Introduction to Electrical Power and Power Electronics

200 Introduction to Electrical Power and Power Electronics

dc of initial value equal to the peak value of ac. We have seen similar analysis for the

magnetizing inrush current in transformer in Section 5.7. It is analogous to the inertial

energy stored in a large moving mass being dumped on a spring, or the water hammer

building up the pressure in water pipe on the instant of suddenly shutting off the valve.

8.3.2 rigoroUs MatheMatiCal analysis

For rigorous transient analysis of the R-L circuit in Figure 8.2a, we apply Kirchhoff’s

voltage law to write

√+=+ >2sin

d

d

for

s

Vt Ri L

i

t

t()ωθ 0 (8.8)

with the initial conditions i(0) = 0 and v(0) = √2