Problem 2. A paper mill has install three steam generators: 4160 V, 12.5 MVA, 60 Hz, 0.8 pf lagging, 2 pole, and Wye connected, with X, = 1.1012, R = 0.039. Two generators have a speed droop slope of 5 MW/Hz, whereas the third has a slope of 6 MW/Hz. (a.) If the no-load frequency is 61 Hz for all three, how much power will each machine supply at 60 Hz (b.) What is the max power the three generators can supply without exceeding the rated powers? What system frequency? How much power? (c.) What would have to be done to get all three generators to supply their real and reactive rated power at a system frequency of 60 Hz? (d.) What would be the internal generated voltage in this condition?

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13-12-2022
Engineering

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Problem 2. A paper mill has install three steam generators: 4160 V, 12.5 MVA, 60 Hz, 0.8 pf lagging, 2 pole, and Wye connected, with X, = 1.1012, R = 0.039. Two generators have a speed droop slope of 5 MW/Hz, whereas the third has a slope of 6 MW/Hz. (a.) If the no-load frequency is 61 Hz for all three, how much power will each machine supply at 60 Hz (b.) What is the max power the three generators can supply without exceeding the rated powers? What system frequency? How much power? (c.) What would have to be done to get all three generators to supply their real and reactive rated power at a system frequency of 60 Hz? (d.) What would be the internal generated voltage in this condition?

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BhavikaKukreja BhavikaKukreja · Answer 1 · 2022-12-23T07:43:56+01:00

A paper mill has install three steam generators:

(a.) At 60 Hz, the two generators with a speed droop slope of 5 MW/Hz will each supply 5 MW, and the third with a speed droop slope of 6 MW/Hz will supply 6 MW.

(b.) The maximum power the three generators can supply without exceeding the rated powers is 18 MW, and the system frequency is 60 Hz.

(c.) To get all three generators to supply their real and reactive rated power at a system frequency of 60 Hz, the speed droop slope of the third generator would have to be adjusted to 5 MW/Hz, the same as the other two generators.

(d.) The internal generated voltage in this condition would be 4,160 V, since this is the rated voltage of the generators.

What is generator?

A generator is an electrical device used to convert mechanical energy into electrical energy. It works on the principle of electromagnetic induction, a process that occurs when a conductor is moved in a magnetic field and produces an electrical current. Generators are commonly used to produce electricity for homes, businesses, and other applications. They are also used to provide emergency power in case of power outages or other emergency situations.

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