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Chapter 4: Steady-State Data Reconciliation for Bilinear Systems

Chapter 4: Steady-State Data Reconciliation for Bilinear Systems. Distillate flow, F 2. x 2,1 x 2,2. Feed flow, F 1. x 1,1 x 1,2. Bottom flow, F 3. x 3,1 x 3,2. F 2. x 2,1 x 2,2. F 1. x 1,1 x 1,2. F 3. x 3,1 x 3,2. Figure 4.1. Minimize. (4.1). subject to.

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Chapter 4: Steady-State Data Reconciliation for Bilinear Systems

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  1. Chapter 4:Steady-State Data Reconciliation for Bilinear Systems

  2. Distillate flow, F2 x2,1 x2,2 Feed flow, F1 x1,1 x1,2 Bottom flow, F3 x3,1 x3,2

  3. F2 x2,1 x2,2 F1 x1,1 x1,2 F3 x3,1 x3,2 Figure 4.1

  4. Minimize (4.1) subject to where F is the vector of the measured flow rates, , Vf and Vx are the variance matrices corresponding to the measurements of the flow rates and the compositions, respectively, and x1 and x2 are the composition vectors

  5. Stream 1 2 3 Component 1 2

  6. F2 x2,1 x2,2 F1 x1,1 x1,2 F3 x3,1 x3,2 Figure 4.1

  7. Cold stream return Hot stream F1, T1 F3, T3 F2, T2 F4, T4 Hot stream return Cold stream

  8. F1, T1 F3, T3 F2, T2 F4, T4 Figure 4.2

  9. F1, T1 F3, T3 F2, T2 F4, T4 Figure 4.2

  10. F1, T1 F3, T3 F2, T2 F4, T4 Figure 4.2

  11. Chapter 5:Steady-State Nonlinear Data Reconciliation

  12. Distillate flow, F2 x2,1 x2,2 Feed flow, F1 x1,1 x1,2 x3,1 x3,2 Bottom flow, F3

  13. Component balances F2 x2,1 x2,2 Normalization equations F1 x1,1 x1,2 F3 x3,1 x3,2 Figure 5.1

  14. (5.11) (5.12)

  15. Table 4.1

  16. Q1 Q2 R1 0

  17. F2 x2,1 x2,2 F1 x1,1 x1,2 F3 x3,1 x3,2 Figure 5.1

  18. ********************************************************* f=[0;0;0;0;0]; Q1=[0 0;0 0;0 0;0 0;0 0]; Q2=[0 0 0;0 0 0;0 0 0;0 0 0;0 0 0]; V=[0 0 0 0 0 0 0;0 0 0 0 0 0 0;0 0 0 0 0 0 0;0 0 0 0 0 0 0;0 0 0 0 0 0 0;0 0 0 0 0 0 0;0 0 0 0 0 0 0]; V(1,1)=0.0548^2; V(2,2)=0.0239^2; V(3,3)=0.0244^2;

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