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Process control and instrumentation

Chemical Engineering (B.E./B.Tech) · Process control and design · free study notes for exams, placements and interviews

In short

Process control and instrumentation is the practice of measuring process variables (flow, temperature, pressure, level, composition), comparing them with desired set points, and manipulating final control elements - usually control valves - so a plant runs safely, at specification and at minimum cost. Instrumentation supplies the measurement and signalling hardware; control supplies the decision logic (on-off, P, PI, PID, cascade, feedforward, ratio, multivariable). It is a high-weight GATE-CH section (Instrumentation and Process Control is a named part of the GATE-CH syllabus) and the single most asked practical area in interviews for Reliance, IOCL, BPCL, HPCL, GAIL, ONGC, Tata Chemicals, UPL, Deepak Nitrite, Pidilite, Honeywell, Yokogawa, Emerson, ABB, L&T and EIL. Working engineers meet it as DCS operation, loop checking, instrument datasheets, alarm management and SIL-rated safety loops under the Petroleum & Natural Gas Rules and PESO-certified equipment requirements.

Explained

The feedback loop and its elements

Controller modes

Tuning methods

  1. Ziegler-Nichols continuous cycling (closed loop): set I and D off, raise Kc until the loop oscillates with constant amplitude → ultimate gain Kcu and ultimate period Pu. Settings: P → Kc = 0.5Kcu; PI → Kc = 0.45Kcu, τI = Pu/1.2; PID → Kc = 0.6Kcu, τI = Pu/2, τD = Pu/8. Gives quarter-decay ratio, fairly aggressive.
  2. Cohen-Coon (open loop / process reaction curve): apply a step to the valve in manual, fit the response to a first-order-plus-dead-time model Kp·e−θs/(τs+1), then use the Cohen-Coon formulas; good for loops with θ/τ up to about 1.
  3. IMC / lambda tuning: choose a desired closed-loop time constant λ; for FOPDT with PI, Kc = τ/[Kp(λ+θ)], τI = τ. Gives smooth, non-oscillatory control - the method most used in modern DCS practice.
  4. Integral-criteria tuning: minimise IAE, ISE or ITAE (Lopez correlations).
  5. Field "trial and error": halve gain, double reset until acceptable - acceptable only with a documented before/after trend.
  6. Performance measures: rise time, settling time, overshoot, decay ratio (0.25 = quarter decay), offset, period of oscillation, IAE.
  7. Stability: a loop is stable if all roots of 1 + GcGvGpGm = 0 lie in the left half-plane (Routh test); gain margin ≥ 1.7-2 and phase margin ≥ 30-45° are usual design targets. Dead time is the main destabiliser - every loop should be designed to minimise it (place sensors close, avoid long sample lines).

Advanced and multi-loop structures

Measuring instruments

Final control elements

Plant control systems, safety and Indian practice

Key points

Formulas and examples

Error: e(t) = ysp − ym ; controller output of an ideal PID: p(t) = p̄ + Kc[ e + (1/τI)∫e dt + τD de/dt ]
Proportional band: PB (%) = 100 / Kc (Kc dimensionless when input and output are in %)
Transfer function of ideal PID: Gc(s) = Kc[1 + 1/(τI s) + τD s]
Closed-loop servo response: Y/Ysp = GcGvGp / (1 + GcGvGpGm); characteristic equation 1 + GcGvGpGm = 0
Offset of a P-only loop (first-order process, unit step load): offset = Kd·d / (1 + KcKvKpKm)
Ziegler-Nichols PID: Kc = 0.6Kcu, τI = Pu/2, τD = Pu/8 (Kcu = ultimate gain, Pu = ultimate period, min)
IMC-PI for Kp e−θs/(τs+1): Kc = τ / [Kp(λ + θ)], τI = τ (λ = desired closed-loop time constant, min)
4-20 mA span: I = 4 + 16·(PV − LRV)/(URV − LRV) mA ; percent = (I − 4)/16 × 100
Orifice/DP flow: Q = Cd·A2·√[2ΔP/ρ(1 − β⁴)] ; practically Q = k√ΔP, β = d/D
Valve sizing (liquid, non-choked): Q = Cv·√(ΔPv/SG) with Q in gpm, ΔPv in psi; Kv ≈ 0.865 Cv (Q in m³/h, ΔP in bar)
Equal-percentage inherent characteristic: q/qmax = Rx−1, R = rangeability (usually 50), x = fractional travel
Pt100 resistance: Rt = R0(1 + αt) with R0 = 100 Ω, α = 0.00385 /°C (linear approximation, 0-200 °C)
Thermocouple: E = Shot − Scold, so measured emf must be corrected for cold-junction temperature
DP level with zero suppression: ΔP = ρ·g·h (h = level above tap); wet-leg output = ρL·g·h − ρf·g·H
Decay ratio = (second peak)/(first peak); overshoot = (first peak − final)/final

Example 1 - 4-20 mA transmitter scaling. A pressure transmitter is ranged 0-25 bar g and reads 13.6 mA. Also find the current at 18 bar.

Example 2 - proportional offset and proportional band. A level process has Kp = 2 m per unit valve signal, Kv = 1, Km = 1 (measurement in m). A P-only controller has Kc = 4. A load disturbance that would raise level by 0.5 m at steady state (Kd·d = 0.5 m) occurs.

Example 3 - Ziegler-Nichols and IMC tuning compared. A temperature loop oscillates with constant amplitude at Kc = 5.0, period 12 min. An open-loop step test fits Kp = 0.8 °C/%, τ = 10 min, θ = 2 min.

Example 4 - control valve sizing and ΔP check. Water (SG = 1.0) at 40 m³/h must pass a control valve with 1.4 bar drop across it; total pump-to-vessel dynamic drop is 4.5 bar.

Example 5 - Pt100 and orifice square-root. (a) A Pt100 reads 157.3 Ω. (b) An orifice-DP transmitter is calibrated 0-250 mbar for 0-100 m³/h; it reads 90 mbar.

SensorTypical rangeAccuracyStrengthLimitation
Pt100 RTD−200 to 650 °C±0.1-0.3 °CStable, linear, repeatableCostlier, limited top temperature, self-heating
Thermocouple K−200 to 1,260 °C±1-2 °CCheap, rugged, very wide rangeDrift, cold-junction compensation, low emf
Orifice + DP3:1 turndown±1-2% of spanCheap, no moving parts, any sizePermanent loss, poor at low flow, square root
Corioliswide±0.1-0.2% of rateTrue mass flow + densityVery costly, size-limited, sensitive to vibration
Electromagneticwide±0.2-0.5%Obstructionless, slurriesConductive liquids only
Guided-wave radar levelup to ~30 m±3-10 mmUnaffected by density (probe contacts the product)Costly, foam and heavy coating affect signal
FeatureFeedbackFeedforwardCascade
Acts onMeasured error in CVMeasured disturbanceInner (fast) variable
Needs model?NoYesNo
Corrects unknown upsetsYesNoPartly
Works before CV movesNoYesYes (for inner upsets)
Typical useNearly every loopColumn feed, exchanger dutyReactor temp → jacket flow

Where it is used

Interview questions

Common mistakes

Related topics

Process dynamics and transfer functions · Process flow diagrams and P&IDs · Process plant safety: HAZOP and PSM · Process design and optimisation · Fire, explosion and toxic release hazards · Plant layout and piping

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