Pre-Step Co-Simulation Method and Device

A simulating device for simulating a real physical model on the basis of a pre-step co-simulation system, the device comprising:

• a first subsystem unit having a first subsystem simulating at least one first parameter v of the real physical model on the basis of a first equation system, wherein the first equation system is configured for determining the first parameter v on a basis of at least one second parameter F,
• a second subsystem unit having a second subsystem simulating the at least one second parameter F of the real physical model on the basis of a second equation system, wherein the second equation system is configured for determining the second parameter F on a basis of the at least one first parameter v,
• an estimating unit configured for estimating the first input value v_in of the first parameter v in the second subsystem and the second input value F_in of the second parameter F in the first subsystem by extrapolation at an first coupling time point T, k−1, wherein a first output value v_out of the first parameter v is determinable by the first subsystem and a second output value F_out of the second parameter F is determinable by the second subsystem,
• an error determination unit configured for determining a first error between the estimated first input value v_in of the first parameter v and the determined first output value vout of the first parameter v and a second error between the estimated second input value F_in of the second parameter F and the determined second output value F out of the second parameter F at a subsequent coupling time point Tk,
• an Error Differential Equation unit for defining a first local replacement model of the real physical model which is based on partial derivatives of the first subsystem and for defining a second local replacement model of the real physical model which is based on partial derivatives of the second subsystem, wherein on the basis of the first local replacement model and the second local replacement model an Error Differential Equation is definable by the Error Differential Equation unit, wherein the Error Differential Equation is configured for receiving the first error and the second error for determining a first characteristic of the first parameter v over time and/or second characteristic of the second parameter F over time between the first coupling time point and a subsequent second coupling time point Tk, and
• an optimization unit configured for optimizing the first input value v_in of the first parameter v and/or the second input value F_in of the second parameter F at the subsequent coupling time point at Tk on the basis of the first characteristic of the first parameter v and/or the second characteristic of the second parameter F for simulating the first parameter v in the first subsystem and/or the second parameter F in the second subsystem.

A computer-readable medium on which there is stored a computer program for simulating a real physical model, the computer program, when being executed by a data processor, is adapted for performing and/or controlling a method including,

• providing a first subsystem simulating at least one first parameter v of the real physical model on the basis of a first equation system, wherein the first equation system is configured for determining the first parameter v on a basis of at least one second parameter F,
• providing a second subsystem simulating the at least one second parameter F of the real physical model on the basis of a second equation system, wherein the second equation system is configured for determining the second parameter F on a basis of the at least one first parameter v, wherein the first input value v_in of the first parameter v in the second subsystem and the second input value F_in of the second parameter F in the first subsystem are estimated by extrapolation at a first coupling time point T, k−1,
• determining a first output value v_out of the first parameter v by the first subsystem and a second output value F_out of the second parameter F by the second subsystem,
• determining a first error between the estimated first input value v_in of the first parameter v and the determined first output value v out of the first parameter v and a second error between the estimated second input value F_in of the second parameter and the determined second output value of the second parameter F at a subsequent second coupling time point,
• defining a first local replacement model of the real physical model which is based on partial derivatives of the first subsystem, and
• defining a second local replacement model of the real physical model which is based on partial derivatives of the second subsystem, wherein on the basis of the first local replacement model and the second local replacement model an Error Differential Equation is defined,
• wherein the Error Differential Equation is configured for receiving the first error and the second error for determining a first characteristic of the first parameter v over time and/or a second characteristic of the second parameter F over time between the first coupling time point T, k−1 and a subsequent second coupling time point Tk,
• wherein on the basis of the first characteristic of the first parameter v and/or the second characteristic of the second parameter F the first input value v_in of the first parameter v and/or the second input value F_in of the second parameter F at the subsequent second coupling time point Tk is optimized for simulating the first parameter v in the first subsystem and/or the second parameter F in the second subsystem.