Quaternion Control of Four-Leg Inverter for Distribution System with Harmonic-Producing Load

Nos, Oleg V.; Korovin, Aleksandr V.; Nos, Natalja I.; Kucher, Ekaterina S.

doi:10.1109/icepds47235.2020.9249331

Cited by 4 publications

(5 citation statements)

References 22 publications

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“…For analysis of power systems under unbalanced conditions, there are several approaches for the characterization of electrical voltage, current, and power [1]- [11]. These characterizations can be classified into two different domains: the time-domain and the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

“…Particularly, the time-domain characterization has been utilized to develop powerful analysis tools [1]- [11]. In [1], the instantaneous p-q power theory is proposed employing the Clark transformation of instantaneous voltages and currents of a three-phase system.…”

Section: Introductionmentioning

confidence: 99%

“…All the above mentioned authors considered instantaneous space vectors to represent voltages and currents. More recently, some researchers have investigated instantaneous power quantities using a more general mathematical setting such as geometric algebra, tensor analysis, and quaternion algebra [4]- [11].…”

Section: Introductionmentioning

confidence: 99%

“…A framework based on quaternions seems to be promising for analysis of several problems in power systems and has already produced some interesting results [8]- [11]. In [8], the electromagnetic transients in a three-phase squirrel-cage induction motor were analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…More specifically, with quaternions, it is possible to define three-phase electrical quantities analogously to singlephase's with phasors. In [11], quaternions were applied for instantaneous compensation of distorting effects in an inverter.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Three-phase Quaternion Power in Three-wire Systems

Komeno¹,

Filho²,

Ishihara³

et al. 2021

REPQJ

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Instantaneous power theory has a central role in power systems analysis. Among mathematical settings used for the development of this theory, quaternion algebra has been used for describing electrical variables in recent works. In this context, this paper aims to describe three-phase power in a quaternion framework. We analyze quaternion power for balanced and unbalanced delta loads, comparing the expressions obtained to the usual expressions of complex power. The quaternion power expression obtained also makes it natural to introduce a decomposition of the unbalanced load in terms of a balanced component and an unbalanced load with null average power. It is also shown that delta unbalanced loads are equivalent to time-varying balanced loads. The results obtained extend the power systems theory in the quaternion domain and emphasize the advantages of using this framework.

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Section: Introductionmentioning

confidence: 99%