Applied circuit technique

General course objectives

Using Laplace theory for circuit analysis of time- and s-domain circuits and analysis of filters, transfer functions etc. Theoretical analysis of a single phase rectifier consisting of a transformer, 4-diode bridge and a smoothing capacitor, as well as experimental examination and simulation of the rectifier.

Learning objectives

A student who has met the objectives of the course will be able to:

• Understand and use Laplace theory to analyse a circuit in the time- and s-domain to examine the response of a circuit to a step function etc.

• Determine the transfer function of a circuit

• Understand the frequency response of simple low-pass, high-pass, band-pass and band-reject filter circuit from first principles

• Sketch a Bode plot for a more complex transfer function with regard to the magnitude and phase response, as a function of frequency

• Determine transfer function and frequency response for an operational amplifier and for simple active filter circuits

• Design and build simple cascaded active filter in order to obtain a desired frequency response characteristic

• Understand the basic operation of a single-phase rectifier with capacitive smoothing.

• Be able to simulate the rectifier in Matlab simulation program.

• Perform appropriate laboratory examination on a one-phase rectifier.

Content

Laplace theory analysis of a circuit in the time- and s-domain to examine the response of a circuit to a step function etc.

Determining the transfer function of a circuit in the s-domain. Determining the frequency response of simple passive low-pass, high-pass, band-pass and band-reject filters. Determining of the transfer function for operational amplifier circuits. Introduction to simple active filters. Introduction to the Decibel and Bode plots and how to draw a Bode plot for the amplitude and phase as a function of the frequency. A gentle introduction to the Fourier series expansion.

Theoretical review of a single-phase rectifier with capacitive smoothing, including derivation of the course of input current and output voltage as a function of load. Experimental examination of the rectifier and comparing the measurement results with the reviewed theory and Matlab simulations.

Course literature

1. Teaching material handed out by Ashraf Fathi Khalil Sulayman

2. .C. K. Alexander and M. N. O. Sadiku, Fundamnetals of Electric Circuits,

McGrawHill, 7th Eddition, 2021, is not mandatory and you can easily be without the book. However, the book is a possibility if you want a large textbook, that includes the Laplace transformation.