A decomposition approach to optimal reactive power dispatch in large-scale power systems

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1989

OSTI ID:6908071

Deeb, N I

Power systems network operation is aimed at reducing system losses and minimizing the operational cost while satisfying performance requirements in normal and contingency situations. In this project, the procedure for the reactive power optimization has the solutions for investment and operation subproblems. The global solution is an iterative process between these two subproblems using the Bender decomposition method. In the investment subproblem decisions for the capacity and location of new reactive sources are made. These decisions are used in the optimization of the system operation. The outstanding features of the proposed method are that it does not require any matrix inversion, will save computation time and memory space, and can be implemented on very large scale power systems. The method employs a linearized objective function and constraints, and is based on adjusting control variables which are tap positions of transformers and reactive power injections. Linear programming is used to calculate voltage increments, which would minimize transmission losses, and adjustments of control variables would be obtained by a modified Jacobian matrix. This approach would greatly simplify the application of Dantzig-Wolfe decomposition method for solving the operation subproblem. According to the mathematical features of the Dantzig-Wolfe method, a multi-area approach is implemented and system equations are decomposed into a master problem and several subproblems. The master problem is formed by constraints, which represent linking transmission lines between areas. Two updated techniques are incorporated in the method to enhance the optimization process, which would save additional computation time and memory space. The proposed method is applied to the IEEE-30 bus system, a 60-bus system, a 180-bus system and a 1200-bus system, and numerical results are presented.

• Research Organization: Illinois Inst. of Tech., Chicago, IL (USA)
• OSTI ID: 6908071
• Country of Publication: United States
• Language: English

Related Subjects

29 ENERGY PLANNING, POLICY, AND ECONOMY
296000* -- Energy Planning & Policy-- Electric Power
CHEMICAL REACTIONS
COST
DECOMPOSITION
ELECTRIC POWER
ELECTRIC POWER INDUSTRY
FUNCTIONS
INDUSTRY
INVESTMENT
JACOBIAN FUNCTION
LINEAR PROGRAMMING
LOAD MANAGEMENT
MANAGEMENT
MATHEMATICS
NUMERICAL ANALYSIS
OPERATING COST
OPTIMIZATION
OUTAGES
POWER
POWER GENERATION
POWER TRANSMISSION
PROGRAMMING
RELIABILITY
SIMULATION