Process Dynamics And Control
nd EnergyIncompressible flowConstant hold-upConstant mean pressure16
Process Modeling Under constant hold-up and constant density Mass balance equation Total Mass Mass In Mass Out Constant volume17
Process Modeling Under constant hold-up and constant mean pressurechanges Energy Balance leads to an enthalpy balance Inlet Enthalpy Outlet Enthalpy Heat flow to the system Work done on system Total enthalpy in the system18
Process ModelingAfter substitution,withfixed and assuming constantDivide by Heat input from a hot (or cold source) at temperaturewhereis a heat-transfer coefficientis the effective area for heat transfer19
Process Modeling Modeling heat input Heat input is proportional to the difference in temperature20
Process ModelingAssume F is fixed then the ODE is linear, use LaplaceTransformswhereis the tank residence time (or time constant)Isolating and solving forgives21
Process ModelingIf F changes with time then the differential equation does nothave a closed form solution.Productsandequation nonlinear.makes this differentialSolution will need numerical integration.22
Process Modeling Gravity tankFohObjectives: height of liquid in tankFundamental quantity: Mass, momentumAssumptions: FLOutlet flow is driven by head of liquid in the tankIncompressible flowPlug flow in outlet pipeTurbulent flow23
Process ModelingFrom mass balance and Newton’s law,A system of simultaneous ordinary differential equations resultsLinear or nonlinear?24
Solution of ODEs Mechanistic modeling results in (sets of) nonlinear ordinarydifferential equations Solution requires numerical integration To get solution, we must first: specify all constants specify all initial conditions specify types of perturbations of the input variablesFor the heated stirred tank, specify specify specify25
Input Specifications Study of control system dynamics Observe the time response of a process output inresponse to input changes Focus on specific inputs1. Step input signals2. Ramp input signals3. Pulse and impulse signals4. Sinusoidal signals5. Random (noisy) signals26
Common Input Signals1. Step Input Signal: a sustained instantaneous changee.g. Unit step input introduced at time 127
Common Input Signals2. Ramp Input: A sustained constant rate of changee.g. Ramp input at time t 128
Common Input Signals3. Pulse: An instantaneous temporary changee.g. Fast pulse (unit impulse) at t 129
Common Input Signals3. Pulses:e.g. Rectangular Pulse30
Common Input Signals4. Sinusoidal input, e.g.31
Common Input Signals5. Random Input, e.g. white noise32
Process Modeling For control applications: Modeling objectives is to describe process dynamics based on the laws of conservation of mass, energy and momentum The balance equation 1.Mass Balance 2.Energy Balance 3.Momentum Balance (Newton’s Law) Rate of Accumulation of fundamental quantity Flow In Flow Out Rate of Production - File Size: 1MBPage Count: 32Explore furtherPDF Download Process Dynamics Modeling And Control Freewww.nwcbooks.comProcess Dynamics and Control - PDF Free Downloadepdf.pubUnderstanding Process Dynamics And Control PDF Download .www.fuadherbal.netA Short Introduction to Process Dynamics and Controlwww.users.abo.fiProcess Dynamics And Control Lecture Notesrims.ruforum.orgRecommended to you b
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2301A LSSC with Dual Dynamics Manual 82046 2 Woodward Each set of dynamics has its own gain, reset, and actuator compensation adjustments. The selection of dynamics is made by a switch contact. A light emitting diode (LED) on the front of the 2301A control indicates when the alternate set of dynamics is being used by the control.File Size: 915KBPage Count: 48
Confirming Pages ix CONTENTS Preface to the Third Edition xv Chapter 1 Introductory Concepts 1 1.1 Why Process Control? 1 1.2 Control Systems 1 PART I MODELING FOR PROCESS DYNAMICS 9 Chapter 2 Modeling Tools for Process Dynamics 11 2.1 Process Dynamics—A Chemical Mixing Scenario 11 2.2 Mathematical Tools for Modeling 18 2.3 Solution of Ordinary Differential Equations (ODEs) 26
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