Question

A single phase full bridge inverter has a dc voltage source Vs = 230 V.
Find the rms value of the fundamental component of output voltage.
a) 90 V
b) 207 V
c) 350 V
d) 196 V​

Answer 1

Answer:

B) 207 V

Explanation:

The fundamental component of voltage = (4Vs/π) sinωt.

Peak value Vm = 4Vs/π

Rms value = 4Vs/π√2.

Answer 2

Answer:

The output voltage's RMS ( root mean square ) value, $V_{rms}$, measured is $207V$.

Therefore, option b) $207V$ is correct.

Explanation:

Given,

The given d.c voltage of a single-phase full-bridge inverter, $V_{s}$ = $230V$

The output voltage's RMS ( root mean square ) value, $V_{rms}$ =?

As we know,

• A single-phase full-bridge inverter has an RMS value of the output voltage;
• $V_{rms}$ = $\frac{4V_{s} }{\pi } \times \frac{1}{\sqrt{2} }$

After putting the value of $V_{s}$ in the equation, we get:

• $V_{rms}$ = $\frac{4V_{s} }{\pi } \times \frac{1}{\sqrt{2} }$
• $V_{rms}$ = $\frac{4\times 230 }{3.14 } \times \frac{1}{1.414 }$                ( $\pi = 3.14$ and $\sqrt{2} =1.414$ )
• $V_{rms}$ = $207.2V$ ≈ $207V$

Hence, the output voltage's RMS ( root mean square ) value, $V_{rms}$ = $207V$.