1. Lecture Objectives: Discuss Project 1 and Final Project Learn about Photo Voltaic systems –Discuss HW3 Discuss system of equations solvers - learn what large ES tools do behind GUI

2. Residential buildings (Part a & b in Project 1) It is very expensive to optimize each residential building We optimize example buildings to develop local codes UT Solar Decathlon 2007Home Research Lab Test house (PRC)

3. Modeling for optimization of Home Research Lab (PSP)

4. Energy consumption in Austin’s residential house Analyze impact of: envelope Internal loads HVAC systems Conduct life cycle const analysis See handout section

5. Commercial Buildings Building 1) Optimization of building envelops glass area,shading,…. 2) Effect of internal loads on energy consumption.................. Systems 1) Impact of HVAC systems 2) Design of solar system (PV or hot water) …………….. Life cycle cost analysis in each project

6. Final project topics: Software (eQUEST, BeOpt, EnergyPlus) based Your model bases (modeling in Matlab like in HWs 1&2) Energy analysis of building form Integrated design course Any other building or building system Solar Decathlon 2015 house Green house model Detail Modeling (your model) Heat recovery systems, Attic problem, Mass transfer (moisture,…) Your ideas…

7. Requirement for the project Undergrad students: Team project (2 or 3 members) Grad students: Individual effort Email me (till next Friday): Final project group members Project title One paragraph (200-300 words) including - Project objective -Methodology -Expected results Any schematic drawing is welcome

8. HW3 Design of zero energy house Install a PV system on your house from your project 1-a http://www.nrel.gov/gis/images/eere_pv/national_photovoltaic_2012-01.jpg http://rredc.nrel.gov/solar/old_data/nsrdb/1961-1990/redbook/atlas/

9. Matrix equation M × t = f for each time step b 1 T 1  +  +c 1 T 2  +  =f(T air,T 1 ,T 2  ) a 2 T 1  +  b 2 T 2  +  +c 2 T 3  +  =f(T 1 ,T 2 , T 3  ) a 3 T 2  +  b 3 T 3  +  +c 3 T 4  +  =f(T 2 ,T 3 , T 4  ) a 6 T 5  +  b 6 T 6  +  =f(T 5 ,T 6 , T air ) ……………………………….. M × t = f Modeling equation (linearized)

10. Energy balance for air unsteady-state heat transfer Q HVAC

11. Example T air is unknown and it is solved by system of equation :

12. System of equations (matrix) for single zone (room) 8 elements xx x x xxx x x x xxx x x xxx Three diagonal matrix for each element x xxx x xx x x xx x x xxx xx x x xx xx x x x x xx xx xx x xx x x x x x x x x xx x x xxxx x x Air equation

13. System of equations for a building 4 rooms Rom matrixes Connected by common wall elements and airflow in-between room – Airflow simulation program (for example CONTAM) Energy Simulation program “meet” Airflow simulation program Matrix for the whole building