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Short-term generation scheduling with transmission and environmental constraints using an augmented lagrangian relaxation (1995)
| Content Provider | CiteSeerX |
|---|---|
| Author | Wang, S. J. Shahidehpour, S. M. Kirschen, D. S. Mokhtari, S. Irisarri, G. D. |
| Abstract | This paper proposes a new approach based on augmented Lagrangian relaxation for short term generation scheduling problem with transmission and environmental constraints. In this method, the system constraints, e.g. load demand, spinning re-serve, transmission capacity and environmental constraints, are relaxed by using Lagrangian multipliers, and quadratic penalty terms associated with system load demand balance are added to the Lagrangian objective function. Then the decomposition and coordination technique is used, and non-separable quadratic penalty terms are replaced by linearization around the solution obtained from the previous iteration. In order to improve the convergence property, the exactly convex quadratic terms of decision variables are added to the objective function as strongly convex, differentiable and separable auxiliary functions. The overall problem is decomposed into N subproblems, multipliers and penalty coefficients are updated in the dual problem and sys-tem constraints are satisfied iteratively. The corresponding unit commitment subproblems are solved by dynamic programming, and the economic dispatch with transmission and environmental constraints is solved by an efficient network flow programming algorithm. The augmented Lagrangian relaxation method enhanced by decomposition and coordination technique avoids oscillations associated with piece-wise linear cost functions. Numerical results indicate that the proposed approach is fast and efficient in dealing with numerous system constraints. |
| File Format | |
| Volume Number | 10 |
| Journal | IEEE TRANSACTIONS ON POWER SYSTEMS |
| Language | English |
| Publisher Date | 1995-01-01 |
| Access Restriction | Open |
| Subject Keyword | Environmental Constraint Augmented Lagrangian Relaxation Short-term Generation Corresponding Unit Commitment Subproblems Short Term Generation New Approach Piece-wise Linear Cost Function Nu-merical Result De-cision Variable Penalty Coefficient Objective Function Economic Dispatch Quadratic Penalty Term Sys-tem Constraint Environmen-tal Constraint Parable Quadratic Penalty Term Previous Iteration System Constraint Convergence Property Coordination Technique Avoids Oscillation Dual Problem Quadratic Term Augmented Lagrangian Relaxation Method Lagrangian Objective Function Transmission Capacity Lagrangian Multiplier Efficient Network Flow Program-ming Algorithm System Load Demand Balance Load Demand Dynamic Programming Coordination Technique Separable Auxiliary Function Overall Problem Numerous System Constraint |
| Content Type | Text |
| Resource Type | Article |
