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Questions tagged [steady-state]

The state of a circuit after all transients (e.g. supply voltage ramp, load transient, etc.) no longer have a significant effect on the circuit operation.

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Is steady state ac circuit analysis possible on a purely inductive circuit?

Is steady state ac circuit analysis possible on a purely inductive circuit? Consider the circuit: The dynamics should be: $$ v_1 = L i^\prime + Ri + v_2\\ i(0) = i_0 $$ Now, say we do steady state ...
wyer33's user avatar
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Is it possible to write a sinusoidal steady state response of a RC circuit with diode involved?

Let's consider this circuit. When everything is ideal and the forward voltage of the diode is 0. When the current is going forward, the time constant is R1*C. When reversed, it is (R1//R2)*C. Is it ...
Wenxin Zeng's user avatar
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When can we apply phasor analysis to an \$RLC\$ circuit?

This answer of mine shows that not every \$RLC\$ circuit reaches sinusoidal steady state at input frequency. A well-known theorem states that: If all natural frequencies of a uniquely solvable LTI ...
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A steady-state DC model of FLyback in CCM with two outputs (multiple outputs) [closed]

I tried to post it in a "normal" form but Stack blocks it, so put the question as figures.
Bart's user avatar
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A question about the validity of impedance rules

Let’s consider an RLC circuit connected with a sinusoidal source, my goal is to find the current \$I(t)\$, this is done by solving the following differential equation: \$ \frac{{d^2I}}{{dt^2}} + \frac{...
user9276043's user avatar
2 votes
1 answer
294 views

Finding the K value for minimum damping coefficient

I have a block diagram, From the diagram, I think the two summing points at the middle of the diagram can be switched, therefore, I got open and close loop transfer function as below: $$ \begin{...
Sonamu's user avatar
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How to separate Transient and Steady-State Expression from Periodic Summation Response?

Background My question comes from here, it's a response of 1st order LPF RC circuit from an arbitrary periodic input. How to determine the transient response of a circuit to causal periodic inputs? ...
Unknown123's user avatar
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How to find R and L in a circuit when you know tau and steadystate/stationary value

I am given the circuit below: I know that the equation governing the circuit is: $$ I(t) = I_{0}e^{{\frac{{-R}}{L}t}} $$ I also know that the time constant τ is given as: $$ \tau = \frac{{L}}{R} $$ ...
karl karlsen's user avatar
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Aren't bus voltage angles directly measurable?

The state of the AC power system is expressed by the voltage magnitudes and phase angles at the buses. Although relative phase angles of bus voltages cannot be measured, they can be calculated using ...
artist_and_not_EE_by_training's user avatar
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Extend classic transistor flip-flop to an n-state flip-flop?

There is the classic flip-flop using two transistors. I now tried to extend it to be able to store more than 2 states, and thought it'd be interesting to be able to extend it to 3 or an arbitrary ...
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In this RL circuit, why is the time constant independent of the resistor in parallel?

I have to find the time constant of the above circuit. I know that the time constant of this circuit without the resistive branch is \$\frac{L}{R}\$, but I'm unable to understand why the time constant ...
math and physics forever's user avatar
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Effect on stability margins when an integrator is introduced in the loop of a closed loop system

I was asked a question in a control system test which is as follows: *Introduction of integral action in the forward path of a unity feedback system results in a a) marginal stability b) system ...
aviral upadhyay's user avatar
4 votes
3 answers
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Calculating the impedance formula of an inductor

Assume we have a purely inductive circuit such as below: To calculate the most general case, \$V_1\$ is given as such: $$v(t) = V_m \cdot \cos(\omega t+\theta)$$ For an inductor, \$v(t) = L \dfrac{\...
ozgun can's user avatar
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Settling time from change in plant

I have an electrical circuit as shown below: I would like to formulate an equation for the settling time for the voltage on the capacitor node given a change in resistance on R2. I have calculated ...
Rob Robinson's user avatar
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131 views

How does Kirchoff's current law work for sinusoidal voltage sources?

