An Approach to the Multivectorial Apparent Power in Terms of a Generalized Poynting Multivector

doi:10.2528/PIERB09042402

PIER B
Progress In Electromagnetics Research B	ISSN: 1937-6472

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AN APPROACH TO THE MULTIVECTORIAL APPARENT POWER IN TERMS OF A GENERALIZED POYNTING MULTIVECTOR

By M. Castilla, J. C. Bravo, M. Ordonez, and J. C. Montano

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Abstract:
The purpose of this paper is to explain an exact derivation of apparent power in n-sinusoidal operation founded on electromagnetic theory, until now unexplained by simple mathematical models. The aim is to explore a new tool for a rigorous mathematical and physical analysis of power equation from the Poynting Vector (PV) concept. A powerful mathematical structure is necessary and Geometric Algebra offers such a characteristic. In this sense, PV has been reformulated from a Multivectorial Euclidean Vector Space structure (CG_n-R³) to obtain a Generalized Poynting Multivector (S). Consequently, from S, a suitable multivectorial form (P and D) of the Poynting Vector corresponds to each component of apparent power. In particular, this framework is essential for the clarification of the connection between a Complementary Poynting Multivector (D) and the power contribution due to cross-frequency products. A simple application example is presented as an illustration of the proposed power multivector analysis.

Citation:
M. Castilla, J. C. Bravo, M. Ordonez, and J. C. Montano, "An approach to the multivectorial apparent power in terms of a generalized poynting multivector," Progress In Electromagnetics Research B, Vol. 15, 401-422, 2009.
doi:10.2528/PIERB09042402
http://www.jpier.org/pierb/pier.php?paper=09042402

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