A Robust Multiphase Power Flow for General Distribution Networks

Dilek, Murat; León, Francisco de; Broadwater, Robert; Lee, Serena

doi:10.1109/tpwrs.2009.2036791

Cited by 55 publications

(35 citation statements)

References 11 publications

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“…A straight solution would be to first "radialize" the grid (e.g., as in [38]) and apply CoDistFlow as is. Another possible solution would be to combine the grid radialization iterations [38] with the CoDistFlow iterations. Yet, as we focus on distribution networks, the method can be applied to most of actual systems that are characterized by being radial.…”

Section: Discussion On the Extension To Multiphase Unbalanced Grimentioning

confidence: 99%

“…We have further imposed the constraints (37)-(38) (i.e., we require that the error quantity weighted by w 5 in the objective function (16) will be zero). Note that, if we include the part of the objective function (16) weighted by w 5 instead of the constraints (37)- (38), the new objective will not increase with the losses, thus the relaxation of [4] does not apply. Then, the constraints (37)-(38) may render the existing relaxation techniques inexact for the scenario-based optimization, as it is explained below.…”

Section: Non-applicability Of Existing Relaxation Techniquesmentioning

confidence: 99%

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Dispatching Stochastic Heterogeneous Resources Accounting for Grid and Battery Losses

Stai

Reyes-Chamorro

Sossan

et al. 2018

IEEE Trans. Smart Grid

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Abstract-We compute an optimal day-ahead dispatch plan for distribution networks with stochastic resources and batteries, while accounting for grid and battery losses. We formulate and solve a scenario-based AC Optimal Power Flow (OPF), which is by construction non-convex. We explain why the existing relaxation methods do not apply and we propose a novel iterative scheme, Corrected DistFlow (CoDistFlow), to solve the scenariobased AC OPF problem in radial networks. It uses a modified branch flow model for radial networks with angle relaxation that accounts for line shunt capacitances. At each step, it solves a convex problem based on a modified DistFlow OPF with correction terms for line losses and node voltages. Then, it updates the correction terms using the results of a full load flow. We prove that under a mild condition, a fixed point of CoDistFlow provides an exact solution to the full AC power flow equations. We propose treating battery losses similarly to grid losses by using a single-port electrical equivalent instead of battery efficiencies. We evaluate the performance of the proposed scheme in a simple and real electrical networks. We conclude that grid and battery losses affect the feasibility of the dayahead dispatch plan and show how CoDistFlow can handle them correctly.Index Terms-Dispatch plan; day-ahead; optimal power flow; grid losses; battery models; NOMENCLATURE PCCPoint of Common Coupling.Index of bus at the top and bottom of line l respectively.Parameters per line l r l Direct sequence longitudinal resistance.Direct sequence shunt susceptance.

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Section: Discussion On the Extension To Multiphase Unbalanced Grimentioning

confidence: 99%

Section: Non-applicability Of Existing Relaxation Techniquesmentioning

confidence: 99%

Dispatching Stochastic Heterogeneous Resources Accounting for Grid and Battery Losses

Stai

Reyes-Chamorro

Sossan

et al. 2018

IEEE Trans. Smart Grid

View full text Add to dashboard Cite

show abstract

“…1. The algorithm shows that TPDA uses a sequential or partitioned method for solving the DAEs [13], [14]; the differential equations are solved using the trapezoidal method as implemented in the ode23t function of MATLAB while the Distributed Engineering Workstation (DEW ® ) software [16] is used to solve the algebraic equations. The four reasons for selecting this approach are as follows: 1.…”

Section: Algorithm Used In Tpda To Solve the Daesmentioning

confidence: 99%

Three-Phase Dynamic Simulation of Power Systems Using Combined Transmission and Distribution System Models

Jain

Parchure

Broadwater

et al. 2016

IEEE Trans. Power Syst.

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Abstract--This paper presents a new method for studying electromechanical transients in power systems using three phase, combined transmission and distribution models (hybrid models). The methodology models individual phases of an electric network and associated unbalance in load and generation. Therefore, the impacts of load unbalance, single phase distributed generation and line impedance unbalance on electromechanical transients can be studied without using electromagnetic transient simulation (EMTP) programs. The implementation of this methodology in software is called the Three Phase Dynamics Analyzer (TPDA). Case studies included in the paper demonstrate the accuracy of TPDA and its ability to simulate electromechanical transients in hybrid models. TPDA has the potential for providing electric utilities and power system planners with more accurate assessment of system stability than traditional dynamic simulation software that assume balanced network topology.

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“…In this paper, for avoiding the complexity of the calculations, the impact of unbalanced phases/loads in distribution network load flow equations is neglected. However if an unbalanced multiphase load-flow algorithm is needed with the capability to model all components and network features, the proposed algorithm can be extended using the methods proposed in [33], [34]. The application of the proposed method can be defined as minimizing the evaluated indices.…”

Section: B Case Ii: a Real 201-node Distribution Networkmentioning

confidence: 99%

Possibilistic-Scenario Model for DG Impact Assessment on Distribution Networks in an Uncertain Environment

Soroudi

2012

IEEE Trans. Power Syst.

151

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A Robust Multiphase Power Flow for General Distribution Networks

Cited by 55 publications

References 11 publications

Dispatching Stochastic Heterogeneous Resources Accounting for Grid and Battery Losses

Dispatching Stochastic Heterogeneous Resources Accounting for Grid and Battery Losses

Three-Phase Dynamic Simulation of Power Systems Using Combined Transmission and Distribution System Models

Possibilistic-Scenario Model for DG Impact Assessment on Distribution Networks in an Uncertain Environment

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