L6258EX
PWM controlled
high current DMOS universal motor driver
Features
■
Able to drive both windings of a bipolar stepper
motor or two DC motors
■
Output current up to 1.5A each winding
■
Wide voltage range: 12V to 40V
■
Four quadrant current control, ideal for
microstepping and DC motor control
■
Precision PWM control
■
No need for recirculation diodes
■
TTL/CMOS compatible inputs
■
Cross conduction protection
■
Thermal shutdow
PowerSO36
Description
L6258EX is a dual full bridge for motor control
applications realized in BCD technology, with the
capability of driving both windings of a bipolar
stepper motor or bidirectionally control two DC
motors.
The power stage is a dual DMOS full bridge
capable of sustaining up to 40V, and includes the
diodes for current recirculation.The output current
capability is 1.5A per winding in continuous mode,
with peak start-up current up to 2A. A thermal
protection circuitry disables the outputs if the chip
temperature exceeds the safe limits.
L6258EX and a few external components form a
complete control and drive circuit. It has high
efficiency phase shift chopping that allows a very
low current ripple at the lowest current control
levels, and makes this device ideal for steppers as
well as for DC motors.
Table 1.
Device summary
Order code
Package
Packing
E-L6258EX
PowerSO36
Tube
E-L6258EXTR
PowerSO36
Tape&Reel
December 2007
Rev 6
1/32
www.st.com
1
Contents
L6258EX
Contents
1
Block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2
Functional description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
3
4
2.1
Reference voltage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2
Input logic (I0 - I1 - I2 - I3) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.3
Phase input ( PH ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.4
Triangular generator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.5
Charge pump circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.6
Current control loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.7
Current control loop compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
PWM current control loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.1
Open loop transfer function analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.2
Power amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
3.3
Load attenuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
3.4
Error amplifier and sense amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
3.5
Effect of the Bemf on the current control loop stability . . . . . . . . . . . . . . . 22
Application information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4.1
Interference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4.2
Motor selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4.3
Unused inputs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4.4
Notes on PCB design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5
Operation mode time diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
6
Package information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
7
Revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
2/32
L6258EX
List of tables
List of tables
Table 1.
Table 2.
Table 3.
Table 4.
Table 5.
Table 6.
Table 7.
Device summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Absolute maximum rating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Pin functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Electrical characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Current levels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Charge pump capacitor's values. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Document revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
3/32
List of figures
L6258EX
List of figures
Figure 1.
Figure 2.
Figure 3.
Figure 4.
Figure 5.
Figure 6.
Figure 7.
Figure 8.
Figure 9.
Figure 10.
Figure 11.
Figure 12.
Figure 13.
Figure 14.
Figure 15.
4/32
Block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Pin connection (top view) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Thermal characteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Power bridge configuration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Current control loop block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Output comparator waveforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Ax bode plot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Aloop bode plot (uncompensated) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Aloop bode plot (compensated) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Electrical model of the load. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Typical application circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Full step operation mode timing diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Half step operation mode timing diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
4 bit microstep operation mode timing diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
PowerSO36 mechanical data & package dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
L6258EX
Block diagram
1
Block diagram
Figure 1.
Block diagram
R1 1M
VCP2
CP
VCP1
EA_IN1
TRI_0
VR
+
INPUT
&
SENSE
AMP
I3_1
I1_1
DAC
VS
EA_OUT1
CHARGE
PUMP
VREF1
I2_1
CBOOT
CC1
RC1
TRI_180
-
+
-
ERROR
AMP
+
-
VBOOT
OUT1A
C
POWER
BRIDGE
1
C
OUT1B
SENSE1B
Rs
I0_1
PH_1
VDD(5V)
SENSE1A
DISABLE
THERMAL
PROT.
VR (VDD/2)
VR GEN
VS
VREF1
VR
I3_2
I2_2
I1_2
INPUT
&
SENSE
AMP
DAC
I0_2
+
ERROR
AMP
+
-
-
+
PH_2
TRI_CAP
TRI_0
TRI_180
-
OUT2A
C
C
POWER
BRIDGE
2
OUT2B
SENSE2B
Rs
TRI_0
TRIANGLE
GENERATOR
TRI_180
CFREF
SENSE2A
GND
EA_IN2
EA_OUT2
D96IN430D
RC2
CC2
R2 1M
Table 2.
Absolute maximum rating
Parameter
Vs
VDD
Vref1/Vref2
Description
Value
Unit
Supply voltage
45
V
Logic supply voltage
7
V
2.5
V
2
A
1.5
A
-0.3 to 7
V
Bootstrap supply
60
V
Maximum Vgate applicable
15
V
Junction temperature
150
°C
-55 to 150
°C
Reference voltage
(peak)(1)
IO
Output current
IO
Output current (continuous)
Vin
Logic input voltage range
Vboot
Vboot - Vs
Tj
Tstg
Storage temperature range
1. This current is intended as not repetitive current for max. 1 second.
5/32
Block diagram
L6258EX
Figure 2.
