Block latency insertion method (Block-LIM) for fast transient simulation of tightly coupled transmission lines

This paper describes a block matrix formulation of latency insertion method (LIM) for the fast transient simulation of the circuit which includes the elements such as mutual inductance and mutual capacitance. First, the basic formulation of LIM is shown. Next, the block-LIM formulation for the network with mutual inductance and mutual capacitance is described. Then, the block-LIM algorithm is applied to the tightly coupled transmission lines which are connected each other by a number of mutual inductors and capacitors. Finally, some numerical results are shown and it is confirmed that the proposed technique is useful and efficient for the simulations of the tightly coupled transmission lines.