SAMPLER-Engineering Systems Modeling with Excel-VBA
Transcription
SAMPLER-Engineering Systems Modeling with Excel-VBA
Professional Development Short Course On: Engineering Systems Modeling with Excel / VBA Instructor: Matthew E. Moran, PE ATI Course Schedule: http://www.ATIcourses.com/schedule.htm ATI's Engineering Systems http://www.aticourses.com/Engineering_Systems_Modeling_with_Excel_VBA.html Modeling with Excel / VBA www.ATIcourses.com Boost Your Skills with On-Site Courses Tailored to Your Needs 349 Berkshire Drive Riva, Maryland 21140 Telephone 1-888-501-2100 / (410) 965-8805 Fax (410) 956-5785 Email: ATI@ATIcourses.com The Applied Technology Institute specializes in training programs for technical professionals. Our courses keep you current in the state-of-the-art technology that is essential to keep your company on the cutting edge in today’s highly competitive marketplace. Since 1984, ATI has earned the trust of training departments nationwide, and has presented on-site training at the major Navy, Air Force and NASA centers, and for a large number of contractors. Our training increases effectiveness and productivity. Learn from the proven best. For a Free On-Site Quote Visit Us At: http://www.ATIcourses.com/free_onsite_quote.asp For Our Current Public Course Schedule Go To: http://www.ATIcourses.com/schedule.htm (isothermtech.com) Description These sample slides are excerpted from the 2-day short course entitled “Engineering Systems Modeling with Excel/VBA”. The course provides in-depth Excel/VBA in depth details on the principles, practices, and implementation of Excel and its integrated programming environment, Visual Basic for Applications (VBA), (VBA) for engineering analysis & modeling modeling. p g public p offerings g of the course and other For upcoming related information, please visit www.aticourses.com or www.isothermtech.com. To receive a monthly email newsletter that includes Excel/VBA techniques q & tips, p , please send an email to info@isothermtech.com with “Newsletter” in the subject field, and your contact information in the body (a typical signature block is sufficient). © 2009 Matthew E. Moran 2 (isothermtech.com) Course Summary This course will Thi ill provide id the th knowledge and methods to create custom thermal & fluid system models for… y g conceptual p ¾ Analyzing designs ¾ Performing system trades ¾ Simulating operation ¾ Optimizing system performance …with Excel/VBA. © 2009 Matthew E. Moran 3 (isothermtech.com) Learning Objectives • Exploit the full power of Excel for building thermal & fluid models • Master the built-in VBA programming environment • Implement advanced data I/O I/O, manipulation, analysis, and display • Create full featured graphical interfaces and interactive content • Optimize performance for multiparameter systems and designs • Integrate interdisciplinary capabilities into thermal & fluid models © 2009 Matthew E. Moran 4 (isothermtech.com) Topics: Design & Build 1. 2. 3. 4. 5. Excel/VBA Review Identifying Scope & Capabilities Quick Prototyping Defining Model Structure Designing Graphical User Interfaces 6. Building & Tuning the VBA Engine 7. Customizing Output Results 8. Exploiting Built-in Excel F Functions ti © 2009 Matthew E. Moran 5 (isothermtech.com) Topics: Refine & Optimize 9. Integrating External Data 10. Adding Interdisciplinary Capabilities 11. Unleashing GoalSeek & Solver 12. Incorporating Scenarios 13. Documentation, References, & Li k Links 14. Formatting & Protection 15. 15 Flexibility, Flexibility Standardization, Standardization & Configuration Control p & Tricks 16. Other Useful Tips 17. Application Topics © 2009 Matthew E. Moran 6 Modeling Options HIGHE ER COST T, LESS A AVAILAB BILITY (isothermtech.com) CFD codes Finite element element, finite difference Application codes focused codes d Math computations s/w (incl Excel/VBA) Custom or in-house in house programs Hand calculations HIGHER COMPLEXITY, COMPLEXITY LOWER EASE OF USE © 2009 Matthew E. Moran 7 (isothermtech.com) Advantages of Excel/VBA FEATURES & BENEFITS TECHNICAL APPLICATIONS • • • • • • • • • • • Flexibility & customization Built-in Built in math functions Data I/O, manipulation & display Full featured GUI tools Integrated programming language & development environment