Pin connection (top view)
PWR_GND
1
36
PWR_GND
PH_1
2
35
SENSE1
I1_1
3
34
OUT1B
I0_1
4
33
I3_1
OUT1A
5
32
I2_1
DISABLE
6
31
VS
TRI_CAP
7
30
EA_OUT1
VCC
8
29
EA_IN1
GND
9
28
VREF1
VCP1
10
27
SIG_GND
VCP2
11
26
VREF2
VBOOT
12
25
EA_IN2
VS
13
24
EA_OUT2
OUT2A
14
23
I2_2
I0_2
15
22
I3_2
I1_2
16
21
OUT2B
PH_2
17
20
SENSE2
PWR_GND
18
19
PWR_GND
D96IN432E
Table 3.
6/32
Pin functions
Pin #
Name
Description
1, 36
PWR_GND
Ground connection (1). They also conduct heat from die to
printed circuit copper.
2, 17
PH_1, PH_2
These TTL compatible logic inputs set the direction of
current flow through the load. A high level causes current to
flow from OUTPUT A to OUTPUT B.
3
I1_1
Logic input of the internal DAC (1). The output voltage of the
DAC is a percentage of the Vref voltage applied according to
the thruth Table 5 on page 12.
4
I0_1
See pin 3
5
OUT1A
6
DISABLE
Disables the bridges for additional safety during switching.
When not connected the bridges are enabled
7
TRI_cap
Triangular wave generation circuit capacitor. The value of
this capacitor defines the output switching frequency
Bridge output connection (1)
L6258EX
Block diagram
Table 3.
Pin #
Name
8
VDD (5V)
9
GND
Power ground connection of the internal charge pump circuit
10
VCP1
Charge pump oscillator output
11
VCP2
Input for external charge pump capacitor
12
VBOOT
13, 31
VS
14
OUT2A
15
I0_2
Logic input of the internal DAC (2). The output voltage of the
DAC is a percentage of the VRef voltage applied according
to the truth Table 5 on page 12.
16
I1_2
See pin 15
18, 19
PWR_GND
20, 35
Note:
Pin functions (continued)
Description
Supply voltage input for logic circuitry
Overvoltage input for driving of the upper DMOS
Supply voltage input for output stage. They are shorted
internally
Bridge output connection (2)
Ground connection. They also conduct heat from die to
printed circuit copper
SENSE2, SENSE1 Negative input of the transconductance input amplifier (2, 1)
Bridge output connection and positive input of the
tranconductance (2)
21
OUT2B
22
I3_2
See pin 15
23
I2_2
See pin 15
24
EA_OUT_2
25
EA_IN_2
26, 28
VREF2, VREF1
27
SIG_GND
Signal ground connection
29
EA_IN_1
Negative input of error amplifier (1)
30
EA_OUT_1
32
I2_1
See pin 3
33
I3_1
See pin 3
34
OUT1B
Error amplifier output (2)
Negative input of error amplifier (2)
Reference voltages for the internal DACs, determining the
output current value. Output current also depends on the
logic inputs of the DAC and on the sensing resistor value
Error amplifier output (1)
Bridge output connection and positive input of the
tranconductance (1)
The number in parenthesis shows the relevant Power Bridge of the circuit. Pins 18, 19, 1
and 36 are connected together.
7/32
Block diagram
L6258EX
Figure 3.
Thermal characteristics
Power Dissipated T Ambient Thermal J-A resistance
(W)
(˚C)
(˚C/W)
Conditions
5.3
70
15
4.0
70
20
2.3
70
35
pad layout + ground layers + 16 via hol
PCB ref.: 4 LAYER cm 12 x 12
pad layout + ground layers
PCB ref.: 4 LAYER cm 12 x 12
pad layout + 6cm2 on board heat sink
PCB ref.: 2 LAYER cm 12 x 12
D02IN1370
12
Power Dissipated (W)
10
15˚C/W
8
20˚C/W
6
35˚C/W
4
2
0
Table 4.
Parameter
VS
VDD
8/32
0
20
40
60
80
100
120
Ambient Temperature (˚C)
140
160
D02IN1371
Electrical characteristics
(VS = 40V; VDD = 5V; Tj = 25°; unless otherwise specified.)
Description
Test condition
Supply voltage
Logic supply voltage
Min.
Typ.
Max.
Unit
12
40
V
4.75
5.25
V
VS+6
VS+12
V
1.25
V
VBOOT
Storage voltage
VSense
Max drop across sense
resistor
VS(off)
Power off reset
Off threshold
6
7.2
V
VDD(off)
Power off reset
Off threshold
3.3
4.1
V
VS = 12 to 40V
IS(on)
VS quiescent current
Both bridges ON, no load
15
mA
IS(off)
VS quiescent current
Both bridges OFF
7
mA
IDD
VDD operative current
15
mA
L6258EX
Block diagram
Table 4.
Electrical characteristics (continued)
(VS = 40V; VDD = 5V; Tj = 25°; unless otherwise specified.)
Parameter
ΔTSD-H
Description
Test condition
Min.
Typ.
Max.
