English Original Reader for Technical Students. Power transformers: short-circuit testing, monitoring systems (Smart Grid) - страница 3
The calculated curve derivative from current and calculated inductance Ls-c curve of 400 MVA/220 kV transformer in the short-circuit shot on the phase «C» with 100 % of the value of the aperiodical (shock) short-circuit current are shown in Figure 5. Deviation of Ls-c amounted to +1.3 % in the short-circuit shot.
Figure 5. The calculated curve in the short-circuit shot on the phase «C» with 100 % of the value of the aperiodical (shock) short-circuit current of 400 MVA/220 kV transformer: a) derivative from current; b) calculated inductance Ls-c curve.
During the tests for withstands to short-circuit currents of 400 MVA/220 kV transformer, the following data were obtained:
values of voltage and current in short circuit shots,
the short-circuit inductance measurement results,
level of vibration in the short circuit shot,
LVI-testing data,
the results of chromatographic analysis of transformer oil dissolved gas (DGA).
Diagnostic data parameters allowed to complete the objective picture of the condition stste of 400 MVA/220 kV transformer during the tests for withstands to short-circuit currents [by 1–4].
1.6. An Accuracy of Diagnostic Parameter of Smart Grid Monitoring System
When Smart Grid Monitoring System is working, an important issue is the accuracy of main diagnostic parameter which characterizing the normal operation of power transformer – the short-circuit inductance of the windings. Large error during the measurement of this parameter can lead to malfunctions of the device: false outages or, on the contrary, the protection isn’t working when the inductance changed after the transformer or the reactor had been damaged. Therefore, it is proposed to introduce to the scheme of this device the block of the mathematical treatment of ΔL measurement.
The confidence interval of a random measurement error of transformer inductance was determined in the block of mathematical treatment of
Measured parameters I, U, P, F from the measured voltage transformers, capacitive voltage dividers, current-measurement shunts and frequency counter are input to the entrance of mathematical treatment block of measurement results, where at the entrance there are analog-to-digital converters (ADC), within which the following operations are performed by a special algorithm:
1) The value of short-circuit transformer inductance which is converted to a frequency 50 Hz, is calculated
Where Ii, Ui, Pi, Fi are the values of current, voltage, power and frequency which are measured by ADC during i- count.
2) The average value of short-circuit transformer inductance at the 50 Hertz frequency is calculated
together with the total average value, including the parameters of the I, U, P, F:
where: Xi – values of the I, U, P, F, measured by ADC during i-counting,
n is the number of measurements.
3) The deviation of short-circuit inductance is calculated
where:X0 – base value of short-circuit transformer inductance, determined by calculations according to the results of preliminary tests.
4) The root-mean-square deviation (RMSD) of the measurement results for each of the primary parameters of I, U, P, F is calculated;
5) The RMSD for the resultant of short-circuit inductance is calculated:
where: