AC machine systems : mathematical model and parameters, by Jingde Gao

By Jingde Gao

"AC computer platforms" stresses either research tools and working performances of AC computing device platforms, together with variable pace force process of AC machines with strength electronics and regulate units, strength power method composed of AC machines and gear strains, certain computing device method with targeted machines and precise lots, electrical desktop procedure such as AC machines and excitation units. in response to a unmarried coil, the Multi-Loop thought is carefully defined, and examples of the way to take advantage of the recent method are provided. This booklet presents a brand new manner for examining the AC desktop platforms. This publication is designed for the researchers and postgraduates within the box of electrical machines and keep watch over. it is also a reference ebook for similar technicians.

This booklet is written in reminiscence of Professor Jingde Gao, past-president of Tsinghua collage, Member of chinese language Academy of Sciences. one other authors, Linzheng Zhang and Xiangheng Wang either are Professors in electric Engineering Dept. of Tsinghua University.

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Under the state of 3-phase symmetry, the 3-phase currents are treated as equivalent current sheet. But, this method is not suitable for the inductance of stator single coil, discrete mode may be used to deal with it. Concrete method is as follows. When calculating the end region magnetic field produced by single coil current, the coil end part is divided into several current elements, and the magnetic field produced by the current elements is calculated in terms of Biot-Savart law. The magnetic field on each point of end region is the superposition of the magnetic field produced by all current elements.

3 shows M 0 ( j ) obtained by two methods (including the inductance M 0G ( j ) related to air-gap magnetic field and leakage inductance M 0l ( j ) ). When the electromagnetic field of the whole electric machine is calculated, the cell number is taken as 3132, the node number is 1621. From the figure, we can see that the results of the two methods are the same. The pitch of the stator coil of the electric machine is 7. When j ı 8 , the overlapping part no longer exists between the j -th coil and the first coil, hence using the permeance analysis method M 0G ( j ) is constant; then adopting the numerical analysis method, the larger the j is, the less the absolute value of M 0G ( j ) is.

Each loop parameter under saturation is calculated by the above two methods respectively on a 30 kVA simulation electric machine (6-pole salient pole synchronous machine). As an example, the mutual inductance of the first coil and j -th coil on stator is M ( j) M 0 ( j )  M 2 ( j ) cos 2(J  D ( j )) where j 1, 2," , Z1 ( Z1 is stator slot number). When j 1 , the mutual inductance becomes self inductance. 3 shows M 0 ( j ) obtained by two methods (including the inductance M 0G ( j ) related to air-gap magnetic field and leakage inductance M 0l ( j ) ).

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