Abstract
In this work, the expression of the phasor of apparent power of harmonic distortion is formulated in the time domain. Applying this phasor along with the phasor of apparent unbalance power allows us to obtain a new set of phasors that include all of the inefficient power components appearing in the transfer of energy in non-linear and unbalanced systems. In this manner, a new model of inefficient power in electrical systems is developed. For each voltage harmonic of order ‘m’ and current harmonic of order ‘n’, a phasor of harmonic apparent power is obtained. Accuracy in the determination of the total apparent power of a system depends on the number of harmonics considered. Each phasor of apparent harmonic power is formed from six mutually orthogonal parameters or components that are calculated from the harmonic voltages at the nodes of the network and the circulating harmonic currents. To demonstrate the validity of the proposed formulation, a four-wire non-linear system formed by two nodes is assessed.
Highlights
In addition to useful power for the transfer of energy, the power generated by a three-phase electrical system includes non-useful components that must be taken into account in the analysis of energy transfer [1]
This paper extends the method used in the formulation of the unbalance power phasor [28] to non-linear systems for calculating the harmonic distortion power
The main advantage of the proposed method is that it allows analysis by phasor components. This allows us to obtain a new set of phasors that encompasses all balanced, unbalanced, sinusoidal or non-sinusoidal inefficient power components appearing in the transfer of energy in an electrical system in an approach that maintains all of the advantages of the phasor formulation
Summary
In addition to useful power for the transfer of energy (or active power), the power generated by a three-phase electrical system includes non-useful components that must be taken into account in the analysis of energy transfer [1]. The main advantage of the proposed method is that it allows analysis by phasor components This allows us to obtain a new set of phasors that encompasses all balanced, unbalanced, sinusoidal or non-sinusoidal inefficient power components appearing in the transfer of energy in an electrical system in an approach that maintains all of the advantages of the phasor formulation. The difference compared to the methods listed in the literature, mainly the IEEE Std. 1459–2010 [9], is that it only determines the harmonic powers in absolute values This value matches with the module of the phasor proposed in this work. To aid in the understanding of the proposed calculation method and its application, Section 6 examines a case involving a system with unbalanced voltages and non-linear loads
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