### 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 the sectionalized sections is connected to a different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of the divided sections is connected to the 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, a 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 such that the mathematical optimality is guaranteed, because it is well known that determination of a distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimization problem. In this paper, the authors propose a determination method of loss-minimum configuration by which the mathematical optimality is guaranteed for a three-sectionalized 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-sectionalization). 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 |
---|---|

Pages (from-to) | 56-65 |

Number of pages | 10 |

Journal | Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi) |

Volume | 167 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2009 Apr 15 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Energy Engineering and Power Technology

### Cite this

*Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)*,

*167*(1), 56-65. https://doi.org/10.1002/eej.20530

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

Research output: Contribution to journal › Article

*Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)*, vol. 167, no. 1, pp. 56-65. https://doi.org/10.1002/eej.20530

}

TY - JOUR

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

AU - Hayashi, Yasuhiro

AU - Matsuki, Junya

AU - Ishikawa, Shinji

AU - Takano, Hirotaka

AU - Muto, Eiji

AU - Kobayashi, Naoki

PY - 2009/4/15

Y1 - 2009/4/15

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 the sectionalized sections is connected to a different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of the divided sections is connected to the 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, a 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 such that the mathematical optimality is guaranteed, because it is well known that determination of a distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimization problem. In this paper, the authors propose a determination method of loss-minimum configuration by which the mathematical optimality is guaranteed for a three-sectionalized 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-sectionalization). 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 the sectionalized sections is connected to a different feeder. For example, one feeder is divided into three sections by two sectionalizing switches, and then each of the divided sections is connected to the 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, a 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 such that the mathematical optimality is guaranteed, because it is well known that determination of a distribution system's configuration is to decide whether each sectionalizing switch is opened or closed by solving a combinatorial optimization problem. In this paper, the authors propose a determination method of loss-minimum configuration by which the mathematical optimality is guaranteed for a three-sectionalized 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-sectionalization). 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 three-connected feeder network

UR - http://www.scopus.com/inward/record.url?scp=63849155456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=63849155456&partnerID=8YFLogxK

U2 - 10.1002/eej.20530

DO - 10.1002/eej.20530

M3 - Article

VL - 167

SP - 56

EP - 65

JO - Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)

JF - Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)

SN - 0424-7760

IS - 1

ER -