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Maksim231197 [3]
3 years ago
9

A common rule of thumb for controller discretization is to have "6 samples per rise time" in order to achieve a reasonable appro

ximation of the CT controller, without wasting computing resources. Derive the effect on PM that this choice will have. Also derive the relationship of this choice to the effective Nyquist rate for the closed-loop system.

Engineering
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

From the derivation in the attachment below it

Is clear that discrete time receives phase response

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Air with a mass flow rate of 2.3 kg/s enters a horizontal nozzle operating at steady state at 450 K, 350 kPa, and velocity of 3
viktelen [127]

Answer:

Given that

Mass flow rate ,m=2.3 kg/s

T₁=450 K

P₁=350 KPa

C₁=3 m/s

T₂=300 K

C₂=460 m/s

Cp=1.011 KJ/kg.k

For ideal gas

P V = m R T

P = ρ RT

\rho_1=\dfrac{P_1}{RT_1}

\rho_1=\dfrac{350}{0.287\times 450}

ρ₁=2.71 kg/m³

mass flow rate

m= ρ₁A₁C₁

2.3 = 2.71 x A₁ x 3

A₁=0.28 m²

Now from first law for open system

h_1+\dfrac{C_1^2}{200}+Q=h_2+\dfrac{C_2^2}{2000}

For ideal gas

Δh = CpΔT

by putting the values

1.011\times 450+\dfrac{3^2}{200}+Q=1.011\times 300+\dfrac{460^2}{2000}

Q=1.011\times 300+\dfrac{460^2}{2000}-\dfrac{3^2}{200}-1.011\times 450

Q= - 45.49 KJ/kg

Q =- m x 45.49 KW

Q= - 104.67 KW

Negative sign indicates that heat transfer from air to surrounding

4 0
3 years ago
Which two statements about professional technical jobs in the energy industry are correct?
Tanya [424]
The answer is both B and D
4 0
3 years ago
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A circuit has a source voltage of 15V and two resistors in series with a total resistance of 4000Ω .If RI has a potential drop o
anastassius [24]

Answer:

1500Ω

Explanation:

Given data

voltage = 15 V

total Resistance = 4000Ω

potential drop V = 9.375 V

To find out

R2

Solution

we know R1 +R2 = 4000Ω

So we use here Ohm's law to find out current I

current = voltage / total resistance

I = 15 / 4000 = 3.75 × 10^{-3} A

Now we apply Kirchhoffs Voltage Law for find out R2

R2 = ( 15 - V ) / current

R2 = ( 15 - 9.375 ) / 3.75 × 10^{-3}

R2 = 1500Ω

6 0
3 years ago
Which of the following lists the steps of a process in the correct order?
Vladimir79 [104]

Answer: C. Problem identification, solution design, implementation, evaluation.

Explanation:

4 0
3 years ago
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A city engineer knows that she will need $25 million in 3 years to replace toll booths on a toll road in the city. Traffic on th
Andreas93 [3]

Answer:

$1.38

Explanation:

She will spend $25 million in 3 years at 10% interest is a case of Future Value of Annuity.

Therefore,

FV = A*((1+r)^n-1)/r

Where A = 25,000,000

r=10%=0.1

n=3

FV= 25000000*((1+0.1)^3-1)/0.1

FV=25000000*(1.331-1)/0.1

FV=25000000*(0.331/0.1)

FV=25000000*3.31

FV=$82,750,000

So it is estimated that 20million cars passes through the toll per year

Therefore,

Toll per vehicle per year = 82750000/2000000

=$4.14

Toll for the duration of the project

=4.14/3 =$1.38

4 0
3 years ago
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