2005
DOI: 10.1109/tpwrs.2005.856986
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Analysis of Radial Distribution Systems With Embedded Series FACTS Devices Using a Fast Line Flow-Based Algorithm

Abstract: Analysis of radial distribution systems with embedded series Flexible AC Transmission System (FACTS) devices is facilitated by a formulation of power flow equations with bus voltage magnitudes and line flows as independent variables. Since control variables such as the line and bus reactive powers figure directly in the formulation, handling the control action of FACTS devices in distribution systems is direct and easily implemented.Using the Breadth-First-Search (BFS), the bus incidence matrix of a radial dis… Show more

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Cited by 25 publications
(9 citation statements)
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“…Power flow constraints : The AC power flow equations are non‐linear and non‐convex constraints. In order to have a convex optimisation model, line flow based (LFB) [25] AC power flow equations are considered as follows. trueleftiΩn,0.33em0.16emtΩt,0.33em0.16eml0.16emΩl:leftlΩlAliPl,tnet=Pi,tG+Pi,tw+Pi,tpvPi,tDPi,tch+Pi,tdch trueleftlΩlBliRlJl,tleftlΩlAliQl,tnet=Qi,tG+Qi,twQi,tDlΩlBliXlJl,t trueleft()1zlrnormalMUj,t2lΩlBljRlPl,tnet+Xl…”
Section: Description Of the Proposed Oepmmentioning
confidence: 99%
“…Power flow constraints : The AC power flow equations are non‐linear and non‐convex constraints. In order to have a convex optimisation model, line flow based (LFB) [25] AC power flow equations are considered as follows. trueleftiΩn,0.33em0.16emtΩt,0.33em0.16eml0.16emΩl:leftlΩlAliPl,tnet=Pi,tG+Pi,tw+Pi,tpvPi,tDPi,tch+Pi,tdch trueleftlΩlBliRlJl,tleftlΩlAliQl,tnet=Qi,tG+Qi,twQi,tDlΩlBliXlJl,t trueleft()1zlrnormalMUj,t2lΩlBljRlPl,tnet+Xl…”
Section: Description Of the Proposed Oepmmentioning
confidence: 99%
“…The algorithm implemented for accommodating all the above proposed models is based on the well known current injection algorithm [11]. This kind of algorithm, as well as the Backward/Forward Swept algorithms use a formulation based in the Current Kircchoff Law (KCL) and Voltage Kircchoff Law (KVL) [10], [31]- [33] instead of the traditional power injection formulation used for instance by the conventional Newton-Raphson methods [8], [34]. The latter are usually faster for solving unconstrained power flow problems with smooth characterstics devices, but the former are faster and more stable for solving constrained power flow problems containing devices with non-smooth characteristics as it will be demonstrated later in this paper.…”
Section: Current Injection Power Flow Algorithmmentioning
confidence: 99%
“…In the following, a short introduction of this method is described to make the problem clear. Note that the accuracy of the LFB power flow model has been investigated and approved in different applications [20][21][22]. Matrix representations of active and reactive power balance equations at all buses, save the slack bus, are expressed as (1) and (2), respectively.…”
Section: Nomenclaturementioning
confidence: 99%