Questions tagged [pole-zeroplot]

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Pole zero cancellation amplifier circuit

I've built the circuit which looks like this: At the input comes pulses from 30 volts biased photodiode. After adding parallel 4.7 nF and 10kΩ for pole zero cancellation everything works fine, in AC ...
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Identify zeroes of circuit by inspection

In a circuit, we can approximate the poles of the transfer function by calculating the AC Resistance and Capacitance at every node. For every node we get a pole so a change of slope in the Bode plot ...
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Magnitude of a Transfer Function

So I have an unknown circuit with a plot like this: From this I have to determine a likely transfer function model. It looks to me like there is a pole at 50 rad/sec and a zero at 1500 rad/sec, with ...
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Finding the position of a zero without doing explicit calculations

I have the following circuit: It is a fully-differential amplifier. Since the circuit is symmetrical with respect to the vertical axis, only the right portion (for example) can be studied to find ...
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Exciting an RC Circuit at its TRUE Pole on the Sigma (Real) Axis in the Left-Half Plane

Yeah, you probably are reading this question and thinking I'm one of those engineers who hasn't learned about the s-plane. I can assure you I'm not! I know that the transfer function of an RC circuit (...
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Breakpoints, poles and zeros of a band reject filter

I'm reading a manual about op. amps. (op amps for everyone) which, at a certain point, speaks about poles and zeros. I'm trying to understand the following example: Given the following band reject ...
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Root Locus of the system

How can I plot root locus like these system can you help me?
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1 answer
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Complex conjugate poles for OTA unity gain

So I am designing an OTA, exactly like Miller OTA, but I tried to see the behaviour without Miller compensation. The circuit diagram is shown below As seen there is no compensation network, neither ...
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6 answers
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Why is frequency not measured in db in bode's plot?

While drawing bode's graph paper where Y axis is gain given in db while the X axis is frequency given in absolute value but scale used is log. I think the reason for log scale on X axis is to increase ...
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Break in and break away point

Consider the open loop transfer function of \$\frac K{s^3+2s^2+2s}\$. In a negative feedback system, that has three poles \$0, -1+i ,-1-i\$. Is there any break-in or break-away point because only one ...
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Do we analyze real poles the same way you analyze complex conjugate poles?

So I am analyzing a filter and I came up with the following expression for the transfer function in its canonical form: $$\frac{987654 + 4666.67 s + 1. s^2}{2.48519 \times10^8 + 52316.2 s + s^2}$$ ...
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Zeroes of transfer function

In 'Franklin F kuo's book it is written that "The zeroes of transmission of the ladder occur at the poles of The series branch impendences or at the zeroes of shunt branch impendences" here ...
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Zeros and poles in the following bode plot

According to the definition, zeros are the frequencies which make transfer function to be zero, and poles are the frequencies which make transfer function to be infinity. The definition can be seen ...
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How can you change the precision of the pole zero ouput in HSpice?

I'm extracting the poles and zeroes of a circuit using HSpice, but I need it to be as accurate as possible. HSpice is only giving me 6 decimal places, and I'm wondering if it would be possible to ...
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Centroid from calculated root locus is different to the one from MATLAB

Hi all hope someone can help me here. My problem involves the transfer function G(s)=(s+32.8)/((s+2.8)(s+5)(s+27.8) ) As far as im concerned the centroid is ...
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What does a Bode plot represent and what is a pole and zero of a Bode plot?

I studied Bode plots and the author of my book is somehow relating zeros of transfer functions to Bode plots. What is the relation between zeros or poles of a Bode plot and transfer function? We ...
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Poles from Bode plot

How does one deduct the number of poles from a Bode plot? Is it further possible to decide where the poles are? I have not understood this concept even though there is so much focus on Bode plots in ...
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Find the Zero of a simple circuit

I would like to better understand how to find the zero of the transfer function of a circuit by inspection using fast analytical techniques. simulate this circuit – Schematic created using ...
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Switching frequency and controller's crossover frequency in DC-DC converters

In the context of control loop stability of DC-DC Converters, A switch mode power supply is essentially a sampled-data system, therefore the theoretical maximum bandwidth is one half the switching ...
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Bode Plots and Electrical Circuits - Zeroes and Poles

I would like to understand more electrically with little math (transfer function) involved regarding Poles and Zeroes in a control system (Feedback in DC-DC Buck Converter to be specific). I ...
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Stability - Driving a Capacitive Load

I know I have been asked not to provide video links and ask questions. But I have no proper guide/mentor or anyone who can provide me better answers other than users in this site. So, please pardon ...
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Effect of zeroes in stability

I thought earlier that zeros have no direct effect on stability but when I read the below article of Wikipedia where it said under the heading "Effect of poles and zeros " It says that adding zeros ...
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Sketch a Bode Plot for the Loop Gain of the circuit

Below I have the transfer function, but I am still uncertain about Bode plots. How do I know the slope, how do I know where the zeros of the function are?
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How can I prove that for any control system root locus plot starts from poles of OLTF and ends at zeroes of OLTF?

simulate this circuit – Schematic created using CircuitLab G(s)H(s)=N/D T(s)=KN/(D+KN) Proof: ] But For K=0 T=0 For K=infinity T=infinity then how can K=0 {condition where forward path ...
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Questions on Bode Plot and Nyquist Plot

Bode Plot 1) Why the gain plot |G(jw)| drops and then increases for conjugate zeroes ? 2) Why the gain plot |G(jw)| increases and then drops for conjugate poles ? Nyqust Plot 3) For Figure 9-18(B),...
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spike in the Full bridge SMPS

I have a full bridge SMPS and I am measuring the voltage across the output´s diodes on the secondary side. As you can see the voltage spike changes by changing the output current, for example at zero ...
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Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria ...
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Low Pass Filter Wrong Pole Location

I wanted to understand and derive an equation of simple low pass filter that shows the location of pole in frequency response graph (Bode plot). So, here is the derivation: $$V_{OUT}=\frac{V_{IN}*...
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Low 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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Root locus for an open loop transfer function?

