Faulhaber
Faulhaber
Technical EN
Information
WEWE
CREATE MOTION
CREATE MOTION DE
1
Imprint
As at:
2nd edition, 2010 – 2011
Copyright
by Dr. Fritz Faulhaber GmbH & Co. KG
Daimlerstr. 23 / 25 · 71101 Schönaich
Subject to modifications.
2
Contents
DC-Micromotors DC-Micromotors 4 – 12
Flat DC-Micromotors & DC-Gearmotors
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3
DC-Micromotors
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4
DC-Micromotors
Technical Information
General information
The lifetime, depending on the application type, may DC-Micromotors
exceed the 10 000 hours. Higher speeds cause accelerated Precious Metal Commutation
mechanical wear, resulting in reduced lifetime.
Also excessively high current and temperature shortens
the lifetime. On the average, lifetime of up to 1 000 hours
for metal brushes, and more than 3 000 hours for graphite Series 0615 ... S
0615 N
brushes can be expected when the motors are operated 1 Nominal voltage UN
2 Terminal resistance R
within recommended values indicated on the data sheet. 3 Output power P2 max.
4 Efficiency max.
These values do not influence each other. It is advisable
that the current under load in continuous operation 5 No-load speed no
5
The no-load current is speed and temperature dependent.
m = 100 ·R·J
–––––––––
Changes in ambient temperature or cooling conditions kM 2
will influence the value. In addition, modifications to the
Rotor inertia J [gcm2]
shaft, bearing, lubrication, and commutation system or
Rotor‘s mass dynamic inertia moment.
combinations with other components such as gearheads or
encoders will all result in a change to the no-load current Angular acceleration α max. [·103 rad/s2]
of the motor. The acceleration obtained from standstill under no-load-
conditions and at nominal voltage.
Stall torque MH [mNm]
The torque developed by the motor at zero speed max.
MH· 10
= –––––––
and nominal voltage. This value is greatly influenced J
by temperature. Thermal resistance Rth1/Rth2 [K/W]
UN – I Rth1 corresponds to the value between the rotor and
MH = kM · ––– o
R housing. Rth2 corresponds to the value between the
housing and the ambient air.
Friction torque MR [mNm]
Rth2 can be reduced by enabling exchange of heat between
Torque losses caused by the friction of brushes, bearings
the motor and the ambient air (for example using a heat
and commutators. This value is influenced by temperature.
sink or forced air cooling).
MR= kM · Io Thermal time constant τw1 / τw2 [s]
The thermal time constant specifies the time needed for
Speed constant kn [rpm/V] the rotor and housing to reach a temperature equal to
The speed variation per Volt applied to the motor 63% of final value.
terminals at constant load.
Qm
Final
no
kn = –––––––– =1 000
––––– temperature
UN – I o · R kE
n = –––––––
30 000 –––R Shaft play [mm]
––– · 2
M kM The shaft play on the bearings, measured at the bearing
Rotor inductance L [μH] exit.
The inductance measured on the motor terminals at 1 kHz. Housing material
Mechanical time constant τm [ms] The housing material and the surface protection.
The time required for the motor to reach a speed of 63% Weight [g]
of its final no-load speed, from standstill. The average weight of the basic motor type.
6
DC-Micromotors
Technical Information
7
Optimizing the preselection
Graph 1
To optimize the motor‘s operation and life performance, Efficiency Output-
power Current Speed
the required speed [n] has to be higher than half the no-
P2
I n
load speed [no] at nominal voltage, and the load torque [M] (%) (W) (A) (rpm)
has to be less than half the stall torque [MH]. 3,0 0,5 10 000
n o = 8 800 rpm
no
n ≥ ––– MH
M ≤ –––
9 000
P2 max = 2,47 W
2,5
2 2 100 0,4 8 000
I
IH = 0,421 A
nt
90 rre
7 000 cu
max = 80 %
From the data sheet for the DC-Micromotor, 2233 T 024 S 80
2,0
0,3 6 000
ef
the parameters meet the above requirements. 70 fic
ienc
y
1,5 5 000
60
out
is greater
put
no
n (5 500 rpm) ≥ ––– 8 800 = 4 400 rpm
–––––
50 0,2 4 000
sp
pow
2 than 2 40 1,0
3 000
ee
d
n
er
30
0,1 2 000
20 0,5
M
MH is less 10,70
M (3 mNm) ≤ ––– ––––– = 5,35 mNm 10
1 000 Torque
2 than 2 0 0 0 0
Io M Opt.= 1,18 mNm
MH = 10,70 mNm
0 1 2 3 4 5 6 7 8 9 10 11 (mNm)
MR= 0,13 mNm
Should the required speed be well below half the no-load inserting the values
speed and or the load torque [M] be more than half the Supply voltage U = 20 V DC
Terminal resistance R = 57 Ω
stall torque [MH], a gearhead or a larger frame size motor No-load current IO = 0,005 A
has to be selected. Back-EMF constant kE = 2,690 mV/rpm
UN 20
IH = ––– [A]
I = ––– [A] 57
R
Stall torque MH
24 = 0,351 A
I = ––– = 0,421 A
57
MH = kM (IH – Io)
Torque at max. efficiency
inserting the value
[mNm]
Mopt. = MH · MR [mNm] Torque constant kM = 25,70 mNm/A
8
DC-Micromotors
Technical Information
R –––UN – I 2 P2 · 100
= –––– [%]
P2 max. = –– · o [W] U·I
4 R
2
–– · 20
P2 max.(20 V) = 57 –– – 0,005 = 1,70 W 1,52
= ––––––––– · 100 = 62,3 %
4 57 20 · 0,122
Efficiency, max. ηmax. In this example the calculated speed at the working point
is different to the required speed, therefore the supply
Io 2
max. = 1 – ––– · 100 [%] voltage has to be changed and the calculation repeated.