Unit
Shut down hysteresis
25
°C
TSD
Thermal shutdown
150
°C
fosc
Triangular oscillator
frequency(1)
CFREF = 1nF
12.5
15
18.5
KHz
500
μA
TRANSISTORS
IDSS
Rds(on)
Vf
Leakage current
OFF State
On resistance
ON state
0.6
0.75
W
Flywheel diode voltage
If =1.0A
1
1.4
V
CONTROL LOGIC
Vin(H)
lnput voltage
All Inputs
2
VDD
V
Vin(L)
Input voltage
All inputs
0
0.8
V
-150
+10
μA
-10
+150
μA
Iin
Idis
Input current (2)
Disable pin input
current
0 < Vin < 5V
Vref1/ref2
Reference voltage
Operating
0
2.5
V
Iref
Vref terminal input
current
Vref = 1.25
-2
5
μA
FI =
Vref/Vsense
PWM loop transfer
ratio
VFS
Voffset
2
DAC full scale
precision
Vref = 2.5V I0/I1/I2/I3 = L
1.23
1.34
V
Current loop offset
Vref = 2.5V I0/I1/I2/I3 = H
-40
+40
mV
DAC factor ratio
Normalized @ full scale
value
-2
+2
%
-0.7
VS+0.7
V
-200
0
μA
SENSE AMPLIFIER
Vcm
lnput common mode
voltage range
Iinp
Input bias
sense1/sense2
ERROR AMPLIFIER
GV
Open loop voltage gain
SR
Output slew rate
GBW
Gain bandwidth
product
Open loop
70
dB
0.2
V/μs
400
kHz
1. Chopping frequency is twice fosc value.
2. This is true for all the logic inputs except the disable input.
9/32
Functional description
2
L6258EX
Functional description
The circuit is intended to drive both windings of a bipolar stepper motor or two DC motors.
The current control is generated through a switch mode regulation.
With this system the direction and the amplitude of the load current are depending on the
relation of phase and duty cycle between the two outputs of the current control loop.
The L6258EX power stage is composed by power DMOS in bridge configuration as it is
shown in Figure 4, where the bridge outputs OUT_A and OUT_B are driven to Vs with an
high level at the inputs IN_A and IN_B while are driven to ground with a low level at the
same inputs.
The zero current condition is obtained by driving the two half bridge using signals IN_A and
IN_B with the same phase and 50% of duty cycle.
In this case the outputs of the two half bridges are continuously switched between power
supply (Vs) and ground, but keeping the differential voltage across the load equal to zero.
In Figure 4 is shown the timing diagram of the two outputs and the load current for this
working condition.
Following we consider positive the current flowing into the load with a direction from OUT_A
to OUT_B, while we consider negative the current flowing into load with a direction from
OUT_B to OUT_A.
Now just increasing the duty cycle of the IN_A signal and decreasing the duty cycle of IN_B
signal we drive positive current into the load.
In this way the two outputs are not in phase, and the current can flow into the load trough the
diagonal bridge formed by T1 and T4 when the output OUT_A is driven to Vs and the output
OUT_B is driven to ground, while there will be a current recirculation into the higher side of
the bridge, through T1 and T2, when both the outputs are at Vs and a current recirculation
into the lower side of the bridge, through T3 and T4, when both the outputs are connected to
ground.
Since the voltage applied to the load for recirculation is low, the resulting current discharge
time constant is higher than the current charging time constant during the period in which
the current flows into the load through the diagonal bridge formed by T1 and T4. In this way
the load current will be positive with an average amplitude depending on the difference in
duty cycle of the two driving signals.
In Figure 4 is shown the timing diagram in the case of positive load current
On the contrary, if we want to drive negative current into the load is necessary to decrease
the duty cycle of the IN_A signal and increase the duty cycle of the IN_B signal. In this way
we obtain a phase shift between the two outputs such to have current flowing into the
diagonal bridge formed by T2 and T3 when the output OUT_A is driven to ground and
output OUT_B is driven to Vs, while we will have the same current recirculation conditions of
the previous case when both the outputs are driven to Vs or to ground.
So, in this case the load current will be negative with an average amplitude always
depending by the difference in duty cycle of the two driving signals.
In Figure 4 is shown the timing diagram in the case of negative load current.
Figure 5 shows the device block diagram of the complete current control loop.
10/32
L6258EX
2.1
Functional description
Reference voltage
The voltage applied to VREF pin is the reference for the internal DAC and, together with the
sense resistor value, defines the maximum current into the motor winding according to the
following relation:
0,5 ⋅ V REF
1 V REF
I MAX = ----------------------------- = ----- ⋅ -------------FI
R
R
S
S
where Rs = sense resistor value
Figure 4.
Power bridge configuration
VS
IN_A
IN_B
T1
OUT_A
T3
T2
LOAD
OUT_B
T4
OUTA
OUTB
Fig. 4A
Iload
0
OUTA
OUTB
Fig. 4B
Iload
0
OUTA
OUTB
Fig. 4C
0
Iload
D97IN624
11/32
Functional description
Figure 5.
L6258EX
Current control loop block diagram
POWER AMPL.
VS
OUTA
Tri_0
RL
INPUT TRANSCONDUCTANCE
ERROR AMPL.
AMPL.
VS
+
-
ia
RS
-
I0
I1
+
LL
VR
VREF
ic
+
DAC
-
Rc
OUTB
Cc
I3
PH
+
Tri_180
VDAC
I2
ib
Gin=1/Ra
VSENSE
+
D97IN625
Gs=1/Rb
SENSE TRANSCONDUCTANCE
AMPL.
