The optimum control in a long line of power transmissions
Abstract
The control theory applicable to a long power transmission line was examined, using an integral quadratic criterion for optimization. The equations describing the system were presented, assuming that the transmission line includes both concentrated and distributed parameters, and including models for the generator, transformers, and the long line itself. The optimization was performed using, as control quantity, the excitation voltage of the generator. The wave processes taking place in the line were described by partial differential equations with appropriate initial and boundary conditions; it was assumed that, at both ends of the line, there are receivers with ohmic and inductive resistances. It was shown that solution of the optimization problem is reducible to solution of the Riccati equation.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- December 1975
- Bibcode:
- 1975STIN...7627500L
- Keywords:
-
- Electric Power Transmission;
- Electrical Engineering;
- Optimal Control;
- Optimization;
- Transmission Lines;
- Boundary Conditions;
- Boundary Value Problems;
- Electric Generators;
- Mathematical Models;
- Partial Differential Equations;
- Riccati Equation;
- Electronics and Electrical Engineering