Flexible Constraint Optimization for Electric Power Systems

The patent transforms rigid constraints into dynamic flexible constraints by introducing flexibility indices (δf, δLk, δGi, δVk, δFl) that allow constraint boundaries to adapt dynamically. The optimization model adjusts constraint tightness based on system state and operational requirements, enabling the system to maintain reliability while adapting to varying conditions through programmable, adjustable constraint parameters.

The patent changes the parameter representation of constraints from fixed values to flexible ranges defined by flexibility indices. By parameterizing constraints with adjustable flexibility factors (e.g., PGi ≤ PGimax(1+δGi)), the system can modify constraint characteristics without structural changes, resolving the contradiction between reliable operation and adaptive response to different scenarios.

The patent segments the comprehensive optimization problem into distinct flexible constraint modules (power generation cost flexibility, load flexibility, generator output flexibility, voltage flexibility, load flow flexibility). Each module handles a specific aspect with its own flexibility index, making the complex multi-objective optimization manageable through structured decomposition while maintaining comprehensive optimization capability.

The patent creates a universal flexible optimization framework that simultaneously addresses economic efficiency, safety, and reliability through a single multi-dimensional model. The unified formulation with flexibility indices serves multiple optimization objectives at once, reducing overall system complexity compared to separate specialized models while achieving comprehensive optimization.