Multi-parameter Multi parameter solver Ubiquitous installed user base Familiarity & ease of use Interdisciplinary capabilities (incl financial) Enable rapid exploration of design variations © 2009 Matthew E. Moran • • • • • • Automating, standardizing, g repetitive p & documenting calculations Performing what-ifs & inverse solutions Rapid analytical prototyping Exploring conceptual designs/systems System trades and parameter sensitivities Precursor, complementary, and/or check for more high fidelity analyses Multidisciplinary interactions (including costing) 8 (isothermtech.com) Functions (Built-In) Source: “Help - Microsoft Excel Help - Table of Contents - Working with Data - Function Reference” • Excel has many useful built-in functions under a variety of categories • These functions can be invoked from the worksheet side byy selecting a cell and clicking the “fx” icon or “Insert-Function…” from th menu b the bar • Many functions also exist on the VBA side, although lth h the th syntax t may be different (check the VBA help menu) TIP: Worksheet side functions can be accessed in VBA by using the syntax: “VBAvariable = Application.WorksheetFunction.FunctionName(Arg1, Arg2,….)” 9 © 2009 Matthew E. Moran (isothermtech.com) Graphics • Objects can be placed anywhere on the sheet • Fill patterns & colors can be added from the Drawing toolbar • When an object is selected, editing circles appear around the object and can be used to size, rotate, or otherwise th i edit dit the th object bj t • “Connectors” can be added j that will follow the objects wherever they move TIP: To prevent a graphic from being changed when cells are re-sized, right click on the graphic, select “Format Autoshape…”, select the “Properties” tab, and select “Don’t move or size with cells” © 2009 Matthew E. Moran 10 (isothermtech.com) Project window shows h workbook objects, userforms, use o s, & modules Properties window shows properties of selected j object © 2009 Matthew E. Moran Visual Basic Editor VBA menu bar includes debugger and other VBA unique picks Main window displays userform, VBA code modules, etc. 11 (isothermtech.com) Project & Properties Excel objects (workbooks, spreadsheets, etc.) Userforms (see blank one to the right with toolbox for adding controls) Modules (This is where the VBA code is contained) Properties of selected object j (a ( userform in this case) © 2009 Matthew E. Moran THIS WINDOW DISPLAYS WHATEVER VBA OBJECT IS BEING EDITED ((a userform in this case) 12 Functions vs Subs (isothermtech.com) Capabilities Function Sub Pass variables in Yes Yes Pass variable out (incl array) Yes No Modify worksheet objects & properties (incl cell values) No Yes Call from a cell Yes No Run on an event (e.g. click) No Yes Accessible as a user defined function (“fx” icon) Accessible as a macro Yes No No Yes* © 2009 Matthew E. Moran * If no variables are passed into the sub 13 (isothermtech.com) Object Structure • Excel uses an object oriented structure • Objects can have a collection ll i off sub-objects b bj (e.g. WorkbookWorksheets-Range) g ) • Properties define the characteristics of an object (e.g. (e g Value) • Methods are member functions of the application li ti object bj t (e.g. ( Activate) • Events are actions that can be taken on an object (e.g. Open) © 2009 Matthew E. Moran Source: Excel Help (VBA) 14 (isothermtech.com) Object Oriented Programming • Virtually any “object” object in the Excel environment can have its properties accessed and its methods executed using the VBA Editor – In the properties window – With a sub procedure • • NOTE: The scope of this course allows only a limited introduction to this extensive topic. Programming methods most applicable to engineering models will be the primary focus. © 2009 Matthew E. Moran • Properties can be read into a variable by setting the property equal to the variable name Some properties can be written to by setting the property equal to a value or variable Select “View-Object Browser” and choose “Application” Application under Classes to see the many objects that can be 15 manipulated (isothermtech.com) Putting Excel & VBA Together Guidelines for integrating Excel & VBA in thermal & fl id systems fluid t models: d l • Use Excel as the interface between the model and the