# Optimization of induction motor efficiency. Volume 1. Three-phase induction motors

## Abstract

This report describes an optimization technique where variables, variable constants and constants are used, instead of variables and constants as is done in an ordinary optimization problem. This novel classification of the parameters leads to a better accuracy of the optimal results as compared with a classification in variables and constants only. At the outset of the study, the motor performance equations describing the power factor, the locked-rotor current ratio, the starting to rated torque ratio, the maximum to rated torque ratio, the efficiency, the slip and the temperature rise are derived from geometric quantities and the properties of the active materials. Subsequently the motor cost equations (e.g. production cost, capitalized cost and annual cost) are discussed. The sequential decomposition of the optimization method is based on closed-form equations of the above-mentioned motor performance and cost equations, which may represent the constraints as well as the objective function. The incorporation of the design program, updating the variable constants in the optimization procedure, is described next. As an example, a 100 hp induction motor is used to study the effect of different electrical steels, power factor, locked-rotor current and the production cost on the maximum efficiency, which serves as the objectivemore »

- Authors:

- Publication Date:

- Research Org.:
- Colorado Univ., Boulder (USA). Dept. of Electrical and Computer Engineering

- OSTI Identifier:
- 5381745

- Report Number(s):
- EPRI-EL-4152-CCM-Vol.1

ON: TI85920779

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; ELECTRIC MOTORS; DESIGN; ENERGY EFFICIENCY; INDUCTION; COMPUTER CODES; COST; ENERGY CONSERVATION; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; OPTIMIZATION; EFFICIENCY; MOTORS; 320303* - Energy Conservation, Consumption, & Utilization- Industrial & Agricultural Processes- Equipment & Processes

### Citation Formats

```
Fuchs, E F, Appelbaum, J, Khan, I A, Holl, J, and Frank, U V.
```*Optimization of induction motor efficiency. Volume 1. Three-phase induction motors*. United States: N. p., 1985.
Web.

```
Fuchs, E F, Appelbaum, J, Khan, I A, Holl, J, & Frank, U V.
```*Optimization of induction motor efficiency. Volume 1. Three-phase induction motors*. United States.

```
Fuchs, E F, Appelbaum, J, Khan, I A, Holl, J, and Frank, U V. Mon .
"Optimization of induction motor efficiency. Volume 1. Three-phase induction motors". United States.
```

```
@article{osti_5381745,
```

title = {Optimization of induction motor efficiency. Volume 1. Three-phase induction motors},

author = {Fuchs, E F and Appelbaum, J and Khan, I A and Holl, J and Frank, U V},

abstractNote = {This report describes an optimization technique where variables, variable constants and constants are used, instead of variables and constants as is done in an ordinary optimization problem. This novel classification of the parameters leads to a better accuracy of the optimal results as compared with a classification in variables and constants only. At the outset of the study, the motor performance equations describing the power factor, the locked-rotor current ratio, the starting to rated torque ratio, the maximum to rated torque ratio, the efficiency, the slip and the temperature rise are derived from geometric quantities and the properties of the active materials. Subsequently the motor cost equations (e.g. production cost, capitalized cost and annual cost) are discussed. The sequential decomposition of the optimization method is based on closed-form equations of the above-mentioned motor performance and cost equations, which may represent the constraints as well as the objective function. The incorporation of the design program, updating the variable constants in the optimization procedure, is described next. As an example, a 100 hp induction motor is used to study the effect of different electrical steels, power factor, locked-rotor current and the production cost on the maximum efficiency, which serves as the objective function. The report also compares the increased efficiencies of motors obtained by the addition of materials with those of the optimally designed motors.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1985},

month = {7}

}