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2016
DOI: 10.11591/ijece.v6i6.pp3229-3237
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Evaluation of the Forward-Backward Sweep Load Flow Method using the Contraction Mapping Principle

Abstract: <p>This paper presents an assessment of the forward-backward sweep load flow method to distribution system analysis. The method is formally assessed using fixed-point concepts and the contraction mapping theorem. The existence and uniqueness of the load flow feasible solution is supported by an alternative argument from those obtained in the literature. Also, the closed-form of the convergence rate of the method is deduced and the convergence dependence of loading is assessed. Finally, boundaries for err… Show more

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Cited by 3 publications
(2 citation statements)
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“…Remark 2. In the case of the matricial backward/forward power flow method as demonstrated in [21,41] and [25], its convergence independent of the starting voltage point through the application of the Banach-fixed point theorem.…”
Section: Matricial Backward/forward Power Flow Methodsmentioning
confidence: 99%
“…Remark 2. In the case of the matricial backward/forward power flow method as demonstrated in [21,41] and [25], its convergence independent of the starting voltage point through the application of the Banach-fixed point theorem.…”
Section: Matricial Backward/forward Power Flow Methodsmentioning
confidence: 99%
“…The first step is to perform the power flow to find the base case values before PV integration in the distribution system. For this study, the system's power flow and base power loss are calculated using the Forward/Backward sweep-based numerical approach, which is proven more efficient and accurate than the other conventional methods [15,16]. The branch's active power loss, P loss (i,j) and the respective reactive loss, Q loss(i,j) between two buses, i,j are calculated using the following expression [17]:…”
Section: Power Flow Analysismentioning
confidence: 99%