3. A dynamic system with the following feedback architecture will be controlled byselecting appropriate positive values for amplifier gain Ka and sensor gain KCis)K.2+1KHint: The block diagram of inner loop is reduced asR(sC(s)Ka2s2+(KaKn+1)sa) What will be the steady state error of the closed loop system to unit impulse input?b)Determine natural frequency, damping ratio, the gains Ka and Ka that will make theclosed loop system have the following unit step response.Step Response1.4Time (seconds) 181Amplitude. 1.161.2Time (seconds) 121Ampitude: 1Time (seconds): 4.0.8Ampitude 0.980.6040.24.6.Time (seconds)Amplitude

The forward path gain and feedback gain of a negative feedback closed system are Gs=Ka2s2+KaKh+1s,…

3. A dynamic system with the following feedback architecture will be controlled by selecting appropriate positive values for amplifier gain K. and sensor gain K. R Es) Cin K 2+1 K Hint: The block diagram of inner loop is reduced as R(s C(s) Ка 2s2+(KaKn+1)s a) What will be the steady state error of the closed loop system to unit impulse input? h)Determine natural frequency, damping ratio, the gains Ka and Kx that will make the closed loop system have the following unit step response. Step Response 1.4 Time (seconds) 181 Amplitude. 1.16 1.2 Time (seconds): 121 Ampitude: 1 Time (seconds): 4. 0.8 Armpitude 0.98 0.6 0.4 0.2 1. 3 4. 6. Time (seconds) Amplitude

3. A dynamic system with the following feedback architecture will be controlled by selecting appropriate positive values for amplifier gain K. and sensor gain K. R Es) Cin K 2+1 K Hint: The block diagram of inner loop is reduced as R(s C(s) Ка 2s2+(KaKn+1)s a) What will be the steady state error of the closed loop system to unit impulse input? h)Determine natural frequency, damping ratio, the gains Ka and Kx that will make the closed loop system have the following unit step response. Step Response 1.4 Time (seconds) 181 Amplitude. 1.16 1.2 Time (seconds): 121 Ampitude: 1 Time (seconds): 4. 0.8 Armpitude 0.98 0.6 0.4 0.2 1. 3 4. 6. Time (seconds) Amplitude

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

See similar textbooks

Similar questions

BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a?
A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
Find the closed-loop transconductance, input resistance, and output resistance for the series-series feedback ampliﬁer as shown if the op amp has an open-loop gain of 80 dB, an input resistance of 25kΩ , and an output resistance of 1kΩ. Assume the ampliﬁer is driven by a signal voltage with a 10-kΩ source resistance, and the feedback network is implemented with R2=91kΩ and R1=10kΩ.
A For a monolithic negative feedback system defined by the open path function, find the gain range (to operate the system at steady state
The circuit as shown is a shunt-shunt feedback amplifier. Use feedback analysis to find the midband input resistance, output resistance, and transresistance of the amplifier if RI = 500 Ω, RE = 2 kΩ, β0 = 100, VA = 50 V, RL = 5.6 kΩ, and RF = 47 kΩ, when vi and RI are replaced by a Norton equivalent circuit. What is the voltage gain for the circuit as drawn?
Consider the unity feedback system with the following root locus for K>0. Find the approximate value of K which leads to the maximum possible overshoot of the closed loop system. Also, find all ranges of K for which the system is overdamped and as well as the steady state error to a unit step input.
The classic feedback ampliﬁer as shown has β =0.125. What are the loop gain T, ideal closedloop gain AIdeal v , actual closed-loop gain Av, and the fractional gain error FGE if (a) A =∞? (b) A =84 dB? (c) A =20?
To overcome the false output transitions of simple comparators, Schmitt trigger circuits utilising positive feedback are utilised. For such as circuit, shown in Fig.Q.A2c, derive what would be the values of the upper threshold point (UTP or Vt + ), lower threshold point (LTP or Vt - ) as a function of the voltage divider circuit and the saturation values (+Vsat, -Vsat) associated with the op-amp. Please provide a clear rationale for the steps in derivation of the relationship. A Schmitt trigger circuit is required to have saturation values ±12 V, and a switching thresholds of ±3 V. For the Schmitt trigger circuit shown in Figure Q.A2c, determine the values of Rx and Ry such that the above-mentioned conditions are fulfilled. Also, sketch the input-output characteristic of such an inverting Schmitt-trigger. Clearly label axes, the threshold voltages and the saturation voltages in your sketch.
The open loop transfer function of unity feedback system is ??(??) = ??????????(??+??)(??+????).1- Assess the stability of the system.2- If the gain ?? is connected in series with G(s) as shown in figure Q1, Determine the range of ?? for stable system.
Given in the figure is a two-stage amplifier design that employs negative feedback. Answer the following questions. Use the notation (R1 + R2 + ... + Rn) for series resistors and (R1 || R2 || ... || Rn) for parallel resistors for clarity and ease. Assume that the transistors are already biased properly in the saturation region and ro1 = ro2 → ∞. Also assume that the capacitors have infinite capacitance. 1.) Find the expression for the open loop gain Av 2.) Derive the resistance Rin which is the resistance that can be seen at the input port of the amplifier
Assume for a moment that perfectly accurate resistors were available for feedback networks; that is resistor tolerance is 0%. Then any deviation from the value set by the feedback resistor ratio is caused by insufficient raw op-amp gain. What minimum raw gain would be needed to get within 1% if an intended overall gain of 10? What if the intended gain is 100 instead?