IH
Supply voltage at the operating point
2 The exact supply voltage at the operating point can now
0,005 · 100
= 1 – ––––––
max. = 77,6 % be obtained with the following equation:
0,351
U = R · I + kE · n · 10-3
At the point of max. efficiency, the torque delivered is:
U = 57 · 0,122 + 2,695 · 5 500 · 10-3 = 21,78 V DC
Mopt. = MH · MR [mNm] In this calculated example, the parameters at the operating
point are summarized as follows:
inserting the values
Supply voltage U = 21,78 V DC
Friction torque MR = 0,13 mNm Speed n = 5 500 rpm
and Output torque MN = 3 mNm
Stall torque at 20 V DC MH = 8,91 mNm Current I = 0,12 A
Output power P2 = 1,72 W
Efficiency η = 66 %
Mopt. = 8,91 · 0,13 = 1,08 mNm
Graph 2
I = –3–––––––
+ 0,13 = 0,122 A Efficiency Output-
25,70 power Current Speed
P2
I n
Speed at the operating point (%) (W) (A) (rpm)
n =U –R·I
––––––– · 1 000 [rpm]
kE 9 000
2,5
100 0,4 8 000
90
20 – 57 · 0,122
n = –––––––––––––– = 4 841 rpm
7 000
· 1 000 80
2,0
70 5 500 rpm
1,5 5 000
50 0,2 4 000
24
V
1,0
40
3 000
30
0,1 2 000
0,12A
20
V
21
,7
8V
20 0,5
10
1 000 M
Torque
P2 = 3 · 4 841 · ––––––––– = 1,52 W 0 0 0 0
30 · 1 000 0 1 2 3 4 5 6 7 8 9 10 11 (mNm)
9
DC-Micromotors
Precious Metal Commutation
1
3
4
12
6
DC-Micromotor
7
1 End cap
2 Ball bearing
3 Brush cover 8
4 Brushes 9
5 Housing
6 Commutator
7 Coil 10
8 Shaft
9 Washer
10 Magnet
11 Retaining sleeve 2
12 Terminals 9
11
Features Benefits
The main difference between FAULHABER DC-Micromotors N Ideal for battery operated devices
and conventional DC motors is in the rotor. The winding N No cogging
does not have an iron core but consists of a self-supporting N Extremely low current consumption –
low starting voltage
skew-wound copper coil. This featherweight rotor has
N Highly dynamic performance due to
an extremely low moment of inertia, and it rotates with-
a low inertia, low inductance coil
out cogging. The result is the outstanding dynamics of
N Light and compact
FAULHABER motors. For low power motors, commutation
N Precise speed control
systems using precious metals are the optimum solution
N Simple to control due to the linear
because of their low contact resistance. performance characteristics
10
DC-Micromotors
Graphite Commutation
1
2
3
4
5
2
13
7
8
DC-Micromotor
1 Retaining ring
9
2 Spring washer
3 Ball bearing
10
4 Brush cover
5 Graphite brushes
6 Insulating ring 11
7 Commutator
8 Coil
9 Shaft
12
10 Magnet
11 Magnet cover
12 Housing
13 Terminals 3
Features Benefits
These motors feature brushes manufactured of a sintered N No cogging
metal graphite material and a copper commutator. N High power density
This ensures that the commutation system can withstand N Highly dynamic performance due to
more power and still deliver exceptionally long opera- a low inertia, low inductance coil
11
Flat DC-Micromotors
Precious Metal Commutation
1
2
3
6
7
DC-Gearmotor with
integrated encoder 8
6 Sintered bearing 12
7 Washer 13
8 Housing with integrated gears
9 Intermediate plate 14
10 Sintered bearing
11 Output shaft
12 Washer
13 Sleeve bearing
14 Front cover
Features Benefits
The heart of these Flat DC-Micromotors is the ironless N No cogging
rotor made up of three flat self supporting coils. N Extremely low current consumption –
The rotor coil has exceptionally low inertia and inductance low starting voltage
12
Brushless DC-Motors
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13
Brushless DC-Servomotors
Technical Information
Co + Cv · no
Io = ––––––––––
kM
14
Terminal inductance, phase to phase L [μH] Direction of rotation
The inductance measured between two phases at 1 kHz. The direction of rotation is given by the external servo
Mechanical time constant τ m [ms] amplifier. All motors are designed for clockwise (CW)
The time required by the motor to reach a speed of 63% and counter-clockwise (CCW) operation; the direction of
of its final no-load speed, from standstill. rotation is reversible.
Shaft bearings
The standard bearings used for the Brushless DC-Servo-
motor.
Weight [g]
The average weight of the basic motor type.
15
Brushless DC-Micromotors
1
10
Brushless
Blind
8
DC-Micromotor 11
1 Blind 12 4
Micro Planetary
1
2 Housing
Blind Gearhead
13 9
2
3 Blindcover
Rear
3
4 Bearing
Blind support 10 Satellite carrier
4
5 Bearing
Blind 11 Satellite gear
5
6 Magnet
Blind 12 Sun gear 14
6
7 Washer
Blind 13 Planetary stage
7 Coil 14 Output shaft
8 Shaft 15 Housing
15
9 Cover / Bearing 16 Bearing / Cover
support 17 Retaining ring
16
17
Features Benefits
This smallest, brushless DC-Micromotor is based on the N Extremely light and compact
System FAULHABER skew wound coil technology.
