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Unformatted text preview: Continued on back Problem 13 Calculation of Field Energy An electromechanical device has the following flux linkage equations: 2 2 1 2 2 2 2 1 1 1 4 ) 1 )( sgn( 7 . 5 . 4 ) 1 )( sgn( 7 . 2 3 . 2 1 2 1 x e i x e x i ++ + = ++ + + = ++ Note ) sgn( u is 1 if u and 1 if < u and 0 if = u . However, you need only consider the positive current/flux linkage case. Compute the field energy as a function of 1 and 2 . Problem 14 Calculation of Force from Field Energy Suppose that the field energy of is given by ( 29 x x W f + + + + + = 2 3 2 2 2 1 1 7 5 3 . Derive an expression for the electromagnetic force. Problem 15 Calculation of CoEnergy Consider the following system: x e i x e i x e i i i i i i i i i i ++ = ++ = ++ = + ++ ++ +7 ) 1 ( 2 7 ) 1 ( 4 2 7 ) 1 ( 2 5 ) 2 ( 3 3 ) 2 ( 2 2 ) 2 ( 1 1 3 2 1 3 2 1 3 2 1 Compute the coenergy assuming all currents are positive....
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 Spring '08
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