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Per-Unit Conversion for Machine Parameters

Impedance Conversion Equations

For machine impedance parameters (resistance, inductance, and reactance), the relationships between SI and per-unit values are defined by these equations:

R=R(SI)Rbase

L=X=X(SI)Xbase

where:

  • R(SI) is the resistance, expressed in Ω.

  • Rbase is the per-unit base resistance, expressed in Ω.

  • R is the per-unit resistance.

  • X(SI) is the reactance, expressed in Ω.

  • Xbase is the per-unit base reactance, expressed in Ω.

  • X is the per-unit reactance.

  • L is the per-unit inductance.

Magnetic Flux Linkage Conversion Equations

For machine magnetic flux linkage parameters, the relationship between SI and per-unit values is defined by

ψ=ψ(SI)ψbase

where:

  • ψ(SI) is the magnetic flux linkage, expressed in Wb.

  • ψbase is the per-unit base magnetic flux linkage, expressed in Wb.

  • ψ is the per-unit magnetic flux linkage.

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