# Development of Bus and Line Control Method for Short-Circuit Current Reduction Using Genetic Programming

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Overview of GP

#### 2.1. Chromosome Generation

#### 2.1.1. Busbar Separation Method

#### 2.1.2. Line Separation Method

#### 2.1.3. Chromosome Population Generation

#### 2.2. Fitness Function

_{n}) exceeding the breaker capacity for this method must be as small as possible. Additionally, after the busbar separation and line separation of this chromosome are performed, the number of overloaded lines and transformers (U

_{n}) must be as small as possible. The bus and line separation methods themselves are factors that degrade the stability of the power system; thus, a smaller number of genes constituting the chromosome is better. Accordingly, a smaller number of busbar separation methods (R) and line separation methods (S) is better. These four variables are included in the fitness function, and weights are added to ensure optimal convergence:

_{n}represents the number of buses with short-circuit current exceeding breaker capacity, U

_{n}represents the number of overloaded lines and transformers, R represents the number of busbar separation methods, and S represents the number of line separation methods.

_{n}, U

_{n}, R, and S affect the convergence to the optimal result, appropriate values should be selected; this is discussed below.

## 3. Applied System and Simulation

#### 3.1. Applied System and Simulation Conditions

_{n}, which corresponds to the number of busbars exceeding the breaker capacity of the short-circuit current, if there is even one excess part of the breaker, the reliability notice is violated; thus, T

_{n}must be zero. Additionally, if the number of overload lines and transformers (U

_{n}) exceeds one, the reliability notice is violated; thus, U

_{n}must be zero. For R and S, i.e., the numbers of bus and line separations, respectively, a range beginning from one would require too many simulations. A suitable range is therefore determined by referring to the numbers of bus and line separations from the actual operational data. According to the actual results, for 154 kV buses, the number of busbar separations ranges from 37 to 44, and the number of line separations ranges from 64 to 80. In the analysis, using a busbar separation range of ±20, the number of busbar separations R was set as 30–70, and the number of line separations S was set as 40–80. Simulations were then conducted under these conditions. The variable ranges were defined as follows:

_{n}and U

_{n}of zero and the minimum values for R and S, and optimization was performed.

#### 3.2. Simulation Results

_{n}+ U

_{n}could be reduced to zero with the selected gene method, when the whole gene method or GA method was used, T

_{n}+ U

_{n}could not be reduced to zero, even after 500 generations. Although the whole gene method could reduce T

_{n}+ U

_{n}to zero by performing more iterations, the nature of GP makes this undesirable, as the process takes a long time.

## 4. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Conflicts of Interest

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Year | Selected Gene Method | Whole Gene Method | ||
---|---|---|---|---|

No. of Busbar Separation Methods | No. of Line Separation Methods | No. of Busbar Separation Methods | No. of Line Separation Methods | |

2018 | 425 | 622 | 1210 | 2780 |

2019 | 425 | 623 | 1210 | 2782 |

2020 | 426 | 624 | 1213 | 2784 |

2021 | 426 | 625 | 1216 | 2788 |

2022 | 427 | 628 | 1217 | 2792 |

2023 | 428 | 629 | 1220 | 2801 |

2024 | 428 | 629 | 1222 | 2805 |

2025 | 429 | 630 | 1225 | 2813 |

Year | Number of Busbar Separation Methods | Number of Line Separation Methods |
---|---|---|

2018 | 60 | 56 |

2019 | 58 | 59 |

2020 | 60 | 56 |

2021 | 64 | 64 |

2022 | 64 | 64 |

2023 | 69 | 63 |

2024 | 68 | 63 |

2025 | 66 | 64 |

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Son, D.; Han, S. Development of Bus and Line Control Method for Short-Circuit Current Reduction Using Genetic Programming. *Energies* **2022**, *15*, 678.
https://doi.org/10.3390/en15030678

**AMA Style**

Son D, Han S. Development of Bus and Line Control Method for Short-Circuit Current Reduction Using Genetic Programming. *Energies*. 2022; 15(3):678.
https://doi.org/10.3390/en15030678

**Chicago/Turabian Style**

Son, Dabin, and Sangwook Han. 2022. "Development of Bus and Line Control Method for Short-Circuit Current Reduction Using Genetic Programming" *Energies* 15, no. 3: 678.
https://doi.org/10.3390/en15030678