# Questions tagged [damping-factor]

The tag has no usage guidance.

45 questions
Filter by
Sorted by
Tagged with
104 views

### How to create a frequency-dependent device with low losses at 50/60 Hz and high losses at 100 kHz

I'm working on a device to dampen high-frequency transients. Here are the specifications: Rated current: 30 A RMS Losses at low frequency (50/60 Hz): <10 W (required steady-state condition) Losses ...
• 1,310
38 views

### How can I explain contradictory damping performance between linear and nonlinear systems?

I have a 3rd order nonlinear dynamical system, representing a power system. After linearizing the system, it turns out that by increasing the parameter L_g, damping is reduced and thus the overshoot ...
1 vote
253 views

### Negative damping ratio for second order transfer function

For this circuit: We get this transfer function (this is the solution of another student, but I did it by hand and I get the same thing): Where the first damping ratio is negative. I read on another ...
• 339
682 views

### Butterworth filter damping

A Butterworth filter has a damping ratio of 0.707 and is critically damped, but in general a damping ratio of 1 is critically damped, what is the theory behind this?
• 11
1 vote
231 views

### Optimum design of damping LC filter with parallel (R+C). There is a frequency in which value of R dosn't impact

Apologies for the not so clear title, but I don't know if there is a common phrase that describes the point of concern. I am taking an online course about input filter design interfacing the grid and ...
• 115
58 views

### How are break-away point and break-in points related to damping factor 'd' of a system?

I have to determine gain of P-Controller when damping factor = 1. So in the solutions it is mentioned that damping factor and break-away point are related. Please can anyone clarify how damping factor ...
1k views

### How to find natural frequency from graph/plot of MATLAB Simulink?

I have compared my transfer function with standard characteristic equation of a 2nd order system and I found out that my natural frequency is 3 radians and damping ratio (zeta) is 0.5 but how can I ...
• 1,223
441 views

### Confusions regarding Laplace transform

We know that Laplace transform has two parts, $\sigma$ and $j\omega$. $\sigma$ is the real part while $j\omega$ is the imaginary part. Is it okay to say that the term $\sigma$ is a ...
• 41
328 views

### Does a resonant peak produce a distorted wave form?

Context I am re-enforcing my understanding of the frequency response. From 1, I understand that, In an audio system, [the frequency response] may be used to minimize audible distortion by designing ...
• 147
316 views

### 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. ...
4k views

### Intuitive understanding of relation between phase margin and peak overshoot and/or damping factor [closed]

Second, percent overshoot is reduced by increasing the phase margin, and the speed of the response is increased by increasing the bandwidth. "Control Systems Engineering, Norman S. Nise" ...
335 views

### A forward converter or flyback converter without voltage spikes?

I was thinking of a way to avoid voltage spikes in a flyback converter and I decided to redirect voltage spikes back to the battery, hence dampening the voltage spikes. Will this method work ...
• 146
1 vote
2k views

### Damping Ratio Implications for an Increasing Resistance In an RLC Circuit

I have managed to derive the 2nd order ODE for a simple RLC circuit (this circuit is part of a booster dc-dc converter). I derived an expression for the damping ratio of the circuit and fact checked ...
• 39
38 views

### How decreasing the effective load impedance in the secondary of a transformer heavily dampens it?

I am reading the operation of the ratio detector for FM demodulation. It works on the principle of diode variable damping (please see the figure here). The capacitor C9 restricts the changes in the ...
• 133
1 vote
589 views

### How to find damping and the natural response in a system with a zero and complex pole pair

I want to know how to get damping and the natural response in a system with a zero and complex pole pair. I calculated the following transfer function: (from an active filter composed of 2 capacitors ...
408 views

### Confusion regarding finding closed loop transfer function and damping constant from open-loop transfer function

I have second order transfer function $$G(s) = \frac{1.247}{s^2+9.76s+23.8}$$ G(s) is in the forward path of a unity feedback system. How do I find the closed loop transfer function and damping ...
318 views

### Settling time of sixth order denominator transfer function

I have a system whose transfer function is as follows $$\frac{V_o(s)}{V_i(s)}=\frac {\text{numerator}(s)}{a_1 s^6 + a_2 s^5 + a_3 s^4 + a_4 s^3 + a_5 s^2 +a_6 s + a_7}.$$ I am interested in the ...
• 189
230 views

### How do we write damping factor for a general RLC circuit

I am not sure how do I calculate the damping factor of a general RLC circuit. I have searched many books and they all talk about only when RLC in parallel or series. What if I don't have a circuit in ...
1 vote
72 views

### Unique solution for the damping factor in second order system

Given an underdamped ($0 < \zeta < 1$) second order harmonic oscillator system with canonical form $$G(s) = \frac{\omega_n^2}{s^2 + 2 \zeta \omega_n + \omega_n^2}$$. we know that the ...
• 439
216 views

I want to use a 26GHz radar probe to measure water levels for some outdoors applications. These are pretty common devices, one manufacturer among many others is for example: https://en.supmea.com/...
• 373
1 vote
1k views

### How can I get the viscous coefficient of friction B for a DC motor?

How can I get the value of B for a DC motor when the data sheet has Viscous Damping (F1) like the following?
1 vote
546 views

### Closed Loop system with a second order dominated response on the verge of instability

I have the forward path transfer function of C(s)G(s) = K/s(s+3)(s+7) and want to find K so that it is second order dominated on the verge of instability. But i'm not sure how to find it when it is ...
• 21
528 views

