Abstract
The present section provides a synthesized overview of the Space Phasor Theory and underlines its advantages for the analysis and phasorial representation of transient process in the classical converter fed electrical machines. The conceptual hardcore of the theory is discussed in detail, its main and more practical questions are given and illustrated by means of different theoretical and experimental examples and the, so-called, correlation theorems are presented. The contribution also includes a direct comparison between the Space Phasor Theory on the one hand and the Space Vector Theory and the Generalized Machine Theory on the other in order to make clear where the essential differences between these theories lie.
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References
Steinmetz, C. P. (1893) Complex Quantities and their use in electrical engineering, Proc. of International Electrical Congress, Chicago, 33–74.
Steinmetz, C. P. (1898) Theory and Calculation of Alternating Current Phenomena, W.I. Johnston Co., New York.
Serrano-Iribamegaray, L. (1993). The modem space phasor theory. Part I: Its coherent formulation and its advantages for transient analysis of converter-fed a.c machines, European Transactions on Electrical Power Engineering 3, 2, 171–180.
Serrano-Iribamegaray, L. (1993) The modern space phasor theory. Part II: Comparison with the Generalized Machine Theory and the Space Vector Theory, European Transactions on Electrical Power Engineering 3, 3, 213–219.
Park, R.H. (1929 and 1933) Two-Reaction theory of synchronous machines, AIEE Transactions 48, pp.716–730 and
Park, R.H. (1929 and 1933) Two-Reaction theory of synchronous machines, AIEE Transactions 52, 352–355.
Kron, G. (1942). The application of tensors to the analysis of rotating electrical machinery, General Electric Review, Schenectady, New York.
Dreyfus, L. (1912) Ausgleichvorgänge in der symmetrischen Mehrphasenmaschine (in German), Elektrotechnik undMascchinenbau 30, 25, 121, 139.
Dreyfus, L. (1916). Ausgleichvorgänge beim plötzlichen Kurzschluss von Synchrongeneratoren, Archiv für Elektrotechnik 5, 103–140.
Kovacs, K.P. and Racz, I. (1959) Transiente Vorgänge in Wechselstrommaschinen 1 and 2, Akademiai Kiado, Budapest.
Pfaff G. (1971) Regelung elektrischer Antriebe I, Oldenbourg, Wien.
Leonhard, W. (1974) Regelung in der elektrischen Antriebstechnik, Teubner, Stuttgart.
Bühler, H. (1977) Einfährung in die Theorie geregelter Drehstromantriebe I and II, Birkhaüser, Stuttgart
Naunin, D. (1978) The calculation of the dynamic behavior of electric machines by space-phasors, Proc. of International Conference on Electrical Machines T/5 1–11, Brussels.
Kleinrath, H. (1980) Stromrichtergespeiste Drehfeldmaschinen, Springer-Verlag, Wien.
Stepina, J. (1967) Raumzeiger als Grundlage der Theorie der elektrischen Maschinen,, Elektrotechnische Zeitschrift ETZ-A 88, 584–587.
Stepina, J. (1968) Fundamental equations of the space vector analysis of electrical machines. Acta Technica CSAV 12, 184–189.
Stepina, J. (1972) Raumzeiger in Matrizendarstellung in der Theorie der elektrischen Maschinen, Archiv für Elektrotechnik 55, 91–97.
Stepina, J. (1979) Einführung in die allgemeine Raumzeiger-Theorie der elektrischen Maschinen, Press of University of Kaiserslautem.
Doherty R.E. and Nickle, C.A. (1926) Synchronous Machines. I. An extension of Blondel’s two-reaction theory. II Steady state power-angle characteristics, Transactions of AIEE, 912–947.
Müller, G. (1990) Elektrische Maschinen. Betriebsverhalten elektrischer Maschinen, VEB Verlag Technik, Berlin.
Serrano-Iribamegaray, L. (1991) Physical meaning of the voltage space phasor. Application to the dynamic equations of the rotating electrical machines (In Spanish). Plenary Session, 2nd Portuguese-Spanish Electrical Engineering Meeting, Coimbra (Portugal), 51–73.
Serrano-Iribamegaray, L. (1995) Critical review of the scientific background underlying the generalized machine theory and correlation theorems in the space phasor theory, European Transactions on Electrical Power Engineering 5, 4, 247–255.