user – Input & output management – Decompose subsystems and/or components in separate worksheets – Customize for intuitiveness & performance • Use VBA as the numerical/algorithms engine: – Calculations Calculations, iteration iteration, decision flow, loops, etc. – Custom userforms © 2009 Matthew E. Moran 16 (isothermtech.com) END USER(S) & CONFIGURATION CONTROL SCOPE & REQUIREMENTS Model Definition • • • CAPABILITIES & INTERFACES • STANDARDS & WORK FLOW © 2009 Matthew E. Moran Who will be using the model? – only the developer – one well defined customer/user – user group – corporate wide distribution – unlimited distribution What results do they need? – single point design – design trades – system simulation – system t optimization ti i ti What parameters do they want to vary? – raw inputs – statistical variations – design perturbations Who is developing the model? – one person – 2 or 3 people – more than 10 people – multiple organizations 17 (isothermtech.com) System Decomposition NOTE: Can also add a parent level by creating & linking multiple workbooks © 2009 Matthew E. Moran • S Systems t can be b decomposed in Excel using diff different t worksheets • If more than two levels are needed, can use the syntax: 1.1, 1.1.1, 1.1.1.1, etc. • Other Excel tools to aid in documenting and navigating within system models: Diagrams, Navigation Objects, and Outlines 18 (isothermtech.com) Start-Up Control The above code displays p message, g , a startup makes Sheet1 active, zooms in to fill the screen with columns A to M and selects cell A1 M, © 2009 Matthew E. Moran • The wayy a workbook is displayed when it opens can be controlled • Open the VBA Editor • Double click on “This Workbook” in the VBA Project window • Select “Workbook” in the first drop down window, and “Open” in th second the d • Add code to control how the workbook opens • Other events can have code attached by selecting g them from the second drop down menu (e.g. closing the workbook) 19 (isothermtech.com) Hyperlinks To hyperlink an image or cell to a target location: 1 Right 1. Ri ht click li k on th the selected l t d iimage or cell & select “Hyperlink” 2. Choose what type of link you want to create and its location © 2009 Matthew E. Moran 20 (isothermtech.com) User Forms • User Forms are created on the VBA side by selecting “InsertU F UserForm” ” • A Forms folder appears in the Project window containing a new UserForm • ActiveX controls can be added by selecting them and dragging on the UserForm to place them TIP: The name of the UserForm and all objects on it can be modified within the Properties window © 2009 Matthew E. Moran 21 (isothermtech.com) Scenarios • Excel “Scenarios” tool p can be used to explore and document changes to system/design parameters • Can be automated with VBA to add design points with the push of a button • All named variables for a given design can also be output © 2009 Matthew E. Moran 22 (isothermtech.com) Sensitivity Analysis • Analysis of the sensitivity of various model parameters can be done quickly in Excel • Use model to generate a table of performance results while varying one parameter at a time • Plot results to explore sensitivity of performance to key parameters • A similar approach can be used to investigate process variability in parameters (e (e.g. g manufacturing tolerances) © 2009 Matthew E. Moran 23 (isothermtech.com) Goal Seek • Goal Seek is a simple and easy tool for finding a desired value based on changing one variable • Helpful for running quick “what-if” calculations • Allows user to explore design boundaries as a function of one variable at a time • Example: What flow velocity will yield the maximum allowable pressure drop? © 2009 Matthew E. Moran 24 (isothermtech.com) © 2009 Matthew E. Moran Solver • S Solver l is i a very powerful f l tool for multi-parameter optimization • Unfortunately, Unfortunately documentation in Excel is not comprehensive • Can be run in real time or automated using VBA • Note: must select “VBATools-References” and check “Solver” if automated (not covered in this course) • Is actually a third-party add-in from Frontline Systems • Many Man other 3rd party part optimization Add-Ins are available 25 (isothermtech.com) Interdisciplinary Models Example of functions from one model: 