2.2
Input logic (I0 - I1 - I2 - I3)
The current level in the motor winding is selected according to this table:
Table 5.
12/32
LOAD
-
Current levels
Current level
I3
I2
I1
I0
H
H
H
H
No Current
H
H
H
L
9.5
H
H
L
H
19.1
H
H
L
L
28.6
H
L
H
H
38.1
H
L
H
L
47.6
H
L
L
H
55.6
H
L
L
L
63.5
L
H
H
H
71.4
L
H
H
L
77.8
L
H
L
H
82.5
% of IMAX
L6258EX
Functional description
Table 5.
2.3
Current levels (continued)
Current level
I3
I2
I1
I0
L
H
L
L
88.9
L
L
H
H
92.1
L
L
H
L
95.2
L
L
L
H
98.4
L
L
L
L
100
% of IMAX
Phase input ( PH )
The logic level applied to this input determines the direction of the current flowing in the
winding of the motor.
High level on the phase input causes the motor current flowing from OUT_A to OUT_B
through the load.
2.4
Triangular generator
This circuit generates the two triangular waves TRI_0 and TRI_180 internally used to
generate the duty cycle variation of the signals driving the output stage in bridge
configuration.
The frequency of the triangular wave defines the switching frequency of the output, and can
be adjusted by changing the capacitor connected at TR1_CAP pin:
KF ref = --C
where: K = 1.5 x 10-5
2.5
Charge pump circuit
To ensure the correct driving of the high side drivers a voltage higher than Vs is supplied on
the Vboot pin. This boostrap voltage is not needed for the low side power DMOS transistors
because their sources terminals are grounded. To produce this voltage a charge pump
method is used. It is made by using two external capacitors; one connected to the internal
oscillator (CP) and the other (Cboot) to storage the overvoltage needed for the driving the
gates of the high side DMOS. The value suggested for the capacitors are:
Table 6.
Charge pump capacitor's values
Component name
Component's function
Value
Unit
Cboot
Storage capacitor
100
nF
CP
Pump capacitor
10
nF
13/32
Functional description
2.6
L6258EX
Current control loop
The current control loop is a transconductance amplifier working in PWM mode.
The motor current is a function of the programmed DAC voltage.
To keep under control the output current, the current control modulates the duty cycle of the
two outputs OUT_A and OUT_B, and a sensing resistor Rs is connected in series with the
motor winding in order to produce a voltage feedback compared with the programmed
voltage of the DAC.
The duty cycle modulation of the two outputs is generated comparing the voltage at the
outputs of the error amplifier, with the two triangular wave references.
In order to drive the output bridge with the duty cycle modulation explained before, the
signals driving each output (OUTA & OUTB) are generated by the use of the two
comparators having as reference two triangular wave signals Tri_0 and Tri_180 of the same
amplitude, the same average value (in our case Vr), but with a 180° of phase shift each
other.
The two triangular wave references are respectively applied to the inverting input of the first
comparator and to the non inverting input of the second comparator.
The other two inputs of the comparators are connected together to the error amplifier output
voltage resulting by the difference between the programmed DAC. The reset of the
comparison between the mentioned signals is shown in Figure 6.
Figure 6.
Output comparator waveforms
Tri_0
Error Ampl.
Output
Tri_180
First Comp.
Output
Second Comp.
Output
In the case of VDAC equal to zero, the transconductance loop is balanced at the value of Vr,
so the outputs of the two comparators are signals having the same phase and 50% of duty
cycle.
As we have already mentioned, in this situation, the two outputs OUT_A and OUT_B are
simultaneously driven from Vs to ground; and the differential voltage across the load in this
case is zero and no current flows in the motor winding.
14/32
L6258EX
Functional description
With a positive differential voltage on VDAC (see Figure 5, the transconductance loop will be
positively unbalanced respected Vr.
In this case being the error amplifier output voltage greater than Vr, the output of the first
comparator is a square wave with a duty cycle higher than 50%, while the output of the
second comparator is a square wave with a duty cycle lower than 50%.
The variation in duty cycle obtained at the outputs of the two comparators is the same, but
one is positive and the other is negative with respect to the 50% level.
The two driving signals, generated in this case, drive the two outputs in such a way to have
switched current flowing from OUT_A through the motor winding to OUT_B.
With a negative differential voltage VDAC, the transconductance loop will be negatively
unbalanced respected Vr.
In this case the output of the first comparator is a square wave with a duty cycle lower than
50%, while the output of the second comparator is a square wave with a duty cycle higher
than 50%.
The variation in the duty cycle obtained at the outputs of the two comparators is always of
the same.
The two driving signals, generated in this case, drive the the two outputs in order to have the
switched current flowing from OUT_B through the motor winding to OUT_A.
2.7
Current control loop compensation
In order to have a flexible system able to drive motors with different electrical characteristics,
the non inverting input and the output of the error amplifier ( EA_OUT ) are available.
Connecting at these pins an external RC compensation network it is possible to adjust the
gain and the bandwidth of the current control loop.
15/32
PWM current control loop
L6258EX
3
PWM current control loop
3.1
Open loop transfer function analysis
Block diagram: refer to Figure 5.
