The Heffron-Phillips model is commonly used for small signal stability analysis of synchronous machines. It represents synchronous generators as having electrical and mechanical components. The model parameters are calculated using generator parameters and steady-state operating conditions. The Heffron-Phillips model has been extensively used to investigate low frequency oscillations in power systems and design power system stabilizers.

1. Heffron-Phillips Model
Dr A K Tiwari
ashokktiwari@gmail.com
1Dr A K TIWARI Lecture at MNIT Bhopal

2. Dr A K TIWARI Lecture at MNIT Bhopal 2

3. WHAT IS MODELLING
Dr A K Tiwari : Lecture at BITS Pilani 3

4. A mathematical model is an abstract model that uses
mathematical language to describe the behaviour of a system
• Mathematical models are used particularly in the
natural sciences and engineering disciplines but
also in the social sciences (such as economics,
sociology and political science); physicists,
engineers, computer scientists, and economists
use mathematical models most extensively.
• Eykhoff (1974) defined a mathematical model as
'a representation of the essential aspects of an
existing system (or a system to be constructed)
which presents knowledge of that system in
usable form'.
Dr A K Tiwari : Lecture at BITS Pilani 4

5. Dr A K Tiwari : Lecture at BITS Pilani 5

6. PHYSICAL MODELLING
Dr A K Tiwari : Lecture at BITS Pilani 6

7. Real World , Physical,
graphical and
Mathematical Modeling
Dr A K Tiwari : Lecture at BITS Pilani 7

8. Heffron-phillip’s Model
• Heffron-phillip’s Model of a synchronous machine is commonly
used for the small signal stability analysis.
• Heffron-Phillips model has been used extensively and many
analytical conclusions and design methods have been developed on
the basis of Phillips-Heffron model.
• The Heffron-Phillips model of a synchronous machine has
successfully been used for investigating the low frequency
oscillations and designing power system stabilisers.
• The parameters of the model are usually calculated using the
synchronous generator parameters and some system variables at
steady-state conditions.
• Heffron-Phillips model of a synchronous machine is commonly used
in small signal stability analysis and for off-line design of power
system stabilisers.
Dr A K TIWARI Lecture at MNIT Bhopal 8

9. 9Dr A K TIWARI Lecture at MNIT Bhopal

10. 10Dr A K TIWARI Lecture at MNIT Bhopal

11. BASIC MODEL
11Dr A K TIWARI Lecture at MNIT Bhopal

12. Heffron-Phillips Model
12Dr A K TIWARI Lecture at MNIT Bhopal

13. Heffron-Phillips Model
13Dr A K TIWARI Lecture at MNIT Bhopal

14. Heffron-Phillips Model
14Dr A K TIWARI Lecture at MNIT Bhopal

15. 15Dr A K TIWARI Lecture at MNIT Bhopal