34_BioreactorIdentificationFormsW12 - G (s) = CHE 361 -...

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Unformatted text preview: G (s) = CHE 361 - Bioreactor Project output = input = "BUGS" FOR : _________________________ / # ______ (TEAM Name / # ) Student signed initials: __________ A. Your BUG Kinetic Constants: __________ __________ base metabolic rate M = _______________ (0.001 - 0.2 g food/h) / g bugs) maximum growth rate μmax = _______________ (0.1 - 3.0 h-1) nutrient growth efficiency Y = _______________ (0.2 - 0.7 g bugs/g food used to produce bugs) growth food sensitivity Ks = _______________ (0.2 - 10. g food / L) B. Your Nominal Steady State Variables: Inputs F = __________ Outputs N i = __________ B = __________ N = __________ C. Your Transfer Function Variables: Your input variable , F or Ni = ____________ Your output variable, B or N = ____________ D. Results for Transfer Function Models: List in a table format each transfer function found in standard form (not factored, so "1" should be the coefficient on lowest order s term) and list pole(s) and zero(s) value(s). Also list damping coefficient and 2nd-order time constant if your system is 2nd order. In your discussion section, show poles and zero locations in sketches of the complex plane and compare the location / values obtained versus your local linearized model. Example Outline for CHE 361 Typed Project Report Notes: Use page numbers and include a Table of Contents and List of Figures. Equations and transfer functions can be printed by hand instead of being typed. Include and discuss the tables provided to compare various experimental designs and the resultant transfer function models in the Conclusions! 1. Bioreactor Overview: description of type of reactor and nominal operating conditions. Discuss your "bug" parameters with respect to the limits for selection, e.g. at what value of the allowed range (90-100%) is your value of Ks? What % of conversion (XN) of the feed stream nutrient is consumed by the bugs? XN = (Ni-N)/Ni for constant density liquid flow. At what % of maximum physically feasible feed flow (F) are you operating? 2. Local Linearization: Derivation of G(s) via Taylor series linearization of ODEs How did you choose your nominal operating point? What are the physical results of your choice of operating point with your bug parameters, i.e. how would you describe the operation of your reactor ? 3. Step Test Experiments & Least Squares Analysis using step2g.p From the nonlinear steady-state model (Equation 6 in the handout), what is the feasible range of input steps that you can make in % terms of your nominal steady-state input? How did you choose a value for M, the size and direction of your input steps? If you only did 2 steps, how did you decide the differences in the size of steps you made? If you did more than 2, how did you choose the intermediate steps between your smallest and largest? Compare the transfer functions obtained from these experiments with each other and with the nominal local transfer function. 4. Pulse Test Experiments & Bode Plot Analysis using chebode2.p How did you choose value for h and tw of your input pulses? Compare the transfer functions obtained from these experiments with each other and with the nominal local transfer function. 5. Linearity Analysis of your bioreactor,i.e. what class (A,B,C, or D) and what are your expectations for the successful use of a PI feedback controller on your bioreactor? Based on your initial estimate of controller parameters and the tuning/performance tests, how well did your expectations from analysis match your experiences with the control loop? Complete the controller testing handout (week 9) and include it with your report. It is strongly suggested that you create a TIMETABLE FOR TASKS for your team. Table 1: Summary of Transfer Function Models (“at” = location in the complex plane) Standard Form G(s)local Pole(s) at: F= Ni = Gstep1 u= u new = Gstep2 u= u new = h= Gpulse1 tw = h= Gpulse2 tw = τ ζ Zero at: Table 2: Summary of Step Experiments Step 1 Step 2 This Δu in ( % u ) ΔK in ( % K local ) Δτ in ( % τ Δζ in ( % ζ Δτz in ( % τ local ) local ) ) z , local Table 3: Summary of Pulse Experiments Pulse 1 This Δu in ( % u ) tw, pulse duration max | y′ ( t ) | (in % of y ) ΔK in ( % K local ) Δτ in ( % τ Δζ in ( % ζ Δτz in ( % τ local ) local ) z , local ) Pulse 2 ...
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This note was uploaded on 03/01/2012 for the course CHE 361 taught by Professor Staff during the Winter '08 term at Oregon State.

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