Question

Can the symmetrical component transformation be applied to currents, just as it is applied to voltages?

(a) Yes

(b) No

Short answer

The correct option is (a): Yes.

Step-by-step solution

Determine the equation of symmetrical component.

The symmetrical component equation for voltage are given as follows.

For positive sequence component

$$\begin{gathered} {\mathbf{V}}_{\mathbf{a}\mathbf{1}}\mathbf{=}{\mathbf{V}}_{\mathbf{a}\mathbf{1}} \\ {\mathbf{V}}_{\mathbf{b}\mathbf{1}}\mathbf{=}{\mathbf{a}}^{\mathbf{2}}{\mathbf{V}}_{\mathbf{a}\mathbf{1}} \\ {\mathbf{V}}_{\mathbf{c}\mathbf{1}}\mathbf{=}{\mathbf{aV}}_{\mathbf{a}\mathbf{1}} \end{gathered}$$

For negative sequence component.

$$\begin{gathered} V_{a2}=V_{a2} \\ {V}_{b2}=a{V}_{a2} \\ {V}_{c2}=a^2{V}_{a2} \end{gathered}$$

Here

$$\begin{gathered} a=1\angle {120}^0 \\ {a}^2=1\angle {240}^0 \end{gathered}$$

For zero sequence component.

$$\begin{gathered} V_{a0}=V_{a0} \\ {V}_{b0}=V_{a0} \\ {V}_{c0}=V_{a0} \end{gathered}$$

For positive sequence component

$$\begin{gathered} {\mathbf{l}}_{\mathbf{a}\mathbf{1}}\mathbf{=}{\mathbf{l}}_{\mathbf{a}\mathbf{1}} \\ {\mathbf{l}}_{\mathbf{b}\mathbf{1}}\mathbf{=}{\mathbf{a}}^{\mathbf{2}}{\mathbf{l}}_{\mathbf{a}\mathbf{1}} \\ {\mathbf{l}}_{\mathbf{c}\mathbf{1}}\mathbf{=}{\mathbf{al}}_{\mathbf{a}\mathbf{1}} \end{gathered}$$

For negative sequence component.

$$\begin{gathered} l_{a2}=l_{a2} \\ {l}_{b2}=a{l}_{a2} \\ {l}_{c2}=a^2{l}_{a2} \end{gathered}$$

For zero sequence component.

$$\begin{gathered} l_{a0}=l_{a0} \\ {l}_{b0}=l_{a0} \\ {l}_{ac}=l_{a0} \end{gathered}$$

Determine the correct option.

The voltage sequence component and current sequence component are required to obtain the zero, positive and negative sequence current.

Hence, symmetrical component transformation van be applied to voltage as well as current.

Therefore, the correct option is (a) (Yes)