Magnetic circuits Solution

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EXERCISES FOR ELECTRIC POWER SYSTEMS COURSE ENERGY DEPARTMENT, Electrical section 1 Class 1 - solution Magnetic circuits Exercise 1 First, the magnetic circuit is modeled in analogy with an electric circuit: Note : solving the magnetic circuit for the magnetic flux and mmf drops implies solving the analogous electric circuit using analogous laws to Kirchhoff and Ohm Laws. The direction of the magnetic field can be easily determined by applying the Ampère’s right hand screw rule (also called right-hand grip rule or the corkscrew-rule ) as shown in the following figure: Next, the mmf and the reluctances are computed: /g2020 /g3007/g3032 /g3404 /g2020/g2868∙ /g2020/g3045/g3404 4/g202410 /g2879/g2875∙ /g2020/g3045/g3404 0.01885 /g3428/g1834 /g1865/g3432 /g1839/g2869/g3404 /g1840/g2869/g4662/g1835/g2869/g3404 2000 /g4670/g1827 ∙ /g1872/g1873/g1870/g1866/g1871/g4671 /g1844/g2869/g3404/g1838/g2869 /g2020/g3007/g3032 ∙ /g1827/g3030 /g3404 5305.16 /g3428 /g1827 ∙ /g1872/g1873/g1870/g1866/g1871 /g1849/g1854 /g3432 R1 M 1 R2 R3 R4 R5 R6 φ1 2 3 4 56 B1 I1 EXERCISES FOR ELECTRIC POWER SYSTEMS COURSE ENERGY DEPARTMENT, Electrical section 2 /g1844/g2870/g3404/g1838/g2870 /g2020/g3007/g3032 ∙ /g1827/g3030 /g3404 1591.55 /g3428 /g1827 ∙ /g1872/g1873/g1870/g1866/g1871 /g1849/g1854 /g3432 /g1844/g2871/g3404/g1838/g2871 /g2020/g3007/g3032 ∙ /g1827/g3030 /g3404 1591.55 /g3428 /g1827 ∙ /g1872/g1873/g1870/g1866/g1871 /g1849/g1854 /g3432 /g1844/g2872/g3404/g1838/g2872 /g2020/g3007/g3032 ∙ /g1827/g3030 /g3404 2599.53 /g3428 /g1827 ∙ /g1872/g1873/g1870/g1866/g1871 /g1849/g1854 /g3432 /g1844/g2873/g3404/g1838/g2873 /g2020/g3007/g3032 ∙ /g1827/g3030 /g3404 2599.53 /g3428 /g1827 ∙ /g1872/g1873/g1870/g1866/g1871 /g1849/g1854 /g3432 /g1844/g2874/g3404/g1838/g2874 /g2020/g2868∙ /g1827/g3030 /g3404…