MAPAN

pp 1–7

# Adapted Technique for Calibrating Voltage Dividers of AC High-Voltage Measuring Systems

• Hala M. Abdel Mageed
• Rehab S. Salah Eldeen
Original Paper

## Abstract

This paper presents an adapted technique to calibrate the AC voltage divider of AC high-voltage measuring systems up to 200 kV at the Egyptian National Institute of Standards. Two identical capacitors have been used as two similar AC high-voltage capacitive dividers. Firstly, the dividing ratios of two capacitors have been achieved by calibrating each capacitor via a traceable reference standard AC high-voltage divider up to 100 kV. Then, both capacitors have been connected in series to perform as one 200-kV AC voltage divider. They have been calibrated via the same 100-kV reference standard divider to experimentally get their actual dividing ratios up to 100 kV. In order to get their dividing ratios from 100 to 200 kV, a mathematical derivation has been determined. The concept of this derivation is when applying the doubled voltage to two identical pre-calibrated voltage dividers connected in series, their input voltage is almost equally divided across these two dividers. Finally, these calibrated two series capacitors have been used to calibrate a voltage divider of a 200-kV AC HV measuring system. The uncertainty contributions for all the results have been estimated. Enhanced uncertainties have been acquired using this proposed adapted calibration technique.

## Keywords

Adapted calibration technique AC high-voltage measuring systems Capacitive high-voltage dividers Dividing ratios Mathematical derivation Uncertainty

## References

1. [1]
J. Mindykowski, M. Savino, An overview of the measurement of electrical quantities within imeko from 2003 to 2015, Meas. J. Int. Meas. Confed., 95 (2017) 33–44.Google Scholar
2. [2]
E. Kuffel, W.S. Zaengl, J. Kuffel, High voltage engineering, fundamentals, High Volt. Eng., 1(1) (2001) 552.Google Scholar
3. [3]
H. Parks, High-voltage divider calibration with the reference step method, J. Meas. Sci., (2016). .
4. [4]
S. R. Gupta, Calibration & measurement facilities for AC high current & high voltage ratio standards at NPL, MAPAN-J. Metrol. Soc India, 24(1) (2009) 29–39.Google Scholar
5. [5]
J. Klussa, J. Hallstromb, A.-P. Elg, Optimization of field grading for a 1000 kV wide-band voltage divider, J. Electrost., 73 (2015) 140–150.
6. [6]
R. Marx, New concept of PTBs standard divider for direct voltages of up to 100 kV, IEEE Trans. Instrum. Meas., 50(2) (2001) 426–429.
7. [7]
T. Thümmler, R. Marx, C. Weinheimer, Precision high voltage divider for the KATRIN experiment, New J. Phys., 11 (2009) 103007.
8. [8]
Y. Li, M.K. Ediriweera, F.S. Emms, A. Lohrasby, Development of precision DC high-voltage dividers, IEEE Trans. Instrum. Meas., 60(7) (2011) 2211–2216.
9. [9]
A. S. Katkov, A method of calibrating standard voltage dividers up to 1000 V, Meas. Tech., 48(4) (2005) 388–394.
10. [10]
U.D. Kovačević, K.Đ. Stanković, N.M. Kartalović, B.B. Lončar, Design of capacitive voltage divider for measuring ultrafast voltages, Electr. Power Energy Syst., 99 (2018) 426–433.
11. [11]
M.K. Mittal, R.K. Kotnala, J.C. Biswas, A.S. Yadav, AC power & energy standard—NPLI measurement, calibration & testing, MAPAN-J. Metrol. Soc. India, 24(1) (2009) 21–28.Google Scholar
12. [12]
Joint Committee for Guides in Metrology (JCGM), International vocabulary of metrology—basic and general concepts and associated terms (VIM). Int. Vocab. Metrol., 3 (2008) 104.Google Scholar
13. [13]
J.S. Satish, T.J. Babita, Characterization of capacitance standards at high frequency at national physical laboratory, India, J. Metrol. Soc. India (MAPAN), 33(2) (2018) 131–137.Google Scholar
14. [14]
K.-T. Kim, J.K. Jung, K.M. Yu, Y.B. Kim, Y.S. Song, Modified step-up method for calibration of DC high-voltage dividers, IEEE Trans. Instrum. Meas., 66(6) (2017) 1103–1107.
15. [15]
B. Štrbac, V. Radlovački, V. Spasić-Jokić, M. Delić, M. Hadžistević, The difference between GUM and ISO/TC 15530-3 method to evaluate the measurement uncertainty of flatness by a CMM, J. Metrol. Soc. India (MAPAN), 32(4) (2017) 251–257.Google Scholar
16. [16]
Uncertainty Guide to the Expression of Uncertainty in Measurement, JCGM 100, (2008).Google Scholar
17. [17]
18. [18]
M. Boumans, Model-based Type B uncertainty evaluations of measurement towards more objective evaluation strategies, Meas. J. Int. Meas. Confed., 46(9) (2013) 3775–3777.
19. [19]
I. Farrance, R. Frenkel, Uncertainty of measurement: a review of the rules for calculating uncertainty components through functional relationships, Clin. Biochem. Rev., 33(2) (2012) 49–75.Google Scholar
20. [20]
21. [21]
A. El-Rifaie, H. M. Abdel Mageed, O. Aladdin, Enhancement of AC high voltage measurements’ uncertainty using a high voltage divider calibration method, Int. J. Metrol. Qual. Eng., 6(2) (2015) 207.
22. [22]
H.M. Abdel Mageed, A. El-Rifaie, O. Aladdin, Traceability of DC high voltage measurements using the Josephson voltage standard. Measurement, 58 (2014) 269–273.
23. [23]
H.M. Abdel Mageed, F.Q. Alenezi, Traceability of DC and AC High voltage measurements using voltage divider calibration, Int. J. Electr. Eng. Educ., 55(2) (2018) 109–119.
24. [24]
M.S. Ballal, M.G. Wath, Current transformer accuracy improvement by digital compensation technique, MAPAN-J. Metrol. Soc. India, 34(2) (2019) 225–237.Google Scholar