Steinmetz’s law of hysteresis
E61292
Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| generalized Steinmetz equation | 1 |
| improved generalized Steinmetz equation | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
empirical law
ⓘ
physical law ⓘ |
| appliesTo |
ferromagnetic cores
ⓘ
magnetic materials ⓘ |
| assumes |
empirical power-law dependence on flux density
ⓘ
empirical power-law dependence on frequency ⓘ |
| category |
magnetic loss model
ⓘ
transformer design rule of thumb ⓘ |
| characteristicExponentRange | n typically between 1.5 and 2.5 ⓘ |
| coefficientDependsOn |
magnetic material type
ⓘ
material processing ⓘ operating temperature ⓘ |
| commonlyAppliedTo |
ferrite cores
ⓘ
silicon steel laminations ⓘ |
| defines | power loss density as proportional to f B_max^n ⓘ |
| expresses | loss per unit volume ⓘ |
| field |
electrical engineering
ⓘ
magnetics ⓘ |
| generalizedBy |
Steinmetz’s law of hysteresis
self-linksurface differs
ⓘ
surface form:
generalized Steinmetz equation
Steinmetz’s law of hysteresis self-linksurface differs ⓘ
surface form:
improved generalized Steinmetz equation
|
| hasFormula | P = k f B_max^n ⓘ |
| hasParameter |
B_max (maximum flux density)
ⓘ
f (frequency) ⓘ k (Steinmetz coefficient) ⓘ n (Steinmetz exponent) ⓘ |
| influencedBy | magnetic domain behavior ⓘ |
| isApproximationOf | area of the hysteresis loop ⓘ |
| limitation |
reduced accuracy at high frequencies
ⓘ
reduced accuracy for non-sinusoidal waveforms ⓘ |
| lossType | hysteresis loss in magnetic cores ⓘ |
| namedAfter | Charles Proteus Steinmetz ⓘ |
| neglects | separation of hysteresis and eddy current losses ⓘ |
| relates |
frequency of magnetization
ⓘ
hysteresis loss per cycle ⓘ maximum magnetic flux density ⓘ |
| usedFor |
design of AC inductors
ⓘ
design of AC magnetic devices ⓘ design of transformers ⓘ estimation of core losses ⓘ estimation of hysteresis losses ⓘ |
| usedIn |
induction motor core loss calculations
ⓘ
magnetic component design handbooks ⓘ transformer core loss calculations ⓘ |
| validityCondition |
approximately sinusoidal excitation
ⓘ
narrow range of flux density ⓘ narrow range of frequency ⓘ |
| yearProposed | 1892 ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
Steinmetz’s law of hysteresis
→
generalizedBy
→
Steinmetz’s law of hysteresis
self-linksurface differs
ⓘ
this entity surface form:
generalized Steinmetz equation
Steinmetz’s law of hysteresis
→
generalizedBy
→
Steinmetz’s law of hysteresis
self-linksurface differs
ⓘ
this entity surface form:
improved generalized Steinmetz equation