2.5 Numerical Examples

In this section, we present one numerical example for compact modeling by projection-based model order reduction. The example is a two-port large lumped RLC circuit. The values are marked in the Figure 2.8.

Figure 2.8: A two-port large lumped RCL circuit.

We perform projection-based model order reduction on the circuit with different orders (different poles). The results are shown in Figure 2.9 for Y(11) responses and Figure 2.10 for Y(12) responses. Hence, with more orders or more poles used, the reduced models will better match the original models.

Figure 2.9: Comparison of the magnitudes of Y(11) for different reduction orders for the lumped RLC circuit.

Figure 2.10: Comparison of the magnitudes of Y(12) for different reduction orders for the lumped RLC circuit.