### RLC circuit and equivalent load resistance of a transformer

I would like to know when there is no more energy into the RLC circuit with the transformer. (R in RLC circuit symbolized the resistance at the secondary). I tried to simplify this model by doing an ...
• 2,800
1k views

### Damping factor - match resistor value

I have the following problem. Consider the circuit below, where the bottom of the arrow is the +-pole of the voltage drop: What resistor value for $R_2$ gives a damping factor of $d=0.9$ for the ...
• 3,975
945 views

### How can you find Quality Factor of an arbitrary RLC Circuit?

I'm having a trouble with this circuit. Apparently I know how to deal with a simple RLC circuit but this one is tricky
• 125
388 views

### Solenoid and mechanical damping, options for ways to minimize

I have an iron rod supported by a coil spring that vibrates vertically within a solenoid coil. The solenoid has a 5 ohm dc resistance. There is no physical contact between the coil and rod. As I ...
• 359
416 views

### What is the theory behind LC circuit's damping ratio value with a little positive/nagtive feedback?

I need to measure damping ratio of LC circuit attached to microcontroller. I want to achieve it by measuring voltage of the highest/lowest point of consecutive oscillations by internal ADC. ADC ...
• 23
1 vote
2k views

### Parallel RLC Circuit: how to write differential equation?

Please consider the following circuit: At t>0 this circuit will be transformed to source-free parallel RLC-circuit, where capacitor voltage is Vc(0+) = 0 V and inductor current is Il(0+) = 4. Now is ...
• 313
333 views

### 500V generation, MOSFET Heating Problem [closed]

Referring to my previous post. I have successfully generated 500V. The problem I am facing an issue. MOSFET I am using for switching is FQB34N20LTM. The MOSFET is burning badly. The snap of drain ...
• 159
297 views

### How is Q for surface acoustic wave devices measured?

I do not have a good understanding of Q, the quality factor. I get the basic concept that it has to do with energy losses within a system, particularly oscillating systems like resonators. Higher Q ...
• 429
112 views

### Characteristics from transfer function

All! I am trying to figure out characteristics of a second order system The system is (for example) And its characteristics for an unit step input are I want to solve this equation by hand and ...
1 vote
414 views

### High voltage pulse discharge ring dampening (how to save a pulse capacitor)

So I have a high voltage pulse circuit. I have planned it to be around 90kv with the capacitor being 1.3uF. It is to be discharged through a spark gap. Before I test it, I of course want to save the ...
• 113
807 views

### if settling time is smaller for underdamped case then why we call it underdamped - parallel rlc circuits?

Does less settling time means that the response dies out quickly? If so the settling time for a just correct Resistance such that the circuit is slightly underdamped is least, then it's most damped(...
2k views

### Calculating the damping ratio, $\zeta$, and the undamped natural frequency, $\omega_0$

I'm confused on where I went wrong finding $\zeta$ (zeta) and $\omega_0$. I think its where I originally did nodal at Avx. Any help would be appreciated. -thanks
1k views

### How to experimentally measure damping in RLC circuits?

I know there are methods to theoretically determine the damping factor and quality factor in RLC circuits. Equations such as $$\zeta = \frac{R_s}{2} \sqrt{\frac{C}{L}}$$ $$Q = \frac{1}{2\zeta}$$ ...
1 vote
144 views

### Trying to understand the magic the author of this PDF did explaining the critically damped equation

I am reading this doc about the equations for the step function for the RLC circuit, critically damped solution. At page 16 we have these lines... But there is a magic between these lines... How ...
• 847
204 views

### Trying to understand the critically damped equations of a RLC circuit

I am trying to understand the equations of the critically damped equations of a RLC circuit here I see this part on page 16 The part I do not understand is this one: How can part of the equation be ...
• 847
1 vote
14k views

### How to find damping ratio of a 4th order system?

For example in this 4th order transfer function how the damping ratio would be calculated? in fact I` m encountered with this problem: If I didnt realize the concept of problem plz guide me: problem:...
• 11
3k views

### Damping factor - How to get to these circuits

Do RL and RC circuits have a damping factor? If so, what would be the expression. Because I know what RLC circuits have, but these others I do not know Thank you!
• 101
26k views

### over and critically damped systems settling time

I know that for second order systems the settling time(St) equation is: So my question is, should this same formula be used when the system is over or critically damped? Is it right to use it in that ...
• 63
183 views

### how can I calculate the cutoff frequency for this low pass filter?

simulate this circuit – Schematic created using CircuitLab
1 vote
14k views

### Mechanical Model of DC Motor - Damping Coefficient Problem

I'm trying to develop a mathematical model for a small brushed DC motor that I own. I've been collecting test data for motor parameter identification, and have everything but the damping coefficient ...
1k views

### Fastest way to find R value for RLC under/over/critically damped? [duplicate]

If I have a known square wave source, known capacitor value and known inductor value, what is the fastest way to figure out what the resistor value has to be to make the circuit overdamped, ...
• 315
478 views

### Are overdamped rise waveforms really "curvier"? Or is that just time scale?

Do the rising waveforms for overdamped circuits of different $\zeta >= 1$ actually have a different "curviness"? Or does it just look that way because they're all shown on the same time scale? ...
• 7,122
1 vote
I have read in many texts that the closed loop system damping factor can be approximated as: $\Phi_m= 100 * \zeta$ With $\Phi_m$ as the phase margin and $\zeta$ as the damping ratio. The ...