Input parameters:
●
VS = 24V
●
LL = 12mH
●
RL = 12Ω
●
RS = 0.33Ω
●
RC = to be calculated
●
CC = to be calculated
●
Gs transconductance gain = 1/Rb
●
Gin transconductance gain = 1/Ra
●
Ampl. of the Tria_0_180 ref. = 1.6V (peak to peak)
●
Ra = 40KΩ
●
Rb = 20KΩ
●
Vr = Internal reference equal to VDD/2 (Typ. 2.5V)
these data refer to a typical application, and will be used as an example during the analysis
of the stability of the current control loop.
The block diagram shows the schematics of the L6258EX internal current control loop
working in PWM mode; the current into the load is a function of the input control voltage
VDAC , and the relation between the two variables is given by the following formula:
ILOAD · RS · GS = VDAC · Gin
1
1
I LOAD ⋅ R S ⋅ ------- = V DAC ⋅ ------Ra
Rb
Rb
V DAC
I LOAD = V DAC ⋅ ---------------------- = 0,5 ⋅ --------------- ( A )
Ra ⋅ Rs
RS
where:
VDAC
is the control voltage defining the load current value
Gin
is the gain of the input transconductance amplifier ( 1/Ra )
Gs
is the gain of the sense transconductance amplifier ( 1/Rb )
Rs
is the resistor connected in series to the output to sense the load current
In this configuration the input voltage is compared with the feedback voltage coming from
the sense resistor, then the difference between this two signals is amplified by the error
amplifier in order to have an error signal controlling the duty cycle of the output stage
keeping the load current under control.
It is clear that to have a good performance of the current control loop, the error amplifier
must have an high DC gain and a large bandwidth.
16/32
L6258EX
PWM current control loop
Gain and bandwidth must be chosen depending on many parameters of the application, like
the characteristics of the load, power supply etc..., and most important is the stability of the
system that must always be guaranteed.
To have a very flexible system and to have the possibility to adapt the system to any
application, the error amplifier must be compensated using an RC network connected
between the output and the negative input of the same.
For the evaluation of the stability of the system, we have to consider the open loop gain of
the current control loop:
Aloop = ACerr · ACpw · ACload · ACsense
where AC... is the gain of the blocks that refers to the error, power and sense amplifier plus
the attenuation of the load block.
The same formula in dB can be written in this way:
AloopdB = ACerrdB + ACpwdB + ACloaddB + ACsensedB
So now we can start to analyse the dynamic characteristics of each single block, with
particular attention to the error amplifier.
3.2
Power amplifier
The power amplifier is not a linear amplifier, but is a circuit driving in PWM mode the output
stage in full bridge configuration.
The output duty cycle variation is given by the comparison between the voltage of the error
amplifier and two triangular wave references Tri_0 and Tri_180. Because all the current
control loop is referred to the Vr reference, the result is that when the output voltage of the
error amplifier is equal to the Vr voltage the two output Out_A and Out_B have the same
phase and duty cycle at 50%; increasing the output voltage of the error amplifier above the
Vr voltage, the duty cycle of the Out_A increases and the duty cycle of the Out_B decreases
of the same percentage; on the contrary decreasing the voltage of the error amplifier below
the Vr voltage, the duty cycle of the Out_A decreases and the duty cycle of the Out_B
increases of the same percentage.
The gain of this block is defined by the amplitude of the two triangular wave references;
more precisely the gain of the power amplifier block is a reversed proportion of the
amplitude of the two references.
In fact a variation of the error amplifier output voltage produces a larger variation in duty
cycle of the two outputs Out_A and Out_B in case of low amplitude of the two triangular
wave references.
The duty cycle has the max value of 100% when the input voltage is equal to the amplitude
of the two triangular references.
The transfer function of this block consist in the relation between the output duty cycle and
the amplitude of the triangular references.
Vout = 2 · VS · (0.5 - DutyCycle)
ΔV out
2 ⋅ VS
ACpw dB = 20 ⋅ log ---------------- = ------------------------------------------------------ΔV in
Triangular Amplitude
17/32
PWM current control loop
L6258EX
ACpw
dB
2 ⋅ 24
= 20 ⋅ log ----------------- = 29,5dB
1,6
Moreover, having the two references Tri_0 and Tri_180 a triangular shape it is clear that the
transfer function of this block is a linear constant gain without poles and zeros.
3.3
Load attenuation
The load block is composed by the equivalent circuit of the motor winding (resistance and
inductance) plus the sense resistor.
We will considered the effect of the Bemf voltage of the motor in the next chapter.
The input of this block is the PWM voltage of the power amplifier and as output we have the
voltage across the sense resistor produced by the current flowing into the motor winding.
The relation between the two variable is:
V out
V sense = ---------------------- ⋅ R S
RL + RS
so the gain of this block is:
V sense
RS
ACload = --------------------- = ---------------------v out
RL + RS
RS
ACload dB = 20 ⋅ log ---------------------RL + RS
0,33
Aload dB = 20 ⋅ log ------------------------ = – 31,4dB
12 + 0,33
where:
RL = equivalent resistance of the motor winding
RS = sense resistor
Because of the inductance of the motor LL, the load has a pole at the frequency:
1
Fpole = ----------------------------------LL
2π ⋅ --------------------RL + RS
1
Fpole = ---------------------------------------------- = 163Hz
–3
12 ⋅ 10
6,28 ⋅ --------------------------12 + 0,33
18/32
L6258EX
PWM current control loop
Before analysing the error amplifier block and the sense transconductance block, we have to
do this consideration:
AloopdB = AxdB + BxdB
Ax|dB = ACpw|dB + ACload|dB
and
Bx|dB = ACerr|dB + ACsense|dB
this means that Ax|dB is the sum of the power amplifier and load blocks;
Ax|dB = (29,5) + (-31.4) = -1.9dB
The BODE analysis of the transfer function of Ax is:
Figure 7.
