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Problem 2: The fuel cost of two generators in a lossless system are given by GI<400 MW 9PGI+0.03 Pa, 6 Pc2+0.05 P2 fi 100

Problem 2: The fuel cost of two generators in a lossless system are given by GI<400 MW 9PGI+0.03 Pa, 6 Pc2+0.05 P2 fi 100

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem 2:** The fuel cost of two generators in a lossless system are given by: \[ f_1 = 9 \, P_{G1} + 0.03 \, P_{G1}^2 \quad \text{for} \quad 100 \leq P_{G1} \leq 400 \, \text{MW} \] \[ f_2 = 6 \, P_{G2} + 0.05 \, P_{G2}^2 \quad \text{for} \quad 100 \leq P_{G2} \leq 400 \, \text{MW} \] Calculate the following for total load demand values \(( P_D = 200 \, \text{MW and} \, P_D = 600 \, \text{MW} )\): a) Optimal dispatch values of \( P_{G1} \) and \( P_{G2} \) b) The incremental operating cost c) The total operating cost
Transcribed Image Text:**Problem 2:** The fuel cost of two generators in a lossless system are given by: \[ f_1 = 9 \, P_{G1} + 0.03 \, P_{G1}^2 \quad \text{for} \quad 100 \leq P_{G1} \leq 400 \, \text{MW} \] \[ f_2 = 6 \, P_{G2} + 0.05 \, P_{G2}^2 \quad \text{for} \quad 100 \leq P_{G2} \leq 400 \, \text{MW} \] Calculate the following for total load demand values \(( P_D = 200 \, \text{MW and} \, P_D = 600 \, \text{MW} )\): a) Optimal dispatch values of \( P_{G1} \) and \( P_{G2} \) b) The incremental operating cost c) The total operating cost
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