# Systems and methods for optimal power flow on a radial network

## Abstract

Node controllers and power distribution networks in accordance with embodiments of the invention enable distributed power control. One embodiment includes a node controller including a distributed power control application; a plurality of node operating parameters describing the operating parameter of a node and a set of at least one node selected from the group consisting of an ancestor node and at least one child node; wherein send node operating parameters to nodes in the set of at least one node; receive operating parameters from the nodes in the set of at least one node; calculate a plurality of updated node operating parameters using an iterative process to determine the updated node operating parameters using the node operating parameters that describe the operating parameters of the node and the set of at least one node, where the iterative process involves evaluation of a closed form solution; and adjust node operating parameters.

- Inventors:

- Issue Date:

- Research Org.:
- California Inst. of Technology (CalTech), Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1436178

- Patent Number(s):
- 9,954,362

- Application Number:
- 14/722,075

- Assignee:
- California Institute of Technology (Pasadena, CA)

- DOE Contract Number:
- AR0000226

- Resource Type:
- Patent

- Resource Relation:
- Patent File Date: 2015 May 26

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 24 POWER TRANSMISSION AND DISTRIBUTION

### Citation Formats

```
Low, Steven H., and Peng, Qiuyu.
```*Systems and methods for optimal power flow on a radial network*. United States: N. p., 2018.
Web.

```
Low, Steven H., & Peng, Qiuyu.
```*Systems and methods for optimal power flow on a radial network*. United States.

```
Low, Steven H., and Peng, Qiuyu. Tue .
"Systems and methods for optimal power flow on a radial network". United States. https://www.osti.gov/servlets/purl/1436178.
```

```
@article{osti_1436178,
```

title = {Systems and methods for optimal power flow on a radial network},

author = {Low, Steven H. and Peng, Qiuyu},

abstractNote = {Node controllers and power distribution networks in accordance with embodiments of the invention enable distributed power control. One embodiment includes a node controller including a distributed power control application; a plurality of node operating parameters describing the operating parameter of a node and a set of at least one node selected from the group consisting of an ancestor node and at least one child node; wherein send node operating parameters to nodes in the set of at least one node; receive operating parameters from the nodes in the set of at least one node; calculate a plurality of updated node operating parameters using an iterative process to determine the updated node operating parameters using the node operating parameters that describe the operating parameters of the node and the set of at least one node, where the iterative process involves evaluation of a closed form solution; and adjust node operating parameters.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2018},

month = {4}

}

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