Suggested definition of reactive power for nonsinusoidal systems

Shepherd, W.; Zakikhani, P.

doi:10.1049/piee.1972.0268

Cited by 69 publications

(73 citation statements)

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“…is the same that the reactive power proposed by Shepherd [4], Sharon [5], and Czarnecki [9] on linear operation. The scattered power defined in [8] coincides with { } 4500…”

Section: P (T) = Q (T)+ P (T)+ P (T)+ Q (T)supporting

confidence: 71%

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Considerations on the non-active power using geometric algebra

Castilla

Bravo

Montañó³

et al. 2011

2011 International Conference on Power Engineering, Energy and Electrical Drives

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Abstract-Several approaches have been developed to define the non-active power concept under nonsinusoidal situations in electrical systems. Nevertheless, these contributions do not provide a complete and satisfactory solution to the non-active power reversibility between frequency domain and time domain. This paper presents a non-active power multivector concept, based on an original vector space frequency-domain approach that bridges the gap between both domains. The suggested correspondence can provide a convenient descriptive language to reconcile Fryze's instantaneous non-active power with Budeanu´s deactive-power. To clarify this correspondence, a basis example is considered. IndexTerms-Non-active power, apparent power, instantaneous power, multivector, geometric algebra.

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“…is the same that the reactive power proposed by Shepherd [4], Sharon [5], and Czarnecki [9] on linear operation. The scattered power defined in [8] coincides with { } 4500…”

Section: P (T) = Q (T)+ P (T)+ P (T)+ Q (T)supporting

confidence: 71%

“…Motivated by these theories, numerous valuable articles have appeared [3][4][5][6][7][8][9][10][11][12][13] although none considers the multivectorial character of apparent power components.…”

Section: B Literature Reviewmentioning

confidence: 99%

Considerations on the non-active power using geometric algebra

Castilla

Bravo

Montañó³

et al. 2011

2011 International Conference on Power Engineering, Energy and Electrical Drives

View full text Add to dashboard Cite

show abstract

“…Since Lyon reported that the current in an ac system cannot be optimum [1], reactive power has been blamed for increased transmission losses, and reactive power compensation at the load side has been considered very important because it minimizes transmission loss [2][3][4][5][6][7][8][9][10]. In transmision systems, a series compensation is effective and being used [2].…”

Section: Introductionmentioning

confidence: 99%

“…The advent of power electronics made harmonics proliferous in power systems. More complicated and sophistigated compensator is needed [3][4][5][6][7][8][9][10]. In this paper, a series-parallel compensation which is very effective in compensating a nonlinear load whose impedances are given and in isolating a power source from a harmonic-polluted load, is studied.…”

Section: Introductionmentioning

confidence: 99%

Passive Series-Parallel Compensator for Non-sinusoidal Power System

Seong-Jeub Jeon

2024

RE&PQJ

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Abstract.In this paper, a simple but clear method finding an L-C network satisfying reactances or susceptances at given frequencies is proposed. Applying this method to synthesizing series-parallel compensator, unity power factor can be obtained when frequency-dependent impedances of nonlinear load are given. A series-parallel compensator can also be used to isolate a load from a source with respect to harmonics.

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“…Since the appearance of the first power theory developed by Budeanu in 1927, significant research efforts [3][4][5][6][7][8][9][10][11] have been made to find out a valid definition of the apparent power in n-sinusoidal situations by analysing the harmonic effects on linear and nonlinear loads. However, these works have been directed towards particular decompositions of the apparent power that only address the problem partially, focusing on different objectives such as mathematical meaning, physical meaning, power factor improvement, distortionless conditions, power quality improvement, etc.…”

Section: Introductionmentioning

confidence: 99%

Energy Conservation Law in Industrial Architecture: An Approach through Geometric Algebra

Bravo¹,

Castilla²

2016

Symmetry

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Since 1892, the electrical engineering scientific community has been seeking a power theory for interpreting the power flow within electric networks under non-sinusoidal conditions. Although many power theories have been proposed regarding non-sinusoidal operation, an adequate solution is yet to be found. Using the framework based on complex algebra in non-sinusoidal circuit analysis (frequency domain), the verification of the energy conservation law is only possible in sinusoidal situations. In this case, reactive energy turns out to be proportional to the energy difference between the average electric and magnetic energies stored in the loads and its cancellation is mathematically trivial. However, in industrial architecture, apparent power definition of electric loads (non-sinusoidal conditions) is inconsistent with the energy conservation law. Up until now, in the classical complex algebra approach, this goal is only valid in the case of purely resistive loads. Thus, in this paper, a new circuit analysis approach using geometric algebra is used to develop the most general proof of energy conservation in industrial building loads. In terms of geometric objects, this powerful tool calculates the voltage, current, and apparent power in electrical systems in non-sinusoidal, linear/nonlinear situations. In contrast to the traditional method developed by Steinmetz, the suggested powerful tool extends the concept of phasor to multivector-phasors and is performed in a new Generalized Complex Geometric Algebra structure (CGn), where Gn is the Clifford algebra in n-dimensional real space and C is the complex vector space. To conclude, a numerical example illustrates the clear advantages of the approach suggested in this paper.

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Suggested definition of reactive power for nonsinusoidal systems

Cited by 69 publications

References 0 publications

Considerations on the non-active power using geometric algebra

Considerations on the non-active power using geometric algebra

Passive Series-Parallel Compensator for Non-sinusoidal Power System

Energy Conservation Law in Industrial Architecture: An Approach through Geometric Algebra

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