
EXERCISES
6.20 In Example 6.9,
(a) Find the largest integration time step T, which yields stable and accurate approximations
of the current i(t) using RK-1, RK-3, and RK-4 integrators.
(b) Find the analytical solution for the current i(t).
(c) Simulate the transient response of the circuit using the remaining stiff integrators available
with Simulink and compare the number of integration steps required for each one.
Calculate
j
ej¼
1
N
X
k¼1, 2,..., N
ji(t
k
) x
1, A
(t
k
)j
where t
k
, k ¼1, 2, . . . , N are the discrete times used by the stiff integration method to
approximate the exact solution i(t
k
).
6.21 Figure E6. 21 shows a thermal second-order system with ...