MODAL TRANSFORM FEATURES OF CABLE LINE ELECTRICAL VALUES IN A TRAVELING WAVE FAULT LOCATOR

DOI: 10.47026/1810-1909-2022-3-81-87

УДК 621.311.1-027-044.952

ББК З279-051.1-017

Anastasia G. SEMENOVA, Aleksey O. FEDOROV, Vladimir S. PETROV, Aleksandr M. DMITRENKO

Key words

modal transform, cable line, traveling wave fault location

Abstract

It is known that during a short circuit on an overhead line, the traveling waves in the phases contain components of two aerial and one ground modes. Due to the different propagation velocity along the line of these components at the locator installation place they arrive at different times. This leads to the fact that the traveling wave front in the phases becomes less pronounced, and, consequently, the accuracy of determining their arrival time and accuracy of the fault location decrease. To divide the phase values ​​of an overhead line into independent components of modes, invariant transformations – Clark transformation, Karrenbauer transformation, or Wedepohl transformation – are used. However, these transformations in their classical form cannot be applied to the electrical values of a cable line, since its design differs from that of an overhead power line. The purpose of the article is to illustrate the use of modal transformation on a cable line. As a result of the study, the following conclusions were obtained: currents in the cable line cores do not affect each other, therefore, in the wave fault locator that measures current waves, it is necessary to use directly the phase currents of the cores without modal transformation; if the wave fault locator measures the currents or voltages of the cable screens, the modal transformation should be performed, and it must be taken into account that the three modes formed by the screens are similar to the three modes of the overhead line; if a power transformer is adjacent to the cable line, the current traveling waves in the cores will be completely reflected from the measurement place, in this case in the wave fault locator it is necessary to use voltage traveling waves in the mode between the core and the screen of each cable of the three-phase group.

References

1. Alekseev V.S., Petrov V.S., Naumov V.A. Invariance of Modal Transformations of Electrical Values in Traveling Wave Fault Locator. 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), Sochi, Russia, 2020, pp. 1–5. DOI: 10.1109/ICIEAM48468.2020.9111912.
2. Ametani A., Ohno T., Nagaoka N. Cable system transients: theory, modeling and simulation. John Wiley & Sons Singapore Pte. Ltd., 2015.
3. Clarke I.E. Circuit Analysis of Alternating Current Power Systems. New York, Wiley, 1943, vol. 1.
4. Dommel H.W. Electromagnetic Transients Program: Theory Book, Bonneville Power Administration, 1986.
5. Fedorov A., Petrov V., Naumov V., Hristoforov V. Theory of single-end traveling wave fault location. In: Int. Conf. on Industrial Engineering, Applications and Manufacturing (ICIEAM), Sochi, Russia, 2021, pp. 68–74. DOI: 10.1109/ICIEAM51226.2021.9446310.
6. Lei A., Dong X., Shi S. A Novel Method to Identify the Travelling WaveReflected from the Fault Point or the Remote-end Bus. In: IEEE Power & Energy Society General Meeting, 2015, pp. 1–5. DOI: 10.1109/PESGM.2015.7285725.
7. Martinez-Velasco J.A. Power System Transients. Parameter Determination, CRC Press, 2010, 644 p. DOI: 10.1201/9781420065305.
8. Schweitzer E., Guzmán A., Mynam M., Skendzic V., Kasztenny B., Marx S. Locating faults by the traveling waves they launch. In: 67^th Annual Conference for Protective Relay Engineers, 2014, pp. 95–110. DOI: 10.1109/CPRE.2014.6798997.
9. Wedepohl L M. Application of matrix methods to the solution of travelling-wave phenomena in polyphaser systems. Proc. IEE 110, 1963, no. 12, pp. 2200–2212.

Information about the authors

Anastasia G. Semenova – Engineer, Power Systems Automation Department, EKRA Ltd, Russia, Cheboksary (semenova_ag@ekra.ru; ORCID: https://orcid.org/0000-0002-0211-5341).

Aleksey O. Fedorov – Post-Graduate Student, Theoretical Foundations of Electrical Engineering and Relay Protection and Automation Department, Chuvash State University; Research Engineer, Power Systems Automation Department, EKRA Ltd, Russia, Cheboksary (fedorov_a@ekra.ru; ORCID: https://orcid.org/0000-0001-8863-5956).

Vladimir S. Petrov – Candidate of Technical Sciences, Assistant Professor, Department of Theoretical Foundations of Electrical Engineering and Relay Protection and Automation, Chuvash State University, Russia, Cheboksary (petrov_vs@ekra.ru; ORCID: https://orcid.org/0000-0002-3667-1442).

Aleksandr M. Dmitrenko – Doctor of Technical Sciences, Professor, Department of Power Supply and Intelligent Electric Power Systems named after A.A. Fedorov, Chuvash State University, Russia, Cheboksary (dmitrenko_am@mail.ru; ORCID: https://orcid.org/0000-0002-4380-3482).

For citations

Semenova A.G., Fedorov A.O., Petrov V.S., Dmitrenko A.M. MODAL TRANSFORM FEATURES OF CABLE LINE ELECTRICAL VALUES IN A TRAVELING WAVE FAULT LOCATOR. Vestnik Chuvashskogo universiteta, 2022, no. 3, pp. 81–87. DOI: 10.47026/1810-1909-2022-3-81-87 (in Russian).

Download the full article