A Poynting Vector Approach to the Study of the Steinmetz Compensator

Todeschini, Grazia; Emanuel, A.E.; Ferrero, Alessandro; Morando, A.P.

doi:10.1109/tpwrd.2007.899766

Cited by 8 publications

(13 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In one-ports under periodic multi-sinusoidal linear/non-linear operation this issue has still some fundamental unsolved aspects. Nevertheless, some progress has unquestionably been made from numerous valuable contributions in the literature [8][9][10][11][12][13][14][15][16][17][18][19][20][21], each one of them trying to clarify different aspects of the problem by applying the classic Poynting vector (PV) concept. Among them [8,9,14,15] masterfully explain the power factor concept and the physical mechanism of energy propagation in electric power systems; Ferrero et al in [17] reconsiders the physical meaning assigned to the non-active components of the Park instantaneous power; Balci et al in [20] describes the transition between PV and instantaneous active and reactive powers; and Faria et al in [11] computes the instantaneous power directly from Maxwell's equations together with the evaluation of the PV flux.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Among them [8,9,14,15] masterfully explain the power factor concept and the physical mechanism of energy propagation in electric power systems; Ferrero et al in [17] reconsiders the physical meaning assigned to the non-active components of the Park instantaneous power; Balci et al in [20] describes the transition between PV and instantaneous active and reactive powers; and Faria et al in [11] computes the instantaneous power directly from Maxwell's equations together with the evaluation of the PV flux. On the other hand, several applications are given by means of PV: Lundin et al in [10] analyses synchronous generators using field simulations; De León et al in [12] identifies terms in nonlinear-switched circuits; Cheng et al in [13] calculates the reactive power of iced transmission line; Todeschini et al in [16] detects and explains the process of compensation and restoration of symmetry in an unbalanced system and Stahlhut et al in [21] examines critically the PV possibilities in the area of instrumentation of losses. However, critics of PV calculations [18,19] argue that electromagnetic theory is useless for practical applications of electric power theory.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Moreover, the flux of the Complementary Poynting Multivector is given by is the non-active power bivector called distortion power. Through (9), (16) and (18), it can be observed that the energy flow that it is originated from the surface of the source in the electrical system equals the flow that enters in the load surface.…”

Section: S U I U I U Imentioning

confidence: 99%

See 2 more Smart Citations

Geometric Objects: A Quality Index to Electromagnetic Energy Transfer Performance in Sustainable Smart Buildings

Bravo

Castilla

2018

Symmetry

View full text Add to dashboard Cite

Sustainable smart buildings play an essential role in terms of more efficient energy. However, these buildings as electric loads are affected by an important distortion in the current and voltage waveforms caused by the increasing proliferation of nonlinear electronic devices. Overall, buildings all around the world consume a significant amount of energy, which is about one-third of the total primary energy resources. Optimization of the power transfer process of such amount of energy is a crucial issue that needs specific tools to integrate energy-efficient behaviour throughout the grid. When nonlinear loads are present, new capable ways of thinking are needed to consider the effects of harmonics and related power components. In this manner, technology innovations are necessary to update the power factor concept to a generalized total or a true one, where different power components involved in it calculation, properly reflect each harmonic interaction. This work addresses an innovative theory that applies the Poynting Vector philosophy via Geometric Algebra to the electromagnetic energy transfer process providing a physical foundation. In this framework, it is possible to analyse and detect the nature of disturbing loads in the exponential growth of new globalized buildings and architectures in our era. This new insight is based on the concept of geometric objects with different dimension: vector, bivector, trivector, multivector. Within this paper, these objects are correlated with the electromagnetic quantities responsible for the energy flow supplied to the most common loads in sustainable smart buildings. Besides, it must be considered that these phenomena are characterized by a quality index multivector appropriate even for detecting harmonic sources. A numerical example is used to illustrate the clear capabilities of the suggested index when it applies to industrial loads for optimization of energy control systems and enhance comfort management in smart sustainable buildings.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

