Exp.
No: Date:
FERRANTI EFFECT ON LONG TRANSMISSION LINES
Aim: Analyzing the concepts of the Ferranti effect in long transmission lines using MATLAB
Simulink software.
Software Used:
MATLAB 2023 a
Problem:
A 200km long 3 phase, overhead line has a resistance of 48.7Ω/ph, XL=80.20Ω/ph and
capacitance (line to neutral) 8.42 nF/km. It supplies a load of 13.5MW at a voltage of 88kV and power factor
0.9 lagging. Using nominal Π circuit. Find the sending end voltage, current, regulation and power angle.
THEORY:-
When a long line is operating under no load or light load condition, shunt capacitance
predominates, and then receiving end voltage becomes greater than the sending end voltage. This
phenomenon is called Ferranti effect.
This is due to voltage drop across the line inductance being in phase with the sending end
voltage. Thus both capacitance and inductance are necessary to produce this phenomenon.
The above figure represents a model of transmission line at no load. As the line is at no
load only charging current flows through it which creates an inductive drop in the line due to line
inductance. Due to the leading charging current the receiving end voltage becomes more than that
of sending end voltage popularly known as Ferranti effect. This can be explained by the phasor
diagram given below.
Phasor diagram of Ferranti Effect
In the above phasor diagram OM represents the receiving end voltage. OC represents the
current drawn by capacitance assumed to be concentrated at the receiving end. MN represents the
resistance drop and NP represents the inductive reactance drop. OP is the sending voltage under
no load condition and is less than receiving end voltage. From the above phasor diagram it is
quite clear that the inductive drop due to charging current is exactly opposite to the receiving end
voltage and it results to the sending end voltage which justifies the Ferranti effect in a
transmission line at no load.
PROCEDURE:
1. Enter the command window of the MATLAB.
2. Create a new M – file by selecting File - New – M – File
3. Type and save the program in the editor window.
4. Execute the program by pressing Tools – Run.
5. View the results.
Steps:
RESULT:
Ferranti effect for a long transmission line was verified using MATLAB Simulink software.