® N Exceptional power to volume ratio
It is essentially comprised of a three phase coil, a stator N Brushless commutation for long life
housing, and a two-pole NdFeB magnet on the ouput N Low operating voltage
shaft as the rotor. N For combination with micro planetary gearheads
16
Brushless DC-Servomotors
1
7
Brushless 14
DC-Servomotor
1 Rear cover 8
2 PCB
3 Hall sensors
4 Bearing support 9
5 Ball bearing
6 Shaft
7 Magnet 10
8 PCB 11
9 Coil
10 Spring washer
12
11 Spacer
12 Stator laminations
13 Housing
14 Lead wires 13
Features Benefits
The FAULHABER Brushless DC-Servomotors are built N System FAULHABER®, ironless stator coil
for extreme operating conditions. They are precise, have N High reliability and operational lifetime
extreme long lifetimes and are highly reliable. Exceptio- N Wide range of linear torque / speed performance
nal qualities such as smooth running and especially low N No sparking
noise level are of particular note. The rare-earth magnet N No cogging
as rotor, and FAULHABER skew winding technology ensure N Dynamically balanced rotor
that these motors deliver top performance dynamics N Simple design
within minimum overall dimensions. N Standard with digital hall sensors with optional
analog hall sensors
This series is also available in an autoclavable version and
is ideally suited for application in laboratory and medical
equipment.
Product Code
Sterilizing conditions
N Temperature 134 °C ± 2 °C
N Water vapour pressure 2,1 bar
N Relative humidity 100 %
N Duration of cycle 20 min.
N Rated for a minimum of 100 cycles
17
Brushless DC-Servomotors
Sensorless, SMARTSHELL® Technology
4
1
8
9
10
11
12
13
Brushless DC-Servomotor,
sensorless
5
7.3
7.4
Features Benefits
The skew-wound self-supporting coil, System FAULHABER®, N System FAULHABER®, ironless stator coil
the printed circuit board, the laminated stack and the N High reliability and operational lifetime
front-end bearing cover are all encapsulated and meshed N Wide range of linear torque / speed performance
together with a mould-injected LCP (Liquid Crystal N No sparking
Polymer), exhibiting outstanding mechanical and thermal N No cogging
features. N Dynamically balanced rotor
N Simple design
The modular design concept of the SMARTSHELL® motors
N Available with optional digital or analog hall sensors
offers two Hall sensor modules for precise speed and
position control. With these modules assembled to the
rear end of the motors, the BDS (Brushless Digital Sensors)
and BAS (Brushless Analog Sensors) options are available
for use with the appropriate drive electronics. Productt Code
18
Brushless DC-Servomotors
4 Pole Technology 1
3
4
5
12
Brushless
DC-Servomotor
4 Pole Technology
7
1 Rear cover
2 PCB 8
3 Retaining ring
4 Spring washer
5 Ball bearing 9
6 Coil with Hall sensors
7 Housing
10
8 Stator laminations
9 Magnet 5
10 Shaft
11 Front flange
11
12 Flat cable
3
Features Benefits
The brushless servo motors in the FAULHABER BX4 N High torque 4 Pole Technology
series are characterised by their innovative design, which N Compact, robust design
comprises just a few individual components. N Modular concept
N Available with integrated encoders and
Despite their compact dimensions, the 4 pole magnet speed controllers
technology gives these drives a high continuous torque N High reliability and operational lifetime
with smooth running characteristics and a particularly N No sparking
low noise level. The modular rotor system makes it pos- N No cogging
sible to tune the performance of the motor to the higher N Dynamically balanced rotor
torque or higher speed needs of the application. N Simple design
19
Brushless DC-Motors
with integrated Drive Electronics
1
5
Brushless DC-Motor 3
with integrated Drive Electronics
6
1 Rear cover 7
2 Drive Electronics 8
3 Flat cable
4 Housing
9
5 Coil
6 Spring washer 10
7 Ball bearing
8 Washer 11
9 Magnet
10 Shaft
11 Rotor back-iron 7
12 Front flange
12
Features Benefits
These new brushless DC-Motors with integrated drive N System FAULHABER®, ironless stator coil
electronics combine the advantages of the System N High reliability and operational lifetime
FAULHABER skew wound coil technology with the lifetime
® N Wide range of linear torque / speed performance
benefits of electronic commutation. The motors are based N Programmable motor characteristics
on a three-phase ironless coil, a bipolar rare-earth perma- N No sparking
nent magnet and sensorless electronic commutation. N No cogging
N Dynamically balanced rotor
To define the position of the rotor in relation to the
N Integrated electronics
rotating field of the coil, the back-EMF is measured and
N Simple design
processed. The position detection of the rotor is sensorless.
N Available with optional digital or analog Hall sensors
The design features the basic linear characteristics over a
wide speed range and the absence of cogging torque just
like the traditional brush commutated DC-Motors in the Product Code
FAULHABER program. The rotating magnet and iron flux
path avoid iron losses and results in higher efficiency.
20
Brushless Flat DC-Micromotors
penny-motor® Technology
5
Brushless Flat
DC-Micromotor
2 Bearing support
3 Ball bearing
4 Magnet
5 Rotor disc
6 Shaft
Features Benefits
The extremely flat design of the brushless penny-motor® N Ultra flat design
is made possible by innovative coil design. Instead of being N No cogging and precise speed control
mechanically wound, it is fabricated by means of photo- N Exceptional power to volume ratio
lithographic processes. High power neodymium magnets N Very low current consumption
(NdFeB) and a precise bearing system complete the motors N High operational lifetime
for exceptional torque and smooth performance despite
their extremely flat dimensions.
21
Brushless Flat DC-Micromotors
1
Brushless Flat
DC-Micromotor 8
1 End cap
2 Ball bearing
3 Hall Sensor PCB
4 Rotor and output shaft
5 Stator Coil
6 Rotor, Back-Iron
and Magnet
7 Ball bearing
8 Housing
Features Benefits
The heart of each brushless flat DC motor consists of the N No cogging torque
flat stator coils. The rotor is constructed of a high power N Electronic commutation using
three digital hall sensors
rare earth magnet and two rotating discs which provide
N Precise speed control
the back iron for an optimal use of the magnetic flux.
