Linear Synchronous Machines by Amal Souissi & Imen Abdennadher & Ahmed Masmoudi

Author:Amal Souissi & Imen Abdennadher & Ahmed Masmoudi
Language: eng
Format: epub
ISBN: 9789811304231
Publisher: Springer Singapore

Basically and referring to Eq. (2.22), the flux density B could be expressed based on flux and the equivalent flux tube surface S, as:

(2.80)

Considering the Ampere law, the elementary magnetic energy, represented by the hachured elementary area in Fig. 2.16, turns to be:

(2.81)

Considering the linear case, the integration of Eq. (2.81) leads the determination of the magnetic energy density :

(2.82)

where is the equivalent volume of the considered system.

Referring to Fig. 2.16, the linear characteristic could be expressed considering the self inductance L which is independent on the current i, leading to the following relation [3]:

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