Transformer Impedance & Per-Unit (p.u.)

Transformer Impedance

Every transformer has internal resistance (R) and leakage reactance (X)

Represented as:

Z = R + jX

This impedance:

• Limits fault current

• Influences voltage regulation

• Defines system stiffness

• Expressed as % impedance (%Z)

Example:

5% impedance means the transformer requires 5% of rated voltage to circulate full-load current under short-circuit condition

Per-Unit (p.u.) System

Engineers normalize values using base quantities (MVA, KV)

Zpu = Zactual / Zbase

Why it is Important?

• Eliminates unit complexity.

• Makes multi-voltage systems comparable.

• Keeps transformer impedance consistent across both sides.

Example:

10% impedance = 0.1 p.u. (independent of rating)

Why These Two Are Always Connected

Transformer impedance is naturally expressed in per-unit form

Fault current becomes:

Ifault = IFL / Zpu

Lower Zpu Higher fault current

Higher Zpu Natural current limitation

It simplifies fault analysis and stability studies

It enables direct comparison across equipment ratings

Essential for:

• Protection coordination

• Grid planning

• Load flow analysis

• Equipment sizing

• Engineering Takeaway

Per-unit is not just a mathematical tool it is the common language of power system engineers.