'PARTIAL PRESSURE OF WATER USING ANTOINE EQN (AND DEW POINT) Function WaterPP(CellTemp)… 'VOLTAGE PER CELL Function Vcell(CurrentDens, CellResist, RT_nFAnode, iOAnode, TafelSlopeCathode, iOCathode, LimitingCurrent, Voc)… 'STRESS CALCULATION FOR WALL THICKNESS OF A TANK Function WallT(units, material, pressure, diam, safetyfactor)… 'WALL THICKNESS CALCULATION FOR BUCKLING LOAD (Refr: John F. Harvey, 1985) Function BuckleThick(units, material, pressure, diam, length, safetyfactor)… f t f t ) 'SPHERICAL TANK INTERNAL SURFACE AREA Function SphArea(diameter)… p ( , 'SPHERICAL TANK MASS Function SphMass(units, diameter, wallthick, material) 'HEAT LEAK INTO SPHERICAL TANK Function SphHeat(units, diami, MLIfactor, area%, sinktemp, fluidtemp, y foamthick, wallthick)… ) MLIlayers, 'ASSIGNMENT OF FLUID ID # FOR GASPAK PROPERTIES Function FluidID(fluid)… © 2009 Matthew E. Moran • Excel is inherently “blind” to the discipline d sc p e being be g modeled • This flexibility allows the developer to integrate other technical disciplines into the model wherever and however is most effective • The interaction between disciplines is especially valuable t simulate to i l t (e.g. ( “multiphysics”) 26 (isothermtech.com) Collaboration Lessons Learned • Subsystem 1 (Sheet1) Subsystem 2 (Sheet2) • • • System (Workbook) • • Subsystem 3 (Sheet3) Subsystem 4 (Sheet 4) © 2009 Matthew E. Moran • Agree tto modeling A d li strategy t t & approach h upfront, and enforce it Insure all contributors have the skills to implement p adopted p techniques q If possible, have individual contributors work on separate subsystem worksheets Have a single person do system integration of the workbook Implement configuration & version control techniques Consider using file storage & management systems that “check-out” documents to insure only one person is g on it at any y given g time working Look to the “open source” development community for more advanced techniques (e.g. Apache, Linux, Open Office, etc.) 27 (isothermtech.com) Distribution & Version Control Development Versions (e.g. 1.1, 1.2,…) Release for Distribution (e g 2 (e.g. 2.0) 0) • Use a version numbering system to save modifications – Development versions can be saved as 1.1, 1.2, 1.3, etc. (archive these if necessary) – Released versions can be saved as 1.0, 2.0, 3.0, etc. t (keep (k copies i off th these on hand for support questions) • Examples E l Development Versions (e g 2 (e.g. 2.1, 1 2 2.2,…) 2 ) © 2009 Matthew E. Moran – ThermalModel_v2.5 is a development p version – ThermalModel_v3.0 is the third release 28 (isothermtech.com) Exporting & Importing Modules • VBA modules can be exported to a file for archiving or to use for a library of standard codes • Click Cli k on th the module d l to be exported, then select “FileExport File…” • The text file can be imported into any VBA module folder by selecting “FileI Import t File…” Fil ” © 2009 Matthew E. Moran 29 (isothermtech.com) Flexibility & Extensibility • Excel is an ideal environment for allowing users to add custom content to a standardized model • Some examples: – Add price sheets – Link model outputs to custom calculations – Provide worksheet sections for user customization – Allow addition of selected macros © 2009 Matthew E. Moran • By using the protection settings, developer can control which features to allow user to customize 30 (isothermtech.com) Example: Simple Calc Sheet © 2009 Matthew E. Moran 31 (isothermtech.com) Example: Another Calc Sheet © 2009 Matthew E. Moran 32 (isothermtech.com) Example: Multilayer Insulation © 2009 Matthew E. Moran 33 (isothermtech.com) © 2009 Matthew E. Moran Example: SOTV Spacecraft 34 (isothermtech.com) Example: Cryo Tank Design © 2009 Matthew E. Moran 35 (isothermtech.com) Example: Fuel Cell System © 2009 Matthew E. Moran 36 (isothermtech.com) Index for Full 2-Day Course TITLE SLIDE ActiveX Controls 2003 148 ActiveX Controls 2003 (cont.) 150 ActiveX Controls 2007 149 Add-Ins (Built-In) 35 Add-Ins (Custom) - Loading 243 Add-Ins (Custom) - Saving 242 Advantages of Excel/VBA 14 Analysis ToolPak 2003 36 Analysis ToolPak 2007 37 Application: Another Calc Sheet 74 Application: Cryo Tank Design 214 Application: Cryo Tank Design 215 Application: Cryo Tank Design (c 216 Application: Fuel Cell 234 