Ultimate effect of non-identity of resistive elements of high-voltage arm on frequency characteristics of broadband voltage divider (analytical research)
DOI:
https://doi.org/10.20998/2074-272X.2023.3.08Keywords:
high-voltage divider, frequency characteristics, analytical expressions, tolerance of resistive elements, parameters adjustmentAbstract
Purpose. Determination in the analytical form of the maximum limiting influence of the non-identity of the resistive elements of the high-voltage arm on the amplitude-frequency characteristic and phase-frequency characteristic of the voltage divider with parallel-series connection of R-, C-elements of the high-voltage arm. Methodology. Based on the previously developed theory of broadband voltage dividers with parallel-series connection of R‑, C-elements, analytical expressions for amplitude-frequency and phase-frequency characteristics of the voltage divider are obtained and investigated taking into account the limit case of non-identical resistive elements of high-voltage arm. Results. The nature of the dependencies of the frequency characteristics of the broadband voltage divider on the value of the tolerance of the resistive elements of the high-voltage arm, the division factor of the voltage divider in a wide range of frequency changes are determined. Simplified approximating expressions for the maximum values of frequency characteristics of the voltage divider are proposed and their error is determined. Originality. For the first time in the analytical form the limiting influence of non-identity of resistive elements of a high-voltage arm of a voltage divider on its frequency characteristics is considered. A mathematical model of this influence is constructed and the limit values of frequency characteristics of the voltage divider are determined. Practical value. It is recommended to introduce into the normative documentation of broadband voltage dividers the corrected value of the division factor, which allows to significantly reduce the deviation of the actual value of the division factor of the voltage divider from the normalized value in a wide range of frequency changes.
References
Anokhin Y.L., Brzhezytskyi V.O., Haran Ya.O., Masliuchenko I.M., Protsenko O.P., Trotsenko Ye.O. Application of high voltage dividers for power quality indices measurement. Electrical Engineering & Electromechanics, 2017, no. 6, pp. 53-59. doi: https://doi.org/10.20998/2074-272x.2017.6.08.
Brzhezitsky V.O., Haran Y.O., Derzhuk A.O., Protsenko O.R., Trotsenko Y.O., Dixit M.M. Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research). Electrical Engineering & Electromechanics, 2021, no. 4, pp. 46-52. doi: https://doi.org/10.20998/2074-272X.2021.4.06.
Li D., Liu K., Lei M., Zhou F., Yue C., Yu J. Study on the ratio change measurement of 1000 kV HVDC divider based on improved DC voltage summation method. High Voltage, 2020, vol. 5, no. 2, pp. 202-208. doi: https://doi.org/10.1049/hve.2019.0127.
Havunen J., Hällström J. Reference switching impulse voltage measuring system based on correcting the voltage divider response with software. IEEE Transactions on Instrumentation and Measurement, 2021, vol. 70, pp. 1-8. art. no. 1006008. doi: https://doi.org/10.1109/tim.2021.3063753.
Hrbac R., Kolar V., Bartlomiejczyk M., Mlcak T., Orsag P., Vanc J. A development of a capacitive voltage divider for high voltage measurement as part of a combined current and voltage sensor. Elektronika ir Elektrotechnika, 2020, vol. 26, no. 4, pp. 25-31. doi: https://doi.org/10.5755/j01.eie.26.4.25888.
Alf-Peter E., Hällström J., Bergman A. Optimization of the design of a wideband 1000 kV resistive reference divider. XVII International Symposium on High Voltage Engineering, Hannover, Germany, August 22-26, 2011.
Kovacevic U.D., Stankovic K.D., Kartaloviс N.M., Lonсar B.B. Design of capacitive voltage divider for measuring ultrafast voltages. International Journal of Electrical Power & Energy Systems, 2018, vol. 99, pp. 426-433. doi: https://doi.org/10.1016/j.ijepes.2018.01.030.
Thümmler T., Marx R., Weinheimer C. Precision high voltage divider for the KATRIN experiment. New Journal of Physics, 2009, vol. 11, no. 10, art. no. 103007. doi: https://doi.org/10.1088/1367-2630/11/10/103007.
Panko V., Banas S., Burton R., Ptacek K., Divin J., Dobes J. Enhanced Model of Nonlinear Spiral High Voltage Divider. Radioengineering, 2015, vol. 24, no. 1, pp. 130-136. doi: https://doi.org/10.13164/re.2015.0130.
Abdel Mageed H.M., El-Rifaie A.M., Aladdin O.M. Traceability of DC high voltage measurements using the Josephson voltage standard. Measurement, 2014, vol. 58, pp. 269-273. doi: https://doi.org/10.1016/j.measurement.2014.08.029.
Abdel Mageed H.M., Salah Eldeen R.S. Adapted Technique for Calibrating Voltage Dividers of AC High-Voltage Measuring Systems. MAPAN, 2020, vol. 35, no. 1, pp. 11-17. doi: https://doi.org/10.1007/s12647-019-00334-8.
Lee S.H., Yu K.M., Choi J.Y., Jang S.M. Low-Uncertainty Equality Between the Voltage-Dividing and Resistance Ratio of a DC Resistive High Voltage Divider. Journal of Electrical Engineering & Technology, 2019, vol. 14, no. 4, pp. 1789-1795. doi: https://doi.org/10.1007/s42835-019-00157-2.
Li Q., Wang L., Zhang S., Tang Y., Xu Y. Method to Determine the Ratio Error of DC High-Voltage Dividers. IEEE Transactions on Instrumentation and Measurement, 2012, vol. 61, no. 4, pp. 1072-1078. doi: https://doi.org/10.1109/TIM.2011.2178672.
Pan Feng, Xiao Yong, Lin Guoying, Xiao Xia, Shuai Hang. Analysis of the influencing factors for the 500 kV DC voltage reference divider used for on-site calibration. 2015 12th IEEE International Conference on Electronic Measurement & Instruments (ICEMI), 2015, pp. 25-29. doi: https://doi.org/10.1109/ICEMI.2015.7494180.
Boyko M.I., Syomkin S.O. Investigation of amplitude-temporal characteristics of a high-voltage resistive voltage divider. Electrical Engineering & Electromechanics, 2019, no. 4, pp. 59-68. doi: https://doi.org/10.20998/2074-272X.2019.4.09.
MathStudio Manual. Available at: http://mathstud.io/manual/ (accessed 22 May 2022).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 V. O. Brzhezitsky, Y. O. Trotsenko, Y. O. Haran, O. R. Protsenko, A. O. Derzhuk, M. M. Dixit
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