Retter, G.J. (1987) Matrix and Space Phasor Theory of Electrical Machines, Akademiai Kiado, Budapest.
Hindmarsh, J. (1977) Electrical Machines and Their Applications, Pergamon Press, Oxford.
White, D. And Woodson, H. (1959) Electromechanical Energy Conversion, John Wiley & Sons, New York.
Seely, S. (1962) Electromechanical Energy Conversion, Mc. Graw Hill, New York.
Gray, C.B. (1984) Air-gap power and torque development in electrical machines. Can we teach the fundamentals?, IEEE Transactions on Power Apparatus and Systems PAS-103, 4, 874–879.
Palit, B.B. (1980) Einheitliche Untersuchung der elektrischen Maschinen mit Hilfe des Poynting-Vektors und des elektromagnetischen Energieflusses im Luftspaltraum, Zeitschrift für angewandte Mathematik und Physik 31, 384–412.
Fraile Mora, J. (1990) Electromagnetism y Circuitos Magnéticos, Press of the Universidad Politécnica de Madrid.
Rodriguez Pozueta, M.A. (1994) Analisis de los Regimenas Dinámicos de las Máquinas Asincronas Mediante la Teoria de los Fasores Espaciales, Press of the Universidad Politécnica de Cantabria.
Brüderlin, R. (1921) Ueber eine graphische Zerlegung der Feld-Erregerkurve einer unregelmässigen Mehrphasenwicklung in ihre Einzelwellen, ETZ-A 42, 1093–1096.
Serrano-Iribarnegaray, L. and Cervera-Vicente, A. (1987) Cylindrical rotor synchronous machine with non-sinusoidal stator currents. Part I: General analysis by means of physical space phasors. Part II: Bar currents and influence of the damper winding, ETZ Archiv 10, 6, pp. 195–200 and
Serrano-Iribarnegaray, L. and Cervera-Vicente, A. (1987) Cylindrical rotor synchronous machine with non-sinusoidal stator currents. Part I: General analysis by means of physical space phasors. Part II: Bar currents and influence of the damper winding, ETZ Archiv 10, 7, 221–226.
Heller, B. (1963) Der Einfluss von paralellen Zweigen der Statorwicklung auf den Drehmomentverlauf in Käfigankermotoren, Acta Technica CSAV 1, 1–16.
Oberretl, K. (1965) Ueber den Einfluss von parallelen Wicklungszweigen, Dreieckschaltung, Spulensehnung, Nutzschlitzbreite und Nuteaschrägung auf das Drehmoment von Käfigläufermotoren, ETZ-A 86, 619–627.
Van der Merwe, F.S. (1976) The Analysis of an electric machine with a smooth air gap allowing for all winding mmf-harmonics. Part I: the basic space vector component machine equations, Archiv für Elektrotechnik 58, 283–292.
Serrano-Iribarnegaray, L. (1989) Fundamentos de Máquinas Eléctricas Rotativas, Marcombo, Barcelona.
Carrion Pérez, P. (1991) Simulación y Equipo de Medida de los Regimenes Dinámicos en Mâquinas Eléctricas Rotativas para su Aplicaciôn a la Investigación, y la la Docencia Industria, Ph. D. Thesis, Universidad Politécnica de Valencia.
Amin, B. and Serrano-Iribarnegaray, L. (1994) Discussion: Space Phasor or Space Vector?, European Transactions on Electrical Power Engineering 4, 1, 69–75.
Kovacs, K.P. (1984) Transient Phenomena in Electrical Machines, Elsevier.
Leonhard, W. (1985) Control of Electrical Drives, Springer.
Serrano-Iribarnegaray, L. (1986) Ersetzen der mathematischen durch die physikalischen Raumzeiger zur Untersuchung stationärer und dynamischer Vorgänge in rotierenden elektrischen Maschinen, ETZ Archiv 8, 10, 347–352.
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Serrano-Iribarnegaray, L. (2000). The Space Phasor Theory. In: Ertan, H.B., Üçtuğ, M.Y., Colyer, R., Consoli, A. (eds) Modern Electrical Drives. NATO ASI Series, vol 369. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9387-8_19
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DOI: https://doi.org/10.1007/978-94-015-9387-8_19
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