Dynamic Model of Smoothing Problem in Water Power Systems

TL;DR

This paper introduces a dynamic control model for optimizing water power systems, employing a novel method that circumvents the curse of dimensionality in dynamic programming.

Contribution

A new method is proposed for the optimal control of water power systems that overcomes the curse of dimensionality in dynamic programming.

Findings

Developed a mathematical model using recurrent equations.

Presented a new method avoiding the curse of dimensionality.

Applied the model to optimize power system performance.

Abstract

In this paper the problem of optimal performance of a power system is considered. The problem is posed in various aspects within the frames of the theory of optimal control of stores. Mathematical models are presented by means of the recurrent equations of a dynamic programming. In the general case a new method is presented which avoids the "curse of dimensionality."