N Flat, light, and very compact
The rotating back iron also serves to eliminate any cog-
ging, or so-called detent torque which improves the in-
herent speed control properties of the motor drastically.
26 10 T 0 1 2 B
26 Motor diameter [mm]
10 Motor length [mm]
T Shaft type
012 Nominal voltage [V]
B Type of commutation (electronic)
22
Brushless DC-Motors
with integrated Speed Controller 1
2 3
Features Benefits
These new brushless DC motors combine the advantages N Integrated drive electronics
of a slotless brushless motor with dedicated, high pre- N Extremely compact
cision, speed control electronics. N Very robust construction
N Easy to use
Speed control is achieved using the on board PI controller
N Integrated current limiting
with an external command voltage. The drives are pro-
N Control parameters can be tuned
tected from overload with the integrated current limiting. to the application
32 68 G 024 BX4 SC
32 Motor diameter [mm]
68 Motor length [mm]
G Shaft type
024 Nominal Voltage [V]
BX4 Type of commutation (electronic)
SC Integrated Speed Controller
23
Motion Control Systems
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24
Motion Control Systems
Technical Information
1 Heat sink/cover
2 Thermal conduction pad
3 Thermal protection
4 Motion Controller
5 Housing
6 Analog Hall sensors
7 Brushless DC-Servomotor
8 Interface cable
Features Benefits
With its incredibly compact design, this all-round package N Highly dynamic, compact drive system
with brushless motor and integrated
units a powerful brushless DC-Servomotor, a high-reso-
motion controller and encoder
lution encoder and a programmable position and speed
N Controlled either by means of a RS232
regulator. interface oder CAN interface
N Smallest integrated CANopen Motion Controller
Because of its brushless commutation, the service life of with CiA DS301 V4/ DSP402 V2 standard protocols
these powerful complete systems is only limited by the N Exact torque regulation through improved
servicelife of the bearings and the electronic components power monitoring
used. As well as the familiar RS232 interface, the system is N Very flexible motion control functionality
now available for the first time with a CAN interface and N Digital inputs for TTL and PLC can be configured compatibly
CANopen protocol. This means that up to 127 can be
linked and controlled with ease.
Product Code
The powerful motion controller, together with the valua-
tor, permits a whole host of positioning tasks and speed
regulations with a resolution of 1/3000 revolutions.
The integrated self-protection against overheating and
overvoltage ensures reliable operation. The use of the
latest DSP technology enables very high regular sensing
rates and PWM frequencies that make the dynamic power 3268 Motor series
G Shaft type
pack score extremely well in terms of regulation and 3268 G 024 BX4 CS
024 Nominal voltage [V]
effectiveness. BX4 Type of commutation
(brushless, integrated electronics)
CS Type of interface
25
Motion Manager
The high-performance “Motion Manager” software from
FAULHABER enables users to control and configure drive
systems with motion controllers.
The graphic user interface and commands use the same
menus and functions regardless if the CAN or RS232
interface is in use. This can dramatically simplify the first
steps into CAN applications.
Motion Manager for all Windows™ versions can be
downloaded free of charge in German or English from
www.faulhaber.com.
26
Motion Control Systems
27
Stepper Motors
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28
Stepper Motors
Technical Information
29
Isolation test voltage 1) [VDC]
Is the test voltage for isolation test between housing and
phase windings. Torque (mNm)
1.25
Motor dimensions [mm]
1
The values provide a rapid view about the motor
housing diameter and length as well as the standard shaft 0.75
diameter.
0.5
Weight [g]
0.25
Is the motor weight in grams.
0
1)
these parameters are measured during final inspection on 100 %
of the products delivered. 0 500 1000 1500 2000 2500 3000 3500
-0.25
-0.5
Stepper Motor Selection -0.75
T (ms)
The selection of a stepper motor requires the use of
published torque speed curves based on the load parameters.
It is not possible to verify the motor selection mathematically
without the use of the curves. Depending on the motor size suitable for the application
it is required to recompute the torque parameters with the
To select a motor the following parameters must be
motor inertia as well.
known:
In the present case it is assumed that a motor with an out-
N Motion profile side diameter of maximum 15 mm is suitable and the data
N Load friction and inertia has been computed with the inertia of the AM1524.
N Required resolution 2. Verification of the motor operation.
N Available space The highest torque/speed point for this application is
N Available power supply voltage found at the end of the acceleration phase. The top speed
is then n = 5000 rpm, the torque is M = 1 mNm.
1. Definition of the load parameters at the motor shaft
Using these parameters you can transfer the point into
The target of this step is to determine a motion profile
the torque speed curves of the motor as shown here with
needed to move the motion angle in the given time frame
the AM1524 curves for a current mode drive.
and to calculate the motor torque over the entire cycle
using the application load parameters such as friction and It is not possible to use the full torque of the motor:
load inertia. a safety factor of 30% is requested. The shown example
The motion and torque profiles of the movement used in assures that the motor will correctly fulfil the requested
this example are shown below: application conditions.
Torque Power
(mNm) (W)
4000
2 1
3000
2000 1 0,5
1000
0 0
0 500 1000 1500 2000 2500 3000 3500 0 5000 10000 15000 20000 Speed (rpm)
T (ms) 2000 4000 6000 8000 (Step/s)
30
In case that no solution is found, it is possible to adapt N In full step mode (1 phase on) the phases are successive-
the load parameters seen by the motor by the use of a ly energised in the following way:
reduction gearhead. 1. A+ 2. B+ 3. A– 4. B–.
