Module 10 · Control and Protection3 min read

Control Basics: On-off, Modulating and PID

Every automatic control loop measures something, compares it with a set point, and moves something to close the gap. On-off control switches between two states; modulating control moves smoothly; a PID controller decides how far and how fast to move.

ByShikhar Singh·Steam Consultant & IT Consultant·Published

You'll learn

  • Describe a control loop
  • Compare on-off and modulating control
  • Explain proportional, integral and derivative action
  • Recognize a badly tuned loop

Before this: Pressure and temperature measurement

BeginnerThe idea in plain words, and where you meet it. No maths.

Measure, compare, correct

A control loop has a measurement (steam pressure), a set point (the pressure wanted), a controller that compares the two, and a final element it moves (the burner firing rate). The difference between measurement and set point is the error; the controller acts to reduce it.

  • On-off control: fully on below the set point, fully off above it, with a small dead band between. Simple; the measured value always swings.
  • Modulating control: the final element moves continuously to any position, holding the measured value close to set point.
IntermediateThe formula, its units, and a worked example on real plant numbers.

P, I and D

PID controller output
u=Kpe+Ki∫edt+Kddedt
Symbols in the formula
SymbolMeaningUnit
eError: set point minus measurement—
KpProportional gain—
KiIntegral gainper second
KdDerivative gainseconds
  • Proportional: output in proportion to the error now. Fast, but on its own it leaves a steady offset.
  • Integral: output grows as long as any error remains, which removes the offset. Too much and the loop overshoots and oscillates.
  • Derivative: responds to how fast the error is changing, damping overshoot. Sensitive to noise, so often left out on noisy loops such as flow.
ExpertThe fine print: where the simple model breaks, and what it costs.

Tuning and its symptoms

Reading a loop’s behavior
SymptomLikely cause
Slow, steady offset from set pointToo little integral
Continuous oscillationToo much gain or integral
Overshoot then slow settleIntegral too strong; derivative may help
Valve chattering, noisy outputDerivative on a noisy signal, or gain too high
Good on a test, poor at low loadProcess gain changes with load; valve oversized

Tuning should be done with the process at a representative load, one change at a time, recording the response. Many poor loops are not tuning problems at all: a sticking valve, an oversized valve working near closed, or a sensor in the wrong place will defeat any tuning.

Key takeaways

  • A loop measures, compares with a set point and moves a final element.
  • On-off swings around the set point; modulating holds it.
  • P acts on the error now, I removes offset, D damps rapid change.
  • Sticking or oversized valves and badly placed sensors defeat any tuning.

Check your understanding

Questions run from beginner to expert. Try each before opening the answer.

  1. Beginner

    Q1. In boiler pressure control, what is the final element?

    1. A.Pressure gauge
    2. B.Burner firing rate
    3. C.Safety valve
    4. D.Gauge glass
    Show answer

    B. The controller moves the firing rate.

  2. Intermediate

    Q2. Which action removes a steady offset?

    1. A.Proportional
    2. B.Integral
    3. C.Derivative
    4. D.None
    Show answer

    B. Integral keeps acting while any error remains.

  3. Intermediate

    Q3. A loop oscillates continuously. Likely cause?

    1. A.Too little gain
    2. B.Too much gain or integral
    3. C.No derivative
    4. D.The set point
    Show answer

    B. Over-aggressive action overshoots repeatedly.

  4. Expert

    Q4. Why can derivative action make a flow loop worse?

    1. A.It is slow
    2. B.Flow signals are noisy, and derivative amplifies noise
    3. C.It removes offset
    4. D.It does not
    Show answer

    B. Derivative responds to rapid changes, including noise.

Frequently asked

What is a PID controller?
A controller whose output combines three actions on the error between set point and measurement: proportional (the error now), integral (accumulated error) and derivative (rate of change of error).
What is the difference between on-off and modulating control?
On-off switches the final element fully on or off and the measured value swings; modulating control moves it continuously and holds the measured value steady.

Training a boiler team?

These lessons follow the order we train operators in. We also run on-site operator and maintenance training, built around your own plant.

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Sources

  • Bureau of Energy Efficiency, Guide Book 2: Energy Efficiency in Thermal Utilities, chapter 2 (Boilers) — Boiler control systems.

About the author

Shikhar SinghSteam Consultant & IT Consultant

Shikhar Singh is a Steam Consultant and IT Consultant at GyanTosh Fabricators Pvt. Ltd., where he works on steam system sizing, condensate recovery and the engineering content published on this site.

Full profile and background →