Abstract
A renewed interest in phase frame analysis of distribution systems has surfaced in recent literature due to rapid expansion of grid-integrated distributed generation and non-linear loads, whose grid imbalance-increasing effects require more detailed analysis and modeling of distribution systems for their proper assessment. In this paper, under motivation of such recent usage of phase frame components, we propose analytical equations for N-phase neutral-equipped line admittance matrix under transposition assumption. By using the proposed equations, we evaluate precision losses caused by using the transposition assumption for modeling three-phase four-wire distribution lines. Moreover, differently from previous works, we validate the transposition assumption and the admittance matrix values obtained for various combinations of cable type and line geometry. A relevant reason for analyzing transposition assumption in more detail is the fact that it may be useful in distribution system computations, due to its advantageous decoupling of symmetrical components. In this sense, the present work provides additional discussion and illustrative evaluations of the line transposition assumption, which may be useful for analyzing its applicability under different circumstances.
Highlights
Increasing attention has been recently directed towards the analysis of three-phase power systems in terms of phase frame components [1]–[7]
We adopt two approximate assumptions regularly used in distribution system analysis: 1) Ignoring shunt admittances, which is justified by negligible capacitance to ground due to short line lengths; 2) Considering zero-resistance grounding of the neutral conductor at both buses connected by the distribution line, which does not cause significant error due to neutral grounding impedances being small in practice
Multiple case studies were considered, in which error due to assuming transposition was evaluated as a function of line geometry, cable type and ground resistivity
Summary
Increasing attention has been recently directed towards the analysis of three-phase power systems in terms of phase frame components [1]–[7]. We adopt two approximate assumptions regularly used in distribution system analysis: 1) Ignoring shunt admittances, which is justified by negligible capacitance to ground due to short line lengths; 2) Considering zero-resistance grounding of the neutral conductor at both buses connected by the distribution line, which does not cause significant error due to neutral grounding impedances being small in practice. Such assumptions allow representing the line via the equivalent circuit, in which the grounded nodes imply Vin = Vjn = 0 and Z = [zrs]4×4 is the line impedance matrix, with r, s ∈. The error indexes that shall be used for evaluating the approximation are defined
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