### Abstract

In a distribution system, in order to enhance the reliability of power supply, the distribution feeder is divided into several sections by installing sectionalizing switches, and then each of sectionalizcd sections is connected to different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of divided sections is connected to other feeder through sectionalizing switch. Since a distribution system with many feeders has many sectionalizing switches, the system configuration is determined by states (opened or closed) of sectionalizing switches. Usually, power utility tries to obtain distribution loss-minimum configuration among large numbers of configuration candidates. However, it is very difficult to determine the loss-minimum configuration that the mathematical optimality is guaranteed, because it is well known that determination of distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimizalion problem. In this paper, the authors propose a determination method of loss minimum configuration which the mathematical optimality is guaranteed for a three sectionalized and three connected distribution feeder network. A problem to determine the loss minimum configuration is formulated as a combinatorial optimization problems with four operational constraints (1) feeder capacity, (2) voltage limit, (3) radial structure and (4) three scctionalization). In the proposed method, after picking up all partial configurations satisfied with radial structure constraint by using enumeration method, optimal combination of partial configurations is determined under the other operational constraints by using conventional optimization method. Numerical simulations are carried out for a distribution network model with 140 sectionalizing switches in order to examine the validity of the proposed algorithm in comparison with one of conventional meta-heuristics (Tabu search).

Original language | English |
---|---|

Journal | IEEJ Transactions on Power and Energy |

Volume | 126 |

Issue number | 5 |

Publication status | Published - 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Combinatorial optimization problem
- Distribution system
- Enumeration method
- Loss minimum configuration
- Sectionalizing switch
- Three sectionalized and three connected feeder network

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Energy Engineering and Power Technology

### Cite this

*IEEJ Transactions on Power and Energy*,

*126*(5).

**Determination method of loss-minimum configuration with mathematical optimally in a three sectionalized and three connected distribution feeder network.** / Hayashi, Yasuhiro; Matsuki, Junya; Ishikawa, Shinji; Takano, Hirotaka; Muto, Eiji; Kobayashi, Naoki.

Research output: Contribution to journal › Article

*IEEJ Transactions on Power and Energy*, vol. 126, no. 5.

}

TY - JOUR

T1 - Determination method of loss-minimum configuration with mathematical optimally in a three sectionalized and three connected distribution feeder network

AU - Hayashi, Yasuhiro

AU - Matsuki, Junya

AU - Ishikawa, Shinji

AU - Takano, Hirotaka

AU - Muto, Eiji

AU - Kobayashi, Naoki

PY - 2006

Y1 - 2006

N2 - In a distribution system, in order to enhance the reliability of power supply, the distribution feeder is divided into several sections by installing sectionalizing switches, and then each of sectionalizcd sections is connected to different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of divided sections is connected to other feeder through sectionalizing switch. Since a distribution system with many feeders has many sectionalizing switches, the system configuration is determined by states (opened or closed) of sectionalizing switches. Usually, power utility tries to obtain distribution loss-minimum configuration among large numbers of configuration candidates. However, it is very difficult to determine the loss-minimum configuration that the mathematical optimality is guaranteed, because it is well known that determination of distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimizalion problem. In this paper, the authors propose a determination method of loss minimum configuration which the mathematical optimality is guaranteed for a three sectionalized and three connected distribution feeder network. A problem to determine the loss minimum configuration is formulated as a combinatorial optimization problems with four operational constraints (1) feeder capacity, (2) voltage limit, (3) radial structure and (4) three scctionalization). In the proposed method, after picking up all partial configurations satisfied with radial structure constraint by using enumeration method, optimal combination of partial configurations is determined under the other operational constraints by using conventional optimization method. Numerical simulations are carried out for a distribution network model with 140 sectionalizing switches in order to examine the validity of the proposed algorithm in comparison with one of conventional meta-heuristics (Tabu search).

AB - In a distribution system, in order to enhance the reliability of power supply, the distribution feeder is divided into several sections by installing sectionalizing switches, and then each of sectionalizcd sections is connected to different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of divided sections is connected to other feeder through sectionalizing switch. Since a distribution system with many feeders has many sectionalizing switches, the system configuration is determined by states (opened or closed) of sectionalizing switches. Usually, power utility tries to obtain distribution loss-minimum configuration among large numbers of configuration candidates. However, it is very difficult to determine the loss-minimum configuration that the mathematical optimality is guaranteed, because it is well known that determination of distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimizalion problem. In this paper, the authors propose a determination method of loss minimum configuration which the mathematical optimality is guaranteed for a three sectionalized and three connected distribution feeder network. A problem to determine the loss minimum configuration is formulated as a combinatorial optimization problems with four operational constraints (1) feeder capacity, (2) voltage limit, (3) radial structure and (4) three scctionalization). In the proposed method, after picking up all partial configurations satisfied with radial structure constraint by using enumeration method, optimal combination of partial configurations is determined under the other operational constraints by using conventional optimization method. Numerical simulations are carried out for a distribution network model with 140 sectionalizing switches in order to examine the validity of the proposed algorithm in comparison with one of conventional meta-heuristics (Tabu search).

KW - Combinatorial optimization problem

KW - Distribution system

KW - Enumeration method

KW - Loss minimum configuration

KW - Sectionalizing switch

KW - Three sectionalized and three connected feeder network

UR - http://www.scopus.com/inward/record.url?scp=33646382854&partnerID=8YFLogxK

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M3 - Article

VL - 126

JO - IEEJ Transactions on Power and Energy

JF - IEEJ Transactions on Power and Energy

SN - 0385-4213

IS - 5

ER -