The demonstrated method does not specify the differences N Half step mode is obtained by alternating between
between the two published torque speed curves, one for 1-phase-on and 2-phases-on, resulting in 8 half steps
voltage mode and one for current mode (which was used per electrical cycle: 1. A+ 2. A+B+ 3. B+ 4. A–B+
as the solution for the application example). 5. A– 6. A–B– 7. B– 8. A+B–.
The difference is mainly linked to the performance one N If every half step should generate the same holding
may get from the motor. Whereas the voltage mode is torque, the current per phase is multiplied by √2 each
offering good performance at low speed the torque will time only 1 phase is energised.
decrease rapidly, the current mode allows higher speed The two major advantages provided by microstep opera-
performance as the constant current mode drive (the tion are lower running noise and higher resolution, both
current is controlled by a chip related control loop) which depending on the number of microsteps per full step
allows to apply a higher voltage to the motor phases. which can in fact be any number but is limited by the
Voltage mode is the best choice for application with system cost.
supply voltage below 10 V mainly due to the availability of As explained above, one electrical cycle or revolution of
suitable driver chips. In voltage mode, the motor winding the field vector (4 full steps) requires the driver to provide
must have a nominal voltage equal to the power supply to a number of distinct current values proportional to the
get the best performances. number of microsteps per full step.
The moment the voltage is higher than 10 V a current For example, 8 microsteps require 8 different values which
mode driver will be the better choice. It is recommended in phase A would drop from full current to zero following
to apply a supply voltage at least U = 5 x R x I of the the cosine function from 0° to 90°, and in phase B would
selected motor winding. rise from zero to full following the sine function.
3. Verification of the resolution These values are stored and called up by the program
It is assumed that the application requires a resolution controlling the chopper driver. The rotor target position is
of 9° angular. determined by the vector sum of the torques generated in
phase A and B:
The selected motor AM1524 has a step angle of 15° which
means that the motor is not suitable directly. It can be
operated either in half-step, which reduces the step angle MA = k · IA = k · Io · cos ϕ
to 7,5°, or in micro stepping. With micro stepping, the
resolution can be increased even higher whereas the pre- MB = k · IB = k · Io · sin ϕ
cision is reduced because the error angle without load of
the motor (expressed in % of a full-step) remains the same where M is the motor torque, k is the torque constant
independently from the number of micro-steps the motor and Io the nominal phase current.
is operated.
For the motor without load the position error is the same
For that reason the most common solution for adapting
in full, half or microstep mode and depends on distortions
the motor resolution to the application requirements is
of the sinusoidal motor torque function due to detent
the use of a gearhead or a lead-screw where linear motion
torque, saturation or construction details (hence on the
is required.
actual rotor position), as well as on the accuracy of the
phase current values.
General application notes
4. Verification in the application
In principle each stepper motor can be operated in
Any layout based on such considerations has to be verified
three modes: full step (one or two phases on), half step
in the final application under real conditions.
or microstep.
Please make sure that all load parameters are taken into
Holding torque is the same for each mode as long as dis- account during this test.
sipated power (I2R losses) is the same. The theory is best
presented on a basic motor model with two phases and
one pair of poles where mechanical and electrical angle
are equal.
31
Stepper Motors
Two phase
2 6
3
7
4
5
8
Stepper Motor
10
1 Retaining ring
2 Washer
3 PCB
4 Ball bearing
11
5 Rear cover / stator
6 Coil, Phase A
7 Inner stator 9
8 Rotor
9 Magnets 13
10 Shaft
4
11 Housing
12 Coil, Phase B
13 Front cover / stator
12
Features Benefits
2
PRECIstep® stepper motors are two phase multi-polar N Cost effective positioning drive without 1
an encoder
motors with permanent magnets. The use of rare-earth
N High power density
magnets provides an exceptionally high power to volume
N Long operational lifetimes
ratio. Precise, open-loop, speed control can be achieved
N Wide operational temperature range
with the application of full step, half step, or micro-
stepping electronics. N Speed range up to 16 000 rpm using a current
mode chopper driver
The rotor consists of an injection moulded plastic support N Possibility of full step, half step and microstep operation
and magnets which are assembled in a 10 or 12 pole
configuration depending on the motor type. The large
magnet volume helps to achieve a very high torque
density. The use of high power rare-earth magnets also
enhances the available temperature range of the motors Product Code
from extremely low temperatures up to 180 °C as a
special configuration. The stator consists of two discrete
phase coils which are positioned on either side of the
rotor. The inner and outer stator assemblies provide the
necessary radial magnetic field.
32
Stepper Motors
Two phase with Disc Magnet
1
4
2
Stepper Motor
6
1 Retaining ring
2 PCB
3 Rear cover / stator
4 Coil
5 Housing 7
6 Sleeve
8
7 Disc Magnet
8 Shaft
9 Front cover
9
10 Sintered bearing
10
Features Benefits
The rotor consists of a thin magnetic disc. The low rotor N Extremely low rotor inertia
inertia allows for highly dynamic acceleration. The rotor N High power density
disc is precisely magnetized with 10 pole pairs which N Long operational lifetimes
helps the motor achieve a very high angular accuracy. N Wide operational temperature range
The stator consists of four coils, two per phase, which N Ideally suited for micro-stepping applications
are located on one side of the rotor disc and provide the
axial magnetic field.
Product Code
33
Linear DC-Servomotors
WE CREATE MOTION
34
Linear DC-Servomotors
Technical Information
35
Linear DC-Servomotors
Technical Information
a: Acceleration [m/s2]
Force calculation
To move a mass on a slope, the motor needs to deliver
a force to accelerate the load and overcome all forces Speed profiles
opposing the movement. Shifting any load from point A to point B is subject to the
laws of kinematics.
