Electrical power components decomposition of periodic polyharmonic current

Abstract

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.

A positive, negative and zero sequences electric power, to improve upon the standard IEEE 1459-2010

“…We estimate the total power distortions from the interaction of currents and voltages of different harmonics and sequences. Excluding constant components and related “canonical” power components of a three-phase asymmetric system of nonsinusoidal periodic current, by analogy (Bialobrzheskyi et al , 2018) it is advisable to use the “interfere” power rms value: …”

“…Let us take into account the factor of the ratio of active power to its rms norm, which in known sources (Bialobrzheskyi et al , 2018) is called the “invariability” power factor: …”

“…where I 1 and U 1 are current and voltage rms values; c i1 and c u1 are phase shifts of current and voltage; and v is the angular frequency of current and voltage changes. Each phase power in this case can be represented as (Bialobrzheskyi et al, 2022).…”

“…The power of such a three-phase system has the general form in accordance with Bialobrzheskyi et al (2022):…”

“…Using the well-known approach to the allocation of fundamental and higher harmonics in terms of power consumption or generation, we extend it to the corresponding symmetric components. As a consequence, the active and reactive powers of each of the sequences (seq), taking into account the harmonics of current and voltage (k = n = h), is represented as (Bialobrzheskyi et al, 2022):…”