| Abstract: | This paper proposes new mathematical models with stator core (iron)‐loss factor for induction motors intended to generate precise and/or efficient torque via vector control. The proposed models have a structure in which the stator core‐loss resistance is equivalently placed purely in parallel with the stator inductance. It is shown that stator core losses consisting of eddy‐current and hysteresis losses can be properly represented by the parallel resistance, and, in particular, eddy‐current loss by a constant one. The models are composed of three basic vector equations in the general frame of an arbitrary angular frequency, such as fourth‐order differential equations describing motor dynamics, the torque equation, and the energy conversion equation. These basic equations are essential for vector control design taking core loss into consideration. The proposed models are most compact in the sense of the number of both the employed parameters and the interior states of the motor. Compactness is an important factor for modeling and is useful for designing vector control systems. © 2000 Scripta Technica, Electr Eng Jpn, 134(1): 64–75, 2001 |