See 1 more Smart Citation

Geometric Objects: A Quality Index to Electromagnetic Energy Transfer Performance in Sustainable Smart Buildings

Bravo

Castilla

2018

Symmetry

View full text Add to dashboard Cite

show abstract

“…As a result, the system cannot be completely balanced when operating in harmonic distortion conditions. The interest towards the conceptual meaning and performance of the Steinmetz circuit has been revitalized in recent years [3], in the light of new theoretical advances based on the application of the Poynting vector [4], as well as for investigating harmonic response properties [5][6][7][8][9]. This paper addresses the Steinmetz compensation of unbalanced systems in the presence of distorted voltage and current waveforms.…”

Section: Introductionmentioning

confidence: 99%

“…With respect to various methods used in the literature for dealing with harmonics in unbalanced systems, for instance [12][13][14][15], the framework [10] provides explicit definitions of a set of balance, unbalance and distortion components, able to assist the characterization of the properties of the Steinmetz circuitry under waveform distortion by identifying to what extent the desired operation of such a circuitry is affected by the distortion components. The calculations are carried out on a simple scheme of unbalanced system taken from the recent literature [4], compensated by using the Steinmetz circuit with parameters set up according to the classical rules without considering waveform distortion. However, the nature of the results obtained is of general interest for any type of system to be compensated through the Steinmetz circuit.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Steinmetz compensation circuit with distorted waveforms through symmetrical component-based indicators

Chicco

Chindris

Cziker

et al. 2009

2009 IEEE Bucharest PowerTech

View full text Add to dashboard Cite

This paper deals with the use of a set of indicators defined within a symmetrical component-based framework to study the characteristics of the Steinmetz compensation circuit in the presence of waveform distortion. The Steinmetz circuit is applied to obtain balanced currents in a three-phase system supplying a single-phase load. The circuit is analyzed without and with harmonic distortion of the supply voltages. The compensation effect is represented by the classical unbalance factor and by the Total Phase Unbalance (TPU) indicator defined in the symmetrical component-based framework. Comparing the two indicators, it is shown that the classical unbalance factor is insufficient to represent the effect of voltage distortion and fails to detect the lack of total unbalance compensation occurring with distorted waveforms. Correct information is provided by calculating the TPU indicator.

show abstract

New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits

Montoya

Prado

Arrabal-Campos

et al. 2023

Sci Rep

View full text Add to dashboard Cite

This study proposes an explanation for the physical power flow in planar circuits by analogy to theoretical two-dimensional circuits using a new mathematical model based on Geometric Algebra (GA) and 2D Maxwell’s equations. In contrast with traditional 3D physics in the observable real world, the magnetic field can be defined as a bivector instead of an axial vector allowing to obtain the Poynting Vector directly in a 2D flat world, where physical variables of planar circuits can be obtained. This approach is presented here for the first time to the best of the author’s knowledge. Previous investigations have focused on simplifications and symmetries of real 3D circuits studied mainly in the phasor and frequency domain. In this work, the electromagnetic power flow phenomenon is analyzed on a completely 2D time-domain basis and derived directly from the undisputed Maxwell equations, formulated in two dimensions. Several cases of special interest in AC multi-phase circuits are presented using the proposed technique, bringing a new simplified approach to the measurement of power flow exchange between the source and the load. It suggests a new way to understand energy propagation from a purely physical point of view.

show abstract

A Poynting Vector Approach to the Study of the Steinmetz Compensator

Cited by 8 publications

References 2 publications

Geometric Objects: A Quality Index to Electromagnetic Energy Transfer Performance in Sustainable Smart Buildings

Geometric Objects: A Quality Index to Electromagnetic Energy Transfer Performance in Sustainable Smart Buildings

Analysis of the Steinmetz compensation circuit with distorted waveforms through symmetrical component-based indicators

New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits

Contact Info

Product

Resources

About