This DC to AC inverter circuit work based on
unstable multi vibrator does. In this circuit, IC CD4047 is chosen as a
heart of unstable multi vibrator, because this IC type gives a complementary
output that has opposite phase to another ( pin 10 and 11 as seen in
Figure 1), and has 50 % duty cycle that satisfy to generate a pulse for
inverter.

Figure 1. A simple inverter circuit, that powered by
MOSFET IRFZ44.
In order to increase the current out of multi vibrator
so enough to generate a higher AC power too, then we must use MOSFET
IRFZ44. IRFZ44 gives out high current to drive a step-up transformer, so AC
power is available at the high voltage side of transformer.
This circuit is called as simple DC to AC inverter
because of the output haven't a sinusoidal signal yet, so there are many
harmonic signal at the output. To suppress this signal we must use a filter
such as a capacitor C. Because of this simplicity this circuit is suitable
only for lighting demand. To build a sinusoidal DC to AC inverter, we can
use a PWM signal for driving a step-up transformer, such as at page of
DC to AC inverter using
AT89C2051.
