... Substituting (1. 2-7)– (1. 2 -10 ) into (1. 2 -1) and (1. 2-2) yields 1 = N1i1 N1i1 N i2 + + Rl1 Rm Rm (1. 2 -12 ) Φ2 = N i2 N i2 N1i1 + + Rl Rm Rm (1. 2 -13 ) Substituting (1. 2 -12 ) and (1. 2 -13 ) into (1. 2-5) and (1. 2-6) ... Electromechanical Energy Conversion P1 V1 I1 φ = cos 1 = cos 1 = 83.7° 12 11 0 × (1A-2) With V1 as the reference phasor and assuming an inductive circuit where I1 lags V1, V1 I1 11 0 /0° = 1/ − 83.7° = 12 + j109.3 ... W f (i1, i2 , x ) = ∫ i1 ξ L 11 ( x )dξ + ∫ i2 [i1 L12 ( x ) + ξ L22 ( x )] dξ (1. 3-49) 22 Theory of Electromechanical Energy Conversion W f (i1, i2 , x ) = 1 L 11 ( x )i12 + L12 ( x )i1i2 +...