Flashcards
DCEE 24 - Midterms Review
Cards in this deck (56)
- 1The output time response of a system is the sum of two responses. What are these responses?Forced Response and Natural Response
- 2The use of ____and ____and their relationship to the time response of a system is such a technique than using Differential equations or Inverse Laplace transform.zeroes, poles
- 3These are the values of the Laplace transform variable, s, that cause the transfer function to become infinite.Poles
- 4These are any roots of the denominator of the transfer function that are common to roots of the numerator.Poles
- 5These are the values of the Laplace transform variable, s, that cause the transfer function to become zeroZeros
- 6These are any roots of the numerator of the transfer function that are common to roots of the denominator.Zeros
- 7A pole of the input function generates the form of the _________ .Forced response
- 8This is the system’s response on the process of changing from one stage to another.Transient Response
- 9It is a temporary phenomena that last within a short span of time.Transient Response
- 10It is what the system is forced to do by the input excitation.Forced Response
- 11Combination of the transient response and the steady-state response.Forced Response
- 12A permanent phenomena which is also called as the complete responseSteady-state Response
- 13Refers to the behavior of the system due to the initial charged stored in it, but with no sources of excitation.Natural Response
- 14A pole of the transfer function generates the form of the __________.Natural Response
- 15The farther to the left a pole is on the negative real axis, the faster the __________ will decay to zeroexponential transient response
- 16A pole on the real axis generates an _______ of the form e^αt, where -α is the pole location on the real axis.exponential response
- 17The zeros and poles generate the ________ for both the forced and natural responsesamplitudes
- 18Natural Response can be classified as ______Transient Response
- 19Factors that make the output different from the input1. INPUT changes instantaneously while output changes gradually
2. ACCURACY of the system as the steady state - 20Solving a differential equation or taking the inverse Laplace transform, enable us to evaluate this _______, but these techniques are ________ and __________.output response, laborious, time-consuming
- 21The concept of ________simplifies the evaluation of a system’s responsePole and Zero
- 22When does a system become stable?-all poles are negative or in left-hand plane
-for bounded input there exists a bounded output - 23When does a system become unstable?when at least one pole is positive and in right-hand plane only
- 24When does a system marginally stable?when poles are imaginary
- 25How does the graph of a Forced Response look like in RL or RC circuit?ascending and eventually closes to the steady-state response of the voltage or current.
- 26How does the graph of a Natural Response look like?descending from the steady-state response of the voltage or current.
- 27What is the meaning of LTI?Linearity and Time Invariance
- 28It is a class of systems that responds to and arbitrary inputLTI
- 29Two types of LinearityHomegeneity and Superposition
- 30This is when you scale the input by a factor, the output will be scaled by the same factor.Homogeneity
- 31This is when two inputs were added, then two outputs will be also added together.Superposition
- 32superposition is also known asAdditivity
- 33This is when two similar input translated in time will produce the same output also translated in timeTime Invariance
- 34It is the time it takes for the step response to rise to 63% of its final valueTime Constant
- 35The reciprocal of the time constant has the units (1/seconds), or frequency. Thus, we can call the parameter a the ________.exponential frequency
- 36The farther the pole from the imaginary axis, the _____ the transient response.faster
- 37s the time for the waveform to go from 0.1 to 0.9 of its final value.Rise Time
- 38the time for the response to reach, and stay within, 2% of its final valueSettling Time
- 39It has two finite poles and no zeroesGeneral System Response
- 40It has a pole at the origin that comes from the unit step input and two real poles that come from the system.Overdamped Response
- 41In this response, the input pole at the origin generates the constant forced response; each of the two system poles on the real axis generates an exponential natural response whose exponential frequency is equal to the pole location.Overdamped Response
- 42What is the natural response of the Overdamped Response?Two exponentials with time constants equal to the reciprocal of the pole locations.
Be^-at + Ce^-at = cn(t) - 43Poles of overdamped responses are ?Two real different poles
- 44Poles of underdamped responses are ?Two complex poles
- 45What is the natural response of underdamped responses?Damped sinusoid with an exponential envelope whose time constant is equal to the reciprocal of the pole’s real part.
cn(t) = Be^-at cos(wt)+Ce^at sin(wt) - 46This function has a pole at the origin that comes from the unit step input and two complex poles that come from the system.Underdamped Response
- 47The natural response matches the sinusoidal oscillationUnderdamped Response
- 48The value of the imaginary part is the actual frequency of the sinusoid. This sinusoidal frequency is given the namedamped frequency of oscillation
- 49In this response, the radian frequency of the sinusoid, the damped frequency of oscillation, is equal to the imaginary part of the poles.Underdamped Response
- 50This function has a pole at the origin that comes from the unit step input and two imaginary poles that come from the system.Undamped Response
- 51The input pole generates constant forced response and two imaginary axis generate a sinusoidal natural responseUndamped Response
- 52The poles for Undamped ResponsesTwo imaginary poles
- 53What is the natural response for Undamped Responses?Undamped sinusoid with radian frequency equal to the imaginary part
of the poles
cn(t) = Bcoswt - 54This function has a pole at the origin that comes from the unit step input and two multiplereal poles that come from the system.Critically Damped Response
- 55The input pole at the origin generates the constant forced response, and the two poles on the real axis generate a natural response consisting of an exponential multiplied by timeCritically Damped Response
- 56What is the natural response for Critically damped Responses?One term is an exponential whose time constant is equal to the reciprocal of the pole location. Another term is the product of time, t, and an exponential
with time constant equal to the reciprocal of the pole location.
Be^-at+Cte^-at
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- Engineering Flashcards on DCEE 24 - Midterms Review, created by Jahnelle Marianne Urbano on 09/11/2022.
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