I was solving a steady state question with sinusoidal AC voltage source and the solution for the question used Kirchoff's current law to find the nodal voltage of a node. Now, I used to think that I ...
Sam1470's user avatar
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For below circuit, the simulation result is not matching with theoretical prediction

Please note that i1(t) is the loop current (in loop analysis method) and not the inductor current. The answer to above problem is option B, which is derived below Following principles are used: ...
Dynamic_equilibrium's user avatar
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How output is not zero if error is zero in control systems

In a classical negative control scheme where we have a plant and controller in series and no disturbance. The system is designed such a way to make output is equal to input no matter what problems ...
OnurTR's user avatar
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Transient analysis for circuits with AC excitation using differential equations

In the process of finding transient response for circuits with AC excitation using differential equations, we use the method of complementary functions and particular solution, but I read earlier that ...
Sam1470's user avatar
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2 votes
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Laplace analysis of coupled circuit confusion

So i solved this by first finding differential equations and then by taking laplace transform of them here are my working- for left loop $$5i_{1}\left( t\right) +4.9\dfrac{d}{dt}i_{1}\left( t\right) -...
fpsshubham's user avatar
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Can a system get immediately to the sinusoidal steady state?

Suppose we have a theoretical LTI causal system with zero initial conditions and we apply a sinusoidal input at t=0. If the system is initially at rest, will the output be equal to H(ω)cos(ωt+Arg(H(w))...
dimen's user avatar
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How to analyze first-order transient circuits using Simulink?

I have been trying to design a first-order circuit with a capacitor but, I could't achieve to initaliaze the steady-state condition. I mean I was not able to close the switch at t = 0. Since, I am ...
Sannet's user avatar
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3 answers
252 views

How to guarantee steady state conditions on boost converter

I am teaching myself about boost converters, and I understand the operating principles- to a point. Specifically, I understand what happens to the conductor during the switch-closed portion of the ...
Joshua Gardner's user avatar
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Jump in RC current response to a square wave

Periodic square wave feeding an RC circuit: I am currently studying RC filter response to a square wave input with a period of \$ T_1 + T_2 \$. I have understood about voltage expressions and current ...
fpsshubham's user avatar
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226 views

Are impedance calculations only specific to sinusoidal inputs?

All impedance formulae we've derived in my course and calculations e.g. combined impedances in series have all assumed sinusoidal steady state. My question is, does the notion of "impedance" ...
Gary Allen's user avatar
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error in dimension for adder in negative feedback loop

im a universiity student i was trying to model this state space with simulink i tried to use the state block but got the same error i think i need to use mux i already checked the dimensions for A B C ...
lolls222's user avatar
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1 answer
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Velocity control system is stable even though CLTF has a pole at s=0?

I was reading about steady error calculation for system with H(s) having Nth order Zero at s=0. In book it is written that steady error calculation is meaningless when closed loop transfer function(...
MR LUN's user avatar
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How to find the v(t)?

can someone help me in here. Find the V(t) when t = 2,5ms and knowing that i(t) = Icos(wt). R= 50ohms, L=100mH, I=2A, w=100π rad/s Like I know that Z = 50 + j10π = 59,05∠32,14° And v(t) = Z*i(t) = 59,...
Lusvi's user avatar
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2 votes
1 answer
229 views

Is it possible to change the reference clock in a cpu while it is running

I understand that PLLs have a settling time but if I were to do a hardware modification that changes Vco of a reference clock to scale based on temperature of my CPU, would I be able to do so while ...
Bots Fab's user avatar
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675 views

Lithium ion battery pack busbar thermal calculation

I am designing busbars for lithium-ion battery pack which is 14-series, 9-parallel combination. We have taken busbars sizes as per the industry standard current density 3A/mm2. (Total current 48 A, ...
palle venkii Reddy's user avatar
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393 views

Steady state current in circuit containing dependent source

I was solving a question and got confused about steady state current in circuit (image), in solution it is given that steady state current across inductor will be zero as all the initial current of ...
user215805's user avatar
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steady state voltage in capacitor network

simulate this circuit – Schematic created using CircuitLab I have this capacitance network in my circuit and I can't figure out the math behind why the final steady-state value of Vx=0.542v when ...
Adithya's user avatar
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Transient and steady state of marginally stable system

I know that if a system is asymptotically stable then after infinite time its output contains only characteristic of input signal and it is also known as steady state and there are no transient ...
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What are the exact meanings of reactive and apparent powers? Do we say they are supplied or consumed?

(The following doubt is from the topic of Sinusoidal Steady-State Analysis of electrical circuits) I understand the meaning of real power - it is the average power consumed (or delivered) by an ...
Aditya's user avatar
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1 answer
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Sinusoidal steady-state analysis

Find the Transfer function of the given circuit in the frequency domain.The problem here is that the equations of this circuit become complicated by finding equal Z of R,C,L (right side of the circuit)...
Rasoul Akbari's user avatar
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1 answer
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What happens to the steady state of the series RC circuit if changes happen to any circuit element?

