Partial inductance matrix calculation
Mutual inductance matrix gives the quantitative estimation of the mutual magnetic affect of the conductors in the system. In practical engineering the field distribution in the system of conductors is replaced by the equivalent electric circuit consisting of inductances.
 
This equivalent schema operates with currents, voltages and induction coefficients that comprise the mutual inductance matrix:
U1 = a11 * I1 + a12 * I2 + ... + a1n * In
U2 = a21 * I1 + a22 * I2 + ... + a2n * In
......
Un = an1 * I1 + an2 * I2 + ... + ann * In,
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(1) |
where
Uk - k-conductor potential,
Ik - k-conductor current,
aij - self and mutual inductances.
The matrix is symmetrical, i.e. aij = aji.
Mutual inductance matrix coefficient may be calculated by measuring the voltage drop across the conductors when all but one currents in the system are set to zero.
Additional links on this subject:
Mutual inductance from Wikipedia, the free encyclopedia
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