Abstract: Methods and software for managing electric power networks in a distributed manner. A supply and demand balancing scheme is used across a network of agents to facilitate agreement on the optimal incremental price for energy provision in an electric power network subject to the constraint that the total generation in the electric power network matches the total network demand. A multi-step optimization approach is provided that incorporates inter-temporal constraints, allowing for optimal integration of flexible power loads and power storage entities and taking into account power generation ramp rate constraints at individual generation entities. The approach is extended to cope with line flow constraints imposed by the physical system topology and transmission line limits/capacities.

Abstract: An approach to modeling the nonlinear steady-state behavior of an electrical power grid in terms of equivalent circuits with currents and voltages as state variables is provided. Current and voltage conservation equations are formulated with circuit-theoretic algorithms that offer demonstrably superior robustness relative to traditional approaches. Generalized bus and line models are accommodated by the equivalent circuit-based approach, allowing for simulation of physical models not compatible with traditional methods. Unbalanced three-phase systems are handled without loss of generality. The provided methods allow for robust, efficient power flow simulation for contingency analysis, power system planning, power system design, power system control, component configurations and operating conditions, real-time scheduling, and optimization, among other applications.

Abstract: Methods and software for managing electric power networks in a distributed manner. A supply and demand balancing scheme is used across a network of agents to facilitate agreement on the optimal incremental price for energy provision in an electric power network subject to the constraint that the total generation in the electric power network matches the total network demand. A multi-step optimization approach is provided that incorporates inter-temporal constraints, allowing for optimal integration of flexible power loads and power storage entities and taking into account power generation ramp rate constraints at individual generation entities. The approach is extended to cope with line flow constraints imposed by the physical system topology and transmission line limits/capacities.