# Questions tagged [damping-factor]

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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. ...
506 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" ...
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### 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 ...
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1 vote
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### 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 ...
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### 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 ...
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1 vote
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### 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 ...
89 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 ...
171 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 ...
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### 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
57 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 ...
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### Finding a material transparent to 26GHz radio waves for radome protecting a radar rangefinder probe

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/...
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### 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
290 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 ...
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### 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 ...
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### 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 ...
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417 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
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### 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 ...
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### 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 ...
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1 vote
1k 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 ...
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276 views

### 500V generation, MOSFET Heating Problem

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 ...
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### 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 ...
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### 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
273 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 ...
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### 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(...
1k 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
964 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
100 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 ...
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### 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 ...
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1 vote
10k 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:...
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2k 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!
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### 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 ...
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### how can I calculate the cutoff frequency for this low pass filter?

simulate this circuit – Schematic created using CircuitLab
1 vote
11k 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, ...
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### 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? ...
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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 ...