Application: Fuel Cell (cont) 235 A li ti Application: H Heatt L Leak k 108 Application: Heat Leak (cont) 109 Application: Heat Leak (cont) 110 Application: Heat Leak (cont) 111 Application: Heat Leak (cont) 112 Application: MEMS HX 179 Application: MEMS HX (cont) 180 Application: MEMS HX (cont) 181 Application: MEMS HX (cont) 182 Application: Microsystem 138 Application: Microsystem (cont) 139 Application: Microsystem (cont) 140 © 2009 Matthew E. Moran TITLE SLIDE Application: Multilayer Insulation 155 Application: Multilayer Insulation (c 156 Application: Multilayer Insulation (c 157 Application: Multilayer Insulation (c 158 Application: Multilayer Insulation (c 159 Application: Multilayer Insulation (c 160 Application: Simple Calc Sheet 28 Application: SOTV Spacecraft 197 Application: SOTV Spacecraft (con 198 Application: SOTV Spacecraft ((con 199 Application: SOTV Spacecraft (con 200 Application: SOTV Spacecraft (con 201 Arrays - Creating 204 Arrays - Dynamic 208 Arrays – From Worksheet 206 A Arrays - IIntro t 203 Arrays – Passing in VBA 205 Arrays – To Worksheet 207 Autofill & Absolute Refrs 30 Basic Settings – Options 2003 26 Basic Settings - Security 2003 25 Basic Settings 2007 23 Buttons 151 Buttons (cont.) 152 Cell Comments 170 Cell Formatting 59 Cell Validation 171 TITLE Cell Validation (cont.) Cells – Reading Data Cells – Writing Data Collaboration Lessons Learned Command Guide 2003 to 2007 Configuration Control Contents Contents Contents Contents Control Toolbox (cont.) Control Toolbox (cont.) Control Toolbox 2003 Control Toolbox 2007 Course Summary C Curve Fit Fits - P Programming i Curve Fitting - Continuous Curve Fitting – Error Checking Curve Fitting – Final Step Curve Fitting - Piecewise Curve Fitting Steps 2003 Curve Fitting Steps 2003 (cont.) Curve Fitting Steps 2003 (cont.) Curve Fitting Steps 2007 Curve Fitting Steps 2007 (cont.) Curve Fitting Steps 2007 (cont.) Customizing Look & Feel 2003 SLIDE 172 209 210 238 22 239 3 4 5 6 68 69 66 67 7 132 118 126 125 127 119 120 121 122 123 124 217 37 (isothermtech.com) Index for Full 2-Day Course TITLE Debugging Tools Description DESIGN & BUILD Distribution & Version Control Documenting Data & Refrs Documenting Data & Refrs (cont.) Documenting Data & Refrs (cont.) Equation Object Equation Object - Installation Equation Object (cont.) (cont ) Example : Electronics Cooling Excel + VBA Excel 2007 – New Features Excel 2007 VBA Changes EXCEL REVIEW Excel Size Limitations Exercise 1: Convection Sheet Exercise 1: Convection Sheet - Hints Exercise 2: Convection VBA Exercise 2: Convection VBA - Hints Exercise 3: Fluid Properties Exercise 3: Fluid Properties - Hints Exercise 4: Condenser Exercise 4: Condenser - Hints Exercise 5: Properties Userform p Userform - Hints Exercise 5: Properties Exercise 5: Properties Userform (cont) © 2009 Matthew E. Moran SLIDE 89 2 107 240 133 134 135 60 61 62 249 15 16 18 27 17 71 72 105 106 136 137 153 154 175 177 176 TITLE Exercise 6: Pipe Design Exercise 6: Pipe Design - Hints Exercise 7: Optimize Pipe Exercise 7: Optimize Pipe - Hints Exercise 8: System Sheet Exercise 8: System Sheet - Hints Exporting & Importing Modules Flexibility & Extensibility For & Do Loops Form vs ActiveX Controls Format for Printing 2003 Format for Printing 2003 (cont.) Format for Printing 2007 Function & Sub Tips Functions Functions – Database & External Functions – Date & Time Functions – Engineering Functions – Engineering (cont) Functions – Financial Functions – Financial (cont) Functions – Financial (cont) Functions – Information & Logical Functions – Lookup & Reference Functions - Math Functions – Math ((cont)) Functions – Math (cont) SLIDE 212 213 232 233 256 257 241 250 202 70 251 252 253 88 81 57 56 44 45 50 51 52 55 54 41 42 43 TITLE SLIDE Functions - Statistics 46 Functions – Statistics (cont) 47 Functions – Statistics (cont) 48 Functions – Statistics (cont) 49 Functions – Text & Data 53 Functions - Using 39 Functions - Using (cont.) 40 Functions (Built-In) 38 Functions (cont.) 82 Functions (cont.) (cont ) 83 Functions vs Subs 87 Getting Started with Excel 2007 21 Goal Seek 193 Goal Seek (cont.) 196 Goal Seek 2003 194 Goal Seek 2007 195 Graphics - Manipulating 142 Graphics (cont.) 65 Graphics 2003 63 Graphics 2007 64 Help - Excel 2003 