Optimal Control of Generating Policies in a Power System Governed by a Second Order Hyperbolic Partial Differential Equation

1977 ◽  
Vol 15 (6) ◽  
pp. 1016-1033 ◽  
Author(s):  
N. U. Ahmed
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Optimal Control ◽  
Power System ◽  
Second Order ◽  
Hyperbolic Partial Differential Equation ◽  
Partial Differential

scholarly journals Computing optimal control With a hyperbolic partial differential equation

1998 ◽  
Vol 40 (2) ◽  
pp. 266-287 ◽  
Author(s):  
V. Rehbock ◽  
S. Wang ◽  
K.L. Teo
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Optimal Control ◽  
Automatic Differentiation ◽  
Gas Absorption ◽  
Hyperbolic Partial Differential Equations ◽  
Element Approximation ◽  
Hyperbolic Partial Differential Equation ◽  
Partial Differential ◽  
Rectangular Mesh

AbstractWe present a method for solving a class of optimal control problems involving hyperbolic partial differential equations. A numerical integration method for the solution of a general linear second-order hyperbolic partial differential equation representing the type of dynamics under consideration is given. The method, based on the piecewise bilinear finite element approximation on a rectangular mesh, is explicit. The optimal control problem is thus discretized and reduced to an ordinary optimization problem. Fast automatic differentiation is applied to calculate the exact gradient of the discretized problem so that existing optimization algorithms may be applied. Various types of constraints may be imposed on the problem. A practical application arising from the process of gas absorption is solved using the proposed method.

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