Method and system for modeling stator winding end-turn leakage reactance of an electric motor

A method of developing an end-turn leakage flux approximation for turns of coils of a stator winding of an electric motor having a stator with a predetermined number of stator slots within which the turns of the stator winding are distributed according to a predetermined distribution, said stator winding including at least two stator poles, the method comprising:

• a step for developing a first indication representing a pole-to-pole permeance;
• a step for developing a second indication representing an individual pole permeance;
• and
• a step for combining the first and second indications to produce an end-turn leakage flux approximation;
• wherein at least one of the first and second indications is developed in accordance with a discrete representation of the predetermined distribution of the turns of the stator winding.

A computer-based system for developing an end-turn leakage flux approximation for turns of a stator winding of an electric motor having a stator with a predetermined number of stator slots within which the turns of the stator winding are distributed according to a predetermined distribution, said stator winding including at least two stator poles, the system comprising:

• a processing unit coupled with a storage;
• a first set of instructions storable in the storage and executable by the processing unit for developing a first indication representing a pole-to-pole permeance based on an approximated leakage flux path linking two poles;
• a second set of instructions storable in the storage and executable by the processing unit for developing a second indication representing an individual pole permeance based on an approximated leakage flux path linking an individual pole;
• and
• a third set of instructions storable in the storage and executable by the processing unit for combining the first and second indications to produce an end-turn leakage flux approximation;
• wherein at least one of the first and second indications is developed in accordance with a discrete representation of the predetermined distribution of the turns of the stator winding.

A computer program stored in a storage for causing a computer to develop an end-turn leakage flux approximation for turns of coils of a stator winding of an electric motor having a stator with a predetermined number of stator slots within which the turns of the stator winding are distributed according to a predetermined distribution, said stator winding including at least two stator poles, the computer program comprising a storage having encoded therein:

• a first set of computer-executable program code to cause the computer to develop a first indication representing a pole-to-pole permeance based on an approximated leakage flux path linking two poles;
• a second set of computer-executable program code to cause the computer to develop a second indication representing an individual pole permeance based on an approximated leakage flux path linking an individual pole;
• and
• a third set of computer-executable program code to cause the computer to combine the first and second indications to produce an end-turn leakage flux approximation;
• wherein at least one of the first and second indications is developed in accordance with a discrete representation of the predetermined distribution of the turns of the stator winding.

A storage containing software for developing an end-turn leakage flux approximation for turns of coils of a stator winding of an electric motor having a stator with a predetermined number of stator slots within which the turns of the stator winding are distributed according to a predetermined distribution, said stator winding including at least two stator poles, the storage comprising:

• means for developing a first indication representing a pole-to-pole permeance based on an approximated leakage flux path linking two poles;
• means for developing a second indication representing an individual pole permeance based on an approximated leakage flux path linking one pole;
• and
• means for combining the first and second indications to produce an endturn leakage flux approximation;
• wherein at least one of the first and second indications is developed in accordance with a discrete representation of the predetermined distribution of the turns of the stator winding.