A 3 - voltage source inverter is operated in 180° conduction mode...
Line voltage is given by
A three phase voltage source inverter is operated in 180° mode. In that case third harmonics are absent in line voltage due to the factor

Where k = 0, 1 ,2,....
For n = 3, Vp ≠ 0
∴ Vp is not free from third harmonics
Hence pole voltage will have 3rd harmonic component but line voltage will be free from 3rd harmonic.
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In a 3-voltage source inverter operated in 180° mode, three voltage sources are used to create a three-phase output voltage waveform. Each voltage source is connected to one phase of the load.
The inverter operates by switching the voltage sources on and off at specific intervals to create the desired waveform. In 180° mode, the voltage sources are switched on for 180° of the cycle and switched off for the remaining 180°.
This mode of operation allows for the generation of a sinusoidal output waveform with low distortion. It is commonly used in applications where a high-quality output voltage waveform is required, such as in motor drives or power supplies.
The switching pattern of the voltage sources is carefully controlled to ensure that the output waveform is as close to a pure sinusoid as possible. This is achieved by using pulse width modulation (PWM) techniques, where the duration of each switch-on period is adjusted to control the average voltage applied to the load.
Overall, a 3-voltage source inverter operated in 180° mode provides a high-quality, low-distortion output voltage waveform suitable for a range of applications.