Current Controller Kp Gain; Current Controller Ki Gain; Setting The Current Controller Gains - Emerson SP1201 Installation Manual

Safety Product
Introduction
Information information
4.13

Current controller Kp gain

Drive mode Regen
Bit SP
Coding
Range Regen
Default Regen
Update rate Background
4.14

Current controller Ki gain

Drive mode Regen
Bit SP
Coding
Range Regen
Default Regen
Update rate Background
The defaults Kp and Ki gains should be suitable for the standard regen inductors.

Setting the current controller gains

The most critical parameter for stability is the current controller proportional gain (Pr 4.13). The required value for this is dependent on the Regen unit
input inductance. If the inductance of the supply is a significant proportion of the recommended regen inductor (i.e. 60/I
is equivalent to Kc), then the proportional gain may need to be increased. The supply inductance is likely to be negligible compared to the regen
inductor value with small drives, but is likely to be significant with larger drives.
The proportional gain Pr 4.13 should be adjusted as described below using the total inductance per phase. The current controller integral gain Pr 4.14
is not so critical, and in a majority of cases the default value is suitable. However, if it is necessary to adjust this parameter it should be set up as
described below using the supply resistance for one phase.
The proportional gain Kp (Pr 4.13) is the most critical value in controlling the performance of the current controllers. The value can be set by the user
so that :
Kp = (L / T) x (I / V ) x (256 / 5)
fs fs
Where:
T is the sample time of the current controllers. The drive compensates for any change of sample time, and so it should be assumed that the sample
time is equivalent to the lowest sample rate of 167µs.
L is the total inductance per phase.
is the peak full scale current feedback = Kc x √2 / 0.45. Where Kc is the current scaling for each size of drive.
I
fs
V is the maximum DC link voltage.
fs
Therefore:
Kp = (L / 167µs) x (Kc x √2 / 0.45 / V
Where:
K = [√2 / (0.45 x V x 167µs)] x (256 / 5)
fs
There is one value of the scaling factor K for each drive voltage rating as shown in the table below.
Drive voltage rating
200V 415V
400V 830V
575V 990V
690V 1190V
The integral gain Ki (Pr 4.14) is less critical and should be set so that:
Ki = Kp x 256 x T / τ
m
Where:
τ
is the time constant (L / R).
m
R is the resistance of the supply for one phase.
104
System Mechanical
design installation
FI DE Txt VM DP ND
0 to 30,000
200V: 45
400V: 90
575V: 110
690V: 130
FI DE Txt VM DP ND
0 to 30,000
200V: 1000
400V: 2000
575V: 2400
690V: 3000
) x (256 / 5) = K x L x Kc
fs
V
K
fs
2322
1161
973
809
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Technical
Parameters
data
PS
1 1
PS
1 1
mH per phase, where I
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