Simulation of power grids using multirate methods

This article describes a methodology based on Gabriel Kron's diakoptics technique for efficiently simulating an electrical network. The methodology involves dividing a large electrical network into subnetworks that are decoupled in time from each other. For the purpose of network division, it is assumed that the resulting subnetworks are interconnected by transmission lines. The effectiveness of the proposed methodology is demonstrated through an application example in which the transient response of a network is first simulated without partitions, using the high resolution required by the transient phenomenon. Then, the same simulation is performed, but this time with the network divided into two partitions, using the same integration step for both subnetworks. Finally, the two subnetworks are simulated with different integration steps, according to the dynamics of each. The comparison of results and computation times from these three simulations confirms that transient simulations in large networks can be accelerated without compromising the accuracy of the results.