Calculation of energy-saving effect from the use of parallel active filters in a three-phase fourwire power supply system with increasing the averaging interval of the measured values
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Abstract
he apparent power of the three-phase four-wire supply system was decomposed into quadratic components under conditions of symmetric sinusoidal phase voltages. It was shown that the power factor for this mode is a product of the shift and asymmetry coefficients, the values of which are determined through the parameters of the symmetrical components of phase voltages and linear currents. The general formulas for calculating of the energy-saving effect from the application of shunt active filters in three-phase four-wire power system for the averaging the load power both on the network period and at any time interval were obtained. It was shown that in a power supply system with a constant in time nonlinear load the gain in the power losses when using shunt active filters is inversely proportional to the square of the power factor determined at the mains voltage period. The improved control law for the shunt active filter of a three-phase four-wire power supply system was proposed, which is distinguished by the increasing of the measured quantities averaging interval. It is shown for the first time that under conditions of stable phase voltage with the increasing of the averaging interval up to the period of the symmetrical load change, the gain coefficient of the power losses increases in comparison with the averaging at the mains voltage period in accordance with the value called the irregular energy consumption coefficient. The values of the irregular energy consumption coefficient for typical curves of the active power changing were obtained. In the case of a rectangular changing of the active power curve, the irregular energy consumption coefficient is determined by two parameters: the growth rate and the duty cycle. Its maximum meaning reaches a value of 2 in the case where the maximum power level is twice the average and the minimum level is zero. For periodic curves of active power, which are approximated by piecewise sinusoidal and piecewise linear dependencies, the irregular energy consumption coefficient is determined by one growth coefficient only regardless of the value of the duty cycle, reaching the maximum values of 3/2 and 4/3, respectively.
Ref. 10, Fig. 2.
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References
H. Akagi, E. H. Watanable and M. Aredes, Instantaneous power theory and applications to power conditioning, Piscataway, NJ: IEEE Press, 2007, p. 379. ISBN: 978-0-470-10761-4.
S. R. Patricio, P. T. Jaime and P. L. Salvador, Active power line conditioners: design, simulation and implementation for improving power quality, London; San Diego: Academic Press, 2016, p. 421. ISBN: 978-0128032169
L. S. Czarnecki, «Currents’ Physical Components (CPC) concept: a fundamental of Power Theory,» Przegląd Elektrotechniczny, т. 84, № 6, p. 28–37, 2008.
A. E. Emanuel, Power Definitions and the Physical Mechanism of Power Flow, John Wiley & Sons, Ltd, 2010. DOI: 10.1002/9780470667149
R. Drechsler, Izmerenie i otsenka kachestva elektroenergii pri nesimmetrichnoy i nelineynoy nagruzke: Per. s cheshsk [Measurement and evaluation of the quality of electric power with asymmetric and non-liner load: translation from Czech], Moskow: Energoatomizdat, 1985, p. 112.
G. G. Zhemerov, I. F. Domnin, O. V. Ilina и D. V. Tugay, «Energoeffektivnost' korrektsii fazy toka i kompensatsii pul'satsiy aktivnoy i reaktivnoy moshchnosti v trekhfaznoy sisteme elektrosnabzheniya [Energy efficiency correction phase current ripple compensation and active and reactive power in a three phase power supply system]» Tehnіchna elektrodynamika, № 1, pp. 52-57, 2007.
M. Y. Artemenko и V. V. Kaplun, «Enerhoefektyvnistʹ paralelʹnykh aktyvnykh sylovykh filʹtriv tryfaznykh system elektrozhyvlennya [Energy efficient of shunt active filter for three-phase rower system],» Bulletin of the Kyiv National University of Technologies and Design, № 5 (102), p. 11–19, 2016.
M. Y. Artemenko, L. M. Batrak, V. M. Mykhalskyi и S. Y. Polishchuk, «Optymizatsiya enerhetychnykh kharakterystyk tryfaznoyi chotyryprovidnoyi systemy zhyvlennya z paralelʹnym aktyvnym filʹtrom u nesymetrychnomu synusoyidnomu rezhymi [Energy performance optimization of the three phase four wire power supply system with a parallel active filter in the unbalanced sinusoidal mode],» Tekhnichna Elektrodynamika, № 2, pp. 30-37, 2015.
Y. A. Sirotin, «ektornaya mgnovennaya moshchnost' i energeticheskiye rezhimy trekhfaznykh tsepey [Vector instantaneous power and energy regimes of three-phase circuits],» Tekhnichna Elektrodynamika, № 6, p. 57–65, 2013.
M. Y. Artemenko, Potuzhnistʹ system elektrozhyvlennya ta enerhoefektyvnistʹ sylovykh filʹtriv [Power of supply systems and energy efficiency of power filters], Kyiv: Avers, 2016, p. 216. ISBN: 978-966-8777-09-7
