Limits in Application of Main Power Theories for Calculation of Active and Apparent Powers in Linear and Non-Linear Circuits and Systems

Abstract

The active and apparent powers of two converter circuits with different spectrums of their input and output are calculated. The first circuit is a single phase bridge with pure resistive load. This circuit is linear one, with sinusoidal input and non-sinusoidal output. The main power theories allow obtaining the correct results. The second circuit is a simple series diode resistance connection. This circuit is one with nonlinear input (sinusoidal voltage and non-sinusoidal current) and linear non-sinusoidal output. The main power theories do not allow obtaining the correct results of apparent power calculation. The conclusion drawn is that the main power theories allow obtaining the correct results of active power calculations of linear and non-linear circuits. These theories can't be applied for the apparent power calculations of nonlinear circuits and systems. Keywords-main powers; limits in application; calculation of active and apparent powers

Improvement of the energy processes analysis method of electromechanical systems with semiconductor converters

“…cuits with semiconductor converters made it possible to come to a significant conclusion. The analysis of the signals of current, voltage and power only in the time domain, i. e. only with the use of instantaneous values of electric units, does not provide obtaining maximum information as to operation of the "power supply network -nonlinear load" system [1,2,5].…”

“…The problem of research of the processes taking place in circuits with semiconductor converters, being elements with explicit nonlinearity, is still topical nowadays [1][2][3][4][5]. The basic issues that researchers face during the analysis of such systems include the following ones: identification of the regularities and improvement of the efficiency of energy conversion [1][2][3], determination of the nature of reactive power occurrence [5], development of efficient methods for the current calculation [6,7].…”

Analysis of electric circuits with semiconductor converters with the use of a small parameter method in frequency domain

“…issues of their concern include: determination of the regularities and improvement of the efficiency of energy conversion (Czarnecki, 2007;Osnach, 2009Osnach, , 2010Osnach, , 2011Slonim, 2011;Zagirnyak et al, , 2013Kalinov and Maliakova, 2010), determination of the nature of occurrence of reactive power (Czarnecki, 2007;Osnach, 2009), development of efficient methods for calculation of currents (Zagirnyak et al, 2013;Kalinov and Maliakova, 2010). Circuits operation is known to be described by nonlinear differential equations whose solution enables determination of currents flowing in the circuit.…”

“…Nowadays the problem of investigation of the processes taking place in circuits with semiconductor converters, being elements with explicit nonlinearity, is still topical (Czarnecki, 2007;Osnach, 2009Osnach, , 2010Osnach, , 2011Slonim, 2011;Zagirnyak et al, , 2013Kalinov and Maliakova, 2010). When investigators analyze such systems, the main…”

Development of the analitical method for nonlinear circuits analysis with the use of the admittance and resistance orthogonal components

“…The calculation of nonlinear electric circuits is known to be the basis of the analysis of various electric engineering devices [1][2][3][4][5][6], as nonlinearity is inherent in practically all electrical engineering devices without exception [7][8][9][10][11][12][13][14]. The calculation of nonlinear electric circuits comes to the solution of the direct (currents are determined by the known parameters of the circuit) and the inverse (the circuit parameters are determined by the known values of current and voltage) problems of electrical engineering [15,16].…”