Heffron-Phillips Model

Dr A K Tiwari

ashokktiwari@gmail.com

1Dr A K TIWARI Lecture at MNIT Bhopal

Dr A K TIWARI Lecture at MNIT Bhopal 2

WHAT IS MODELLING

Dr A K Tiwari : Lecture at BITS Pilani 3

A mathematical model is an abstract model that usesmathematical language to describe the behaviour of a system

• Mathematical models are used particularly in thenatural sciences and engineering disciplines butalso in the social sciences (such as economics,sociology and political science); physicists,engineers, computer scientists, and economistsuse mathematical models most extensively.

• Eykhoff (1974) defined a mathematical model as'a representation of the essential aspects of anexisting system (or a system to be constructed)which presents knowledge of that system inusable form'.

Dr A K Tiwari : Lecture at BITS Pilani 4

Dr A K Tiwari : Lecture at BITS Pilani 5

PHYSICAL MODELLING

Dr A K Tiwari : Lecture at BITS Pilani 6

Real World , Physical, graphical and Mathematical Modeling

Dr A K Tiwari : Lecture at BITS Pilani 7

Heffron-phillip’s Model

• Heffron-phillip’s Model of a synchronous machine is commonlyused for the small signal stability analysis.

• Heffron-Phillips model has been used extensively and manyanalytical conclusions and design methods have been developed onthe basis of Phillips-Heffron model.

• The Heffron-Phillips model of a synchronous machine hassuccessfully been used for investigating the low frequencyoscillations and designing power system stabilisers.

• The parameters of the model are usually calculated using thesynchronous generator parameters and some system variables atsteady-state conditions.

• Heffron-Phillips model of a synchronous machine is commonly usedin small signal stability analysis and for off-line design of powersystem stabilisers.

Dr A K TIWARI Lecture at MNIT Bhopal 8

9Dr A K TIWARI Lecture at MNIT Bhopal

10Dr A K TIWARI Lecture at MNIT Bhopal

BASIC MODEL

11Dr A K TIWARI Lecture at MNIT Bhopal

Heffron-Phillips Model

12Dr A K TIWARI Lecture at MNIT Bhopal

Heffron-Phillips Model

13Dr A K TIWARI Lecture at MNIT Bhopal

Heffron-Phillips Model

14Dr A K TIWARI Lecture at MNIT Bhopal

15Dr A K TIWARI Lecture at MNIT Bhopal