The question that I'm trying to understand is the following: In any series RC circuit that is in steady state, WHEN any of the elements changes (R, C, or applied voltage), the following will happen ...
romeoPH's user avatar
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2 answers
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Find v1=? and v2=? for the circuit

This is my solution,but i have a problem with doing a node analysis for node 2 and 3.In my textbook the solution is like this: (2+i1+i1)V1 -2VO -i1V2=0 and(1-i2+i1)V2-i1V1=5
Alice At.'s user avatar
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1 answer
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Control System how to get rid of Steady-State Error For Ramp Input

I am supposed to get rid of the steady-state error for ramp input for this closed loop transfer function Transfer Function of Closed Loop ^ T(s) Closed Loop ^ Since the closed loop is equivilant to ...
Gary Khaw's user avatar
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2 mesh circuit giving me trouble. (steady-stade, mesh current method, dependent current source)

The task is to find Ic in phasor form. The circuit is in steady sinusoidal state. I used mesh current analysis and I got to that: I have no idea how to keep ...
lowspacetop's user avatar
1 vote
1 answer
219 views

Laplace Transforms and the imaginary input

When we get an exponential on the RHS of our differential equation (or if we give an exponential input) it's quite easy to solve the equation, but if we provide a sinsusoidal or cosinusoidal input, ...
Aravindh Vasu's user avatar
2 votes
4 answers
521 views

Is the frequency response of a circuit only valid for steady state (phasors)?

This is my first post. I just finished a course about advanced circuit analysis techniques (the content was taken from textbooks by Sadiku, Hayt and Irwin.) As you know, phasors are used to solve ...
alejnavab's user avatar
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1 vote
1 answer
507 views

Steady error control system sinusoidal disturbance

Consider the control system closed-loop represented such a block diagram below: Given that: \$G_C(s) = K\$ and \$G(s) = 1/s\$ a) Determine the values of \$ K\$ which the closed-system loop is stable....
miguel747's user avatar
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Finding voltage across inductor in steady state

I am uncertain about the voltage drop I got across the inductor because of its extremely small magnitude compared to the voltage source. Was my procedure correct or were there any flaws in my ...
Hector's user avatar
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3 answers
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General expression for non-unity gain feedback system's steady state error with disturbance

Thanks in advance for having a look. I finally have some time on my hands to go back through my controls systems text and I want to understand how the general expression is derived; rather than just ...
graybeard's user avatar
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Steady state error due to disturbance

I was trying to solve a question from the 2004 GATE IN paper, I solved it this way, Now, the book is giving a different solution, I'm pretty sure my way is correct since they pulled the "standard ...
Aditya P's user avatar
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2 answers
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Do resistors consume reactive power?

I encountered this problem in one of my books where the problem asked to find the power loss in the core of an induction motor. I worked through the problem and I found the current as in the picture, ...
amidher's user avatar
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2 answers
174 views

semiconductor equilibrium and steady state

Why should equilibrium imply steady state? For example, there is a process whose rate increases with time and this process can be exactly balanced by an inverse process whose rate also increases with ...
Rohan 's user avatar
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1 answer
599 views

Mesh Current Method Circuit Analysis For AC Transient and Steady State Solution of RL Circuit

Hi everyone, I'm trying to find the currents through each branch for the above circuit using mesh current method (as I don't really know how else to do it), and end up with two simultaneous ...
Big Gulps's user avatar
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2 answers
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Transfer function for a Passive Second order Low-pass Filter and to determine the components values

I am working on an assignment about Passive, second order low-pass filters. Cool little things if you get to know them. We are given the placements of the passive components (Inductor(L1), ...
Michelle's user avatar
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2 answers
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How do I shine an LED when a PIR detects movement but keep it shining until a reset button is pressed?

It's easy even for a beginner like myself to create a PCB where an LED lights up if a PIR chip detects movement, then goes off when movement is no longer detected. And if more movement is detected, ...
David Mowatt's user avatar
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1 answer
3k views

PID control achieves zero steady state error with step set points and disturbances?

How can I explain this with proper reasoning? I'm also having doubt understanding why a proportional controller cannot eliminate SSE and how a PI controller eliminates it.
Zeno San's user avatar
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