Questions tagged [transfer-function]

Anything related to transfer functions, i.e. those complex-valued functions of a complex variable used to model mathematically the I/O relationship of linear time-invariant initially-at-rest system using Laplace transform.

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How to add a constant to a control system block diagram

I have an equation of the system as let's say \$v=fu+c\$. I have the block diagram as Only problem is how do I get a Laplace domain transfer function out of this diagram for the output \$\large v\$ ...
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How are formulas for "in the loop compensation" of capacitive load derived?

I tried to understand https://www.analog.com/media/en/analog-dialogue/volume-38/number-2/articles/techniques-to-avoid-instability-capacitive-loading.pdf The feedback circuit is as follows: so I have ...
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Flyback converter small-signal model

I am currently designing a flyback converter and I am interested in measuring the stability of the converter (with a Bode plot). I will try to connect an isolation transformer on the feedback loop ...
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Why doesn't compensation capacitance add additional phase for OpAmp?

The following image depicts the transfer function of an compensated against an uncompensated OpAmp. If the internal Miller-compensation capacitor results in an additional pole at low frequency I ...
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Step response of critically damped PID controlled system

I thought that by definition: critically damped 2nd order system (ζ=1) does not have overshoot. Is the above assumption wrong? It might be on the verge of oscillation, but, it shouldn't oscillate. ...
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Finding transfer function from Bode plot

While I know how to find the transfer function from the response graph, I don't know how to find it from Bode plot. What I know about the system: The system is a second order system The system has no ...
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How can I determine the circuit from a transfer function [closed]

I have identified a couple of transfer functions, which fit well to measured data, using MATLAB system identification toolbox. How can I determine a circuit diagram from these transfer functions? $$\...
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Buck loop transfer function

I saw two types of buck loop transfer function from two sheets, and the difference is the second type didn't consider H(s) from compensation network. Here is the first type, error-amp with ...
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Transfer function. FACTs method

I am trying to use the FACTS method to find the transfer function expression. Could you explain how the resistances Z1, Z2 and Z23 are determined from figure 5.101? If we consider Figure 5.101b, we ...
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Closed Loop Transfer Function For Negative Feedback Circuit

I have the following circuit diagram I understand the open loop circuit (H1H2H3H4) and I also understand the negative feedbacks H1H2H6 , H3H4H5 and H2H3H7, but I can't figure it out why the ...
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How to determine difference between LHP poles and zeroes by observing Nyquist plot?

I am solving practice problems on Nyquist Plot and I got stuck at a problem having a solution which I do not get at all. Here it is: Which of the following is the transfer function of a system having ...
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Question on showing function in a control system block

I am trying to add a function to a control system diagram. I have a constant F being fed back into the diagram but it depends on a signal 'v'. In equations I directly used a signum function but for ...
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Is the resonant frequency as defined for a second order transfer function same as the frequency at resonance in a second order electrical circuit?

When I studied second order system and thus natural, damped and resonant frequency I wondered if the resonant frequency I find using the formula \$ w _ { r } = w _ { n } \sqrt { 1 - 2 D ^ { 2 } } \$ ...
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Why is each time constant in this transfer function equal to "open circuit" time constant not "short circuit" time constant?

From this lecture notes, the open circuit time constant approximation: How to prove the yellow part? The lecture note mentioned Richard Adler at MIT did prove this but I could not able to find his ...
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Transfer Function Involving Transformer

I am interested in how you would approach finding the transfer function of a circuit that involves a linear transformer. For example, the circuit below simulate this circuit – Schematic created ...
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Designing a system with desired transfer function

Suppose we have a transfer function H(s) = 1/s+1. Is there a general method by which using electric components we can construct such a system?
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Control system transfer function

I tried to find the transfer function F(s) = C(s)/R(s) through block manipulation and through Mason's Formula but the results are not matching. Where is the mistake?
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Techniques for taking a transfer function and finding its resonance frequency

I've been doing problems out of my circuit analysis textbook by Ulaby, Fawwazz et al. to study for an upcoming exam. I am having serious trouble producing a transfer function and with such finding the ...
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Filter signal on oscilloscope using math functions

Is there a way to do a time domain low pass filter, in software, on a Siglent SDS2000X Plus series oscilloscope using these math functions? The ones that stand out the most are ...
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Transcieving 125khz rf signal

Does anybody know if it is possible to connect a coaxial cable to the tx rx pins on a wireless module ? I am trying to send data via coaxial RG58 cable. Or would a twisted pair be more suitable? I ...
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Finding Transfer Function of RL Circuit

Can anyone help me to find TF of this RL Circuit
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Transfer function for Sallen-Key notch filter

How can I find the transfer function H(s) of the following circuit by using impedance of the circuit? Should I instead do it by nodal analysis?
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Integral Compensator Realization from Transfer Function

I am trying to design a compensator based on the transfer function below Gc(s)=(1.017E6s+4.969E9)/(s^2+4.884E5s) The transfer function has a constant that is offsetting circuit gain, followed by a low ...
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Q: How to read this bode plot to find transfer function?

I am working on a blackbox system and I would like to make a Bode plot to find its transfer function. Since I do not have a lot of information on the system I am trying to input a series of sin waves ...
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Complex transfer function complex conjugate issue

Going through Wireless Communication Electronics from Robert Sobot and came across the following. It's repeated throughout the book so my initial thought that it could be an error doesn't seem likely....
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HAL USB device library transfer complete callback (USB MIDI adaption)

I have been able to implement Zac Rogers USB MIDI adaptation of the Cube MX USB device middleware: https://github.com/zacrogers/blue_usb_midi I can send USB midi messages on both F103 and F411. It ...
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Transfer Function for active filter

Not too sure why, but I can’t seem to figure out the transfer function for the filter in question below. Can’t isolate Vout/Vin fully, there’s a straggling Vin that I can’t move over. Any thoughts?
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3 votes
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Vout/Vin equation in time domain vs frequency domain

While studying op-amp circuits, I notice a pattern between the Vout/Vin equation in time domain and the frequency domain. For example: (images from Microelectronics by Bahzad Razavi, 2/e) The ...
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How to control voltage at the output of the LC filter connected to the three phase inverter?

