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L6258 Fiches technique(PDF) 11 Page - STMicroelectronics

No de pièce L6258
Description  PWM CONTROLLED - HIGH CURRENT DMOS UNIVERSAL MOTOR DRIVER
Download  18 Pages
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Fabricant  STMICROELECTRONICS [STMicroelectronics]
Site Internet  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

L6258 Fiches technique(HTML) 11 Page - STMicroelectronics

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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 am-
plifier and load blocks;
Ax|dB = (29,5) + (-31.4) = -1.9dB
The BODE analysis of the transfer function of Ax
is:
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.
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 volt-
age the output of the same, the voltage gain is
given by :
ib = Vsense
⋅ Gs = Vsense ⋅
1
Rb
Verr_out = -(ic
⋅ Zc) so ic = -(Verr_out ⋅
1
Zc
)
because ib = ic we have:
Vsense
1
Rb
= -(Verr_out
1
Zc
)
Bx
= −
Verr_out
Vsense
= −
Zc
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 :
The BODE diagram shows together the error am-
plifier open loop transfer function, the Ax function
and the resultant total Aloop given by the follow-
ing 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 am-
plifier 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, us-
ing 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 :
Bx
= −
Zc
Rb
= −
Rc
j
1
2
π ⋅ f ⋅ Cc
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 :
Fzero
=
1
2
π ⋅ Rc ⋅ Cc
L6258
11/18


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