The function, rlocus(), in MATLAB is used for closed loop system roots for variation in gain K. However, I am curious if there is a similar function for variation ...
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2 votes
2 answers
631 views

Meaning of the "pole" of a transfer function with time delay

I learned in basic control theory that we can determine the stability of an LTI system by the signs of the real part of the poles of its transfer function \$H(s)=\frac{N(s)}{D(s)}\$. For a rational ...
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Poles and Zeros of Two Pole Compensation

I am known with the basics of what poles and zeros of transfer function are and how to determine them, but I certainly don't know how to apply such poles and zeros to the gain curve, which describes ...
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No zeros, yet still affecting stability?

As far as im aware Poles affect the stability of a transfer function primarily, and is defined whether they stay within the unit circuit & are on the left side of the pole-zero plot. Zeros have no ...
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Experiment to identify of all the poles from the input output data irrespective of pole zero cancellation?

The pole zero cancellation reduces the order of the system. As a result we can't identify all the poles from the input output data. Given, input output data, can I devise an experiment such that I can ...
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2 answers
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The Pole Frequency of OP AMP 741

I am working on MatLab simulation software to plot a Bode plot in the Matlab Environment. The open loop transfer function is $$a(s) = \frac{a_0}{(1+s/\omega_1)(1+s/\omega_2)}$$ Where \$\omega_1\$ and ...
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1 answer
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RHP zero with a positive phase shift

All books and references I read say that RHP zero gives a negative phase shift. I can infer that by plot the phase of the function \$w_{z}-s\$ where \$w_{z}>0\$. With this function, when frequency ...
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How to find the frequency of more than one zeroes analytically?

Hello, I have to draw the Bode plot of \$G(s)=\frac{V_u}{V_{in}}\$ and I want to do it without calculating the full transfer function. This circuit has Cgd=1pF capacitors at every Mos. Vt=0.4V, k=2mA/...
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Polar plot of s/(1+(s*T))

The magnitude at w=0 comes out to be 0 (=1/infinity) , which is different from previous problems (they didn't have any zero) I've calculated, is this right? I guess it should be right (because G(s)...
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What is the difference between the forward transfer function and closed-loop transfer function?

We can define the forward transfer function as $$l(s)=g(s)r(s)$$ Thus, the closed-loop transfer function is $$h(s)=\frac{g(s)r(s)}{1+g(s)r(s)}$$ with \$g(s)r(s)\$ the multiplication between all the ...
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1 vote
2 answers
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Conjugate, non-conjugate and single poles in an RLC circuit system

In all the texts I encountered so far, I find the following pole-zero diagram example for an RLC series circuit: The transfer function for the above circuit can be found as: H(s) = XC/(R + XL + XC) =...
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A question on the response of an RC circuit and pole of its transfer function

Below is an excerpt from an introductory level book about poles and zeros: The transfer function of the RC circuit system above for the output voltage is: H(s) = s/(s+10) The book claims that this ...
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What exactly is Pole Frequency in a Filter and how does it affect the frequency response?

I'm having great trouble understanding the concept of a pole in a real world electric circuit. I do understand what a 'pole' is and what a 'zero' is, in the point of view of a 'Transfer Function' but ...
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What happens to an electrical system at its pole?

Pole is defined as the value at which value of a function becomes infinity. Let's say I have one LTI system with transfer function H(s)=1/s+1. How the system will behave when s=-1. From Bode plot ...
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2 answers
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Finding desired closed-loop poles from root locus

I am trying to design a P controller (proportional constant only) to satisfy certain overshoot and settling time requirements for my plant. My values for \$\zeta\$ and \$w_n\$ which would satisfy the ...
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Intuitive to get pole and zero points for lead compensator

The circuit below is a lead compensator. I can easily know exact the pole and zero of the network by deriving the transfer function. However, I am wondering if there is an intuitive method to get the ...
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4 votes
3 answers
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Finding Transfer Function, Poles, Zeros of an RC Circuit

I'm trying to brush up on some electronics theory and am working through this PDF. At the bottom of page F-6 there is a problem, F.1, that I am currently trying to solve. The circuit is as follows: ...
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How are poles of Bessel filter related to cutoff frequency?

For a 2nd order Bessel low pass, I have a pole-zero map which has a pole couple of the form: \$p_{1/2} = a \pm jb\$. Can I deduce the cutoff frequency from the pole location? Does it contain any ...
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How do you determine the approximate frequency where the magnitude starts decreasing -40dB/dec for complex pole?

I am stuck at drawing the approximate Bode plot for the complex pole transfer function as below. Please see the question and problem in the picture. How do you determine the approximate frequency ...
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1 vote
1 answer
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Bode diagram of a single complex pole and under-damped system

I would like to draw Bode plot for a complex pole as below. Let's assume that for now regardless that the single complex pole doesn't exist. This is the function: $$H = \frac{1}{s - (a + jb)}$$ where ...
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How is the impulse response related to pole/zero-plot?

I have trouble understanding how you can from a pole/zero-plot say something about the impulse response. For instance I have 2 poles in (-5 +/- 8 jw) and a zero in 0. How would I know, from just ...
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