Sunday, 22 February 2026

 

📘 Ferranti Effect – Long Transmission Line

Ferranti Effect occurs in long transmission lines under light load condition. Receiving end voltage becomes greater than sending end voltage.


🔹 1️⃣ What is Ferranti Effect?

Under light or no load condition: Vr > Vs

Receiving end voltage rises above sending end voltage.

🔹 2️⃣ Why Does It Occur?

In long lines:
  • Line capacitance is significant
  • Charging current flows
  • Voltage drop across inductance due to charging current adds to Vr
Capacitive charging current leads voltage by 90°. This causes voltage rise at receiving end.

🔹 3️⃣ Mathematical Explanation

For long line: Vs = A Vr + B Ir At no load: Ir = 0 Therefore:

Vs = A Vr

For long line: A = cosh(γl) Since cosh(γl) > 1 Vr = Vs / A But due to distributed capacitance, effective voltage rises. Conceptual explanation frequently asked.

🔹 4️⃣ Conditions for Ferranti Effect

  • Long transmission line (>250 km)
  • Light load or no load
  • High operating voltage
More prominent in underground cables.

🔹 5️⃣ Example Concept Question

A 300 km line operating at no load. What happens to receiving end voltage?

Answer: It increases due to Ferranti effect.


🔹 6️⃣ How to Reduce Ferranti Effect?

  • Shunt reactors at receiving end
  • Reduce line length
  • Load the line properly

🎯 GATE Important Points

  • Occurs in long lines
  • Due to line capacitance
  • More at light load
  • Receiving end voltage rises

Ferranti Effect = Voltage Rise Due to Line Capacitance

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