Process & Instrumentation Diagram (P&ID)
Closed-Loop Feedback SystemReal-Time Process Telemetry & Trend Response
Set Point (SP)
50.0 %
Process Var (PV)
20.0 %
Error (SP - PV)
30.0 %
Control Out (MV)
0.0 %
Control Valve
0.0 %
Pump Status
STOPPED
Control Loop Mode:
PID Tuning Parameters
AUTO PID ACTIVE
Set Point (SP)
%
Manual Output (OP)
%
Proportional Gain (Kp)
Integral Gain (Ki)
Derivative Gain (Kd)
RESPONSE STATUS
At SetpointKp: Controls proportional response speed.
Ki: Eliminates steady-state error (offset).
Kd: Improves damping and anticipates error change.
Outlet Disturbance Load
Opens manual drain valve (creates liquid level drop)
Practical Tasks Checklist
1. Maintain tank level around 50%
2. Change Set Point to 80% & observe response
3. Turn Disturbance ON & observe closed-loop recovery
4. Increase Kp > 6.0 (Observe Oscillations)
5. Increase Ki > 3.0 (Observe Zero Steady-State Error)
6. Increase Kd > 2.0 (Observe Damped Response)
Practical Observation Data Log
| Time (s) | SP (%) | PV (%) | MV / OP (%) | Error (%) | Valve (%) | Disturbance |
|---|
Educational Working Principle
Process Model PID Tuning Reference Table
Recommended values are based on the simulated process model.
| Process / Output % | Recommended Kp | Recommended Ki | Recommended Kd | Rec. Valve (%) |
|---|
Closed-Loop Level Control System
In a Closed-Loop Control System, the actual output (Process Variable, PV) is continuously measured by a sensor (Level Transmitter LT-101) and fed back to the PID Controller.
The controller calculates the Error between the target Set Point (SP) and PV:
Error e(t) = Set Point (SP) - Process Variable (PV)
Based on this error, the controller computes a Manipulated Variable (MV/OP signal) to adjust the control valve CV-101 position, regulating water inflow to match liquid demand.
P, I, and D Control Effects
- Proportional (Kp): Output is directly proportional to current error. Higher Kp increases response speed, but excessive Kp causes overshoot and sustained oscillations.
- Integral (Ki): Sums past errors over time. Eliminates steady-state error (offset), ensuring PV reaches exact SP target.
- Derivative (Kd): Predicts future error based on rate of change (de/dt). Acts as a damper to reduce oscillations and smooth out transient response.
Parallel PID Algorithm Formula
The continuous time domain PID controller mathematical equation is:
u(t) = Kp e(t) + Ki ∫ e(t) dt + Kd (de(t)/dt)
In this digital lab simulator, numerical integration (Euler method with anti-windup clamping) and derivative filtering are computed every time-step at 60 FPS.
Industrial Applications of PID Level Control
- Steam Boiler Drum Level Control: Maintains critical water levels to prevent boiler burn-out or water carryover into steam turbines.
- Chemical Reactor Surge Tanks: Buffers process flow fluctuations between refinery distillation columns.
- Water & Wastewater Treatment Plants: Regulates aeration tank liquid levels and chemical dosing inflow.