Sunday, 22 February 2026

 

📘 Short Circuit Ratio (SCR) – Synchronous Generator

Short Circuit Ratio indicates strength and stability of synchronous generator. Very important conceptual topic.


🔹 1️⃣ Definition

SCR = Field current required for rated voltage (from OCC) --------------------------------------------------- Field current required for rated current (from SCC)

In simple terms: SCR = I_f (for rated V on OCC) / I_f (for rated I on SCC)

🔹 2️⃣ Relation with Synchronous Reactance

Very important relation:

SCR ≈ 1 / X_s (per unit)

High SCR → Low synchronous reactance Low SCR → High synchronous reactance

🔹 3️⃣ Physical Meaning

High SCR means:
  • Better voltage regulation
  • Better stability
  • Larger machine size
  • Lower reactance
Low SCR means:
  • Poor voltage regulation
  • Less stable
  • Smaller machine size
  • Higher reactance

🔹 4️⃣ Typical Values

Turbo alternator (cylindrical rotor): SCR ≈ 0.5 to 0.6 Hydro alternator (salient pole): SCR ≈ 1.0 to 1.5

🔹 5️⃣ Example

From OCC: Field current for rated voltage = 5 A From SCC: Field current for rated current = 8 A Find SCR.

SCR = 5 / 8 = 0.625

Moderate stability machine.

🔹 6️⃣ Important Observations

  • SCR inversely proportional to X_s
  • Higher SCR → Smaller voltage drop
  • High SCR improves steady state stability
  • Low SCR machines cheaper

🎯 GATE Important Points

  • Remember SCR ≈ 1 / X_s (pu)
  • High SCR → Better regulation
  • SCR affects stability limit
  • Conceptual question favorite area

High SCR = Strong & Stable Generator

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