Fext Equations of a uniform straight-line movement and
uniformly accelerated movement allow definition of the
various speed vs. time profiles.
Fe Prior to calculating the continuous duty force delivered by
m the motor, a speed profile representing the various load
movements needs to be defined.
Ff
Fy Triangular speed profile
Fg
The triangular speed profile simply consists of an accelera-
Fx tion and a deceleration time.
Speed (m/s)
The sum of forces shown in above figure has to be equal to:
t The shaded area equals
the movement length
F = m · a [N] during time t.
1 1 v2
Displacement: s = ___ · v · t = ___ · a · t 2 = ____ [m]
2 4 a
s a·t
Speed: v= 2· ___
= ________ = a·s [m/s]
t 2
s v v2
Acceleration: a=4· = 2 · ____ = ____
____
[m/s2]
t2 t s
36
Trapezoidal speed profile Speed (m/s)
The trapezoidal speed profile, acceleration, speed and
deceleration, allow simple calculation and represent
typical real application cases.
2
1 3 Time (s)
Speed (m/s)
t1 = td /3 t2 = td /3 t3 = td /3
4
t The shaded area equals td = 100 ms t4 = 100 ms
the movement length
during time t.
Unit 1 2 3 4
2 1 v2 Calculation example
Displacement: s = · v · t = ______ · a · t 2 = 2 · ____
___ [m] Speed and acceleration of part 1
3 4,5 a
s 20 · 10-3
vmax. = 1,5 · ___ = 1,5 · _________________
= 0,3 m/s
s a·t a·s t 100 · 10-3
Speed: v = 1,5 · ___ = ________ = _________
[m/s]
t 3 2 s 20 · 10-3
a = 4,5 · ___ = 4,5 · ____________________
= 9 m/s2
s v v 2 t2 (100 · 10-3) 2
Acceleration: a = 4,5 · ___ = 3 · ___ = 2 · ____ [m/s2]
t2 t s Force definition
Assuming a load of 500 g and a friction coefficient of 0,2,
the following forces result:
How to select a linear DC-Servomotor Forward Backward
Force Unit Symbol 1 2 3 4 1 2 3 4
This section describes a step-by-step procedure to select a Friction N Ff 0,94 0,94 0,94 -0,94 0,94 0,94 0,94 0,94
linear DC-Servomotor. Parallel N Fx 1,71 1,71 1,71 1,71 -1,71 -1,71 -1,71 -1,71
Speed profile definition Acceleration N Fa 4,5 0 -4,5 0 4,5 0 -4,5 0
To start, it is necessary to define the speed profile of the Total N Ft 7,15 2,65 -1,85 0,77 3,73 -0,77 -5,27 -0,77
load movements.
Movement characteristics are the first issues to be con- Calculation example
sidered. Which is the maximum speed? How fast should Friction and acceleration forces of part 1
the mass be accelerated? Which is the length of movement Ff = m · g · · cos ()= 0,5 · 10 · 0,2 · cos (20º) = 0,94 N
the mass needs to achieve? How long is the rest time?
Fa = m · a = 0,5 · 9 = 4,5 N = 4,5 N
Should the movement parameters not be clearly defin-
ed, it is recommended to use a triangular or trapezoidal
Motor selection
profile.
Now that the forces of the three parts of the profile
Lets assume a load of 500 g that needs to be moved are known, requested peak and continuous forces can
20 mm in 100 ms on a slope having a rising angle of 20° be calculated in function of the time of each part.
considering a trapezoidal speed profile.
The peak force is the highest one achieved during the
motion cycle.
Fp = max. ( | 7,15 | , | 2,65 | , | -1,85 | , | 0,77 | , | 3,73 | , | -0,77 | , | -5,27 | , | -0,77 | ) = 7,15 N
37
Linear DC-Servomotors
Technical Information
2,0 2,0
Coil winding temperature calculation
To obtain the coil winding temperature, the continuous
motor current needs to be calculated. 1,5 1,5
F e 2,98
Ie = = _________ = 0,46 A
_____ 0,5 0,5
kf 6,43
0
0 0,05 0,10 0,15 0,20 0,25 0,30 Speed
With an electrical resistance of 13,17 , a total thermal [m/s]
resistance of 26,2 °C / W (Rth1 + Rth2) and a reduced ther- LM 1247–020–01
2
External force curve
Allows knowing the maximum applicable external force
3 ) · ( 1 - 0,0038 · 22) + 22
2 for a given speed with a load of 0,5 kg.
13,17 · (8,1 + 0,45 · 18,1) · (0,46 · _____
Tc (I) = 2 = 113,5 °C
_____________________________________________________________________________________________ The graph shows that the max. achievable speed ( )
3 2 without external forces, but with a load of 0,5 kg is 0,31 m/s.
1 – 0,0038 · 13,17 ( 8,1 + 0,45 · 18,1) · (0,46 · ) _____
2 Therefore, the maximum applicable external force ( )
at a speed of 0,3 m/s is 0,5 N.
The external peak force ( ) is achieved at a speed
of 0,17 m/s, corresponding to a maximum applicable
external force of 2,27 N.
38
Linear DC-Servomotors
QUICKSHAFT© Technology
1 7
2
8
Linear DC-Servomotor
1 Sleeve bearings
4
2 Bearing support 5
3 Coil 6
4 Housing
9
5 PCB
6 Hall sensors
7 Lead wires and connector
8 Cover
9 Forcer rod
Features Benefits
QUICKSHAFT® combines the speed and robustness of N High dynamics
a pneumatic system with the flexibility and reliability N Excellent force to volume ratio
features of an electro-mechanical linear motor. N No residual force present
The innovative design with a 3-phase self-supporting N Non-magnetic steel housing
coil and non-magnetic steel housing offers outstand- N Compact and robust construction
ing performance. N No lubrication required
N Simple installation and configuration
The absence of residual static force and the excellent
relationship between the linear force and current
make these motors ideal for use in micro-positioning
applications. Position control of the QUICKSHAFT®
Linear DC-Servomotor is made possible by the built-in
Product Code
Hall sensors.
