Improved distributed simulations of electric systems via an optimal digital control technique

This paper presents a method for the distributed digital simulations of electric systems. The method is based on optimal digital control. The electric system is reformulated as a discrete-time feedback control system, whose controller, obtained with an optimal control approach, represents the decoupling law. A controller order reduction is then performed to ensure that each subsystem assigned to a central processing unit is of a constrained complexity. Such a technique allows to constraint the computational complexity of the simulated system and to guarantee relatively accurate simulations for sampling periods at which large storage elements-based methods fail to do so, as demonstrated with a numerical example.