Ax bode plot
The Bode plot of the Ax|dB function shows a DC gain of -1.9dB and a pole at 163Hz.
It is clear now that (because of the negative gain of the Ax function), Bx function must have
an high DC gain in order to increment the total open loop gain increasing the bandwidth too.
3.4
Error amplifier and sense amplifier
As explained before the gain of these two blocks is:
BxdB = ACerrdB + ACsensedB
Being the voltage across the sense resistor the input of the Bx block and the error amplifier
voltage the output of the same, the voltage gain is given by:
1
ib = Vsense ⋅ Gs = Vsense ⋅ -------Rb
19/32
PWM current control loop
L6258EX
1
Verr_out = -(ic · Zc) so ic = -(Verr_out · ------- )
Zc
because ib = icwe have:
Vsense ·
11
------= -(Verr_out · ------- )
Rb
Zc
Verr_out
Zc
Bx = – ------------------------ = – -------Vsense
Rb
In the case of no external RC network is used to compensate the error amplifier, the typical
open loop transfer function of the error plus the sense amplifier is something with a gain
around 80dB and a unity gain bandwidth at 400kHz. In this case the situation of the total
transfer function Aloop, given by the sum of the AxdB and BxdB is:
Figure 8.
Aloop bode plot (uncompensated)
The BODE diagram shows together the error amplifier open loop transfer function, the Ax
function and the resultant total Aloop given by the following equation:
AloopdB = AxdB + BxdB
The total Aloop has an high DC gain of 78.1dB with a bandwidth of 15KHz, but the problem
in this case is the stability of the system; in fact the total Aloop cross the zero dB axis with a
slope of -40dB/decade.
Now it is necessary to compensate the error amplifier in order to obtain a total Aloop with an
high DC gain and a large bandwidth. Aloop must have enough phase margin to guarantee
the stability of the system.
A method to reach the stability of the system, using the RC network showed in the block
diagram, is to cancel the load pole with the zero given by the compensation of the error
amplifier.
The transfer function of the Bx block with the compensation on the error amplifier is:
20/32
L6258EX
PWM current control loop
1
Rc – j -----------------------------2π ⋅ f ⋅ Cc
Zc
Bx = – -------- = – ---------------------------------------------Rb
Rb
In this case the Bx block has a DC gain equal to the open loop and equal to zero at a
frequency given by the following formula:
1
Fzero = -----------------------------------2π ⋅ Rc ⋅ Cc
In order to cancel the pole of the load, the zero of the Bx block must be located at the same
frequency of 163Hz; so now we have to find a compromise between the resistor and the
capacitor of the compensation network.
Considering that the resistor value defines the gain of the Bx block at the zero frequency, it
is clear that this parameter will influence the total bandwidth of the system because,
annulling the load pole with the error amplifier zero, the slope of the total transfer function is
-20dB/decade.
So the resistor value must be chosen in order to have an error amplifier gain enough to
guarantee a desired total bandwidth.
In our example we fix at 35dB the gain of the Bx block at zero frequency, so from the
formula:
where: Rb = 20kΩ
Rc
Bx_gain @ zero freq. = 20 ⋅ log -------Rb
we have: Rc = 1.1MΩ
Therefore we have the zero with a 163Hz the capacitor value:
1
1
Cc = --------------------------------------------= ---------------------------------------------------------------- = 880pF
2π ⋅ Fzero ⋅ Rc
–6
6,28 ⋅ 163 ⋅ 1,1 ⋅ 10
Now we have to analyse how the new Aloop transfer function with a compensation network
on the error amplifier is.
The following bode diagram shows:
–
the Ax function showing the position of the load pole
–
the open loop transfer function of the Bx block
–
the transfer function of the Bx with the RC compensation network on the error
amplifier
–
the total Aloop transfer function that is the sum of the Ax function plus the transfer
function of the compensated Bx block.
21/32
PWM current control loop
Figure 9.
L6258EX
Aloop bode plot (compensated)
We can see that the effect of the load pole is cancelled by the zero of the Bx block ; the total
Aloop cross a the 0dB axis with a slope of -20dB/decade, having in this way a stable system
with an high gain at low frequency and a bandwidth of around 8KHz.
To increase the bandwidth of the system, we should increase the gain of the Bx block,
keeping the zero in the same position. In this way the result is a shift of the total Aloop
transfer function up to a greater value.
3.5
Effect of the Bemf on the current control loop stability
In order to evaluate what is the effect of the Bemf voltage of the stepper motor we have to
look at the load block:
22/32
L6258EX
PWM current control loop
Figure 10. Electrical model of the load
OUT+
Bemf
R
L
L
L
R
S
to Sense
Amplifier
OUT-
The schematic now shows the equivalent circuit of the stepper motor including a sine wave
voltage generator of the Bemf. The Bemf voltage of the motor is not constant, its value
changes depending on the speed of the motor.
