1. Tier 2: Case Studies

2. Table of Contents Chapter 1 Introduction Useful Computer Tools for Data Reconciliation Chapter 2 Case Study #1 Steady-State Nonlinear DR and Detection of Gross Errors through Analysis Chapter 3 Case Study #2 A Gross Error Detection Problem Using Observability and Redundancy Analysis Chapter 4 Case Study #3 An Unsteady-State Problem

3. Introduction: Useful Computer Tools for Data Reconciliation

4. Introduction Jumping Jiminy Cricket! Excel and MATLAB!?

5. Introduction Matrix Algebra DataReconciliation MATLABEXCEL

6. Introduction Some useful syntax in MATLAB: A = AB A T A -1 QR factorization of A QR factorization with permutation A = [1 0 0 1; 0 1 1 0; 1 0 1 1] A*B A’ inv(A) [Q,R] = qr(A) [Q,R,E] = qr(A)

7. Introduction Some useful syntax in Excel: Suppose A = (cells A1:B2) B = (cells D1:E2) 10 01 11 10 Then AB AT A-1 MMULT(A1:B2, D1:E2) TRANSPOSE(A1:B2) MINVERSE(A1:B2)

8. Introduction AB = C In order to calculate C and place it in cells G1:H2: 1)Highlight cells G1:H2 2)Type “= MMULT(A1:B2, D1:E2)” 3)Press Control, Shift and Enter simultaneously A (2x2), B (2x2) C (2x2)