Hitachi S1 Series Basic Manual page 88

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S1 series standard inverter
Pre-set PID reference of
keypad
P09.01
Keypad
(PID reference source)
AI1
0
AI2
1
AI3
2
3
HDIA
4
Multi-step
speed
5
6
MODBUS
7
8
9
HDIB
Introduction to the working principles and control methods for PID control
Proportional control (Kp): When the feedback deviates from the reference, the output will be
proportional to the deviation, if such deviation is constant, the regulating variable will also be constant.
Proportional control can respond to feedback changes rapidly, however, it cannot eliminate the error
by itself. The larger the proportional gain, the faster the regulating speed, but too large gain will result
in oscillation. To solve this problem, first, set the integral time to a large value and the derivative time
to 0, and run the system by proportional control, and then change the reference to observe the
deviation between feedback signal and the reference (static difference), if the static difference is (eg,
increase the reference, and the feedback variable is always less than the reference after system
stabilizes), continue increasing the proportional gain, otherwise, decrease the proportional gain;
repeat such process until the static error becomes small.
Integral time (Ti): When feedback deviates from reference, the output regulating variable accumulates
continuously, if the deviation persists, the regulating variable will increase continuously until deviation
disappears. Integral regulator can be used to eliminate static difference; however, too large regulation
may lead to repetitive overshoot, which will cause system instability and oscillation. The feature of
oscillation caused by strong integral effect is that the feedback signal fluctuates up and down based
on the reference variable, and fluctuation range increases gradually until oscillation occurred. Integral
time parameter is generally regulated gradually from large to small until the stabilized system speed
fulfills the requirement.
Derivative time (Td): When the deviation between feedback and reference changes, output the
regulating variable which is proportional to the deviation variation rate, and this regulating variable is
only related to the direction and magnitude of the deviation variation rather than the direction and
magnitude of the deviation itself. Differential control is used to control the feedback signal variation
based on the variation trend. Differential regulator should be used with caution as it may easily
enlarge the system interferences, especially those with high variation frequency.
When frequency command selection (P00.06, P00.07) is 7, or channel of voltage setup (P04.27) is 6,
P09.00
PID reference
value
P17.23
+
Reference-
feedback<P09.08?
-
P09.08 (Limit of PID control
P09.02
(PID feedback source)
P17.24
PID feedback
value
Terminal function 25
PID control pause
Y
Valid
Keep current frequency
N
Invalid
deviation)
Kp P09.04 (proportional gain)
AI1
Ti P09.05 (integral time)
0
AI2
Td P09.06 (differential time)
1
AI3
2
3
HDIA
4
MODBUS
5
6
7
8
HDIB
9
10
-83-
PID stops
adjustment
P09.09
(upper limit value of PID
output)
0
1
P09.03
(PID output characteristics)
P09.10
(lower limit value of PID
output)
Set frequency
P17.00
PID output

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