Optimization and Decoupling of Large Dynamic Systems with Applications to Power Systems.
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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The report deals with some theoretical problems of decoupling and optimizatiion of large dynamic systems and the application of some of this theory to the optimization of transient response of a power system. The standard procedures of optimal control theory, although directly applicable in principle to large systems, present many computational complexities when implemented. Even with the use of modern day computers, problems of numerical accuracy, insufficient storage space and too much computation time occur very frequently when systems of high dimensionality are involved. A large system optimization problem can be solved by two possible approaches if none of the standard procedures is numerically adequate. Either new algorithms can be developed which respond to the system size or the system representation can be simplified and an approximate solution attempted. In the latter case the solution accuracy may have to be sacrificed if an appropriate reduction of the system is not found. Author
- Theoretical Mathematics