Increasing the motor speed the Bemf voltage increases:
Bemf = Kt · ω
where:
Kt is the motor constant
ω is the motor speed in radiant per second
The formula defining the gain of the load considering the Bemf of the stepper motor
becomes:
RS
( V S – Bemf ) ⋅ ---------------------RL + RS
Vsense
ACload = --------------------- = ---------------------------------------------------------------Vout
VS
V S – Bemf
RS
Acload = ----------------------------- ⋅ ---------------------VS
RL + RS
RS ⎞
⎛ V S – Bemf
ACload dB = 20 ⋅ log ⎜ ----------------------------- ⋅ ----------------------⎟
VS
R L + R S⎠
⎝
we can see that the Bemf influences only the gain of the load block and does not introduce
any other additional pole or zero, so from the stability point of view the effect of the Bemf of
the motor is not critical because the phase margin remains the same.
Practically the only effect of the Bemf is to limit the gain of the total Aloop with a consequent
variation of the bandwidth of the system.
23/32
Application information
4
L6258EX
Application information
A typical application circuit is shown in Figure 11.
Note:
For avoid current spikes on falling edge of DISABLE a "DC feedback" would be added to the
ERROR Amplifier. (R1-R2 on Figure 11).
4.1
Interference
Due to the fact that the circuit operates with switch mode current regulation, to reduce the
effect of the wiring inductance a good capacitor (100nF) can be placed on the board near
the package, between the power supply line (pin 13,31) and the power ground (pin
1,36,18,19) to absorb the small amount of inductive energy.
It should be noted that this capacitor is usually required in addition to an electrolytic
capacitor, that has poor performance at the high frequencies, always located near the
package, between power supply voltage (pin 13,31) and power ground (pin 1,36,18,19), just
to have a current recirculation path during the fast current decay or during the phase
change.
The range value of this capacitor is between few µF and 100µF, and it must be chosen
depending on application parameters like the motor inductance and load current amplitude.
A decoupling capacitor of 100nF is suggested also between the logic supply and ground.
The EA_IN1 and EA_IN2 pins carry out high impedance lines and care must be taken to
avoid coupled noise on this signals. The suggestion is to put the components connected to
this pins close to the L6258EX, to surround them with ground tracks and to keep as far as
possible fast switching outputs of the device. Remember also an 1 Mohm resistor between
EA_INx and EA_OUTx to avoid output current spike during supply startup/shutdown.
A non inductive resistor is the best way to implement the sensing. Whether this is not
possible, some metal film resistor of the same value can be paralleled.
The two inputs for the sensing of the winding motor current (SENSE_A & SENSE_B) should
be connected directly on the sensing resistor Rs terminals, and the path lead between the
Rs and the two sensing inputs should be as short as possible.
Note:
24/32
Connect the DISABLE pin to a low impedance (< 300 Ω ) voltage source to reduce at
minimum the interference on the output current due to capacitive coupling of OUT1A (pin5)
and DISABLE (pin 6).
L6258EX
Application information
Figure 11. Typical application circuit
VCP1
10nF
VCP2
VBOOT
100nF
VS
VS
TRI_CAP
0.33
10
21
20
11
I0_1
I1_1
I2_1
I3_1
PH2
I0_2
I1_2
I2_2
I3_2
DISABLE
14
13,31
35
34
L6258EX
5
PWSSO36
PACKAGE
9
2
4
3
1,36
18,19
32
33
17
8
15
27
16
23
28
22
EA_IN1
STEPPER
MOTOR
OUT2A
12mH 10Ω
SENSE1
0.33
7
6
SENSE2
M
12
1nF
PH1
OUT2B
26
29
30
EA_OUT1
1M
820pF
25
EA_IN2
24
OUT1B
OUT1A
GND
PWR_GND
VDD
VDD(5V)
SIG_GND
VREF
VREF1
VREF2
EA_OUT2
1M
820pF
D97IN626EX
R1 1M
4.2
R2 1M
Motor selection
Some stepper motor have such high core losses that they are not suitable for switch mode
current regulation. Furthermore, some stepper motors are not designed for continuous
operating at maximum current. Since the circuit can drive a constant current through the
motor, its temperature might exceed, both at low and high speed operation.
4.3
Unused inputs
Unused inputs should be connected to the proper voltage levels in order to get the highest
noise immunity.
25/32
Application information
4.4
L6258EX
Notes on PCB design
We recommend to observe the following layout rules to avoid application problems with
ground and anomalous recirculation current.
The by-pass capacitors for the power and logic supply must be kept as near as possible to
the IC.
It's important to separate on the PCB board the logic and power grounds and the internal
charge pump circuit ground avoiding that ground traces of the logic signals cross the ground
traces of the power signals.
Because the IC uses the board as a heat sink, the dissipating copper area must be sized in
accordance with the required value of Rthj-amb.
