2016
DOI: 10.1016/j.epsr.2015.10.027
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A correction current injection method for power flow analysis of unbalanced multiple-grounded 4-wire distribution networks

Abstract: Power flow analysis of distribution networks incorporating LV consumer representation needs to be cognizant of an unbalanced load structure and the grounding network between the consumer and network operator (TNC-S earthing). In this paper, the asymmetrical 3-phase (and neutral) power flow problem is solved by a correction current injection methodology applied to a system represented by a complex admittance matrix. The correction current injection technique is adopted to adjust the power exchange of shunt elem… Show more

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Cited by 42 publications
(38 citation statements)
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“…This choice is optimal in many cases, since well designed grids are normally operating not far from this point. A similar strategy is also adopted by other authors like [13,14] and is implemented the open source code OpenDSS [41,42], in which the linear part of the loads is taken into account by an additional diagonal term in the nodal admittance matrix by virtue of the Norton theorem, while only the extra injection current due to the non linear part of the loads is added to the right hand side of the power flow equations. Indeed, the basic solution algorithm of OpenDSS can be seen as a particularization of the method of Alternating Search Directions when ˛ = diag(S * ø |V b | 2 ) and ˇ → ∞.…”
Section: Proposed Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…This choice is optimal in many cases, since well designed grids are normally operating not far from this point. A similar strategy is also adopted by other authors like [13,14] and is implemented the open source code OpenDSS [41,42], in which the linear part of the loads is taken into account by an additional diagonal term in the nodal admittance matrix by virtue of the Norton theorem, while only the extra injection current due to the non linear part of the loads is added to the right hand side of the power flow equations. Indeed, the basic solution algorithm of OpenDSS can be seen as a particularization of the method of Alternating Search Directions when ˛ = diag(S * ø |V b | 2 ) and ˇ → ∞.…”
Section: Proposed Methodsmentioning
confidence: 99%
“…Historically, power flow studies started with Gauss-Seidel (GS) type methods [2,3], Newton-Raphson's methods (NR) [4,5], or fixed point algorithms based on the admittance or impedance matrix, like the Implicit Z bus method (IZB) [6][7][8][9][10][11][12][13][14]. Despite their flexibility and low memory usage, GS methods have low convergence rates compared to NR methods, who enjoy optimal quadratic convergence but come with an increased computational cost due to the need of assembling and solving the Jacobian system at each iteration.…”
Section: Related Workmentioning
confidence: 99%
“…The consumer distribution conductors are 25mm 2 concentric neutral cable. The network configuration model is consistent with that presented in [22]. The OpenDSS network model incorporates the harmonic profile for the individual loads as defined using the recorded data and simulation.…”
Section: Load and Network Modellingmentioning
confidence: 94%
“…In low frequencies, the self and mutual impedances with earth return of the conductors are obtained according to Carson-Clem's formulae [34,35]:…”
Section: Magnetic Flux Density Calculationmentioning
confidence: 99%