Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 16, Problem 24P

A system consist softwopower plants that must deliver loads over a transmission network. The costs of generating power at plants 1 and 2 are given by

F 1 = 2 p 1 + 2 F 2 = 10 p 2

where p 1 and p 2 = power produced by each plant. The losses of power due to transmission L are given by

L 1 = 0.2 p 1 + 0.1 p 2 L 2 = 0.2 p 1 + 0.5 p 2

The total demand for power is 30 and p 1 must not exceed 42. Determine the power generation needed to meet demands while minimizing costusing an optimization routine such as those found in, for example, Excel, MATLAB, or Mathcad software.

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