an investigation of dual stator winding induction machines

As shown in Figure 4.16, the mutual inductance between rotor th
i loop and
172
th
i + 1
loop under the static rotor eccentricity looks quite different from the self-inductance.
Instead of a pure sinusoidal waveform, more harmonic components are found in the
mutual inductance under the static rotor eccentricity condition. The magnitudes of the
harmonic components of the mutual inductance under the mixed eccentricity are greater
than those under the static eccentricity condition, as shown in Figure 4.18. However, it is
seen from Figure 4.17 that the mutual inductance is a constant under dynamic rotor
eccentricity.
4.3.3 Mutual Inductance Between th
i Loop and
k )
th
i + k Loop ( ≠ 1
The equation to calculate the Mutual inductance between th
i loop and
be expressed as:
2π
1
Li, i+
k = µ 0rl
∫ ⋅ ni
i+
k
g
where, ( θ )
i
0
( θ,
θ )
rm
( θ ) ⋅ N ( θ ) ⋅ dθ
n is the turn function of th
th
i + k rotor loop; g( θrm
)
i rotor loop; ( θ )
i k
th
i + k loop can
(4.11)
N + is the winding function of
θ, is the air gap function; i is the rotor loop number and k is
any integral number between 2 and n . n is the rotor bar number.
The mutual inductances between rotor th
i loop and
th
i + k loop under the static rotor
eccentricity, dynamic rotor eccentricity and mixed rotor eccentricity conditions are
shown in Figure 4.19, Figure 4.20 and Figure 4.21 respectively.