Sinusoidal steady-state phasor analysis, Electrical Engineering

Assignment Help:

Q. Sinusoidal steady-state phasor analysis?

The kind of response of a physical system in an applied excitation depends in general on the type of excitation, the elements in the system and their interconnection, and also on the past history of the system. The total response generally consists of a forced response determined by the particular excitation and its effects on the system elements, and a natural response dictated by the system elements and their interaction. The natural response caused by the energy storage elements in circuits with nonzero resistance is always transient; but the forced response caused by the sources can have a transient and a steady-state component. The boundary conditions (usually initial conditions), representing the effect of past history in the total response, decide the amplitude of the natural response and reflect the degree of mismatch between the original state and the steady-state response. However, when excitations are periodic or when they are applied for lengthy durations, as in the case of many applications, the solution for the forced response is all that is needed, whereas that for the natural response becomes unnecessary. When a linear circuit is driven by a sinusoidal voltage or current source, all steady-state voltages and currents in the circuit are sinusoids with the same frequency as that of the source. This condition is known as the sinusoidal steady state. Sinusoidal excitation refers to excitation whose waveform is sinusoidal (or cosinusoidal). Circuits excited by constant currents or voltages are called dc circuits, whereas those excited by sinusoidal currents or voltages are known as ac circuits.Sinusoids can be expressed in terms of exponential functions with the use of Euler's identity, where j represents the imaginary number √-1. The reader is expected to be conversant with complex numbers.

2320_Sinusoidal steady-state phasor analysis.png

If we are able to find the response to exponential excitations, e or e-jθ , we can use the principle of superposition in order to evaluate the sinusoidal steady-state response. With this in mind let us now study the response to exponential excitations.


Related Discussions:- Sinusoidal steady-state phasor analysis

Calculate minimum number of poles for the induction machine, A wound-rotor ...

A wound-rotor induction machine, driven by a dc motor whose speed can be controlled, is operated as a frequency changer. The three-phase stator winding of the induction machine is

Find the impedance of the series combination, Q. An RL series circuit carri...

Q. An RL series circuit carries a current of 0.02 cos 5000t A. For R = 100  and L = 20 mH, find the impedance of the series combination and determine the voltage across the series

Digital switching switching in telecommunication, Name the switching scheme...

Name the switching schemes used in a digital exchange

Purpose of compensation and space charge neutrality, My question about abov...

My question about above topic is"what is the use of the of this process" why we do compensation and space charge carrier

Second quadrant or class b chopper, Second Quadrant or Class B Chopper ...

Second Quadrant or Class B Chopper Class B  chopper  is shown in figure in this  type of  chopper load  must contain  a dc source E ( may  be battery or a DC motor)  and induct

Current source inverter , Current  Source Inverter (CSI) Current  sour...

Current  Source Inverter (CSI) Current  source  inverter has constant  input  but it  can be  adjusted. In CSI  the amplitude of output  current is  independent of load. The lo

Explain sar instructions in 8086 family, Explain SAR instructions in 8086...

Explain SAR instructions in 8086 family with example and their effect on flag. SAR: Shift each bit of operand right through given number of bits, this instruction shifts eve

Discuss the nature of sinusoidal signal, Q. Discuss the nature of sinusoida...

Q. Discuss the nature of sinusoidal signal? Discuss the nature of evenness and oddness of: (a) The sinusoidal signal x(t) = A cos(2πf 0 t + θ). (b) The complex exponentia

Motor windings, What is the main function of dummy coul in winding?

What is the main function of dummy coul in winding?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd