For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed). (c) the reactive power (state whether delivered or absorbed). (d) the power factor (state whether lagging or leading). [ Note: By convention the power factor cos ( δ − β ) is positive. If | δ − β | is greater than 9 0 ° , then the reference direction for current may be reversed, resulting in a positive value of cos ( δ − β ) ].
For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed). (c) the reactive power (state whether delivered or absorbed). (d) the power factor (state whether lagging or leading). [ Note: By convention the power factor cos ( δ − β ) is positive. If | δ − β | is greater than 9 0 ° , then the reference direction for current may be reversed, resulting in a positive value of cos ( δ − β ) ].
Solution Summary: The instantaneous power absorbed is 20000sqrt2mathrm
For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed). (c) the reactive power (state whether delivered or absorbed). (d) the power factor (state whether lagging or leading).
[Note: By convention the power factor
cos
(
δ
−
β
)
is positive. If
|
δ
−
β
|
is greater than
9
0
°
, then the reference direction for current may be reversed, resulting in a positive value of
cos
(
δ
−
β
)
].
Problem a. (i) Sketch the ideal power curve of the turbine with the following characteristics:
• rated speed is 14 m/s
⚫rated power is 1.25 MW
⚫ cut-in speed is 5 m/s
⚫furling or cut-out speed is 20 m/s
(ii) Given part (i), calculate the energy produced in one day if the wind blows
continuously between 15 and 20 m/s all day
(iii) Can the energy produced in one year be determined if you are told that the
average wind speed is 14 m/s? Explain why.
Problem b. Suppose an anemometer mounted at a height of 10 m with a 20-m/s average wind
speed
(i) Estimate the average wind power at a height of 10 m, assuming Rayleigh
statistics and under the following weather conditions
• 15°C
(ii) Suppose a 1300-kW wind turbine with 60-m rotor diameter is located in those
winds with speed computed in the first condition of part (i). Determine the annual
energy production with a 30% wind turbine efficiency
(iii) Evaluate the wind turbine capacity factor
Q3/Using Kirchhoff's laws to determine: (6degrees)
a) The current (Irsa)
b) The voltage across the Ri (V750)
c) Calculate the power by each voltage source.
d) Calculate the power of each resistor of the network.
V3
12V
V2
R1
3V
R2
1250
Chapter 2 Solutions
MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th
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