Power definitions for three-phase systems in terms of instantaneous symmetrical components

Mikulović, Jovan; Šekara, Tomislav B.; Forcan, Miodrag

doi:10.1016/j.ijepes.2022.108808

Cited by 7 publications

(2 citation statements)

References 30 publications

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“…In the context of steady-state analysis, complex numbers and matrix algebra have traditionally been used, along with the Fourier transform in the frequency domain. In the case of multiphase systems, the Fortescue transform (symmetrical components) has proven useful for simplifying the process for unbalanced or asymmetrical systems [9], [10], [11]. However, the interactions between different harmonics and phases involved in the phenomenon of apparent (reactive) power flow cannot be fully addressed using standard mathematical tools such as matrices and complex numbers [12].…”

Section: B Background and Literature Reviewmentioning

confidence: 99%

Geometric Foundations of Power Theory for Multiphase AC Systems in the Frequency Domain

Montoya¹,

Ventura²,

Arrabal-Campos³

et al. 2023

Preprint

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<p>This research paper presents a new approach to power definitions in multiphase AC systems in the frequency domain from a purely geometric approach. The theoretical foundation is based on Geometric Algebra (GA) framework, which enables the representation of harmonic voltages and currents as multidimensional vectors in Euclidean space. The use of the geometric product allows to compute the geometric power multivector. The proposed method is a generalization and extension of previous works that have focused on single- phase and balanced three-phase systems. This paper introduces a complete analysis of new power terms in arbitrary multi- phase electrical systems entirely rooted on Geometric Algebra and Symmetrical Components. Several synthetic and real-world examples are presented to illustrate the novelty, effectiveness and accuracy of the proposed approach. The results of this study contribute to the development of a new geometric foundation for the power theory in electrical engineering. </p>

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Section: B Background and Literature Reviewmentioning

confidence: 99%

Geometric Foundations of Power Theory for Multiphase AC Systems in the Frequency Domain

Montoya¹,

Ventura²,

Arrabal-Campos³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Once transformed to the α-β coordinates, the instantaneous active power (Pi) and reactive power (Qi) are calculated using Eq. ( 6) [23].…”

Section: Power Calculationmentioning

confidence: 99%

Finite Control Set MPC for Voltage and Frequency Stabilization in Islanded AC Microgrids with Line Impedance Consideration and Enhanced Power Sharing Control

Grairia,

Toufouti

2023

JESA

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This paper presents a hierarchical wireless control scheme for parallel distributed generation (DG) units in islanded AC microgrids. The proposed control scheme is divided into primary and secondary control layers. The primary control layer includes an improved finite set-model predictive control (FS-MPC) with a dualobjective cost function based on the proposed droop approach. The benefit of the proposed droop approach is the ability to generate the reference voltage without any amplitude deviation, unlike the conventional droop technique, which may cause deviations. Furthermore, double virtual impedances are proposed, with the first one being used to reduce the effects of feeders' mismatched impedance, while the second one is used to increase the output impedance resistance, leading to enhanced accuracy of active and reactive power sharing among DG units. The secondary control layer helps to establish global controllability by keeping the frequency and amplitude voltage of the AC bus at their nominal values. The simulation results show that the proposed control is capable of ensuring appropriate power sharing among parallel DG units and achieving voltage quality at the AC bus under different load conditions.

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Adaptive control of a single source reduced switch MLI-based DSTATCOM for wind energy conversion system

Selvam,

Palraj,

Madasamy

2024

Electr Eng

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Power definitions for three-phase systems in terms of instantaneous symmetrical components

Cited by 7 publications

References 30 publications

Geometric Foundations of Power Theory for Multiphase AC Systems in the Frequency Domain

Geometric Foundations of Power Theory for Multiphase AC Systems in the Frequency Domain

Finite Control Set MPC for Voltage and Frequency Stabilization in Islanded AC Microgrids with Line Impedance Consideration and Enhanced Power Sharing Control

Adaptive control of a single source reduced switch MLI-based DSTATCOM for wind energy conversion system

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