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Routh Hurwitz Stability Criterion DefinitionIt is a method to determine the stability of a system using the characteristic equation.Hurwitz CriterionUsing the characteristic equation, we can create several Hurwitz determinants to determine the system’s stability. The characteristic equation of the system is defined as follows:There are n determinants for an nth order characteristic equation.Here is how to write determinants from the coefficients of the characteristic equation. Follow these steps

Root Locus Technique DefinedRoot locus in control system is a graphical approach used to analyze the effects of varying system parameters on the stability and performance of a control system.Advantages of Root Locus Technique Root locus technique in control system is easy to implement as compared to other methods. With the help of root locus we can easily predict the performance of the whole system. Root locus provides the better way to indicate the parameters.This article will frequently use sp

What is State Space Analysis?State Space Analysis DefinitionState space analysis of control systems is a method to analyze both simple and complex systems using a set of variables to describe their behavior over time.State Space EquationsLet us derive state space equations for the system which is linear and time invariant.Let us consider multiple inputs and multiple outputs system which has r inputs and m output.Where, r = u1, u2, u3 ……….. ur.And m = y1, y2 ……….. ym.Now we are taking n state var

Block Diagram DefinitionA block diagram is used to represent a control system in diagram form. In other words, the practical representation of a control system is its block diagram. Each element of the control system is represented with a block and the block is the symbolic representation of the transfer function of that element.It is not always convenient to derive a complex control system’s entire transfer function in a single function. It is easier to derive the transfer function of the contr

Transient Response of Control SystemAs the name suggests transient response of control system means changing so, this occurs mainly after two conditions and these two conditions are written as follows-Condition one : Just after switching ‘on’ the system that means at the time of application of an input signal to the system.Condition second : Just after any abnormal conditions. Abnormal conditions may include sudden change in the load, short circuiting etc.Steady State Response of Control SystemS

Signal Flow Graph DefinitionA signal flow graph simplifies control system diagrams by using nodes and branches instead of blocks and summing points.Rules for Drawing Signal Flow Graph The signal always travels along the branch towards the direction of indicated arrow in the branch. The output signal of the branch is the product of transmittance and input signal of that branch. Input signal at a node is summation of all the signals entering at that node. Signals propagate through all the branches

Digital Data DefinitionDigital data in control systems consists of discrete or sampled data that represents continuous signals in a digital format.Sampling ProcessSampling is the conversion of analog signals to digital signals using a sampler, which switches ON and OFF.The sampling process converts analog signals into digital signals using a switch, called a sampler, that turns ON and OFF. For an ideal sampler, the output pulse width is very small (almost zero). In discrete systems, Z transforma

What is Mobile Substations ?Mobile Substation DefinitionA mobile substation is a portable power distribution system used for temporary or emergency power supply.ComponentsIncludes transformers, cooling systems, switchgear, metering systems, protection relaying systems, auxiliary power supplies, surge protection, and cable connections.Types of Mobile Substations Compact and modular mobile substations Skid-mounted substations Containerized substations Rail-wagon substationsBenefits Offers mobility

What is a Transfer Function?Transfer Function DefinitionA transfer function is defined as the ratio of the Laplace transform of a system’s output to the input, assuming initial conditions are zero.Utilization of Block DiagramsBlock diagrams simplify complex control systems into manageable components, making it easier to analyze and derive transfer functions.Understanding Poles and ZerosPoles and zeros critically influence a system’s behavior by indicating points where the transfer function respe

What is Settling Time?Settling Time DefinitionSettling time is defined as the period needed for the output of a dynamic system to remain within a certain tolerance level of its final value.Settling Time FormulaThe formula for settling time is determined by taking the negative natural logarithm of the product of the tolerance fraction and the square root of one minus the square of the damping ratio, divided by the product of the damping ratio and the natural frequency. This explains how quickly t