Detailed formulas
Original instructions
Explanation of formula variables
Meaning of the variables in the following formulas:
Variable
Meaning
Present sample time
System deviation (SP - PV)
System deviation (SP2-PV2)
System deviation value from the previous sampling step
OFF
Offset at the output of the P-controller
Y
Manipulated variable
YI
I component
YP
P component
Master controller output
The output of the master controller is determined as follows:
Overview of the calculation of the control components
There now follows an overview of the varying calculations on control components and outputs based on the various modes:
Automatic operating mode
The output signal Y of the cascade controller is:
The integral component Y1 of the sub controller for the automatic mode is determined as follows:
The I component is formed according to the trapezoid rule.
Manual mode
The output signal Y of the cascade controller is:
The input signal SP2 of the sub controller is:
The integral component Y1 of the sub controller for the manual mode is determined as follows:
Halt mode
The output signal Y of the cascade controller is:
The input signal SP2 of the sub controller is:
The integral component Y1 of the sub controller for the halt mode is determined as follows:
Fixed setpoint control
The output signal Y of the cascade controller is:
The input signal SP2 of the sub controller is:
The integral component Y1 of the sub controller for the fixed setpoint control mode is determined as follows:
The proportional action coefficient YP is determined as follows: