Abstract
The aggregation theory of synchronous generators with small and large induction motors is investigated using a hybrid multimachine representation. A no-load linearization of a two-machine system composed of a synchronous generator and an induction motor illustrates the dynamical interaction of electromechanical and voltage variables in both machines. These aggregation concepts are extended to a realistic multimachine power system with three synchronous generators and three aggregate induction motor loads. Large percentages of induction machine loading are shown to be detrimental to the power system stability. The behavior of critical modes with increased induction motor loading is explained using a two-machine equivalent consisting of an aggregate synchronous generator connected to an aggregate induction motor load. These results are also verified by simulating the load bus voltages following a small change in the reference voltage setpoint of a synchronous generator.
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Abbreviations
- E′ q :
-
q-axis rotor voltage variable (pu)
- E′d :
-
d-axis rotor voltage variable (pu)
- Id, Iq :
-
d-, q-axis machine current (pu)
- id, iq :
-
d-, q-axis system current (pu)
- Vd, Vq :
-
d-, q-axis machine voltage (pu)
- vd, vq :
-
d-, q-axis system voltage (pu)
- Xd, Xq :
-
d-, q-axis synchronous reactance (pu)
- X′d, X′q :
-
d-, q-axis transient reactance (pu)
- T′do, T′qo :
-
d-, q-axis open-circuit time constant (s)
- δ:
-
angle of q-axis w.r.t. system reference (rad)
- ν:
-
Normalized rotor shaft speed (pu)
- ωs :
-
synchronous speed (rad/s)
- H, M:
-
Inertia constant (s) (M=2H)
- D:
-
Damping coefficient (pu)
- Tm :
-
Input mechanical torque (pu)
- TL :
-
Output load torque (pu)
- Gij+jBij :
-
(i,j)th element of reduced admittance matrix (pu)
References
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© 1996 Springer-Verlag London Limited
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Ahmed-Zaid, S., Jang, S.S., Awed-Badeeb, O., Taleb, M. (1996). Aggregation of synchronous generators and induction motors in multimachine power systems. In: Khalil, H.K., Chow, J.H., Ioannou, P.A. (eds) Proceedings of Workshop on Advances in Control and its Applications. Lecture Notes in Control and Information Sciences, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027711
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DOI: https://doi.org/10.1007/BFb0027711
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