Question

In a balanced three-phase system, what is the zero-sequence voltage? ${\mathbf{V}}_{\mathbf{0}}\mathbf{=}$ _______________

Short answer

In a balanced three-phase system, what is the zero-sequence voltage?${\mathrm{V}}_0=0\mathrm{volts}$

Step-by-step solution

Symmetrical Component

There are three-phases of symmetrical component power system which are resolved into three sets of sequential components such as: Positive-sequence, Negative-sequence and Zero-sequence component.

Determine the answer

Write the general formula for zero sequence voltage.

${\mathrm{V}}_0=\frac{{\mathrm{V}}_{\mathrm{a}}+{\mathrm{V}}_{\mathrm{b}}+{\mathrm{V}}_{\mathrm{c}}}{3}$

The sum of all the voltages is equal to zero in a balanced three phase system.

Therefore,${\mathrm{V}}_{\mathrm{a}}+{\mathrm{V}}_{\mathrm{b}}+{\mathrm{V}}_{\mathrm{c}}=0$

Thus, calculate the zero sequence voltage is in a balanced system by substituting 0 for ${\mathrm{V}}_{\mathrm{a}}+{\mathrm{V}}_{\mathrm{b}}+{\mathrm{V}}_{\mathrm{c}}$

$$\begin{gathered} {\mathrm{V}}_0=\frac{0}{3} \\ =0\mathrm{V} \end{gathered}$$

Hence, the zero sequence voltage is in a balanced system is $0\mathrm{volts}$.