Glossary
The following symbols and definitions are used in the technical data of short stroke actuators.
Force Parameters
Fu
Ultimate forceN
Force at high saturation in the magnetic circuit resulting from the ultimate current beyond the saturation point where F ≁ I. The permitted duration for the ultimate force is less than 1 second. The ultimate force should not be used as a dimensioning variable.
Fp
Peak force (saturation range)N
Peak force is referred to the saturation range of the motor where F ≁ I. This motor force is generated at peak current Ip. The permitted duration of the peak force depends on the current motor temperature and is typically less than 3 seconds.
Fpl
Peak force (linear range)N
Peak motor force which is reached at the end of the linear range of the F/I curve of the motor with F ~ I at Ipl. It results in a noticeable heating.
Fc
Continuous force, not cooledN
Motor force at continuous current Ic if all motor phases have the same loads. In order not to exceed the permissible motor temperature, sufficient heat dissipation by convection, conduction and radiation must be ensured.
FFr
FrictionN
Displacement force because of friction.
Fr
Cogging (ripple force)N
Cogging (ripple force) — the sum of forces arising from reluctance, which work in the feed direction when the motor is moved without current input and cause a force ripple during operation.
FWc
Weight compensation (force)N
A vertical installed linear motor system has to work permanently against the force of gravity because of the weight of the moving parts. The weight compensation force FWc is provided by a passive weight compensation unit. FWc represents the force which is measured in vertical direction. This force pulls up the moving part because of an overcompensation.
Current Parameters
Iu
Ultimate currentArms
Maximum effective motor current at which the motor achieves its ultimate force. At Iu the coil temperature can increase up to the permitted maximum value in less than 1 second.
Ip
Peak currentArms
Maximum effective peak current in the range of a few seconds (max. 3 s). When the motor is working with Ip, then the coil temperature must not exceed the maximum permitted value.
Ipl
Peak current (linear range)Arms
Maximum effective peak current in the linear range of the motor where F ~ I.
Ic
Continuous current, not cooledArms
Effective current at related power loss without compulsory cooling option but at sufficient cooling by heat convection, radiation and conduction.
Power Loss Parameters
Pl
Power lossW
The thermal output resulting in the motor winding which leads to a time-dependent temperature increase subject to the operating mode (current) and the ambient conditions (heat dissipation). It is particularly high in the high dynamic range (Fp) due to the square relationship of current, and relatively low in the Ic range. Calculation formula (at 25°C): Pl = (F / km)².
Plp
Peak power lossW
Peak power loss at Ip (at 25°C).
Plc
Continuous power lossW
Power loss at Ic (at 25°C).
Motor Constant and Winding Parameters
km
Motor constantN/√W
Motor constant which expresses the relation between the generated force and the power loss (efficiency of the motor). It is dependent on the temperature. km is referred to a coil temperature of 25°C.
kf
Force constantN/Arms
Winding parameter which, when multiplied by the current in the linear dynamic range, represents the motor force that is being produced: F = Ic · kf.
ku
Back EMF constantV/(m/s)
Winding parameter which represents the armature countervoltage arising at the motor terminals in generator operation, subject to the speed. Generator voltage: Ug = ku · v.
System Parameters
vmax
Maximum speedm/s
Maximum speed at UDCL. The maximum speed is the limit speed that the motor can achieve. It is referred to Fp at Ip when the motor is working with UDCL. At movement systems it can be restricted too because of mechanical factors.
amax
Maximum accelerationm/s²
The maximum achievable acceleration of a movement system can refer to the peak forces or can be restricted because of mechanical factors.
R25
Electrical resistanceΩ
Winding resistance at 25°C.
τth
Thermal time constants
Duration until the coil temperature reaches 63% of the coil end temperature when operating with constant power loss.
L
InductancemH
Motor inductance.
τel
Electrical time constantms
Constant which describes the L/R ratio. The ratio is approximately constant, regardless of the winding system design. The controlled effective time constant decreases with increasing voltage overshoot. At 1 τel, the motor will reach approximately 63% of the final force value corresponding to the current command.
ϑ
Winding temperature°C
The maximum permitted temperature for the windings must not be exceeded. The winding temperature is referred to the measured temperature by a sensor installed in the winding.
UDCL
DC link voltageV
DC link voltage or supply voltage of the power actuators. The higher the speed and the countervoltage that rises with it, and the greater the losses in the cables and power electronics, the higher the required DC link voltage.
2τp
Magnetic periodmm
The magnet period (also pole pair width) 2τp denotes the travel distance of a pole pair on the linear motors. At the same time, τ with index p is the pole pitch.
Accuracy
Repeat accuracy
Resolution
Repeat accuracy
Resolution
Accuracy, Repeat Accuracy, Resolution
Accuracy, repeat accuracy (also known as repeatability) and resolution are in context.
The positioning accuracy of a motion system refers to maximum deviation respectively closeness of the approached position from the desired position.
The positioning repeat accuracy refers to the distances respectively closeness between positions to each other which are reached when the same target position is approached multiple times.
Resolution of a positioning system is referred to the smallest distance which can be measured by an encoder.