101 Help - Excel 2007 102 Help - VBA 103 Hiding & Locking Cells 246 Hiding Rows & Columns 244 Hiding g Worksheets 245 Hyperlinks 146 38 (isothermtech.com) Index for Full 2-Day Course TITLE Hyperlinks (cont.) IF Statements Index Index Index Index Instructor Bio Integration with Other Docs Interdisciplinary Models Introductions Learning Objectives Macros - Editing Manual Digitizing Manual Digitizing (cont.) g Messages Messages (cont.) Model Definition Modeling Options Modifying Excel Features 2003 Modifying Excel Features 2007 Modules Named Variables – Listing All Names - Editing & Using 2003 Names Management 2007 Naming Cells & Ranges g Many y Cells 2003 Naming Navigating Within Models © 2009 Matthew E. Moran SLIDE 147 130 258 259 260 261 8 254 237 9 10 100 128 129 143 144 113 13 218 219 80 191 33 34 31 32 167 TITLE Navigating Within Models (cont.) Navigating Within Models (cont.) Number Formats Object Oriented Programming Object Structure Plots - Interactive Programming Aids Project & Properties Project & Properties (cont.) Protecting Sheets & Workbooks Protecting VBA Prototyping – Calculations Prototyping – Inputs & Outputs Prototyping – Last Step Putting g Excel & VBA Together g Recording Macros 2003 Recording Macros 2003 (cont.) Recording Macros 2007 Recording Macros 2007 (cont.) REFINE & OPTIMIZE Reviving Legacy Excel Files Scenario Summary Scenarios Scenarios – Setting Up (cont.) Scenarios – Setting Up 2003 Scenarios – Setting g Up p 2007 Security Settings 2007 SLIDE 168 169 211 95 94 141 90 78 79 247 248 116 115 117 104 96 97 98 99 178 20 187 183 186 184 185 24 TITLE SLIDE Select Case 131 Sensitivity Analysis 192 Solver 220 Solver – Initial Use 2003 221 Solver – Initial Use 2007 222 Solver – Loading Models 229 Solver – Saving Models 228 Solver - Settings 223 Solver – Simple Example 224 Solver – Simple Example (cont) 225 Solver – Simple Example (cont) 226 Solver – Simple Example (cont) 227 Solver - Tips 230 Solver – Tips (cont) 231 Some Mac Tips 19 Start-Up Control 145 Strings (Characters) 255 Sub Procedures 84 Sub Procedures (cont.) 85 Sub Procedures (cont.) 86 Summary Automation 188 Summary Automation (cont.) 189 Summary Automation (cont.) 190 System Decomposition 114 Systems Diagrams 236 Topics: p Design g & Build 11 Topics: Refine & Optimize 12 39 (isothermtech.com) Index for Full 2-Day Course TITLE SLIDE User Forms 161 User Forms - Coding 162 User Forms – Coding (cont) 163 User Forms – More Controls 164 Userforms – Data Handling 165 Validation – Drop Down List 173 Variables - Declaring 91 Variables - Tips 93 Variables - Types 92 VBA – Accessing 2003 75 VBA – Accessing 2007 76 VBA Naming Conventions 166 Visual Basic Editor 77 VISUAL BASIC FOR APPLICATIONS (VBA 73 g & Error Messages g 174 Warning Workbook Environment 29 Worksheet Structure & Linking 58 © 2009 Matthew E. Moran TITLE SLIDE TITLE SLIDE 40 (isothermtech.com) Instructor Bio Matthew E. Moran is the owner of Isotherm Technologies LLC (www.isothermtech.com), a senior engineer at NASA, and an instructor in the graduate school at Walsh University. Matt also eac es engineering e g ee g a analysis a ys s se seminars a s throughout oug ou the eU U.S. S He e teaches has been a co-founder or key contributor to the start up of five high tech businesses; and has worked with hundreds of organizations of varying size, type and industry sector. Matt has 27 years experience developing products and systems for aerospace, electronics, military, and power generation applications. He has created Excel/VBA thermal & fluid system models for the Air Force, Force Office of Naval Research, Research Missile Defense Agency, NASA, and many other organizations. Matt is a Professional Engineer g ((Ohio), ), with a B.S. & g graduate work in Mechanical Engineering, and an MBA in Systems Management. He has published 39 papers, and has 3 patents and the areas of thermal systems, cryogenics, MEMS/microsystems, power g p generation systems, y , and electronics cooling. g © 2009 Matthew E. Moran 41 You have enjoyed ATI's preview of Engineering Systems Modeling with Excel / VBA Please post your comments and questions to our blog: http://www.aticourses.com/wordpress-2.7/weblog1/ Sign-up for ATI's monthly Course Schedule Updates : http://www.aticourses.com/email_signup_page.html