26/32
L6258EX
5
Operation mode time diagrams
Operation mode time diagrams
Figure 12. Full step operation mode timing diagram
(Phase - DAC input and motor current)
Position
0
1
2
3
0
1
2
3
FULL Step Vector
0
5V
Phase
1
Ph1
0
5V
Phase
2
1
0
0
5V
I0_1
0
Ph2
Ph2
5V
I1_1
0
DAC 1
Inputs
2
5V
3
I2_1
0
Ph1
5V
I3_1
0
5V
I3
I2
I1
I0
Current
level% of IMAX
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
100
98.4
95.2
92.1
88.9
82.5
77.8
71.4
63.5
55.6
47.6
38.1
28.6
19.1
9.5
No Current
I0_2
0
DAC 2
Inputs
5V
I1_2
0
5V
I2_2
0
I3_2
0
95.2%
Motor drive
Current 1
19.1%
0
95.2%
Motor drive
Current 2
19.1%
0
D97IN629A
27/32
Operation mode time diagrams
L6258EX
Figure 13. Half step operation mode timing diagram
(Phase - DAC input and motor current)
0
1
2
3
4
5
6
7
5V
0
5V
0
Phase 1
Phase 2
Half Step Vector
Ph1
I0_1
DAC 1
Inputs
I1_1
I2_1
I3_1
I0_2
DAC 2
Inputs
I1_2
I2_2
I3_2
5V
0
5V
0
5V
0
5V
0
2
3
1
Ph2 4
0
5V
0
5V
0
5V
0
5V
0
5
Ph2
7
6
Ph1
100%
71.4%
0
Motor drive
Current 1
-71.4%
-100%
100%
71.4%
Motor drive
Current 2
0
-71.4%
-100%
28/32
D97IN627C
I3
I2
I1
I0
Current
level% of IMAX
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
100
98.4
95.2
92.1
88.9
82.5
77.8
71.4
63.5
55.6
47.6
38.1
28.6
19.1
9.5
No Current
L6258EX
Operation mode time diagrams
Figure 14. 4 bit microstep operation mode timing diagram
(Phase - DAC input and motor current)
Position
0
4
Micro Step Vector
8 12 16 20 24 28 32 36 40 44 48 52 56 60 64
5V
Ph1
16
0
Phase
1
5V
24
8
0
Phase
5V
2
I0_1
0
Ph2 32
0
Ph2
5V
I1_1
0
DAC 1
Inputs
40
5V
56
I2_1
48
0
Ph1
5V
I3_1
0
5V
I0_2
0
DAC 2
Inputs
5V
I3
I2
I1
I0
Current
level% of IMAX
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
100
98.4
95.2
92.1
88.9
82.5
77.8
71.4
63.5
55.6
47.6
38.1
28.6
19.1
9.5
No Current
I1_2
0
5V
I2_2
0
I3_2
0
Motor drive
Current 1
0
Motor drive 0
Current 2
100%
95.2%
82.5%
63.5%
47.6%
38.1%
19.1%
0%
D97IN628A
29/32
Package information
6
L6258EX
Package information
In order to meet environmental requirements, ST offers these devices in ECOPACK®
packages. These packages have a Lead-free second level interconnect. The category of
second Level Interconnect is marked on the package and on the inner box label, in
compliance with JEDEC Standard JESD97. The maximum ratings related to soldering
conditions are also marked on the inner box label.
ECOPACK is an ST trademark. ECOPACK specifications are available at: www.st.com.
Figure 15. PowerSO36 mechanical data & package dimensions
DIM.
mm
MIN.
TYP.
A
a1
inch
MAX.
MIN.
TYP.
3.60
0.10
0.30
a2
MAX.
0.1417
0.0039
0.0118
3.30
0.1299
a3
0
0.10
b
0.22
0.38
0.0087
c
0.23
0.32
0.0091
0.0126
D
15.80
16.00 0.6220
0.6299
D1
9.40
9.80
0.3701
0.3858
E
13.90
14.5
0.5472
0.5709
E1
10.90
11.10 0.4291
0.4370
2.90
0.1142
E2
E3
5.80
e
0.0039
0
H
15.50
h
0.8
0.2441
0.0256
11.05
G
0.0150
0.2283
0.65
e3
L
6.20
OUTLINE AND
MECHANICAL DATA
0.4350
0.10
0.0039
15.90 0.6102
0.6260
1.10
0.0433
1.10
0.0315
N
10˚ (max)
s
8˚ (max)
0.0433
PowerSO-36
Note: “D and E1” do not include mold flash or protusions.
- Mold flash or protusions shall not exceed 0.15mm (0.006”)
- Critical dimensions are "a3", "E" and "G".
0096119 C
30/32
L6258EX
7
Revision history
Revision history
Table 7.
Document revision history
Date
Revision
Changes
15-Sep-2003
1
First Issue in the EDOCS DMS.
11-May-2004
2
Restyling of the graphic form, changed all VCC with VDD;
delete TSD parameter in the Electrical characteristic on Table 4.
24-Sep-2004
3
Changed on the page 5 the fosc parameter max. value from 17.5 to
18.5kHz
28-Feb-2005
4
Add. note at the bottom of Table 2: Absolute maximum rating.
23-Mar-2005
5
Modified the note “(1)” of the Table 2.
03-Dec-2007
6
Document reformatted.
Modified the ACpw formula in Section 3.2 on page 17.
Added the disable note in Section 4.1 on page 24.
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