By Topic

An Application of the Maximum Principle to the Most Economical Operation of Power Systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Hano, I. ; Department of Electrical Engineering, The Graduate School of Science and Engineering, Waseda University ; Tamura, Y. ; Narita, S.

This paper describes a new computational approach to the problem of the most economical operation of hydraulic plants in electric power systems, employing L. S. Pontryagin's maximum principle. The economical operation of a simplified model system is treated and the long range operation of a multireservoir system is considered. The relaxation method is successfully applied to the solution of optimal water usage policy in a model system of two reservoir-type and three regulating pondage-type hydraulic plants, with one equivalent thermal plant. Comparison is made between the maximum principle approach and dynamic programming. It becomes evident that the maximum principle is a powerful tool not only for the treatment of engineering problems, such as time-minimal control of servomechanisms, but also as a new technique of mathematical programming for the treatment of problems in mathematical economics.

Published in:

Power Apparatus and Systems, IEEE Transactions on  (Volume:PAS-85 ,  Issue: 5 )