Modified Steinmetz Model Reference

The Modified Steinmetz model allows you to model hysteresis and eddy-current losses.

Simcenter STAR-CCM+ calculates the losses using a modified Steinmetz formula, based on magnetic flux density calculations (see Eqn. (4344)). You can use the loss terms for thermal analysis.

Model Name Modified Steinmetz
Theory See Power Losses.
Provided By [physics continuum] > Models > Optional Models
Example Node Path Continua > Physics 1 > Models > Modified Steinmetz
Requires
  • Space: one of Two Dimensional, Three Dimensional
  • Time: Implicit Unsteady
  • Material: one of Solid, Multi-Component Solid > Multi-Part Solid
  • Electromagnetism: one of Finite Element Magnetic Vector Potential, Finite Volume Magnetic Vector Potential, Transverse Magnetic Potential
  • Optional Models: Eddy Current Suppression
Activates Material Properties Eddy-Current Loss Coefficient, Hysteresis Loss Coefficient, Steinmetz Coefficient A, Steinmetz Coefficient B. See Material Properties.
Monitors Modified Steinmetz. See Modified Steinmetz Monitor.
Field Functions Eddy-Current Loss Coefficient, Hysteresis Loss Coefficient, [SteinmetzMonitorFF Maximum], [SteinmetzMonitorFF Minimum], [SteinmetzMonitorFF Peak], [SteinmetzMonitorFF Mean Square Time Derivative], [SteinmetzMonitor Eddy-Current Loss], [SteinmetzMonitor Hysteresis Loss], [SteinmetzMonitor Total Loss], Steinmetz Coefficient A, Steinmetz Coefficient B. See Field Functions.

Material Properties

Applies to solid materials.

Eddy-Current Loss Coefficient
The eddy-current loss coefficient C e in Eqn. (4344). The default value is 0.
Hysteresis Loss Coefficient
The hysteresis loss coefficient C h in Eqn. (4344). The default value is 0.
Steinmetz Coefficient A
a in Eqn. (4344). The default value is 0.
Steinmetz Coefficient B
b in Eqn. (4344). The default value is 0.

Modified Steinmetz Monitor

Allows you to monitor the peak value and the average time derivative of a specified field function. By default, the field function is the magnetic flux density. This monitor type appears under the New Monitor right-click action for the Monitors node. For this monitor, you specify the following properties:
Parts
Specifies the input parts where you monitor the peak value and the average time derivative of the Modified Steinmetz monitor field function.
Enabled
Activates/deactivates the Modified Steinmetz monitor.
Field Function
Specifies the field function for which the peak value and the derivative are calculated. The associated maximum, minimum, peak, and time derivative field functions appear as read-only properties. Simcenter STAR-CCM+ sets the name of the associated field functions based on the specified function. See Field Functions.
Excitation Frequency
Specifies the excitation frequency f, as defined in Eqn. (4344), as a scalar profile.
As for all Simcenter STAR-CCM+ monitors with time-step trigger, you specify the frequency of update in terms of the time-step, using the Time-Step Frequency child node.

Field Functions

Eddy-Current Loss Coefficient
Corresponds to the coefficient Ce in Eqn. (4344).
Hysteresis Loss Coefficient
Corresponds to the coefficient Ch in Eqn. (4344).
Modified Steinmetz Monitor Field Functions
The following field functions are associated with the Steinmetz monitor (see Modified Steinmetz Monitor). The name of these field functions change based on the field function that you specify for the Steinmetz monitor. As by default the field function specified for the monitor is the Magnetic Flux Density: Magnitude, the associated field functions are: Magnetic Flux Density: Magnitude Maximum, Magnetic Flux Density: Magnitude Minimum, Magnetic Flux Density: Magnitude Peak, Magnetic Flux Density: Magnitude Mean Square Time Derivative.
  • [SteinmetzMonitorFF Maximum]—corresponds to the maximum value of the field function that you select for the Steinmetz monitor. See Eqn. (4345).
  • [SteinmetzMonitorFF Minimum]—corresponds to the minimum value of the field function that you select for the Steinmetz monitor. See Eqn. (4345).
  • [SteinmetzMonitorFF Peak]—corresponds to the peak of the field function that you select for the Steinmetz monitor. See Eqn. (4345).
  • [SteinmetzMonitorFF Mean Square Time Derivative]—corresponds to the average time derivative of the field function that you select for the Steinmetz monitor. See Eqn. (4346).
The following field functions are also associated with the Steinmetz monitor. The name of these field functions change based on the monitor name. By default, the monitor name is Modified Steinmetz 1, so the default names are Modified Steinmetz 1 Eddy-Current Loss, Modified Steinmetz 1 Hysteresis Loss, and Modified Steinmetz 1 Total Loss.
  • [SteinmetzMonitor Eddy-Current Loss]—corresponds to the losses by eddy-currents
  • [SteinmetzMonitor Hysteresis Loss]—corresponds to the losses by hysteresis
  • [SteinmetzMonitor Total Loss]—corresponds to the total core losses W
Steinmetz Coefficient A
Corresponds to the coefficient a in Eqn. (4344).
Steinmetz Coefficient B
Corresponds to the coefficient b in Eqn. (4344).

Steinmetz Coefficients Validity Range

The Steinmetz coefficients for the materials in the Electromagnetics material database derive from experimental data. The following tables provide information on the valid range of excitation frequencies for commonly referenced materials.

Table 1. Nickel-Iron and Cobalt-Iron Alloy Materials
Material Minimum frequency (Hz) Maximum frequency (Hz)
Hiperco 50A 0.006 60 1400
Hiperco 50A 0.014 800 1200
HyMu 80 0.006 60 400
Table 2. Non-Oriented AISI Silicon Steel Materials
Material Minimum frequency (Hz) Maximum frequency (Hz)
M-19 24 Ga 60 60
M-19 26 Ga 50 1000
M-19 29 Ga 50 1500
M-27 24 Ga 60 60
M-27 26 Ga 60 60
M-27 29 Ga 60 60
Table 3. Non-Oriented EN 10106 Fully Processed Silicon Steel Materials
Material Minimum frequency (Hz) Maximum frequency (Hz)
M235-35A 50 1000
M250-35A 50 1000
M270-35A 50 1000
M270-50A 50 200
M300-35A 50 1000
M330-35A 50 1000
M330-50A 50 400
M400-50A 50 400
M470-65A 50 50
M700-50A 50 50
M700-65A 50 50
M800-50A 50 50
Table 4. Thin Non-Oriented Silicon Steel Materials
Material Minimum frequency (Hz) Maximum frequency (Hz)
NO20 50 2500
Table 5. Vacuumschmelze Steel Materials
Material Minimum frequency (Hz) Maximum frequency (Hz)
Vacodur 49 800 1200
Vacodur 50 400 2000
Vacoflux 48 1000 5000
Vacoflux 50 50 1000