Problem 1: Thermal units with Non-Linear Convex fuel cost function (Lagrange Function) Assuming two thermal units where the input-output fuel cost rates of the units are as follow: 60MW < PI< 400 MW 50 MW < P:< 300 MW UI: Fi (S/h)= 50 + 4*(P1) + 0.08*(P1) U2: F:(S/h)= 100 + 3*(P:) + 0.02*(P:)² 1) Assume that these units are all ONLINE and are supplying one load with PLOAD= 300MW. Using the Lagrange function and Lagrange multiplier method, find the optimum operating point (P, P., 2). 2) Suppose now load becomes 350MW instead of 300MW. Based on the method of "base point and participation factors", find the new operating point (PNi, PN2 ). 3) Based on lambda iteration method, draw the flow chart to solve the economic dispatch of the two units UI, U2. Start by lambda =10 $/Mwh, find the solution of the first iteration then state the rule for the second iteration.

Problem 1: Thermal units with Non-Linear Convex fuel cost function (Lagrange Function) Assuming two thermal units where the input-output fuel cost rates of the units are as follow: 60MW < PI< 400 MW 50 MW < P:< 300 MW UI: Fi (S/h)= 50 + 4(P1) + 0.08(P1) U2: F:(S/h)= 100 + 3(P:) + 0.02(P:)² 1) Assume that these units are all ONLINE and are supplying one load with PLOAD= 300MW. Using the Lagrange function and Lagrange multiplier method, find the optimum operating point (P, P., 2). 2) Suppose now load becomes 350MW instead of 300MW. Based on the method of "base point and participation factors", find the new operating point (PNi, PN2 ). 3) Based on lambda iteration method, draw the flow chart to solve the economic dispatch of the two units UI, U2. Start by lambda =10 $/Mwh, find the solution of the first iteration then state the rule for the second iteration.

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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