Proceedings of the RHSAS

PROCEEDINGS OF THE RUSSIAN HIGHER SCHOOL
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№2(67) April - June 2025

HARMONIC ANALYSIS OF THE INSTANTANEOUS POWER QUATERNION OF AN ARBITRARY-TYPE THREE-PHASE LOAD

Issue No 1 (26) January-March 2015
Authors:

Nos Oleg Viktorovich
DOI: http://dx.doi.org/10.17212/1727-2769-2015-1-75-84
Abstract
Currently one of the most effective ways to implement energy saving principles in ac three-phase systems is using active power filters. They are typically designed for power conditioning including the harmonic filtering, load balancing, power factor correction, resonance damping, voltage-flicker reduction, etc. The basic control strategy of the compensation for active power filters was proposed in the early 1980s by Prof. H. Akagi. According to this approach instantaneous power is decomposed into three independent components. One of them is a three-dimensional vector, which leads to a contradiction with the mathematical description of this scalar unit. However using hypercomplex number algebra in terms of which general requirements to the desired state of instantaneous power are formulated allows us to overcome this theoretical disadvantage . In this context it is suggested that compensating actions should consist of inactive components of the ac electrical flows caused by asymmetric or/and nonlinear load circuits.
Keywords: three-phase load, instantaneous power quaternion, harmonic analysis, control strategy of compensation, active power filter

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