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Transfer function, zeros and poles of the circuit
I am trying to determine the transfer function $$H(s)=v_{OUT}(s)/v_{in}(s)$$, zeros and poles of the transfer function of the above circuit.From the obtained form of the transfer function H(s) as the...
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Why do these two voltage-to-torque methods behave so differently for my DC...
As my first real Simulink project, I'm making a reaction-wheel stabilizer. I'm using Simscape Multibody and Model Linearizer to control the motor with a linear quadratic regulator and the motor voltage...
View ArticleDeriving a Chebyshev lowpass filter from a transfer function
I want to determine the values of the Chebyshev filter having the following transfer function.$$H(s)=\dfrac{0.0626}{(s^2+0.1098s+0.936)(s^2+0.2873s+0.377)(s+0.1775)}$$My initial road map on this...
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How do I find the transfer function of a PID that uses a single op-amp?
How does one go about finding the transfer function of the following op-amp PID?I have tried to convert each component of the circuit into its transfer function representations, e.g., making each...
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How should I apply FACT technique on this circuit?
I am learning the fast analytical circuit technique. How could I calculate the pole in the circuit below? I also calculated in the "traditional" way.I was able to determine the zero and the static...
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How does the Fast Lane create a zero in the transfer function?
I am analyzing the effect of the Fast Lane through an operational amplifier circuit. It seems as though the Fast Lane creates a zero, but I am not entirely sure about this.If the output impedance of...
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ADuM3190 Transfer Function
The ADuM3190 seems like a good alternative to the TL431+opto solution. However, I would need to know its complete transfer function for proper use. The datasheet doesn’t explicitly include this, but...
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Parallel RC circuit differential equation for a mechanical engineer
For a mechanical engineering course in controls, I was asked toWrite the differential equation, state equation, and transfer function for this circuitThat's the full text of the problem, and the...
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Calculating explicit transfer function for two diode voltage dividers
I'm seeking to write explicit, non-approximated voltage transfer functions for some diode voltage dividers. Ideally, I want to obtain \$V_{out}\$ purely as a function of \$V_{in}\$ without using...
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What is the recommended minimum DC gain for isolated switching power supplies?
I am studying one of Christophe Basso's excellent articles, where he describes the transfer function of the TL431 error amplifier in a Type II configuration (No Fast Lane configuration):$$|H(s)|=CTR...
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Finding the transfer function of this circuit
I’ve been working on finding the transfer function for this circuit and tried the following:Used KCL at nodes Va and Vb, incorporating the resistors and capacitors, but got stuck with the middle 2C...
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Analysis of the circuit and transfer characteristic
In order to analyze how the circuit works, we need to use the superposition principle because we have two sources and we need to make assumptions about when the diode \$D_1\$ is ON and when the diode...
View ArticleRelation between the input signal u and the error e
So I have the following excercise. Consider a simple feedback system with transferfunction \$G_1(s)=\frac{1.5}{s(s^2+2s+2)}\$. Determine the constants of the phase lag compensator...
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Negative phase margin and misconception of the point of instability in...
PreludeConsider a canonical block diagram of a negative feedback loop with gain \$K\$, plant transfer function \$G(s)\$ and feedback transfer function \$H(s)\$: -Regardless of what functions K, G, and...
View ArticleClosed loop impedance of buck converter
I found it easy to workout the open loop input impedance and the open loop output impedance of a buck converter. But when it comes to the closed loop output impedance, it is hard to me. In some books...
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Plotting a Bode from a Transfer Function on Matlab
I need a bode plot for a transfer function from matlab which I never did before. I tried some examples but failed. How to do this on matlab?Here is the TF:
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Transfer function for Twin-T circuit for notch filter -- choosing component...
A notch filter is a system with transfer function$$H(s) = \frac{s^2 + \omega_0^2}{s^2+ 2\omega_0\cos(\theta)s + \omega_0^2}$$In "math form", this transfer function can be written as$$ H(s) = \frac{s^2...
View ArticleLow Entropy derivation of Transfer Functions with OP AMPS
I was recently low entropy equations of passive filters, and came across the Extra Element Theorem and all of its uses.I was wondering if the there is something similar for OP AMP circuits/ Active...
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Cascaded Voltage Divider
I have the following circuit:simulate this circuit– Schematic created using CircuitLabAt first glance, it looks like the expression for the voltage at V0 is the following:$$ V_0 =...
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Delay and Stablity in Negative Feedback Systems: Confusion
Below is a block diagram that shows an op-amp in negative feedback with feedback network made from resistive divider:The encircled block is Op-Amp with 1 and 2 as its inverting and non-inverting pin...
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3rd order filter - n Extra element theorem
I am trying to get the transfer function Vout/Vin of the following filter :For this, I applied the n-Extra Element Theorem . I order a book which seems to have more examples than the one I actually...
View ArticleLC filter synthesis, given transfer function (by expressing driving point...
I want to know how to synthesise a passive LC circuit to implement an arbitrary known transfer function. (I understand that not all functions are suitable, so let's assume \$T(s)\$ is a positive real...
View ArticleCan a Positive feedback system become stable?
The Transfer function of the postive feedback system is this$$\frac{H(s)}{1-G(s)H(s)}$$If $$G(s)H(s)>>1$$The transfer function could be approximated to be $$\frac{1}{-G(s)}$$And if G(s) could be...
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Unsure about RLC low pass transfer function
I'm unsure about the RLC low-pass filter transfer and frequency response functions I've been trying to calculate.I need $$ H(s)=\frac{Y(s)}{X(s)} $$ where x(t) is Vin and y(t) is Vr. I calculated...
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Is there any practical reason for the ordering of component values in an LC...
Recently, I've been exploring the driving-point impedance procedure for the derivation of double-terminated LC ladder lowpass filters. The driving-point impedance \$\text{Z}_{11}\$ for a...
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Common mode voltage with configurations of Opamp
I am reading this article (https://www.analog.com/media/en/training-seminars/design-handbooks/designers-guide-instrument-amps-complete.pdf) in order to understand more how traditional instrumentation...
View ArticleCalculating and plotting the argument of a transfer function
My transfer function is the following.$$ H(\omega) = \frac{2000}{201\cdot10^3 + 109 10j\omega - 0.132\omega} $$I have trouble calculating the argument. Is it the following?$$ \lvert H \rvert = \arg...
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How to "approximately" get the transfer function for a two-stage op-amp circuit?
One way to solve the above circuit is to write KCL equations and solve, but it is too lengthy. Another way is to look at the circuit for high frequency and low frequency and find the poles and zeros...
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Transfer Function of multiple feedback bandpass filter (with Vcm at positive...
How to calc bpf 1 transfer function? all questions I see on net have gnd at non-inv term. but here it is Vcm because of which constant term coming. how to get Vo/Vi?
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Cascading op-amps
I am trying to figure out the gain of the following circuit:What I have done so far is looking at each amplifier independently:$$U_3=-R_9/R_8=-4$$$$U_4=R_{10}+R_{11}/R_{10}=3$$$$V_o=-R_9/R_8 \times...
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