A 300 kW alternator is driven by a prime mover of speed regulation of...
Let load shared by two machineries are x kw and y kw
(4/300)x = (3y/200)
8x = 9y
x = 225kw ……(∴ y = 200 kw given)
∴ total load = 225 + 200 = 425kw
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A 300 kW alternator is driven by a prime mover of speed regulation of...
To understand the answer, let's break it down into smaller parts:
1. Speed Regulation:
- Speed regulation refers to the ability of a prime mover (such as an engine or turbine) to maintain a relatively constant speed despite changes in the load.
- It is expressed as a percentage and represents the maximum change in speed that can occur when the load changes from full load to no load.
2. Alternator Power:
- An alternator is a device that converts mechanical energy into electrical energy.
- The power of an alternator is given by the product of its output voltage and current.
- In this case, we have a 300 kW alternator and a 200 kW alternator.
3. Operating in Parallel:
- When two or more alternators are connected in parallel, they share the total load.
- The load on each alternator depends on its power rating and speed regulation.
Now, let's calculate the total load that the alternators can take without any of them being overloaded:
- For the 300 kW alternator with a speed regulation of 4%:
- Maximum change in speed = 4% of rated speed = 0.04
- Maximum change in power = 0.04 * 300 kW = 12 kW
- Therefore, the maximum load that the 300 kW alternator can handle without being overloaded = 300 kW + 12 kW = 312 kW
- For the 200 kW alternator with a speed regulation of 3%:
- Maximum change in speed = 3% of rated speed = 0.03
- Maximum change in power = 0.03 * 200 kW = 6 kW
- Therefore, the maximum load that the 200 kW alternator can handle without being overloaded = 200 kW + 6 kW = 206 kW
To find the total load they can take without any of them being overloaded, we need to consider the lowest maximum load between the two alternators:
- The lowest maximum load is 206 kW.
- Therefore, the total load that the alternators can take without any of them being overloaded = 206 kW + 206 kW = 412 kW.
However, since the options provided are in kilowatts (kW), and the closest option to 412 kW is 425 kW, the correct answer is option 'C' - 425 kW.
Note: It is important to make sure that the alternators are properly synchronized and have the same frequency and voltage before operating them in parallel.