The possibilities of Tellegen's theorem in the identification electrotechnical problems

Zagirnyak, Мykhaylo; Rodkin, Dmytro; Romashykhin, Iurii

doi:10.1109/mees.2017.8248875

Cited by 5 publications

(2 citation statements)

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“…Using voltage and current representation in the form of periodic polyharmonic functions, in Zagirnyak et al (2017), the general equations of energy balance between power supply and the consumer are obtained. Decomposition of the components of instantaneous power by harmonic frequencies allowed the authors to form a set of equations of energy balance – the basis for the identification system.…”

Section: Previous Research Analysismentioning

confidence: 99%

Electrical power components decomposition of periodic polyharmonic current

Bialobrzheskyi

Rodkin

Gladyr

2022

COMPEL

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Purpose At the current stage of electrical technology development, it is relevant to take into account the quality of electrical energy. It can be implemented if an assessed energy quality indicator is available. The amount of electrical energy is determined by active power, which is transmitted over a certain time period. In some cases, reactive power is included in the metering system. The distortion power is justifiably criticized and is not taken into account. The purpose of this paper consists in the substantiation of the indicator of the distortion of the periodic polyharmonic current electrical energy power, by separating from the instantaneous power such harmonics, which formed by same frequencies current and voltage harmonics. Design/methodology/approach Using the method of calculating linear polyharmonic current circuits, the following quantities are identified in instantaneous power: active, reactive and apparent powers of each harmonic. These components are known from references as canonical. Findings By the method of instantaneous power harmonic analysis, the components formed by current and voltage harmonics of the same frequency and different frequencies are distinguished. Research limitations/implications The RMS value of the instantaneous power due to current and voltage harmonics of different frequencies is justified in the work. This quantity allows you to distinguish the instantaneous power distortion level in comparison with the existing quantity. Practical implications The results can be used to assess the level of instantaneous power distortion level in commercial and technical metering systems. Originality/value The definition of instantaneous power distortion by extracting the canonical components from it and determining the root mean square value of the remainder is proposed.

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Section: Previous Research Analysismentioning

confidence: 99%

Electrical power components decomposition of periodic polyharmonic current

Bialobrzheskyi

Rodkin

Gladyr

2022

COMPEL

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“…In accordance with the accepted method [16], the deter mination of the Ushaped substitution scheme elements pa rameters is performed using power harmonics and their bal ance at the corresponding frequencies. In the trigonometric form, power harmonics are reflected in two forms of recording that are identical: using the amplitude and harmonic phase; using orthogonal harmonic components.…”

Section: Introductionmentioning

confidence: 99%

Cable line equivalent circuit parameters determination using the instantaneous power components

Bialobrzheskyi,

Todorov,

Postil

et al. 2024

Nauk. visn. nat. hirn. univ.

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Purpose. Development of a method for determining the cable line substitution scheme parameters based on the components of its instantaneous power. Methodology. Determination of unknown parameters of the cable line mode using the harmonic balance method. Determination of the U-shaped substitution scheme elements parameters is performed using power harmonics and their balance at the corresponding frequencies. For frequency-dependent elements, it is taken into account that the same power harmonic can be formed by different current and voltage harmonics. Findings. A method for determining the parameters of the cable line substitution scheme using the power components of its elements is proposed, which is distinguished by the fact that the total number of system equations for determining the parameters can be increased due to the use of power. The study of the proposed method for determining the cable line substitution scheme parameters based on the power components, based on the model compiled in the visual programming package, allowed us to establish that the largest parameter determination error is characteristic of active conduction. Originality. With the instantaneous power determination of the cable line substitution scheme reactive elements, it was found that during the calculation of the instantaneous power there is a peculiarity of taking into account the voltage harmonic number depending on the combination of harmonic numbers. Practical value. The proposed method can be developed on the sectioning of the U-shaped line substitution scheme to determine the change in the cable line substitution scheme parameters during its operation without disconnecting the line, unlike existing methods.

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