A backward sweep method for power flow solution in distribution networks

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

A methodology for the analysis of radial or weakly meshed distribution systems supplying voltage dependent loads is here developed. The solution process is iterative and, at each step, loads are simulated by means of impedances. Therefore, at each iteration, it is necessary to solve a network made up only of impedances; for this kind of network, all the voltages and currents can be expressed as linear functions of a single unknown current (in radial systems) or of two unknown currents for each independent mesh(for meshed systems). The methodology has been called ‘‘backward” since the unique equation, in case of radial network, and the linear system of equations, in case of meshed network, in which such unknown currents appear can be determined by starting from the ending nodes of the radial system, or of the radialized network (obtained by means of cuts in meshed networks). After a brief presentation of the b/f method, which is currently the most commonly used technique for solving distribution networks, the solution methodology is detailed both for radial and for meshed systems. Then, the way in which PVnodes can be considered is also described.Finally, the results obtained in the solution of some networks already studied in the literature are presented with other methods, in order to compare their performances.The applications show the efficiency of the proposed methodology in solving distribution networks with many meshes and PV nodes.
Original languageEnglish
Pages (from-to)271-280
Number of pages10
JournalINTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
Volume32
Publication statusPublished - 2010

Fingerprint

Electric power distribution
Electric potential
Linear systems

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

Cite this

@article{5da6772b0a3f4aa99c3c343b5de69a77,
title = "A backward sweep method for power flow solution in distribution networks",
abstract = "A methodology for the analysis of radial or weakly meshed distribution systems supplying voltage dependent loads is here developed. The solution process is iterative and, at each step, loads are simulated by means of impedances. Therefore, at each iteration, it is necessary to solve a network made up only of impedances; for this kind of network, all the voltages and currents can be expressed as linear functions of a single unknown current (in radial systems) or of two unknown currents for each independent mesh(for meshed systems). The methodology has been called ‘‘backward” since the unique equation, in case of radial network, and the linear system of equations, in case of meshed network, in which such unknown currents appear can be determined by starting from the ending nodes of the radial system, or of the radialized network (obtained by means of cuts in meshed networks). After a brief presentation of the b/f method, which is currently the most commonly used technique for solving distribution networks, the solution methodology is detailed both for radial and for meshed systems. Then, the way in which PVnodes can be considered is also described.Finally, the results obtained in the solution of some networks already studied in the literature are presented with other methods, in order to compare their performances.The applications show the efficiency of the proposed methodology in solving distribution networks with many meshes and PV nodes.",
keywords = "PV nodes, backward/forward method, power flow, radial and meshed distribution networks",
author = "Salvatore Favuzza and Ippolito, {Mariano Giuseppe} and Luigi Dusonchet and {Riva Sanseverino}, Eleonora and Antonino Augugliaro",
year = "2010",
language = "English",
volume = "32",
pages = "271--280",
journal = "INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS",
issn = "0142-0615",

}

TY - JOUR

T1 - A backward sweep method for power flow solution in distribution networks

AU - Favuzza, Salvatore

AU - Ippolito, Mariano Giuseppe

AU - Dusonchet, Luigi

AU - Riva Sanseverino, Eleonora

AU - Augugliaro, Antonino

PY - 2010

Y1 - 2010

N2 - A methodology for the analysis of radial or weakly meshed distribution systems supplying voltage dependent loads is here developed. The solution process is iterative and, at each step, loads are simulated by means of impedances. Therefore, at each iteration, it is necessary to solve a network made up only of impedances; for this kind of network, all the voltages and currents can be expressed as linear functions of a single unknown current (in radial systems) or of two unknown currents for each independent mesh(for meshed systems). The methodology has been called ‘‘backward” since the unique equation, in case of radial network, and the linear system of equations, in case of meshed network, in which such unknown currents appear can be determined by starting from the ending nodes of the radial system, or of the radialized network (obtained by means of cuts in meshed networks). After a brief presentation of the b/f method, which is currently the most commonly used technique for solving distribution networks, the solution methodology is detailed both for radial and for meshed systems. Then, the way in which PVnodes can be considered is also described.Finally, the results obtained in the solution of some networks already studied in the literature are presented with other methods, in order to compare their performances.The applications show the efficiency of the proposed methodology in solving distribution networks with many meshes and PV nodes.

AB - A methodology for the analysis of radial or weakly meshed distribution systems supplying voltage dependent loads is here developed. The solution process is iterative and, at each step, loads are simulated by means of impedances. Therefore, at each iteration, it is necessary to solve a network made up only of impedances; for this kind of network, all the voltages and currents can be expressed as linear functions of a single unknown current (in radial systems) or of two unknown currents for each independent mesh(for meshed systems). The methodology has been called ‘‘backward” since the unique equation, in case of radial network, and the linear system of equations, in case of meshed network, in which such unknown currents appear can be determined by starting from the ending nodes of the radial system, or of the radialized network (obtained by means of cuts in meshed networks). After a brief presentation of the b/f method, which is currently the most commonly used technique for solving distribution networks, the solution methodology is detailed both for radial and for meshed systems. Then, the way in which PVnodes can be considered is also described.Finally, the results obtained in the solution of some networks already studied in the literature are presented with other methods, in order to compare their performances.The applications show the efficiency of the proposed methodology in solving distribution networks with many meshes and PV nodes.

KW - PV nodes

KW - backward/forward method

KW - power flow

KW - radial and meshed distribution networks

UR - http://hdl.handle.net/10447/45871

M3 - Article

VL - 32

SP - 271

EP - 280

JO - INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS

JF - INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS

SN - 0142-0615

ER -