Milton Castro-Nunez

The University of Calgary | HBI · Department of Electrical and Computer Engineering

The circuit analysis approach based on geometric algebra and \(\varvec{M}\), the power definition based on the geometric product between the voltage and the current multivectors, are used here to demonstrate the shortcomings of the traditional definition of the non-sinusoidal apparent power S. The shortcomings of S are illustrated in three ways. Fi...

Abstract: The reactive power in non-sinusoidal circuits is determined here from an energy analysis instead of using the non-sinusoidal apparent power S. In the first of the two energy analyses, circuits previously examined by the currents’ physical components (CPC) power theory are re-examined using the principle of conservation of energy, the bala...

The electrical engineering scientific community since 1892 is seeking a power theory for interpreting the power flow within electric networks under non-sinusoidal conditions. The proliferation of power electronic devices in electrical systems provides added motivation to find such a theory. Some examples of the effort regarding power definitions an...

An alternative circuit analysis technique and its associated power theory is compared to the IEEE Standard 1459 and the current's physical components power theory. The comparison shows that elimination of the fundamental reactive power quantity Q1 as defined by the Standard does not ensure supply current reduction. In contrast elimination of the re...

An alternative circuit analysis technique is used to study networks with nonsinusoidal sources and linear loads. In contrast to the technique developed by Steinmetz, this method is supported by geometric algebra instead of the algebra of complex numbers, uses multivectors in place of phasors and is performed in the GN domain instead of the frequenc...

Geometric algebras of the Euclidean 2-dimensional and 3-dimensional spaces have been used to analyze electric circuits with linear and harmonic generating loads (HGLs). It is shown in this paper that with both loads, time domain signals may be transformed to the Gn domain such that the resulting multivectors permit circuit analysis through rotation...