# Linear optimal power flow system and method

## Abstract

An electric power system or power grid is optimized using a computer-implemented tool the represents in computer memory the optimization function and at least one constraint, which the processor operates upon using a linear programming solver algorithm. The constraints are represented in memory as data structures that include both real and reactive power terms, corresponding to at least one of a power flow model and a transmission line model. The transmission line model is represented using a piecewise linear representation. The power flow model may also include for each node in the power system a real power loss term representing transmission line loss allocated to that node.

- Inventors:

- Issue Date:

- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1568374

- Patent Number(s):
- 10,296,988

- Application Number:
- 14/458,597

- Assignee:
- Board of Trustees of Michigan State University (East Lansing, MI)

- DOE Contract Number:
- AR0000222

- Resource Type:
- Patent

- Resource Relation:
- Patent File Date: 08/13/2014

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; 24 POWER TRANSMISSION AND DISTRIBUTION

### Citation Formats

```
Mitra, Joydeep.
```*Linear optimal power flow system and method*. United States: N. p., 2019.
Web.

```
Mitra, Joydeep.
```*Linear optimal power flow system and method*. United States.

```
Mitra, Joydeep. Tue .
"Linear optimal power flow system and method". United States. https://www.osti.gov/servlets/purl/1568374.
```

```
@article{osti_1568374,
```

title = {Linear optimal power flow system and method},

author = {Mitra, Joydeep},

abstractNote = {An electric power system or power grid is optimized using a computer-implemented tool the represents in computer memory the optimization function and at least one constraint, which the processor operates upon using a linear programming solver algorithm. The constraints are represented in memory as data structures that include both real and reactive power terms, corresponding to at least one of a power flow model and a transmission line model. The transmission line model is represented using a piecewise linear representation. The power flow model may also include for each node in the power system a real power loss term representing transmission line loss allocated to that node.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2019},

month = {5}

}

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