Let's say I have a three phase voltage source inverter with the LC filter connected to its output i.e. I have following circuit Suppose that my primary goal is to control the voltage at the output of ...
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How to reconstruct phase data from magnitude only data in a frequency domain function?

I'm trying to do a reverse-engineering a software called LEAP from the now disappeared LinearX company. This software can perform an operation called "Minimum Phase Transform". This takes ...
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2 votes
2 answers
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Are systems with more zeroes than poles really non-realizable?

I have learnt that systems whose transfer functions have more zeroes than poles become non-causal and thus non-realizable in practice for real time implementation. But an op-amp differentiator, like ...
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1 answer
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Transfer Function of 2 Loop RLC Circuit

simulate this circuit – Schematic created using CircuitLab For a problem I am tasked with finding the transfer function \$G(s) = \frac{V_o(s)}{V_i(s)}\$. I am having trouble defining the 2nd ...
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Frequency domain design of a PI controller for a first order system with transport delay

Let's say I have following first order system with transport delay $$G(s) = \frac{4563}{s + 64.77}\cdot e^{-0.000455\cdot s}$$ My goal is to design in the frequency domain a PI controller in the form $...
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How to find the complete transfer function based on phase measurements

I want to find the transfer function with a certain number of poles of an electronic amplifier circuit based on the same number of phase measurements. For example, I have 3 phase measurements: \begin{...
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1 answer
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Output Voltage of Instrumentation Amplifier Configuration

I'm trying to find the output voltage using the superposition theorem for this circuit configuration when RG is connected. I'm working with ideal op amps. As far as I understand the circuit, when VB ...
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How to design PI controllers for two cascaded control loops?

Let's say I have following cascaded control loops: inner current control loop with bandwidth \$\omega_{bw_{1}}\$ (PI controller \$R_{i_{s_{d}}}\$) outer flux control loop with bandwidth \$\omega_{bw_{...
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System level behavioral model for PSSR of a switching regulator

In a design I have a switching regulator (buck for the sake of my example). The switching frequency is much higher than the frequency range of interest and can be safely ignored. However, the input ...
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Find the transfer functionof a circuit with an operational amplifier

I've got a problem with an operational amplifier, which I need help to find the transfer function $$ H(s) = \frac{V_{\text{out}}}{V_{\text{in}}}$$ Since $$V_{+}(s) = V_{\text{in}}(s)\frac{1}{1+sCR_3}$$...
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1 answer
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Notion of Q factor for abstract Two-Port Network

Consider an abstract two-port network/quadripole electrical network with input voltage \$U_{in}\$, output voltage \$U_{out}\$, current at input port \$I_{1}\$ and current at output port \$I_{2}\$: ...
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3 votes
2 answers
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What is DC small-signal transfer function?

Can someone please explain to me what is the DC small-signal transfer function? I found this analysis type in LTSpice and I have no idea what it does! My guess: It linearizes the circuit around the ...
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How do you generate an impulse signal in a mechatronic system?

Background: I have a piezoelectric force transducer that I am using to measure the force produced by a combustion reaction in a tube. The issue is that there is a lot of ringing that occurs during the ...
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How to find the transfer functions of parts of a motor controller

Derive the transfer function of: a) The controller, in terms of R1 and R2; b) The buffer/amplifier block. What is the purpose of this last block? I have done questions on finding transfer functions ...
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How do I show mathematically that this op-amp functions as a summer? [closed]

The only thing I know so far is to ensure that I derive with Er = Ein - Efb. Any ideas on how to derive it mathematically?
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Signals and systems - Find the inverse Fourier transform of a RLC circuit

I was analyzing the following RLC circuit: And applying the Fourier transform on the circuit, I ended up with the following transfer function: $$ H(\omega)=\frac{V_c(\omega)}{V_i(\omega)}=\frac{1}{1+...
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Modelling the PCB parasitic capacitance in LTSpice

I need to simulate the accurate behaviour of my attenuator made of an RC potential divider. Time constants of the top and bottom of my attenuator are matched. I noticed that when I inject a square ...
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Does every transfer function in a circuit have its own resonant frequency?

When I studied the resonant frequency of an RLC circuit in series and parallel, there was the definition that I read in books that the imaginary part of the total impedance of the circuit has to be ...
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2 votes
2 answers
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Second Order LTI Low Pass Filter solving for Voltage Out

I'm having a problem with understanding my textbook for solving the Voltage Out for the second order LTI Low pass RC Filter. Why do you need to find the square root in the given equation with the red ...
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1 vote
2 answers
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Advice to calculate the transfer function of circuits

I'm a bit confused, to get the transfer function, what's the approach to work out in the cascade arranges like these? I know it should be done using superposition, but passing R2 and cR3 I got lost ...
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Approximating a transfer function

Given the following transfer function: $$H(s) = \frac{20ks + 1200k}{s^3 + 98s^2 + (20k - 191)s +900 + 1200k}$$ I'm asked to reduce this transfer function to a regular second order transfer function as ...
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-4 votes
4 answers
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Where is my capacitors energy missing?

To avoid "mistakes", may I recall that, mathematically, \$\infty \times 0 \$ can be ... finite! Otherwise, why use a Dirac impulse? After reading this and this, I have yet a "question&...
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