Abstract: A system and method for determining currents for injection into or extraction from a power network are provided. In a method conducted at a point of common coupling to the network, Thévenin parameter data structures for each of a Thévenin voltage, resistance and inductance, are compiled. An offset data structure including offset values is compiled for application to corresponding values of the Thévenin voltage data structure to output an offset Thévenin voltage data structure. Offset values are calculated to satisfy physical constraints associated with the network. An optimal point of common coupling power data structure and the offset Thévenin voltage data structure are used to calculate current components for determining current for injection into or extraction from corresponding lines at the point of common coupling to reduce total electrical transmission losses of the network. The method may use the frequency domain and may include using frequency-dependent Thévenin parameters.

Abstract: A system and method for determining currents for injection into or extraction from a power network are provided. In a method conducted at a point of common coupling to the network, Thévenin parameter data structures for each of a Thévenin voltage, resistance and inductance, are compiled. An offset data structure including offset values is compiled for application to corresponding values of the Thévenin voltage data structure to output an offset Thévenin voltage data structure. Offset values are calculated to satisfy physical constraints associated with the network. An optimal point of common coupling power data structure and the offset Thévenin voltage data structure are used to calculate current components for determining current for injection into or extraction from corresponding lines at the point of common coupling to reduce total electrical transmission losses of the network. The method may use the frequency domain and may include using frequency-dependent Thévenin parameters.

Abstract: Systems and methods for injecting power into or extracting power out of a power network are provided. In a method, Thevenin parameters, in the form of at least a Thevenin voltage and a Thevenin resistance, of an equivalent Thevenin circuit are obtained with respect to each wire of the PCC. A total Thevenin power for all the wires is obtained, based on a specific amount of power at the PCC and the obtained Thevenin parameters. The method calculates an optimal current to be injected into or extracted from the PCC so as to inject or extract a specific amount of power. The calculation is based on the total Thevenin power and the Thevenin parameters. The method controls an injection or extraction of current at the PCC in accordance with the optimal current.

Abstract: Systems and methods for injecting power into or extracting power out of a power network are provided. In a method, Thevenin parameters, in the form of at least a Thevenin voltage and a Thevenin resistance, of an equivalent Thevenin circuit are obtained with respect to each wire of the PCC. A total Thevenin power for all the wires is obtained, based on a specific amount of power at the PCC and the obtained Thevenin parameters. The method calculates an optimal current to be injected into or extracted from the PCC so as to inject or extract a specific amount of power. The calculation is based on the total Thevenin power and the Thevenin parameters. The method controls an injection or extraction of current at the PCC in accordance with the optimal current.