# Design of Simple Power Supplied Using Fourier Series (UMAP)

### Author: John S. Robertson

This module discusses the components of a typical power supply that uses household electricity. A simple mathematical model is used to represent the time-varying voltage inside the power supply. The concepts of mean and root-mean-square voltages are introduced. Fourier series are used to examine the output of a full-wave rectifier. The Fourier coefficients represent voltage levels of constant or sinusoidal voltage signals that can be realized as output through the proper selection of filters. Applications of Fourier series to other types of power supplies are briefly discussed.** Table of Contents:INTRODUCTIONMODELING VOLTAGES** Direct Current (DC) and Alternating Current (AC)

Household AC

**HOW POWER SUPPLIES WORK**

Transformer

Rectifier

Filter

Other Components

**ANALYSIS OF RECTIFIER OUTPUT**

Thinking About Fourier Series

Calculation of the Fourier Coefficients

What's Really in the Rectifier Output

**DESIGNING THE POWER SUPPLY**

Identification of Needs

Selection of Filters

Other Possibilities

**CONCLUSION**

ANSWERS TO EXERCISES

REFERENCES

ABOUT THE AUTHOR

ANSWERS TO EXERCISES

REFERENCES

ABOUT THE AUTHOR

#### Mathematics Topics:

#### Application Areas:

#### Prerequisites:

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