Computer-implemented method for simulation of an electrical circuit

A computer-implemented method for real-time simulation of an electrical circuit by at least one field-programmable gate array (FPGA), wherein the electrical circuit includes circuit components and corresponds to an overall state space representation, wherein the electrical circuit is divisible into at least two subcircuits in a separation step that includes separation of branch circuits, wherein each subcircuit corresponds to a substrate space representation, wherein the substrate space representations are coupled with one another through coupling variables of the separated branch circuits, and wherein each subcircuit is calculated by solving coupled substrate space representations on the at least one FPGA, the method comprising:

• mapping a coupling of the substrate space representations in a coupling equation system for exchange of calculated coupling variables between the subcircuits;
• determining a plurality of different separations of the electrical circuit into subcircuits corresponding to a plurality of different subcircuit variations;
• determining, in an evaluation step, at least one stability parameter for each of the plurality of different separations based on the coupling equation system, wherein eigenvalues of composite overall state space representations corresponding to the plurality of different separations are determined as stability parameters;
• determining distances of the eigenvalues of the composite overall state space representations to eigenvalues of a non-composite overall state space representation of the electrical circuit without separation;
• selecting, in a selection step and based on the stability parameters, a separation out of the plurality of separations having a minimum eigenvalue distance relative to the eigenvalues of the non-composite overall state space representation;
• and
• performing, after the selection step and based on the selected separation, the real-time simulation of the electrical circuit by calculating the substrate space representations of the selected separation on the at least one FPGA, wherein the at least one FPGA is part of a controller or a hardware-in-the-loop (HIL) simulator having an I/O interface, and wherein performing the real-time simulation of the electrical circuit comprises:
• emitting output values based on the real-time simulation to a technical-physical process via the I/O interface for rapid control prototyping (RCP) or HIL simulation with respect to the technical-physical process, wherein the technical-physical process involves an electric motor, a power grid, an automation machine part, a motor vehicle, an aircraft, an energy generation plant, or an energy distribution plant;
• and
• receiving process values from the technical-physical process via the I/O interface.