Performance lifetime of the QUICKSHAFT® Linear DC-
Servomotors is mainly influenced by the wear of the
sleeve bearings, which depends on operating speed
and applied load of the cylinder rod.
LM Linear Motor
L M 1 2 4 7– 0 2 0 – 0 1
12 Motor width [mm]
47 Motor length [mm]
020 Stroke length [mm]
01 Sensors type: linear
39
Precision Gearheads
WE CREATE MOTION
40
Precision Gearheads
Technical Information
≤ 6 = ± 0,1 mm
≤ 30 = ± 0,2 mm
≤ 120 = ± 0,3 mm
41
Zero Backlash Gearheads How to select a reduction gearhead
The spur gearheads, series 08/3, 12/5, 15/8, 16/8 and 22/5,
with dual pass geartrains feature zero backlash when pre- This section gives an example of a step-by-step procedure
loaded with a FAULHABER DC-Micromotor. on how to select a reduction gearhead.
Preloaded gearheads result in a slight reduction in overall
Application data
efficiency and load capability.
The basic data required for any given application are:
Due to manufacturing tolerances, the preloaded gear-
Required torque M [mNm]
heads could present higher and irregular internal friction Required speed n [rpm]
torque resulting in higher and variable current consump- Duty cycle δ [%]
Available space, max. diameter/length [mm]
tion in the motor. Shaft load radial/axial [N]
However, the unusual design of the FAULHABER zero
backlash gearheads offers, with some compromise, an The assumed application data for the selected example are:
excellent and unique product for many low torque, Output torque M = 120 mNm
high precision postioning applications. Speed n = 30 rpm
Duty cycle δ = 100%
The preloading, especially with a small reduction ratios, Space dimensions, max. diameter = 18 mm
is very sensitive. This operation is achieved after a defined length = 60 mm
Shaft load radial = 20 N
burn-in in both directions of rotation. For this reason, axial = 4N
gearheads with pre-loaded zero backlash are only available
To simplify the calculation in this example, the duty cycle is
when factory assembled to the motor.
assumed to be continuous operation.
The true zero backlash properties are maintained with
new gearheads only. Depending on the application, a slight Preselection
backlash could appear with usage when the gears start A reduction gearhead which has a continuous output
wearing. If the wearing is not excessive, a new preload torque larger than the one required in the application
could be considered to return to the original zero backlash is selected from the catalogue.
properties. If the required torque load is for intermittent use, the
selection is based on the output torque for intermittent
Assembly instructions operation.
It is strongly recommended to have the motors and The shaft load, frame size and overall length with the
gearheads factory assembled and tested. This will assure motor must also meet the minimum requirements.
perfect matching and lowest current consumption. The product selected for this application is the planetary
The assembly of spur and hybrid gearheads with motors gearhead, type 16/7.
requires running the motor at very low speed to ensure
Output torque, continuous operation Mmax. = 300 mNm
the correct engagement of the gears without damage. Recommended max. input speed for
– Continuous operation n ≤ 5 000 rpm
The planetary gearheads must not be assembled with – Shaft load, max. radial ≤ 30 N
the motor running. The motor pinion must be matched axial ≤5N
with the planetary input-stage gears to avoid misalign-
Calculation of the reduction ratio
ment before the motor is secured to the gearhead.
To calculate the theoretical reduction ratio, the recom-
When face mounting any gearhead, care must be taken mended input speed for continuous operation is divided
not to exceed the specified screw depth. Driving screws by the required output speed.
beyond this point will damage the gearhead. Gearheads
with metal housing can be mounted using a radial set Recommended max. input speed
iN =
required output speed
screw.
From the gearhead data sheet, a reduction ratio is selected
which is equal to or less than the calculated one.
42
Precision Gearheads
Technical Information
M · 100
Minput = ––––––– [mNm]
i·
The values of
Input speed ninput = 4 770 rpm
and
Input torque Minput = 1,26 mNm
are related to the motor calculation.
43
Precision Gearheads
Planetary Gearheads 1
Planetary Gearhead
7
1 Motor flange
2 Screws 8
3 Washer
4 Satellite gears 9
5 Planet carrier 10
6 Sun gear
7 Satellite gear shafts
8 Output shaft 11
9 Washer
10 Sintered bearing
11 Housing / ring gear 10
12 Retaining ring 9
12
Features Benefits
Their robust construction make the planetary gearheads, N Available in all plastic or metal versions
in combination with FAULHABER DC-Micromotors, ideal N Use of high performance materials
for high torque, high performance applications. N Available with a variety of shaft bearings including
sintered, ceramic, and ball bearings
In most cases, the geartrain of the input stage is made of
plastic to keep noise levels as low as possible at higher N Modified versions for extended temperature and special
environmental conditions are available
RPM‘s. All steel input gears as well as a modified lubri-
N Custom modifications available
cation are available for applications requiring very high
torque, vacuum, or higher temperature compatability.
