An interval type-2 fuzzy logic controller for TCSC to improve the damping of power system oscillations

Abstract

In this paper an interval type-2 fuzzy logic controller (IT2FLC) was proposed for thyristor controlled series capacitor (TCSC) to improve power system damping. For controller design, memberships of system variables were represented using interval type-2 fuzzy sets. The three-dimensional membership function of type-2 fuzzy sets provided additional degree of freedom that made it possible to directly model and handle uncertainties. Simulations conducted on a single machine infinite bus (SMIB) power system showed that the proposed controller was more effective than particle swarm optimization (PSO) tuned and type-1 fuzzy logic (T1FL) based damping controllers. Robust performance of the proposed controller was also validated at different operating conditions, various disturbances and parameter variation of the transmission line parameters.

Keywords

power system oscillations / thyristor controlled series capacitor (TCSC) / type-2 fuzzy logic system / interval type-2 fuzzy logic controller (IT2FLC)

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Acknowledgements

This work was supported by the quality improvement program center of Indian Institute of Technology Roorkee and All India Council of Technical Education, New Delhi, India.

Notation

XC Capacitive reactance of TCSC

XP Inductive reactance of TCSC

k Compensation ratio

a Firing angle of TCSC

XT Transformer reactance

VT Terminal voltage of generator

VB Infinite bus voltage

XL Reactance of transmission line

d Rotor angle of generator

w Rotor speed of generator

Pm Mechanical power input to generator

Pe Electrical power output of generator

M Generator inertia constant

D Damping coefficient of generator

s TCSC conduction angle

Xdd-axis synchronous reactance of generator

KA Gain of excitation system

X'dd-axis transient reactance of generator

TA Time constant of excitation system

Efd Excitation system voltage

E'q Generator terminal voltage

wb Synchronous speed of generator

Xq q-axis synchronous reactance of generator

X'qq-axis transient reactance of generator

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