Stochastic optimal energy dispatch
A method to incorporate the effects of uncertain parameters into optimal energy dispatch of electric power systems is presented. An efficient algorithm is presented, which is a direct extension of existing methods of analysis. The method employs an initial operating point by a second order optimization procedure. Effects of uncertainty on the optimum solution are modeled by a first order linearization. The statistics of the changes in the control vector are calculated and utilized in a Gram-Charlier series type A representation of the p.d.f. of the changes of the control vector. Various properties of the Gram-Charlier series type A are studied and a transformation is developed which improves the accuracy of the truncated Gram-Charlier series. Hence, the GCA series capabilities as a model for general p.d.f.'s is enhanced. Desired probabilities of events are calculated by direct application of the truncated GCA. An example demonstrates the suitability of this method for application to actual power systems.
- Research Organization:
- Purdue Electric Power Center, Lafayette, IN (USA); Purdue Univ., Lafayette, IN (USA). School of Electrical Engineering
- DOE Contract Number:
- AS02-77ET29102
- OSTI ID:
- 5190188
- Report Number(s):
- PCTR-93-80; TR-EE-80-17
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
24 POWER TRANSMISSION AND DISTRIBUTION
29 ENERGY PLANNING, POLICY, AND ECONOMY
296000* -- Energy Planning & Policy-- Electric Power
ALGORITHMS
DATA
ECONOMICS
INFORMATION
LOAD MANAGEMENT
MANAGEMENT
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
NUMERICAL DATA
OPTIMIZATION
POWER SYSTEMS
POWER TRANSMISSION
PROBABILITY
STATISTICAL MODELS
THEORETICAL DATA