Elementary equations of the bipolar machine
Asynchronous machines - Schemes of any kind

In order to maintain maximum generality, we will take as independent variables (figure 1) :

θ : angle between phases 1 and a ;

u_a, u_b, u_c, i_a, i_b, i_c: rotor voltages and currents ;

u₁, u₂, u₃, i₁, i₂, i₃: stator voltages and currents.

Star or delta couplings will be taken into account later (§ 6 and 10) by constraints; this will enable the reader to extend the results below to the case of machines with various connections.

• Using the notations already defined, we obtain, in instantaneous values, for the voltages :

  $u_1=R{i}_1$