Defining Power Components in Nonsinusoidal Unbalanced Polyphase Systems: The Issues

Defining power components for unbalanced three-phase systems operating under nonsinusoidal conditions is an area of active research which spawned many theories. The approaches may be classified into two groups: the first is a bottom-up approach that extends well accepted definition of power components for single-phase systems operating under ideal sinusoidal situations to the case of unbalanced three-phase systems in nonsinusoidal situations. The second group involves a top-down approach that tries to offer a definition for nonlinear polyphase systems in nonsinusoidal situations and apply it to linear single phase systems in sinusoidal situations by considering the former as the general case and the latter as a special case. This paper summarizes previously published approaches and concludes that none of the approaches in the literature can lead to power components definitions that satisfy all required power properties. Different analysis tools other than those based on frequency or time domain are recommended in this paper for future work.

[1]  T. Tanaka,et al.  A new definition of instantaneous active-reactive current and power based on instantaneous space vectors on polar coordinates in three-phase circuits , 1996 .

[2]  Hirofumi Akagi,et al.  Instantaneous Reactive Power Compensators Comprising Switching Devices without Energy Storage Components , 1984, IEEE Transactions on Industry Applications.

[3]  J.L. Willems,et al.  Reflections on apparent power and power factor in nonsinusoidal and polyphase situations , 2004, IEEE Transactions on Power Delivery.

[4]  Archer E. Knowlton,et al.  Reactive Power Concepts in Need of Clarification , 1933, Transactions of the American Institute of Electrical Engineers.

[5]  Leszek S. Czarnecki,et al.  Considerations on the Reactive Power in Nonsinusoidal Situations , 1985, IEEE Transactions on Instrumentation and Measurement.

[6]  F. Ghassemi.  Verification of the new concept in AC power theory using energy conversion medium , 2000, Ninth International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.00EX441).

[7]  Alexander E. Emanuel,et al.  On the physical meaning of nonactive powers in three-phase systems , 1999 .

[8]  Jacques L. Willems,et al.  A new interpretation of the Akagi-Nabae power components for nonsinusoidal three-phase situations , 1992 .

[9]  F. Blaabjerg,et al.  Spectral analysis of instantaneous powers in single-phase and three-phase systems with use of p-q-r theory , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[10]  H. Lev-Ari,et al.  Hilbert space techniques for reactive power compensation in polyphase systems with unequal line resistances , 2004, 2004 11th International Conference on Harmonics and Quality of Power (IEEE Cat. No.04EX951).

[11]  P. Salmeron,et al.  Instantaneous and full compensation in three-phase systems , 1998 .

[12]  O. Gul,et al.  Power components in unbalanced and distorted polyphase systems , 1998, MELECON '98. 9th Mediterranean Electrotechnical Conference. Proceedings (Cat. No.98CH36056).

[13]  M. Depenbrock,et al.  Concerning "Instantaneous power compensation in three-phase systems by using p-q-r theory" , 2004, IEEE Transactions on Power Electronics.

[14]  Jacques L. Willems.  Discussion of "Generalized theory of instantaneous reactive quantity for multiphase power system" , 2006 .

[15]  M. Depenbrock,et al.  The FBD-Method, A Generally Applicable Tool For Analyzing Power Relations , 1992, ICHPS V International Conference on Harmonics in Power Systems..

[16]  Ronnie Belmans,et al.  Wavelet-based power quantification approaches , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[17]  A.E. Emanuel.  Poynting vector and the physical meaning of nonactive powers , 2004, Proceedings of the 21st IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.04CH37510).

[18]  F. Ghassemi.  New apparent power and power factor with nonsinusoidal waveforms , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[19]  Ikuo Takahashi.  Analysis of instantaneous current and power using space switching functions , 1988, PESC '88 Record., 19th Annual IEEE Power Electronics Specialists Conference.

[20]  G. Blajszczak.  Space vector control of a unified compensator for nonactive power , 1994 .

[21]  A.E. Emanuel,et al.  The apparent power concept and the IEEE standard 1459-2000 , 2005, IEEE Transactions on Power Delivery.

[22]  A. E. Emanuel,et al.  Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion , 1996 .

