Can I approximate over the total range of operation a synchronise machine with nonlinear magnetisation characteristic as a PT2-element with variable parameters?
Transfer elements in control circuits have been discussed in detail and second order delay element with magnetic saturation also under reference 1.
The modelling of Hydro Plant with Surge tank included resulting in P2 model is given in Reference 2.
1. http://www.obukanastavnika.edu.me/en/books/book5/textbook/text_chapter_6.pdf
6.6.2 Second-order delay elements
In the case of a second-order delay element, there are two energy stores in action.
There is a time constant applicable to each energy store. The number of time con-
stants is included as a number in the short-form designation. A second-order delay
element therefore also bears the abbreviated designation P-T2 element or T2 ele-
ment. Second-order delay elements can have greatly differing properties, so that
three cases are differentiated:
Second-order delay elements
– with the same kind of energy stores and the same time constants;
– with the same kind of energy stores and with different time constants;
– with different kinds of energy stores.
2. http://www.studia.pwr.wroc.pl/p/skrypty/7_Renewable%20Energy%20Systems%20W-5/03_Water%20Power%20Plants.pdf
Wrocław University of Technology
Renewable Energy Systems
Piotr Stawski, Kazimierz Herlender et al
WATER POWER PLANTS
It is not stated as to for what purpose you want to model total range of operation a synchronous machine with nonlinear magnetisation characteristic as a PT2-element with variable parameters like Dynamic operation in Power System under normal operation or under Fault as a Single Machine connected to Infinite Bus or Multi- Machines System under Fault..
However I feel that the First reference may be of some Good help to you.
P.S.
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