THE FLORIDA STATE UNIVERSITY FAMU-FSU COLLEGE OF ENGINEERING A CONCENTRATED SOLAR THERMAL ENERGY SYSTEM By C. CHRISTOPHER NEWTON A Thesis submitted to the Department of Mechanical Engineering in partial fulfillment of the requirements for the degree of Master of Science Degree Awarded: Spring Semester, 2007 Copyright 2007 C. Christopher Newton All Rights Reserved The members of the Committee approve the Thesis of C. Christopher Newton defended on December 14, 2006. ______________________________ Anjaneyulu Krothapalli Professor Directing Thesis ______________________________ Patrick Hollis Outside Committee Member ______________________________ Brenton Greska Committee Member The Office of Graduate Studies has verified and approved the above named committee members. ii This thesis is dedicated to my family and friends for their love and support. ii i ACKNOWLEDGEMENTS I would like to thank Professor Anjaneyulu Krothapalli and Dr. Brenton Greska for their advisement and support of this work. Through their teachings, my view on life and the world has changed. I would also like to give special thanks to Robert Avant and Bobby DePriest for their help with the design and fabrication of the apparatus used for this work. Also, I would like to thank them for teaching myself, the author, the basics of machining. Mike Sheehan and Ryan Whitney also deserve mention for their help with setting up and assembling the apparatus used in this work. The help and support from each of these individuals mentioned was, and will always be greatly appreciated. iv TABLE OF CONTENTS List of Tables ................................................................................................ Page viii List of Figures ................................................................................................ Page ix Abstract ...................................................................................................... Page xiv 1. Background ................................................................................................ Page 1 1.1 Introduction........................................................................................... Page 1 1.2 Historical Perspective of Solar Thermal Power and Process Heat....... Page 2 1.2.1 Known Parabolic Dish Systems.......................................... Page 3 1.3 Solar Thermal Conversion.................................................................... Page 5 1.4 Solar Geometry (Fundamentals of Solar Radiation)............................. Page 6 1.4.1 Sun-Earth Geometric Relationship..................................... Page 6 1.4.2 Angle of Declination........................................................... Page 7 1.4.3 Solar Time and Angles........................................................ Page 10 1.5 Solar Radiation..................................................................................... Page 13 1.5.1 Extraterrestrial Solar Radiation.......................................... Page 13 1.5.2 Terrestrial Solar Radiation.................................................. Page 14 1.6 Radiative Properties.............................................................................. Page 17 1.7 Solar Collector/Concentrator................................................................ Page 18 1.7.1 Acceptance Angle............................................................... Page 21 1.7.2 Thermodynamic Limits of Concentration........................... Page 22 1.8 The Receiver/Absorber......................................................................... Page 23 1.8.1 Cavity Receiver................................................................... Page 24 1.8.2 External Receiver................................................................ Page 25 1.9 Heat Storage.......................................................................................... Page 25 1.9.1 Sensible Heat Storage......................................................... Page 25 1.9.2 Latent Heat Storage............................................................ Page 26 1.10 Rankine Cycle..................................................................................... Page 26 1.10.1 Working Fluid................................................................... Page 29 1.10.2 Deviation of Actual Cycle from Ideal............................... Page 29 1.11 Steam Turbine..................................................................................... Page 30 1.11.1 Impulse Turbine................................................................ Page 31 1.11.2 Reaction Turbine............................................................... Page 31 1.11.3 Turbine Efficiency............................................................ Page 32 1.12 Overview............................................................................................. Page 33 2. Experimental Apparatus and Procedures........................................................ Page 34 2.1 Introduction........................................................................................... Page 34 2.2 Solar Collector...................................................................................... Page 34 2.3 The Receiver......................................................................................... Page 36 2.4 Steam Turbine....................................................................................... Page 39 v 2.5 Gear-Train............................................................................................. Page 41 2.6 Working Fluid of Solar Thermal System.............................................. Page 43 2.7 Feed-Water Pump................................................................................. Page 44 2.8 Tracking ............................................................................................... Page 45 2.9 Data Acquisition................................................................................... Page 49 2.9.1 Instrumentation................................................................... Page 50 2.10 Power Supply...................................................................................... Page 50 2.11 Generator/Alternator........................................................................... Page 53 3. Analysis/Results and Discussion.................................................................... Page 55 3.1 Introduction........................................................................................... Page 55 3.2 Solar Calculations................................................................................. Page 55 3.3 Analysis of the Dish.............................................................................. Page 57 3.3.1 Efficiency of Collector........................................................ Page 61 3.4 Receiver ............................................................................................... Page 66 3.4.1 Boiler Efficiency................................................................. Page 76 3.5 Turbine Efficiency................................................................................ Page 77 3.6 Turbine/Gear-Train Analysis................................................................ Page 78 3.7 Analysis of the Rankine Cycle.............................................................. Page 79 3.8 Generator and Energy Conversion Efficiency...................................... Page 81 4. Conclusions …................................................................................................ Page 83 4.1 Introduction........................................................................................... Page 83 4.2 Solar Calculations................................................................................. Page 83 4.3 Trackers ............................................................................................... Page 83 4.4 Solar Concentrator................................................................................ Page 84 4.5 Receiver/Boiler..................................................................................... Page 84 4.6 Steam Turbine....................................................................................... Page 85 4.7 Generator.............................................................................................. Page 85 4.8 Cycle Conclusions ............................................................................... Page 85 4.9 Future Work ......................................................................................... Page 86 APPENDICES ................................................................................................ Page 88 A Rabl’s Theorem..................................................................................... Page 88 B Solar Angle and Insolation Calculations.............................................. Page 91 C Solar Calculations for October 12th ..................................................... