A Linearized Optimal Power Flow Framework for Locational Marginal Pricing and Risk Management in Wind-Integrated Power Systems with Disaggregated Flexible and Contingency Reserve Modeling

The increasing penetration of wind power has made Optimal Power Flow (OPF) studies more dependent on uncertainty modeling, reserve allocation, and accurate market-price calculation. This paper develops a linearized OPF framework for evaluating Locational Marginal Prices (LMPs) and reserve requirements in wind-integrated power systems. The model distinguishes between flexible ramping reserves and contingency reserves and includes constraints that prevent thermal units from assigning the same unused capacity to both products. To improve the accuracy of the conventional Direct Current Optimal Power Flow (DC-OPF) while preserving a linear structure, transmission losses are represented through a loss-approximated formulation. The proposed model is tested on the IEEE ۱۱۸-bus system using GAMS and MATPOWER. The results show that reserve separation affects both dispatch decisions and nodal LMPs, especially under wind-power deviations. A sensitivity study also shows that changing the objective from generation-cost minimization to active-power-loss minimization reduces network losses from ۶۹.۳ MW to ۱۸.۴ MW, at the expense of a higher generation cost.

کلیدواژه ها:

Linearized Optimal Power Flow ، Locational Marginal Pricing (LMP) ، Wind Power Integration ، Flexible Reserve ، Contingency Reserve ، IEEE ۱۱۸-bus system