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Power Tensor Theory and Continuous Wavelet Transform
Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
- 1 Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
- 2 Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
- 3 Departmentof Electrical, Electronic and Computer Engineering, National University of Colombia, Manizales, Colombia
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 130–135·Published 21 June 2012·DOI10.4236/ajcm.2012.22018
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Abstract
A model for the definition of electrical Power is presented, which retrieves the concepts of homomorphism from the geometrical tensor approximation at the wavelet approach. Their definition here is nevertheless different in that it considers both tensor algebra and wavelet operators, solving thus most of the problems usually associated with the numerical methods.
KeywordsWaveletsTensorElectrical PowerPower ElectronicPower Quality
- E. Cano Plata, H. E. Tacca and C. E. D’Attellis, “Load Detection and Classification Using Wavelets and Instantaneous Power Signal,” Proceedings of International Conference in Power Quality, Perth, 4-7 October 2000, pp. 761-774.
- IEEE Task Force on Harmonics Modeling and Simulation, “Modeling and Simulation of the Propagation of Harmonics in Electric Power Networks, Part I, Concepts, Models, and Simulation Techniques,” IEEE Transactions on Power Delivery, Vol. 11, No. 1, 1996, pp. 452-465. doi:10.1109/61.484130
- IEEE Task Force on Harmonics Modeling and Simulation, “Modeling and Simulation of the Propagation of Harmonics in Electric Power Networks, Part II, Sample Systems and Examples,” IEEE Transactions on Power Delivery, Vol. 11, No. 1, 1996, pp. 466-474. doi:10.1109/61.484131
- IEEE Task Force on Harmonics Modeling and Simulation, “Modeling and Simulation of Power System Harmonics, Chapter 11,” IEEE Press, Piscataway, 1998.
- W. H. Kersting, “Radial Distribution Test Feeders,” IEEE Transaction on Power Systems, Vol. 6, No. 3, 1991, pp. 975-985. doi:10.1109/59.119237
- Alberta University. http://www.ee.ualberta.ca/pwrsys/IEEE
- I. Daubechies “Ten Lectures on Wavelets,” Society for Industrial and Applied Mathematics, Philadelphia, 1992.
- M. Vetterli, J. Kovacevic, “Wavelets and Subband Coding,” Prentice Hall, Upper Saddle River, 1995.
- G. Strang and T. Nguyen, “Wavelets and Filter Banks,” Wellesley-Cambridge Press, Wellesley Hills, 1996.
- C. E. D’Attellis, M. T. Anaya, M. I. Cavallaro and F. F. Villaverde, “Introducción a las Onditas—Una Presentación para Curso de Grado de Ingeniería con Matlab,” Editorial Nueva Librería, Buenos Aires, 1995.
- X. Dai, G. Liu and R. Gretsch, “Generalized Theory of Instantaneous Reactive Quantity for Multi-Phase Power System,” IEEE Transaction on Power Delivery, Vol. 19, No. 3, 2004, pp. 965-972. doi:10.1109/TPWRD.2004.829914
- P. Salmerón and R. S. Herrera, “Instantaneous Reactive Power Theory—A General Approach to Poly-Phase Systems,” Electric Power Systems Research, Vol. 79, No. 9, 2009, pp. 1263-1270. doi:10.1016/j.epsr.2009.03.007
- A.J. Ustariz, E.A. Cano and H.E. Tacca, “Tensor analysis of the instantaneous power in electrical networks,” Electric Power Systems Research, Vol. 80, No. 7, 2010. doi:10.1016/j.epsr.2009.12.004