Systems and Methods for Dispatching Electric Power System Resources

An automated control system includes at least one memory storing instructions. The automated control system includes at least one processor being configured to execute the instructions to perform operations. The operations include automatically determining the following in a steady-state current injection model: current withdrawal phase angles, power factor constraints, demand bus voltage magnitude constraints, generator voltage magnitude constraints, network flow constraints, generator capacity constraints, thermal line flow constraints, minimum and maximum demand bus voltage phase angle differences, minimum and maximum generator voltage phase angle differences, nodal voltage phase angle vectors, voltage stability constraints, a reference voltage constraint, linear marginal cost curves, linear marginal revenue curves, and retail rates. The operations include automatically minimizing a profit objective function through employment of a Lagrangian function, KKT conditions, and a Newton-Raphson algorithm. The operations include automatically determining setpoints for a plurality of electric power system resources.