A new algorithm for real-time optimal dispatch of active and reactive power generation retaining nonlinearity
This paper presents a new method for optimal dispatch of real and reactive power generation which is based on cartesian coordinate formulation of economic dispatch problem and reclassification of state and control variables associated with generator buses. The voltage and power at these buses are classified as parametric and functional inequality constraints, and are handled by reduced gradient technique and penalty factor approach respectively. The advantage of this classification is the reduction in the size of the equality constraint model, leading to less storage requirement. The rectangular coordinate formulation results in an exact equality constraint model in which the coefficient matrix is real, sparse, diagonally dominant, smaller in size and need be computed and factorized once only in each gradient step. In addition, Lagragian multipliers are calculated using a new efficient procedure. A natural outcome of these features is the solution of the economic dispatch problem, faster than other methods available to date in the literature. Rapid and reliable convergence is an additional desirable characteristic of the method. Digital simulation results are presented on several IEEE test systems to illustrate the range of application of the method visa-vis the popular Dommel-Tinney (DT) procedure. It is found that the proposed method is more reliable, 3-4 times faster and requires 20-30 percent less storage compared to the DT algorithm, while being just as general. Thus, owing to its exactness, robust mathematical model and less computational requirements, the method developed in the paper is shown to be a practically feasible algorithm for on-line optimal power dispatch.
- Research Organization:
- Department of Electrical Engineering, The University of Calgary, Calgary, Alberta T2N 1N4
- OSTI ID:
- 5939619
- Journal Information:
- IEEE Trans. Power Appar. Syst.; (United States), Vol. 102:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
POWER GENERATION
ALGORITHMS
CARTESIAN COORDINATES
CLASSIFICATION
COMPUTERIZED SIMULATION
CONTROL
ECONOMICS
ELECTRIC POTENTIAL
FEASIBILITY STUDIES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
ON-LINE SYSTEMS
OPTIMIZATION
REAL TIME SYSTEMS
RELIABILITY
STORAGE
TESTING
COORDINATES
FUNCTIONS
MATHEMATICAL LOGIC
SIMULATION
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