Solution to dynamic economic dispatch with prohibited operating zones via MILP.

Area of Science:

• Electrical Engineering
• Operations Research
• Optimization

Background:

• The dynamic economic dispatch (DED) problem is a complex, non-linear optimization challenge.
• Existing methods struggle with constraints like prohibited operating zones (POZ), ramp rates, transmission losses, and spinning reserves.
• Efficiently solving the DED problem is crucial for power system operations.

Purpose of the Study:

• To propose a novel mixed integer linear programming (MILP) method for solving the DED problem.
• To address the complexities introduced by POZ, ramp rate constraints, transmission losses, and spinning reserves.
• To develop an efficient algorithm for obtaining competitive solutions in a short timeframe.

Main Methods:

• A novel MILP formulation (MILP-1) using perspective cut reformulation for DED without transmission losses.
• An MILP formulation (MILP-2) incorporating transmission losses by using first-order Taylor expansions.
• An MILP-iteration algorithm combining MILP-1 and MILP-2 to solve the comprehensive DED problem.

Main Results:

• The proposed MILP formulations (MILP-1 and MILP-2) effectively model the DED problem with various constraints.
• The MILP-iteration algorithm successfully solves the complicated DED problem.
• Simulation results demonstrate that the method achieves competitive solutions rapidly.

Conclusions:

• The developed MILP method provides an efficient and effective approach to solve the complex DED problem.
• The proposed formulations and algorithm are suitable for practical power system applications.
• This research contributes to the advancement of optimization techniques in power system economic dispatch.