Bissoy.com
Doctors Medicines MCQs Q&A

A power system has three synchronous generators. The turbine-governor characteristics corresponding to the generators are P1 = 50(50 - f), P2 = 100(51 - f), P3 = 150(52 - f) Where, f denotes the system frequency in Hz, and P1, P2, P3 are the power outputs of the turbines in MW. Assuming generators and transmission network to be lossless, the system frequency for a load of 700 MW is

A power system has three synchronous generators. The turbine-governor characteristics corresponding to the generators are P1 = 50(50 - f), P2 = 100(51 - f), P3 = 150(52 - f) Where, f denotes the system frequency in Hz, and P1, P2, P3 are the power outputs of the turbines in MW. Assuming generators and transmission network to be lossless, the system frequency for a load of 700 MW is Correct Answer 49 Hz

Given

The turbine-governor characteristics of three synchronous generators are

P1 = 50(50 - f), P2 = 100(51 - f), P3 = 150(52 - f)

Total load supplied by three synchronous generators is 700 MW

or,

P1 + P2 + P3 = 700

Putting the value of P1, P2, P3 in the above equation,

50(50 - f) + 100(51 - f) + 150(52 - f) = 700

⇒ 2500 - 50f + 5100 - 100f + 7800 - 150f = 700

⇒ 300f = 14700

⇒ f = 49 Hz

Related Questions

A power system has two synchronous generators having governor turbine characteristics as P1 = 50 (50 - f) P2 = 100 (51 - f) where f represents the system frequency. Assuming a lossless operation of the complete power system, what is the system frequency for a total load of 800 MW?
A power system has two synchronous generators whose governor turbine characteristics are given by P1 = 50(50 - f) MW and P2 = 100(52 - f) MW, where f is the system frequency. When the total load supplied is 1000 MW, what is the system frequency if the operation is lossless.
A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q, P: For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA Which of the following options is correct?
In the given Venn diagram, different animals are represented by different areas. 'A' denotes 'dogs', 'B' denotes 'cats', 'C' denotes 'fish', 'D' denotes 'mongooses, 'E' denotes 'rats', and 'F' denotes 'rabbits'. Which area represents the group of only dogs, fishes,  and mongooses?
If ‘<’ denotes ‘-’, ‘+’ denotes ‘+’, ‘-’ denotes ‘=’ ‘=’ denotes ‘<’ and ‘x’ denotes ‘>’, then , '>' denotes '>' which of the following statement is true?
The figure shows: 1. Rectangle denotes male 2. Circle denotes urban 3. Square denotes educated 4. Tringle denotes civil servant The number which denotes Uneducated Urban Male:
Which of the following statements are correct for synchronous motors? 1. Synchronous motors are well-suited for direct connection top reciprocating compressors. 2. Over-excited synchronous motors are most commonly used for power factor improvement. 3. Synchronous motors are generally used for current regulation of long transmission lines Select the correct answer using the code given below.
In case of synchronous motor, which of the following are true? a. Synchronous motor is not self-starting b. If the rotor poles are excited by field current and the stator terminals are connected to AC supply, motor vibrates. c. Variable frequency supply is used to start synchronous motor. d. By using frequency converter, a synchronous motor can be brought from standstill to its desired speed.
Consider the following statements regarding synchronous machines: 1. When a synchronous motor is over-excited, its back emf is greater than the supply voltage 2. When a synchronous motor is over-excited, its power factor is leading 3. Synchronous motor is used as capacitor where load is so large that construction of a static capacitor is impractical Which of these statements are correct?
You are the administrator of a Windows 2000 Server computer. The server contains one network adapter and is a file and print server for critical company resources. You install a second network adpater in the server and connect it to the same network subnet as the first adapter. You want to ensure that the first adapter is used for all network traffic and the second adapter is used only if the first adapter fails or is disconnected from the network. You also want to ensure that the server always has network connectivity even if one network adapter fails. What should you do?