Equations of state and time constants
Asynchronous machines - Schemes of any kind
Article REF: D3485 V1
Equations of state and time constants
Asynchronous machines - Schemes of any kind

Author : Michel POLOUJADOFF

Publication date: February 10, 2000 | Lire en français

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9. Equations of state and time constants

9.1 Definition and presentation

The state variables of a system are a set of variables that describe the system and its evolution.

The order of the system is equal to the smallest number of variables that can be found.

An equation of state is the expression of the first derivatives of state variables in terms of the variables themselves.

The notion of state variables only applies to a complete system, not to an isolated machine. For this reason, we'll deal with an easily generalized example: an induction motor with a short-circuited rotor, supplied by perfect voltage sources, whose axis is integral with a frictionless inertia.

It is further assumed that...

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