College

We appreciate your visit to Two generators with the following specifications are working in parallel with the grid 1 Generator 1 Rated Power 180 MW No load frequency 52 Hz. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Two generators with the following specifications are working in parallel with the grid:

1. Generator 1:
- Rated Power: 180 MW
- No-load frequency: 52 Hz
- Speed Droop: 6%

2. Generator 2:
- Rated Power: 130 MW
- Speed Droop: 0%

Tasks:
1. If the generators have to feed a total of 200 MW, calculate the power output (P value) for each generator and the system frequency.
2. Determine the load range in which the frequency will remain fixed, and state what that fixed frequency will be.
3. If the generators have to feed a total of 60 MW, calculate the power output (P value) for each generator and the system frequency.

Answer :

With a 200 MW load, P1 operates at approximately 115.48 MW, while P2 functions around 84.52 MW. Consequently, the frequency settles at around 49.652 Hz. For a 60 MW load, P2 stands at 60 MW, resulting in a new frequency of roughly 49.5385 Hz. Remarkably, within the load range spanning 60 MW to 200 MW, the frequency remains consistent at approximately 49.652 Hz.

Scenario 1: 200 MW Load

Given data:

- P1N (Pin P2N) = 180 MW

- P2N (Si) = 130 MW

- S = 310 MW (180 MW + 130 MW)

- S2 = 0.006 (6% noload frequency deviation)

- Load = 200 MW

Proportional power calculation:

- P1 = (P1N / S) * Load = (180 MW / 310 MW) * 200 MW ≈ 115.48 MW

- P2 = (P2N / S) * Load = (130 MW / 310 MW) * 200 MW ≈ 84.52 MW

Frequency change calculation:

- Δf = (P1 + P2) / S2 = (115.48 MW + 84.52 MW) / 310 MW ≈ 0.348 Hz

New frequency:

- New frequency = Nominal frequency - Δf = 50 Hz - 0.348 Hz = 49.652 Hz

Scenario 2: 60 MW Load

Given data:

- P2N (Si) = 130 MW

- S = 130 MW

- S2 = 0.006 (6% noload frequency deviation)

- Load = 60 MW

Proportional power calculation:

- P2 = (P2N / S) * Load = (130 MW / 130 MW) * 60 MW = 60 MW

Frequency change calculation:

- Δf = P2 / S2 = 60 MW / 130 MW ≈ 0.4615 Hz

New frequency:

- New frequency = Nominal frequency - Δf = 50 Hz - 0.4615 Hz = 49.5385 Hz

For more such information on: frequency

https://brainly.com/question/254161

#SPJ11

Thanks for taking the time to read Two generators with the following specifications are working in parallel with the grid 1 Generator 1 Rated Power 180 MW No load frequency 52 Hz. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada