A Backward Method for Solving PV Nodes in Weakly Meshed Distribution Networks

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Abstract

In this paper, a new iterative backward/forward methodology for the load flow solution of weakly meshed systems with fixed voltage nodes is presented. Such technique models the loads at each iteration by means of impedances, and the PV nodes by means of reactances. Each iteration is organised in two steps. In the first, the radial network attained from the meshed system through cuts and composed of shunt and series impedances is solved. In the second step, based on a reduced Thévenin impedance matrix, the compensation currents to be injected in the cut nodes are deduced. Modelling the PV nodes by means of reactances allows the attainment, for the reactive power of these nodes, of the same precision that it is possible to get solving the network with the methods usually adopted for transmission networks. After the presentation of the different implementations of the backward/forward method proposed in the literature, the new technique and the relevant implementation are presented in detail. The methodology allows the solution of systems with meshes and PV nodes; test results show precision, speed and good convergence properties.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2007

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Electric power transmission networks
Reactive power
Electric power distribution
reactance
iteration
Electric potential
shunts
mesh
impedance
methodology
electric potential
matrices
Compensation and Redress

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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title = "A Backward Method for Solving PV Nodes in Weakly Meshed Distribution Networks",
abstract = "In this paper, a new iterative backward/forward methodology for the load flow solution of weakly meshed systems with fixed voltage nodes is presented. Such technique models the loads at each iteration by means of impedances, and the PV nodes by means of reactances. Each iteration is organised in two steps. In the first, the radial network attained from the meshed system through cuts and composed of shunt and series impedances is solved. In the second step, based on a reduced Th{\'e}venin impedance matrix, the compensation currents to be injected in the cut nodes are deduced. Modelling the PV nodes by means of reactances allows the attainment, for the reactive power of these nodes, of the same precision that it is possible to get solving the network with the methods usually adopted for transmission networks. After the presentation of the different implementations of the backward/forward method proposed in the literature, the new technique and the relevant implementation are presented in detail. The methodology allows the solution of systems with meshes and PV nodes; test results show precision, speed and good convergence properties.",
author = "Luigi Dusonchet and Ippolito, {Mariano Giuseppe} and Antonino Augugliaro and {Riva Sanseverino}, Eleonora and Salvatore Favuzza",
year = "2007",
language = "English",

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TY - CONF

T1 - A Backward Method for Solving PV Nodes in Weakly Meshed Distribution Networks

AU - Dusonchet, Luigi

AU - Ippolito, Mariano Giuseppe

AU - Augugliaro, Antonino

AU - Riva Sanseverino, Eleonora

AU - Favuzza, Salvatore

PY - 2007

Y1 - 2007

N2 - In this paper, a new iterative backward/forward methodology for the load flow solution of weakly meshed systems with fixed voltage nodes is presented. Such technique models the loads at each iteration by means of impedances, and the PV nodes by means of reactances. Each iteration is organised in two steps. In the first, the radial network attained from the meshed system through cuts and composed of shunt and series impedances is solved. In the second step, based on a reduced Thévenin impedance matrix, the compensation currents to be injected in the cut nodes are deduced. Modelling the PV nodes by means of reactances allows the attainment, for the reactive power of these nodes, of the same precision that it is possible to get solving the network with the methods usually adopted for transmission networks. After the presentation of the different implementations of the backward/forward method proposed in the literature, the new technique and the relevant implementation are presented in detail. The methodology allows the solution of systems with meshes and PV nodes; test results show precision, speed and good convergence properties.

AB - In this paper, a new iterative backward/forward methodology for the load flow solution of weakly meshed systems with fixed voltage nodes is presented. Such technique models the loads at each iteration by means of impedances, and the PV nodes by means of reactances. Each iteration is organised in two steps. In the first, the radial network attained from the meshed system through cuts and composed of shunt and series impedances is solved. In the second step, based on a reduced Thévenin impedance matrix, the compensation currents to be injected in the cut nodes are deduced. Modelling the PV nodes by means of reactances allows the attainment, for the reactive power of these nodes, of the same precision that it is possible to get solving the network with the methods usually adopted for transmission networks. After the presentation of the different implementations of the backward/forward method proposed in the literature, the new technique and the relevant implementation are presented in detail. The methodology allows the solution of systems with meshes and PV nodes; test results show precision, speed and good convergence properties.

UR - http://hdl.handle.net/10447/13665

M3 - Paper

ER -