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Non-linear Analytical Extended Poincare's Model of Phase Saturated Self Excited Series Connected Synchronous Generators

Shariatmadar S. M., Nazarzadeh J., Abedi M.

Przegląd Elektrotechniczny

2012

R. 88, nr 3b

126-134

Wprowadzono model prądu magnesującego maszyny elektrycznej w rejonie nasycenia do analizy stanu nasycenia samowzbudnych generatorów synchronicznych. Wykorzystano model Poincare. Zamodelowano nieliniowość maszyny i obliczono warunki stabilności. Rezultaty symulacji pokazują że zaproponowany model może być wykorzystany do analizy różnych maszyn elektrycznych AC.

In the present paper, first a magnetization current base model is introduced for the electrical machine analyzing that saturation is occurred for the phase that its current entered to saturation region. Other part of machine may be saturated or in the linear condition in order of their currents. Then a new analytical extended Poincare's map is introduced for modelling of self excited series connected synchronous generators in saturated conditions. Using the non-linear control theory, an analytical first order Poincare's map of the machines is computed. Then extended Poincare's map of the machine is introduced. After that characteristic multipliers of the self excited series connected synchronous generator are determined. Nonlinearity of the machine can be modelled with the new map and stability analysis of the system is investigated. The new map is capable for modelling, control, bifurcation and chaos analysis in the non-linear (saturation) conditions. Finally the simulation results of the new extended Poincare's map with experimental laboratory set-up results are compared. The results show that the new Poincare's map is an effective method for modelling and analysis of any ac electrical machines.