Abstract: In one aspect, there is provided a method for training a machine learning model to process a graph that represents an electrical system to infer, from the graph, one or more unknown electrical values within the electrical system. In particular, the method includes: obtaining data defining multiple graphs, each graph representing a respective electrical system topology, obtaining, for each electrical system topology and from an electrical simulation system, simulation results indicating an electrical behavior of the respective electrical system topology, and training the machine learning model to predict electrical behaviors of electrical systems including by applying data defining each graph as input to the machine learning model to obtain respective output inferences and adjusting machine learning model parameters responsive to comparisons between the output inferences with simulation results of corresponding electrical system topologies.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for obtaining a model of an electric power grid; simulating first behaviors of a region using a first time resolution and a first modeling domain to determine operational parameters. Determining first values for the operational parameters at a first transition. Converting the first values into a second modeling domain at the first transition time point to obtain converted first values for initial conditions. Simulating second behaviors of the region using a second time resolution and the second modeling domain to determine second operational parameters. Providing, as output, simulation results from at least one of the first behaviors and the second behaviors.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for performing electric grid timing coordination. The method can include: receiving, by a first electric grid device, a message from a second electric grid device, the message including a first clock value associated with an oscillator of the second electric grid device; determining, based on the first clock value, a second-first device time offset between the second electric grid device and the first electric grid device; and storing the second-first device time offset in a time offset table stored at the first electric grid device.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for performing an electric grid time synchronization process. The process can include: receiving, from a GPS transceiver of a first device coupled to an electric power grid, data including a GPS time reference; formatting the GPS time reference into a data packet, where the data packet has a particular format compatible with power line communication; and broadcasting, by the first device and using power line communications, the data packet to a plurality of electric grid components.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for obtaining a model of an electrical power system including multiple subcircuits. Assigning each of multiple subcircuits to a processing core from among multiple processing cores employed for simulation of the model; executing a simulation of electric grid behaviors of the model, where the simulation of each subcircuit can be executed by the respective processing core assigned to the subcircuit. Sending a message, from a first processing core assigned to a first subcircuit to a second processing core assigned to a second subcircuit, the message including one or more boundary conditions at an interface between the first subcircuit and the second subcircuit in the model.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for selecting, from a unified electrical power grid model, a first proper subset of elements of the model. A first electrical grid simulation model is selected. A second, differing proper subset of elements of the model are selected. A second electrical grid simulation model that differs from the first electrical grid simulation model is selected. A set of boundary conditions common to the first electrical grid simulation model and the second electrical grid simulation model are determined. Operation of the electrical power grid is simulated, and can include (i) simulating, using the first electrical grid simulation model, the first proper subset of elements of the unified model, and the set of boundary conditions; and (ii) simulating, using the second electrical grid simulation model and the second proper subset of elements of the unified model, and the set of boundary conditions.