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Open AccessJournal ArticleDOI

The equivalence between successive approximations and matricial load flow formulations

TLDR
In this article, the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach was demonstrated.
Abstract
This paper shows the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach. Both formulations allow solving the load flow problem in meshed and radial distribution grids even if these are operated with alternating current (AC) or direct current (DC) technologies. Both load flow methods are completely described in this research to make a fair comparison between them and demonstrate their equivalence. Numerical comparisons in the 33- and 69-bus test feeder with radial topology show that both methods have the same number of iterations to find the solution with a convergence error defined as 1×10−10.

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Citations
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Journal ArticleDOI

Optimal Design of PV Systems in Electrical Distribution Networks by Minimizing the Annual Equivalent Operative Costs through the Discrete-Continuous Vortex Search Algorithm

TL;DR: In this paper , the authors presented a mixed-integer nonlinear programming model for the minimization of the total annual operative cost for a planning period of 20 years composed by the annualized costs of the energy purchasing at the substation bus summed with the annualised investment costs in photovoltaic (PV) sources, including their maintenance costs in distribution networks based on their optimal siting and sizing.
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Operating Cost Reduction in Distribution Networks Based on the Optimal Phase-Swapping including the Costs of the Working Groups and Energy Losses

TL;DR: The problem of optimal phase-balancing in three-phase asymmetric distribution networks is addressed in this research from the point of view of combinatorial optimization using a master–slave optimization approach using the improved sine cosine algorithm (ISCA).
Journal ArticleDOI

An Improved Crow Search Algorithm Applied to the Phase Swapping Problem in Asymmetric Distribution Systems

TL;DR: Numerical results on the 8-, 25-, and 37-node test systems show the efficiency of the proposed approach when compared to the classical version of the crow search algorithm, the Chu and Beasley genetic algorithm, and the vortex search algorithm.
Journal ArticleDOI

A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

TL;DR: In this article, a comparative analysis of six different iterative power flow methods applied to AC distribution networks is presented, and the numerical comparison involves three main aspects: the convergence rate, processing time and the number of iterations calculated using the classical Newton-Raphson method as the reference case.
Journal ArticleDOI

A successive approximations method for power flow analysis in bipolar DC networks with asymmetric constant power terminals

TL;DR: In this article , the power flow problem in bipolar direct current distribution networks with unbalanced constant power loads is solved using the successive approximation power flow method, which is equivalent to the backward/forward power flow in matrix form.
References
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Journal ArticleDOI

Zero Duality Gap in Optimal Power Flow Problem

TL;DR: In this article, a necessary and sufficient condition is provided to guarantee the existence of no duality gap for the optimal power flow problem, which is the dual of an equivalent form of the OPF problem.
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A Linear Three-Phase Load Flow for Power Distribution Systems

TL;DR: This letter proposes a linear load flow for three-phase power distribution systems that is very accurate compared to the conventional back-forward sweep algorithm.
Journal ArticleDOI

A MINLP technique for optimal placement of multiple DG units in distribution systems

TL;DR: In this article, the authors proposed a methodology to solve Mixed Integer Non-Linear Programming (MINLP) formulation for loss minimization, which simplifies the problem by dividing it in two phases, namely Siting Planning Model (SPM) and Capacity Planning Model(CPM) thereby reducing the search space and computational time.
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Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem

TL;DR: In this article, moment relaxations are developed from the Lasserre hierarchy for solving generalized moment problems, and they are capable of globally solving many small OPF problems for which existing relaxations fail.
Journal ArticleDOI

A review of optimal power flow studies applied to smart grids and microgrids

TL;DR: In this article, the main OPF approaches are compared in terms of their objective functions, constraints, and methodologies, and some basic challenges arising from the new OPF methodologies in smart grids are addressed.
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