Progress In Electromagnetics Research B
ISSN: 1937-6472
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By M. Castilla, J. C. Bravo, M. Ordonez, and J. C. Montano

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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 (CGn-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.

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.

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