Questions tagged [damping-factor]

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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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34 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 ...
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1answer
67 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 ...
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1answer
58 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 ...
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3answers
150 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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55 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 ...
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1answer
54 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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1answer
107 views

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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193 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?
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2answers
222 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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202 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 ...
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313 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 ...
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3answers
325 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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1answer
221 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 ...
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1answer
104 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 ...
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1answer
894 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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2answers
264 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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1answer
152 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 ...
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1answer
57 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 ...
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250 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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1answer
401 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(...
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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
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2answers
858 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 $$\zeta = \frac{R_s}{2} \sqrt{\frac{C}{L}}$$ $$Q = \frac{1}{2\zeta}$$ ...
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1answer
93 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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2answers
90 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 ...
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2answers
9k 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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4answers
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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3answers
17k 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 ...
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1answer
152 views

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

simulate this circuit – Schematic created using CircuitLab
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1answer
10k 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 ...
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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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2answers
396 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? ...
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2answers
14k views

Phase Margin and Damping Ratio Approximation

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 ...