Manuel Castilla

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In this paper, a generalization of the concept of electrical power for periodic current and voltage waveforms based on a new generalized complex geometric algebra (GCGA) is proposed. This powerful tool permits, in -sinusoidal/nonlinear situations, representing and calculating the voltage, current, and apparent power in a single-port electrical network in(More)
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 the power equation from the Poynting Vector (PV) concept. A powerful mathematical(More)
Abstract: Since 1892, the electrical engineering scientific community has been seeking a power theory for interpreting the power flow within electric networks under non-sinusoidal conditions. Although many power theories have been proposed regarding non-sinusoidal operation, an adequate solution is yet to be found. Using the framework based on complex(More)
A voltage quality index (VQI) is proposed for evaluation of the voltage quality aspects (QAs) of three-phase voltage signals: instantaneous frequency-deviations, total harmonic distortion and instantaneous symmetrical components. A VQI in the range between 0 to 1 is defined and measured. Accurate measurement of these Qas and VQI are obtained with a virtual(More)
The Fourier transform usually has been used in the past for analysis of stationary and periodic signals. Its interest is the knowledge of spectral components existing in a waveform; it doesn't matter the moment where they happen. However, when the time localization of the spectral components is needed, the Wavelet Transform (WT) can be used to obtain the(More)
In the past the Fourier transform usually has been used for analysis of non-stationary signals, if interested in what the spectral components exist in the signal, and not interested where they occur. However, if this information is needed, i.e., if we want to know in order to analyze the transients, which spectral component occur at what interval of time,(More)
While the common term for describing the harmonic content and the unbalanced loading of the three-phase supply is power quality, it is actually the quality of the voltage that is being addressed in most cases. The power supply system can only control the quality of the voltage; it has no control over the currents that particular loads might draw. Therefore,(More)