T ∫ 0 T v 1 i 1 d t - 1 T ∫ 0 T v 2 ′ i 2 ′ dt
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