Currents' Physical Components (CPC) of the Supply Current of Unbalanced LTI Loads at Asymmetrical and Nonsinusoidal Voltage

Bhattarai, P.

doi:10.15199/48.2017.09.06

Cited by 4 publications

(4 citation statements)

References 12 publications

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“…An approach combining frequency components with the CPC theory [37] and referencing the supply voltage to an artificial zero, still does not consider the impedances of the delivery system.…”

Section: Active Currents In the Frequency Domainmentioning

confidence: 99%

Active Currents, Power Factor, and Apparent Power for Practical Power Delivery Systems

Malengret¹,

Gaunt

2020

IEEE Access

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Concepts of apparent power and power factor as measures of a system's power delivery capability are over a century old but have not been defined in one general, rigorous and acceptable way. Instantaneous power is defined precisely, and average power measured over a selected period is widely accepted. The many ways of defining and measuring reactive and apparent power in single and three phase systems are based on different assumptions and give different results in real cases. Building on definitions in the IEEE Standard 1459-2010, this paper formulates in vector space linear algebra and the frequency domain, the active wire currents as those that cause the minimum losses in a network for the power delivered. Power factor measures the relative efficiency of power delivery as defined by the losses. Apparent power consistent with early terminology is the maximum power that can be sourced for the same original line losses and has the unit of power: Watt. It is identified without requiring the contentious concept of reactive and non-active power components. Measurements based on this approach are independent of assumptions about sinusoidal waveform, voltage and current balance, and frequencydependent wire resistances, and apply to power delivery systems with any number of wires. The rigor of this novel general formulation is important for technical design of compensators and inverters; analyzing power system losses, delivery efficiency and voltage stability; and electricity cost allocation and pricing.

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Section: Active Currents In the Frequency Domainmentioning

confidence: 99%

Active Currents, Power Factor, and Apparent Power for Practical Power Delivery Systems

Malengret¹,

Gaunt

2020

IEEE Access

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“…Using (27), we obtained the waveform of the instantaneous value of the current after compensation, shown in figure 12. The waveform of the instantaneous value of the negative current (20) has been shown in Fig. 9.…”

Section: Application Of the Currents' Asymmetrical Components Conceptmentioning

confidence: 99%

“…including the non-zero impedance of the power source (condition of the supply voltage asymmetry), the currents are not orthogonal to each other and relative to the supply voltage. However, in publications [19,20] it has been shown that having regard to the asymmetry of the supply voltage, it is possible to show the orthogonality of currents and voltages.…”

Section: T I T I T T I T I T I T I T I T I T I T I T I Tmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Soljan¹,

Hołdyński²,

Zajkowski³

2019

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The proper description of circuits supplied from an asymmetrical and sinusoidal voltage source, in which line parameters are included, requires an adequate mathematical concept or theory. The authors of the publication present the mathematical concept of the currents' asymmetrical components for three-phase four-wire systems, taking into account the impedance of the neutral conductor and the impedance of power transmission lines. In the new approach, four orthogonal current components were proposed in charge of its flow between the source and the load. The introduced distribution shows, regardless of the type of the voltage asymmetry (amplitude or phase), it is possible to set down the symmetrical active current and other components, i.e. reactive current, negative current and zero current, which will allow determining the reference current of the active filter.

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“…The optimal solution here is to use the theory of Shepherd and Zakikhani [9], but one should remember the inaccuracies of this method. The CPC theory [10][11][12][13][14], whose evolution has accelerated in recent years, can be used to determine the compensator parameters more precisely. Further references can be found in [15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Decomposition of the Voltages in a Three-Phase Asymmetrical Circuit with a Non-Sinusoidal Voltage Source

Zajkowski,

Duer

2023

Energies

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This article presents the concept of a mathematical description of a three-phase, four-wire asymmetrical electric circuit in decomposition into Voltages’ Physical Components (VPC), associated with distinctive physical phenomena in the load. This is an alternative method of mathematical description to the Currents’ Physical Components (CPC) still being developed since the end of the last century. According to previous studies, the improvement of the power factor in three-phase systems is possible by observing several components. Compensation for the scattered power is possible only by using a reactive compensator connected in series with the load. Thanks to the presented analytical method, it is possible to design compensators connected in series with the load. The VPC power theory opens the possibility of improving the power factor in three-phase networks for loads with asymmetry between phases. Due to the unfavorable impact of high currents on the compensator branches, the method proposed in the article can improve the energy quality in local low-power grids. However, the possibility of its practical use in high-power industrial networks is questionable.

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Currents' Physical Components (CPC) of the Supply Current of Unbalanced LTI Loads at Asymmetrical and Nonsinusoidal Voltage

Cited by 4 publications

References 12 publications

Active Currents, Power Factor, and Apparent Power for Practical Power Delivery Systems

Active Currents, Power Factor, and Apparent Power for Practical Power Delivery Systems

Bulletin of the Polish Academy of Sciences: Technical Sciences

Decomposition of the Voltages in a Three-Phase Asymmetrical Circuit with a Non-Sinusoidal Voltage Source

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