Abstract: A method for delivering an energy resource on a network includes receiving constraints, a first objective function, and a second objective function. The constraints represent electrical load capacities of elements of the network. The constraints and the first objective function are used to identify (i) a load matrix embodying a set of optimal electrical loads for each of the plurality of elements of the power grid and (ii) a corresponding first feature matrix. The load matrix and the first feature matrix optimize the first objective function and satisfy the constraints. If the load matrix and first feature matrix indicate a non-binding fully loaded (NBFL) constraint, the second objective function is used to identify a second feature matrix which optimizes both the first and second objective functions while satisfying the constraints. The second feature matrix assigns a non-zero value to at least one previously identified NBFL constraint.

Abstract: A method for delivering an energy resource on a network includes receiving constraints, a first objective function, and a second objective function. The constraints represent electrical load capacities of elements of the network. The constraints and the first objective function are used to identify (i) a load matrix embodying a set of optimal electrical loads for each of the plurality of elements of the power grid and (ii) a corresponding first feature matrix. The load matrix and the first feature matrix optimize the first objective function and satisfy the constraints. If the load matrix and first feature matrix indicate a non-binding fully loaded (NBFL) constraint, the second objective function is used to identify a second feature matrix which optimizes both the first and second objective functions while satisfying the constraints. The second feature matrix assigns a non-zero value to at least one previously identified NBFL constraint.