44
Precision Gearheads
Spur Gearheads
3
4
5
6
Spur Gearhead
8
1 Housing
2 Screws
2
3 End plate
4 Intermediate plate
9
5 Gear wheel
6 Sleeve
7 Dowel pin 7
8 Output shaft
10
9 Front cover
11
10 Spacer ring
12
11 Ball bearing
13
12 Spring washer 14
13 Washer
14 Retaining ring
1 Motor pinion
2 Dual-pass geartrain
Product Code
input stage
3 Zero backlash preloaded
engagement
2 3 3 2
45
Precision Gearheads
Hybrid Gearheads
2
6
1
7
Hybrid Gearhead
1 Screw
2 End plate 10
3 Intermediate plate
Blind
4 Gear wheel
5
1 Sun
Blindgear 11
6
2 Satellite
Blind carrier
7
3 Satellite
Blind gear
8
8
4 Dowel
Blind pin
9
5 Pin
Blind 9
12
10
6 Support
Blind
13
11
7 Ball
Blindbearing 14
12 Ring gear 11
13 Housing
14 Spring washer 15
15 Output shaft
Features Benefits
Hybrid gearhead combine the smooth running input N Unique construction
stages of a spur gearhead with the power of a planetary N Combines the advantages of spur and planetary
output stage. For added power, the output shaft and gearhead technology in one unit
Product Code
46
Encoders
WE CREATE MOTION
47
Encoders
Technical Information
Notes on technical data
Lines per revolution (N)
The number of incremental encoder pulses per revolution Phase shift, channel A to B (&)
per channel. The phase shift in electrical degrees between the fol-
The output signal is a quadrature signal which means that lowing edge of output channel A and the leading edge
both the leading and following edge, or flank, can be of output channel B.
evaluated. For example, an encoder with two channels Phase shift tolerance (Δ&)
and 256 lines per revolution has 1024 edges, or flanks per Indicates the allowable position error, in electrical degrees,
revolution. between the following edge of channel A to the leading
Output signal edge of channel B.
The number of output channels. For example, the IE3
encoders offer 2 channels, A and B, plus an 1 additional
index channel.
pulse on channel A or B.
Typically one period is 360 °e.
C
P
Amplitude
A
S S S S
tr tf
Supply Voltage (UDD)
Defines the range of supply voltage necessary for the B
encoder to function properly.
48
Logic state width (S)
The distance measured in electrical degrees (°e) between
two neighbouring signal edges, for example the leading
edge of signal A to the leading edge of signal B.
Typically this has a value of 90 °e.
60 . f
n=
N
Line Driver
This is an integrated signal amplifier in the encoder that
makes it possible to send the encoder signals through
much longer connection cables. It is a differential
signal with complementary signals to all channels which
eliminates sensitivity to ambient electrical noise.
49
Optical Encoders
Technical Information
6
Optical Encoder
1 Output shaft
2 Motor
3 Code wheel
4 Adapter flange
5 Encoder PCB
6 End cap 7
7 Flex cable
Features Benefits
Optical encoders use a continuous infrared light source N Very low current
transmitting through a low-inertia multi-section rotor disk consumption
which is fitted directly on the motor rear end shaft. N Precise signal resolution
The unit thus generates two output signals with a 90° N Ideal for low voltage
battery operation
phase shift.
N Insensitive to magnetic
In optoreflective encoders, the light source is sent interference
and reflected back or alternately absorbed to create the N Extremely light and compact
Product Code
PA Encoder series
2 Number of Channels
PA 2 - 5 0
50 Resolution
50
Integrated Encoders
Technical Information
1
4 7
DC-Micromotor
with integrated Encoder 5
8
1 Shaft
2 Coil
3 Commutator
4 DC-Micromotor
5 Magnet wheel
6 Brush cover
7 Brushes
8 Flat cable
9
9 Encoder PCB
10 End cap
Features Benefits
10
Series IE2 encoders consist of a rotormounted magnetic N Highly compact design
toothed ring and a special hybrid circuit. N High resolution up to 2 048 steps per revolution
The magnetic field differences between the tip and base (corresponding to an angular resolution of 0,18°)
of each tooth are converted into electrical signals by a N No pull-up resistors across outputs because no
open-collector outputs
sensor integrated into the circuit.
N Symmetrical pulse edges, CMOS- and TTL -compatible
This signal is then processed by a proprietary circuit.
N Low power consumption
The output consists of two 90°-offset square-wave signals
N Available in many combinations
with up to 512 pulses.
IE Incremental Encoder
IE 2 – 5 1 2
2 Number of Channels
512 Resolution
51
Magnetic Encoders
Single Chip
1
Magnetic Encoder
Single Chip 7
1 Screws
2 Rear cover
3 Encoder PCB
8
4 Encoder flange
5 Screws
6 Motor flange
7 Sensor magnet
8 Motor Serie CR/CXR
Features Benefits
FAULHABER IE3 encoders are designed with a diametri- N Compact modular system
cally magnetized code wheel which is pressed onto the N A wide range of resolutions are available
motor shaft and provides the axial magnetic field to the N Index channel
encoder electronics. The electronics contain all the N Line Drivers are available
necessary functions of an encoder including Hall sensors, N Standardized encoder outuputs
interpolation, and driver. The Hall sensors sensed the N Ideal for combination with FAULHABER
rotational position of the sensor magnet and the signal is Motion Controllers and Speed Controllers
interpolated to provide a high resolution position signal. N Custom modifications including custom resolution,
index position and index pulse width are possible
The encoder signal is a two channel quadrature output
with a 90 °e phase shift between channels.
A third channel provides a single index pulse per revolu-
tion. These encoders are available as attachable kits Product Code
or preassembled to FAULHABER DC-Motors with graphite
commutation, or as integrated assemblies for many
FAULHABER Brushless DC-Servomotors.
IE Incremental Encoder
IE3 – 256 L
3 Number of Channels
256 Resolution
L with integrated Line Driver
52
DR. FRITZ FAULHABER
GMBH & CO. KG
Daimlerstraße 23/25
71101 Schönaich · Germany
Tel.: +49 (0) 7031 638 0
Fax: +49 (0) 7031 638 100
info@faulhaber.de
DFF_TI_03-2010_EN
www.faulhaber.com
53