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Figure: 5.2 Single phase Half Bridge DC-AC inverter output waveforms
The r.m.s value of output voltage ν o is given by,
The instantaneous output voltage ν o is rectangular in shape. The instantaneous value of ν o can be
expressed
in Fourier series as,
Due to the quarter wave symmetry along the time axis , the values of a0 and an are zero. The value of bn
is given by,
Substituting the value of bn from above
equation , we get
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The current through the resistor ( iL ) is given by,
Half Bridge DC-AC Inverter with L Load and R-L Load
The DC-AC converter with inductive load is shown in Figure below.
For an inductive load, the load
current cannot change immediately with the output voltage.
Figure: 5.3 Single phase Half Bridge DC-AC inverter with RL load
The
working
of
the
DC-AC
inverter
with
inductive
load
is
as
follow
is:
Case 1: In the time interval 0<=t<= T1 the switch S1 is on and the current flows through the inductor
from points a to b. When the switch S1 is turned off (case 1) at t-T1, the load current would continue to
flow through the capacitor C2 and diode D2 until the current falls to zero, as shown in Figure below.
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