State transition matrix-based power system simulation

A system comprising one or more computers and one or more storage devices storing instructions that when executed by the one or more computers cause the one or more computers to perform electrical power grid simulation operations comprising:

• receiving data describing an electric circuit of an electrical power grid, the electric circuit having nodes and branches between the nodes;
• generating a representation of the electrical power grid in a state-space form, the representation including one or more network equations that include a plurality of state variables each representing a respective independent storage element of in the electric circuit, and wherein generating the representation of the electrical power grid in the state-space form comprises:
• generating a simplified electric circuit which has only one capacitor element between each node to ground, and has only one inductor element on each branch;
• and
• generating, from the simplified electric circuit, the representation of the electrical power grid in the state-space form;
• and
• generating, based on the representation of the electrical power grid in a state-space form, a model of the electrical power grid.

One or more non-transitory computer-readable storage media storing instructions that when executed by one or more computers cause the one or more computers to perform electrical power grid simulation operations comprising:

• receiving data describing an electric circuit of an electrical power grid, the electric circuit having nodes and branches between the nodes;
• generating a representation of the electrical power grid in a state-space form, the representation including one or more network equations that include a plurality of state variables each representing a respective independent storage element of in the electric circuit, and wherein generating the representation of the electrical power grid in the state-space form comprises:
• generating a simplified electric circuit which has only one capacitor element between each node to ground, and has only one inductor element on each branch;
• and
• generating, from the simplified electric circuit, the representation of the electrical power grid in the state-space form;
• and
• generating, based on the representation of the electrical power grid in a state-space form, a model of the electrical power grid.