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
)
].
2. Given a biomass fuel cell powerplant which has power capacity of 600 kW, and assume it generates at 83% of full power for 40 hours per week, 50 weeks per year. If the installation of the powerplant costs $10 million, and yearly operating costs are $100k, but it saves $400k per year in waste disposal costs, how many years before the powerplant pays back the installation cost? Use the average industrial electricity rate found at https://www.electricitylocal.com/states/california/oxnard/ (
If for example communication power is often normalized by assuming R to be a unity in Ohms, although R may be another value in actual circuit. If the actual value of the power is required, it is worked out by de-normalization of the normalized value. Use the above to determine the instantaneous power, given time interval to be (-4,4) and x = 2 + t2.
Explore the concept of transactive energy systems and their role in promoting efficient energy trading in modern power grids.
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