[23]  P. Salmeron,et al.  Identification of instantaneous current components in three-phase systems , 1999 .

[24]  Yahia Baghzouz,et al.  Discussion of power definitions contained in the IEEE Dictionary , 1994 .

[25]  L.S. Czarnecki,et al.  On some misinterpretations of the instantaneous reactive power p-q theory , 2004, IEEE Transactions on Power Electronics.

[26]  D. Zhang,et al.  Impact of interharmonics on the measurement error of AC sampling , 2004, 2004 International Conference on Power System Technology, 2004. PowerCon 2004..

[27]  L. Czarnecki.  Reactive and unbalanced currents compensation in three-phase asymmetrical circuits under nonsinusoidal conditions , 1989 .

[28]  T. Croes,et al.  Power measurement using the wavelet transform of analytic signals , 2004, 2004 11th International Conference on Harmonics and Quality of Power (IEEE Cat. No.04EX951).

[29]  P. Salmeron,et al.  Instantaneous power components in polyphase systems under nonsinusoidal conditions , 1996 .

[30]  R. Gretsch,et al.  Generalized theory of instantaneous reactive quantity for multiphase power system , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[31]  Alessandro Ferrero,et al.  A new approach to the definition of power components in three-phase systems under nonsinusoidal conditions , 1991 .

[32]  C. Page.  Reactive Power in Nonsinusoidal Situations , 1980, IEEE Transactions on Instrumentation and Measurement.

[33]  J. L. Willems,et al.  Apparent power and power factor concepts in unbalanced and nonsinusoidal situations , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[34]  L.S. Czarnecki.  Could power properties of three-phase systems be described in terms of the Poynting vector? , 2006, IEEE Transactions on Power Delivery.

[35]  H. Lev-Ari,et al.  A decomposition of apparent power in polyphase unbalanced networks in nonsinusoidal operation , 2006, IEEE Transactions on Power Systems.

[36]  Leon M. Tolbert,et al.  Compensation of non-active current in power systems-definitions from compensation standpoint , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[37]  D. J. Adams,et al.  Harmonic and reactive power compensation based on the generalized instantaneous reactive power theory for three-phase four-wire systems , 1998 .

[38]  Michael J. Devaney,et al.  Reactive power measurement using the wavelet transform , 2000, IEEE Trans. Instrum. Meas..

[39]  J. Driesen,et al.  Analysing time-varying power system harmonics using wavelet transform , 1996, Quality Measurement: The Indispensable Bridge between Theory and Reality (No Measurements? No Science! Joint Conference - 1996: IEEE Instrumentation and Measurement Technology Conference and IMEKO Tec.

[40]  Michael J. Devaney,et al.  Power measurement using the wavelet transform , 1998, IEEE Trans. Instrum. Meas..

[41]  Birgitte Bak-Jensen,et al.  Instantaneous power compensation in three-phase systems by using p-q-r theory , 2002 .

[42]  L. Rossetto,et al.  Using AC-fed PWM converters as instantaneous reactive power compensators , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[43]  F. Ghassemi.  New concept in AC power theory , 2000 .

[44]  L.S. Czarnecki,et al.  Instantaneous reactive power p-q theory and power properties of three-phase systems , 2006, IEEE Transactions on Power Delivery.

[45]  Takeshi Furuhashi,et al.  A study on the theory of instantaneous reactive power , 1990 .

[46]  Fang Zheng Peng,et al.  Reactive power and harmonic compensation based on the generalized instantaneous reactive power theory for three-phase power systems , 1996 .

[47]  Seong-Jeub Jeon,et al.  Definitions of apparent power and power factor in a power system having transmission lines with unequal resistances , 2005 .

[48]  F. Ghassemi.  What is wrong with electric power theory and how it should be modified , 1999 .

[49]  L. Czarnecki.  Orthogonal decomposition of the currents in a 3-phase nonlinear asymmetrical circuit with a nonsinusoidal voltage source , 1988 .

[50]  Seong-Jeub Jeon.  Considerations on a reactive power concept in a multiline system , 2006, IEEE Transactions on Power Delivery.