Concept:
A Thyristor Controlled Reactor (TCR) is a power electronic device used in:
• FACTS devices,
• reactive power compensation,
• voltage control systems.
It consists of:
\[
\text{Inductor + Anti-parallel thyristors}
\]
By controlling firing angle, effective inductive reactance is varied.
Step 1: Understanding TCR operation.
In a TCR:
• thyristors control conduction angle,
• current through reactor changes,
• reactive power absorbed changes.
Hence effective inductive reactance becomes controllable.
Step 2: Effect of firing angle.
When firing angle changes:
\[
\alpha \uparrow \Rightarrow I_L \downarrow
\]
Thus effective inductance behavior varies dynamically.
Step 3: Understanding why it is called variable inductance.
Since current through reactor can be controlled continuously:
\[
X_L = \omega L
\]
appears variable to the system.
Therefore TCR acts as:
\[
\text{Variable Inductance}
\]
Step 4: Analyzing options.
• Variable resistance \(\rightarrow\) incorrect
• Variable capacitance \(\rightarrow\) incorrect
• Variable inductance \(\rightarrow\) correct
• Improved reactor power factor \(\rightarrow\) not primary function
Step 5: Selecting the correct answer.
Hence correct option is:
\[
\boxed{(3)}
\]