Permanent Magnet Losses - MapleSim Help

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Permanent Magnet Losses

Model of permanent magnet losses dependent on current and speed

Modelica Standard Library

	Description
	Permanent magnet losses are modeled as dependent on stator current and shaft speed. The losses are generated by applying a braking torque to the shaft. To neglect permanent magnet losses, set $P_{ref}$ to zero (this is the default).

	Equations
	$τ = τ_{s} = - τ_{f} = - τ_{ref} (c + (1 - c) {(\frac{i_{rms}}{I_{ref}})}^{p_{I}}) {\begin{array}{c} + {(\frac{ω}{ω_{ref}})}^{p_{ω}} & 0 \leq ω \\ - {(- \frac{ω}{ω_{ref}})}^{p_{ω}} & otherwise \end{array}$ $τ_{ref} = \frac{P_{ref}}{ω_{ref}}$ $φ = φ_{f} - φ_{s}$ $ω = \frac{d φ}{dt}$ $lossPower = - τ ω$ $i_{rms} = \sqrt{\sum_{k = 1}^{3} i_{s_{k}}^{2}}$

Variables

Name	Units	Description	Modelica ID
$i_{rms}$	$A$	Quasi RMS value of stator current	iRMS
$i_{s}$	$A$	Instantaneous stator currents	is
$lossPower$	$W$	Loss power leaving component via heat port	lossPower
$ω$	$\frac{rad}{s}$	Relative angular velocity of flange and support	w
$φ$	$rad$	Angle between shaft and support	phi
$τ$	$N m$	Torque	tau
$τ_{f}$	$N m$	Torque at flange	flange.tau
$τ_{s}$	$N m$	Torque at support	support.tau

Connections

Name	Description	Modelica ID
$flange$	Shaft end	flange
$Heat Port$	Conditional heat port	heatPort
$i_{s}$	Three phase stator current	is
$support$	Housing and support	support

Parameters

Name	Default	Units	Description	Modelica ID
$ω_{ref}$		$\frac{rad}{s}$	Reference angular velocity	wRef
$c$	$0$		Part of magnet losses at zero current, independent of current	c
$I_{ref}$		$A$	Reference stator RMS current	IRef
$p_{ω}$	$1$		Exponent of magnet loss torque w.r.t. angular velocity	power_w
$p_{I}$	$2$		Exponent of magnet loss torque w.r.t. stator current	power_I
$P_{ref}$	$0$	$W$	Reference magnet losses at $i_{rms} = I_{ref}$ and $ω = ω_{ref}$	PRef
Use Heat Port	$false$		True (checked) enables the heat port	useHeatPort

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Electrical Library

Electrical Machines

Induction Machine Losses

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