Why the power theory has a limited contribution to studies on the supply and loading quality?

Czarnecki, Leszek S.

doi:10.1109/ichqp.2018.8378884

Cited by 7 publications

(5 citation statements)

References 34 publications

(41 reference statements)

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“…This implies that the ratio between any two pair of their coordinates should be the same. Therefore, comparing termto-term of K in (11) with K osc in (14) we observe that the ratios of the coordinates of bivectors e 23 and e 12 give G and bivectors e 31 and e 12 give Γ:…”

Section: Derivation Of the Parallel Equivalent Circuitmentioning

confidence: 97%

Determination of Instantaneous Powers From a Novel Time-Domain Parameter Identification Method of Non-Linear Single-Phase Circuits

Montoya

León

Arrabal-Campos

et al. 2022

IEEE Trans. Power Delivery

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This paper proposes a systematic method for the identification of the load circuit parameters (say the R, L, and C elements) based only on the information of the instantaneous voltage and current measured at the point of common coupling (pcc). Geometric Algebra (GA) and concepts of differential geometry are used to produce a rigorous mathematical framework. The identification is formulated as a multidimensional geometrical problem that is solved conveniently by means of GA. Once the passive elements of the load have been identified, the active and reactive powers can be computed from first electromagnetic principles (Maxwell Equations). The theory is general and is verified with linear and nonlinear circuits. The paper shows single-phase circuits but the theory can be extended to threephase circuits. The method is easy to program and has shown to be very robust for all tested cases. Because of its generality, the method presented will find applications beyond electric circuits.

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Section: Derivation Of the Parallel Equivalent Circuitmentioning

confidence: 97%

Determination of Instantaneous Powers From a Novel Time-Domain Parameter Identification Method of Non-Linear Single-Phase Circuits

Montoya

León

Arrabal-Campos

et al. 2022

IEEE Trans. Power Delivery

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“…The CPC power theory identifies active, reactive, scattered, load generated, and three unbalanced sequence current components [13]. Various applications are constrained by different assumptions, such as loads being linear and time-invariant, or by decomposition into symmetrical components of a three-phase system [14] [15] [16].…”

Section: B Power Parameters Research During the Past 10 Yearsmentioning

confidence: 99%

“…This projection vector (by the property of linear algebra), which has minimum length (i.e. || A ′ || 2 is the minimum possible sum of squares, representing line losses) and conforms to the solution space constraints, namely Kirchhoff's current law (18..16), will deliver the same power PPCC as the original line current vector IS (13).…”

Section: G Thévenin Power and Multiplier Kamentioning

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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“…In a future publication, we will discuss the benefits of TT to the persistent challenge of developing a power theory that explains energy flow in both, sinusoidal and non‐sinusoidal conditions [34–39].…”

Section: Compensation Theorem (Ct)mentioning

confidence: 99%

Theorems of compensation and Tellegen in non‐sinusoidal circuits via geometric algebra

Castro-Núñez¹,

Londoño-Monsalve

Castro-Puche³

2019

J. eng.

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Why the power theory has a limited contribution to studies on the supply and loading quality?

Cited by 7 publications

References 34 publications

Determination of Instantaneous Powers From a Novel Time-Domain Parameter Identification Method of Non-Linear Single-Phase Circuits

Determination of Instantaneous Powers From a Novel Time-Domain Parameter Identification Method of Non-Linear Single-Phase Circuits

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

Theorems of compensation and Tellegen in non‐sinusoidal circuits via geometric algebra

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