{"title":"Compensation\u2013Based Current Decomposition","authors":"Mihaela Popescu, Alexandru Bitoleanu, Mircea Dobriceanu","volume":25,"journal":"International Journal of Physical and Mathematical Sciences","pagesStart":21,"pagesEnd":27,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6853","abstract":"This paper deals with the current space-vector\ndecomposition in three-phase, three-wire systems on the basis of\nsome case studies. We propose four components of the current spacevector\nin terms of DC and AC components of the instantaneous\nactive and reactive powers. The term of supplementary useless\ncurrent vector is also pointed out. The analysis shows that the current\ndecomposition which respects the definition of the instantaneous\napparent power vector is useful for compensation reasons only if the\nsupply voltages are sinusoidal. A modified definition of the\ncomponents of the current is proposed for the operation under\nnonsinusoidal voltage conditions.","references":"[1] S. Fryze, \"Active, reactive and apparent power in circuits with\nnonsinusoidal voltage and current,\" Przegl. Elektrotech, vol. 7, pp. 193-\n203, 1931.\n[2] M. Depenbrock, \"Some remarks to active and fictitious power in\npolyphase and single-phase systems,\" Europ. Trans. on Electrical\nPower, vol. 3, pp. 15-19, 1993.\n[3] H. Akagi, Y. Kanazawa, and A. Nabae, \"Generalized theory of the\ninstantaneous reactive power in three-phase circuits,\" in Proc. Int.\nPower Electronics Conf., Tokyo, Japan, pp. 1375-1386, 1983.\n[4] H. Akagi and A. Nabae, \"The p-q theory in three-phase systems under\nnon-sinusoidal conditions,\" Europ. Trans. on Electrical Power, vol. 3,\nno. 1, pp. 27-31, 1993.\n[5] M. Aredes and E. H. Watanabe, \"New control algorithms for series and\nshunt three-phase four-wire active power filters,\" IEEE Trans.Power\nDelivery, vol. 10, no. 3, pp. 1649-1656, 1995.\n[6] F. Z. Peng, G. W. Ott, and D. J. Adams, \"Harmonic and reactive power\ncompensation based on the generalized instantaneous reactive power\ntheory for three-phase four-wire systems,\" IEEE Trans. On Power\nElectronics, vol. 13, no. 6, pp. 1174-1181, 1998.\n[7] M. Depenbrock, V. Staudt, and H. Wrede, \"Concerning instantaneous\npower compensation in three-phase systems by using p-q-r theory,\"\nIEEE Trans. on Power Electronics, vol. 19, no. 4, pp. 1151-1152, 2004.\n[8] J. L. Willems, \"A new interpretation of the Akagi-Nabae power\ncomponents for non-sinusoidal three-phase situations,\" IEEE\nTransactions on Instrumentation and Measurement, vol. 41, no. 4, pp.\n523-527, 1992.\n[9] J. L. Willems, \"Discussion of generalized theory of instantaneous\nreactive quantity for multiphase power system,\" IEEE Transactions on\nPower Delivery, vol. 21, no. 1, pp. 541 - 541, 2006.\n[10] L. S. Czarnecki, \"On some misinterpretations of the onstantaneous\nreactive power p-q theory,\" IEEE Trans. on Power Electronics, vol. 19,\nno. 3, pp. 828-836, 2004.\n[11] L. S. Czarnecki, \"Instantaneous reactive power p-q theory and power\nproperties of three-phase systems,\" IEEE Trans. on Power Delivery, vol.\n21, no. 1, pp. 362-367, 2006.\n[12] L. S. Czarnecki, \"Orthogonal decomposition of the current in a\nthreephase nonlinear asymmetrical circuit with nonsinusoidal voltage,\"\nIEEE Trans. on Instrum. Meas., vol. IM-37, no. 1, pp. 30-34, 1988.\n[13] L. S. Czarnecki, \"Physical interpretation of the reactive power in terms\nof the CPC power theory,\" Electrical Power Quality and Utilization\nJournal, vol. XIII, no.1, pp. 89-95, 2007.\n[14] F. de Leon and J. Cohen, \"Discussion of \"Instantaneous reactive power\n- theory and power properties of three-phase systems\",\" IEEE Trans.\nPower Delivery, vol. 23, no. 3, pp. 1693-1694, July 2008.\n[15] L. S. Czarnecki, \"Closure on \"Instantaneous reactive power - theory and\npower properties of three-phase systems\",\" IEEE Trans. Power Delivery,\nvol. 23, no. 3, pp. 1695-1696, July 2008.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 25, 2009"}