Difference between Poles and Zeros of a Control System

April 22nd, 2014 | Make a comment | Posted in Electrical distribution
Tags: , ,

In the previous article, Nasir discussed transfer function of control system. Now check the last but one article of his tutorial: Difference between Poles and Zeros of a Control System…

Introduction

The input-output explanation of system is elementally the spreadsheet of all possible input-output pairs. Like for linear system, spreadsheet can be described by single input single output pair, e.g. the impulse response or the step response.

Transfer function is function of complex variables. The transfer function can be obtained by simple algebraic jugglery of differential equations that illustrates the system. Transfer function can represent higher order systems also, even infinite dimensionless systems which regulates on partial differential equations.

The frequencies for which the values of denominator and nominator become zero in a transfer function are called Poles and Zeros. Poles and Zeros analyze the performance of a system and check the stability. The values of Poles and Zeros control the working of a system. Usually the numbers of Poles and Zeros are equal in a system and in some cases number of Poles is greater.

Definition of Poles

Poles are the roots of the denominator of a transfer function. Let us take a simple transfer function as an example:

Where, N(s) and D(s) are simple polynomials.

Where, N(s) and D(s) are simple polynomials

Read the rest of this entry »

What is Transfer Function?

April 18th, 2014 | Make a comment | Posted in Panel Building
Tags: , ,

Last but one tutorial from the series about the Control Systems topic written by Nasir, our active member of the community. Will this definition help you?

Introduction

In Analyzing and designing of any system, the most important factor is the mathematical modeling of that system. There are many mathematical models to describe control systems.

In physics, transfer function maybe defined as mathematical representation (in terms of frequency) of interrelation between input and output in linear time uninterrupted systems with zero pint equilibrium and zero initial conditions. If talking particularly about control systems then it can be defined as the ratio of the Laplace transform of the output variable to the Laplace transform of the input variable, with all zero initial conditions.

Transfer function is function of complex variables. The transfer function can be obtained by simple algebraic jugglery of differential equations that illustrates the system. Transfer function can represent higher order systems also, even infinite dimensionless systems which regulates on partial differential equations.

Read the rest of this entry »

Selection of Miniature Circuit Breaker

April 15th, 2014 | Make a comment | Posted in Electrical distribution
Tags: , ,

Thanks to Manish, another member of the electrical engineering community, for sending us this article about MCBs. Remember you can also send us articles about the topic you want by a mail

MCB stands for Miniature Circuit Breaker. It is a vital circuit breaking component found in today’s modern electrical distribution system. It replaces earlier method of circuit breaking done via melting fuse wire.

A melting fuse wire system is replaceable type of circuit breaking in which the fuse wire melts and permanently breaks the circuit upon an overload current event. Due to this hence it is quite cumbersome to each time replace and fix a new fuse wire.

A miniature circuit breaker on other hand is reusable type of circuit breaking device that is nowadays widely used in homes and offices.

Working Principle

While the main purpose of this article is about selection of MCBs, it is worth summarizing the working principle of MCBs in brief.

MCB is a compact cased device that has an electro-mechanical mechanism inside that provides overload protection.

There are essentially three different mechanisms inside that provide overload protection:

Read the rest of this entry »

Introduction to Laplace Transform

April 11th, 2014 | Make a comment | Posted in Panel Building
Tags: , ,

Check the next part of Nasir’s tutorial on Control Systems. What do you know about Laplace Transform?

Definition

Laplace transformation converts differential and integral equations into rather simple algebraic equations. Laplace transform is nothing but a simple operational tool, used to solve linear differential equations with constant coefficients.

The transformation is only applied to general signals and not to sinusoidal signals. Also, it cannot handle steady state conditions. It enables us to study complicated control systems with integrators, differentiators and gains.

On basis of Laplace transformation we analyze LCCODE’s and circuits with several sources, inductors, resistors and capacitors.

For a given function f (t) such that t Introduction to Laplace Transform_symbol1 0, its Laplace transformation is written as F(s) = L {f (t)} and is written as:

Introduction to Laplace Transform_1

Read the rest of this entry »

Transient Response Analysis of Control Systems

April 8th, 2014 | Make a comment | Posted in Panel Building
Tags: , ,

Check our loyal member Nasir’s last article from his tutorial on Control Systems.

Introduction

As we discussed earlier there are two ways to analyze the functioning of a control system, time domain and frequency domain analysis. In time-domain analysis the response of a dynamic system to an input is expressed as a function of time. The time response can only be analyzed when the model of system plus nature of input signals are known.

AS the input signals are usually not comprehended completely ahead of time, it is difficult to express the input signals through simple mathematical equations. The behavior of a system that is dynamic in nature is analyzed under typical test signals. These signals are an impulse, a step, a constant velocity and constant acceleration. Another signal is sinusoidal which is of great importance.

There are two components of time response of a system:

  1. Steady-state response
  2. Transient response

Transient Response Analysis of Control Systems1

Read the rest of this entry »

Electrical engineering Community is proudly powered by WordPress
Entries (RSS) and Comments (RSS) and license Creative Commons License