Impacts of Synchronous Generator Capability Curve on Systems Locational Marginal Price through a Convex Optimal Power Flow

This paper deals about an application of optimal power flows (OPF) constrained with synchronous generator capability curve for power market analysis (SGCC). OPF main features gather in its mathematical formulation non-convexity, non-linearity, and it shows to be a hard to solve optimization problem. In some operational scenarios, SGCC can limit power flows bringing the theoretical OPF situation to not be applied for real context on power plants. Thus, for electric market analysis solutions without those constraints could provide results that are not exact for systems Locational Marginal Prices (LMPs), messing with the power cost estimation .For this work SGCC includes limits of current and power, preserving the generator against overheating and immoderate mechanical stress. Properties of convexification brings to mathematical problems in general a good performance if compared to original problem and a simpler way of its formulation and solution. Thereby, OPF formulation is given as a second order cone programming (SOCP) approach handled by techniques of convex relaxation, with active power generators cost objective function. Numerical results are obtained in MATLAB environment and applied in IEEE 14-bus test system. OPF results shows the good performance of the proposed methodology, whereas solutions will not violate SGCC limits constraints.