### Abstract

An algorithm for the optimal voltage regulation of distribution secondary networks with distributed generators (DGs) is proposed in the paper. Based on the \varepsilon decomposition of the sensitivity matrix (inverse of Jacobian) obtained from the solution of the Newton-Raphson power flow problem, a large secondary network is divided into several small subnetworks. From the \varepsilon decomposition, the range of influence of each DG on the voltage of the entire network is determined. When voltage at particular nodes exceeds normal operating limits, the nearest DGs can be located and commanded to control the voltage. The control action can be coordinated using communications in a small-size subnetwork. The voltage regulation is achieved by solving a small linear programming optimization problem with an objective function that makes every DG to optimize its generation. The algorithm is tested with a model of a real heavily-meshed secondary network. The results show that the algorithm proposed in this paper can effectively control the voltage in a distributed manner. It is also discussed in the paper how to choose the value of ε for the system decomposition.

Original language | English (US) |
---|---|

Article number | 6204238 |

Pages (from-to) | 959-967 |

Number of pages | 9 |

Journal | IEEE Transactions on Smart Grid |

Volume | 3 |

Issue number | 2 |

DOIs | |

State | Published - 2012 |

### Fingerprint

### Keywords

- ε decomposition
- Distributed generation
- optimal distributed voltage regulation
- secondary network
- sensitivity matrix

### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*IEEE Transactions on Smart Grid*,

*3*(2), 959-967. [6204238]. https://doi.org/10.1109/TSG.2012.2190308

**Optimal distributed voltage regulation for secondary networks with DGs.** / Yu, Li; Czarkowski, Dariusz; De Leon, Francisco.

Research output: Contribution to journal › Article

*IEEE Transactions on Smart Grid*, vol. 3, no. 2, 6204238, pp. 959-967. https://doi.org/10.1109/TSG.2012.2190308

}

TY - JOUR

T1 - Optimal distributed voltage regulation for secondary networks with DGs

AU - Yu, Li

AU - Czarkowski, Dariusz

AU - De Leon, Francisco

PY - 2012

Y1 - 2012

N2 - An algorithm for the optimal voltage regulation of distribution secondary networks with distributed generators (DGs) is proposed in the paper. Based on the \varepsilon decomposition of the sensitivity matrix (inverse of Jacobian) obtained from the solution of the Newton-Raphson power flow problem, a large secondary network is divided into several small subnetworks. From the \varepsilon decomposition, the range of influence of each DG on the voltage of the entire network is determined. When voltage at particular nodes exceeds normal operating limits, the nearest DGs can be located and commanded to control the voltage. The control action can be coordinated using communications in a small-size subnetwork. The voltage regulation is achieved by solving a small linear programming optimization problem with an objective function that makes every DG to optimize its generation. The algorithm is tested with a model of a real heavily-meshed secondary network. The results show that the algorithm proposed in this paper can effectively control the voltage in a distributed manner. It is also discussed in the paper how to choose the value of ε for the system decomposition.

AB - An algorithm for the optimal voltage regulation of distribution secondary networks with distributed generators (DGs) is proposed in the paper. Based on the \varepsilon decomposition of the sensitivity matrix (inverse of Jacobian) obtained from the solution of the Newton-Raphson power flow problem, a large secondary network is divided into several small subnetworks. From the \varepsilon decomposition, the range of influence of each DG on the voltage of the entire network is determined. When voltage at particular nodes exceeds normal operating limits, the nearest DGs can be located and commanded to control the voltage. The control action can be coordinated using communications in a small-size subnetwork. The voltage regulation is achieved by solving a small linear programming optimization problem with an objective function that makes every DG to optimize its generation. The algorithm is tested with a model of a real heavily-meshed secondary network. The results show that the algorithm proposed in this paper can effectively control the voltage in a distributed manner. It is also discussed in the paper how to choose the value of ε for the system decomposition.

KW - ε decomposition

KW - Distributed generation

KW - optimal distributed voltage regulation

KW - secondary network

KW - sensitivity matrix

UR - http://www.scopus.com/inward/record.url?scp=84861885935&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861885935&partnerID=8YFLogxK

U2 - 10.1109/TSG.2012.2190308

DO - 10.1109/TSG.2012.2190308

M3 - Article

VL - 3

SP - 959

EP - 967

JO - IEEE Transactions on Smart Grid

JF - IEEE Transactions on Smart Grid

SN - 1949-3053

IS - 2

M1 - 6204238

ER -