E-journal for electrical and electronic engineers
AUTOMATYKA, ELEKTRYKA, ZAKLOCENIA
(AUTOMATICS, ELECTROTECHNICS, DISTURBANCES)
Vol. 15, nr 4 (58) 2024
Is Reactive Power a Physical Quantity?
Leszek S. CZARNECKI
Abstract
Reactive power is regarded in the power engineering community as a physical quantity, the article shows, however, that there is no physical phenomenon in electrical circuits that might be described in terms of reactive power. This power satisfies the Power Balance Principle, but this cannot bolster the opinion that it is a physical quantity because this Principle for reactive power cannot be derived from the Energy Conservation Principle but from the Tellegen Theorem which is only a mathematical not physical property of electrical circuits. The article shows that the meaning of reactive power Q is similar to the meaning of apparent power, which is just an arbitrary quantity characterizing supply sources, it is only a product of rms values of the load voltage and reactive current. Reactive power Q is a product of rms values of the load voltage and reactive current, on the condition, however, that this current correctly defined.
Keywords
reactive power, definition, mathematical property
Fig.
Bilbiography
[1] A.B. Carlson: “Circuits”, Publisher: Brooks/Cole, 2000.
[2] O.I. Elgerd: “Basic Electric Power Engineering”, Addison-Wesley, 1977.
[3] Ch.P. Steinmetz: “Is a phase-shift in the current of an electric arc?”, (in German), Elektrotechnische Zeitschrift, Heft 42, 567-568, 1892.
[4] C.I. Budeanu: “Puissances reactives et fictives”, Institut Romain de l Energie, Bucharest, 1927.
[5] S. Fryze: “Active, reactive and apparent powers in systems with distorted waveform”, (in Polish), Przegląd Elektrotechniczny, Z. 7, 193-203 1931; Z. 8, 225-234, Z. 22, 673-676, 1932.
[6] W. Shepherd, P. Zakikhani: “Suggested definition of reactive power for nonsinusoidal systems”, Proc. IEE, Vol. 119, No. 9, 1361-1362, 1972.
[7] N.L. Kusters, W.J.M. Moore: “On the definition of reactive power under nonsinusoidal conditions”, IEEE Trans. Pow. Appl. Syst., Vol. PAS-99, 1845-1854, 1980.
[8] L.S. Czarnecki: “Orthogonal components of a linear load supplied from a source of distorted voltage”, (in Polish), Scientific Letters of Gliwice University of Technology, ELEKTRYKA, No. 86, 1983.
[9] P. Tenti, P. Mattavelli: “A time-domain approach to power term definitions under non-sinusoidal conditions”, Proc. of the Workshop on Power Definitions and Measurement Under Nonsinusoidal Conditions, Milano, 2003.
[10] H. Akagi, Y. Kanazawa, A. Nabae: “Instantaneous reactive power compensators comprising switching devices without energy storage components”, IEEE Trans. on IA. IA-20, 625-630, 1984.
[11] L.S. Czarnecki: “What is wrong with the Budeanu concept of reactive and distortion powers and why it should be abandoned”, IEEE Trans. IM, Vol. IM-36, No. 3, 834-837, 1987.
[12] L.S. Czarnecki: “Budeanu and Fryze: Two frameworks for interpreting power properties of circuits with nonsinusoidal voltages and currents”, Archiv fur Elektr., (81), No. 2, 5-15, 1997.
[13] L.S. Czarnecki: “Power theories of periodic nonsinusoidal systems”, Rozprawy Elektrotechniczne, 31, z. 3-4, 659-685, 1985.
[14] L.S. Czarnecki: “Additional discussion to "Reactive power under nonsinusoidal conditions”, IEEE Trans. on Power and Systems, Vol. PAS-102, No. 4, 1023-1024, 1983.,
[15] L.S. Czarnecki: “On some misinterpretations of the Instantaneous Reactive Power p-q Theory”, IEEE Trans. on Power Electronics, Vol. 19, No. 3, 828-836, 2004.
[16] L.S. Czarnecki: “Comparison of the Conservative Power Theory (CPT) with Budeanus power theory”, Annales of the University of Craiova, 51-59, 2016.
[17] L.S. Czarnecki: “Currents Physical Components (CPC) – based Power Theory. A Review, Part I: Power Properties of Electrical Circuits and Systems”, Przegląd Elektrotechniczny, R95, No. 10, 1-11, 2019.
[18] L.S. Czarnecki: “Currents Physical Components (CPC) –based Power Theory. A Review, Part II: Filters and reactive, switching, and hybrid compensators”, Przegląd Elektrotechniczny, R96, No. 4, 1-10, 2020.
[19] B.D.H. Tellegen:"A general network theorem with applications", Philips Research Rep., (Philips Research Laboratories) 7, 259–269, 1952.
[20] L.S. Czarnecki: “Powers and Compensation in Circuits with Nonsinusoidal Currents”, Oxford University Press, in printing, 2025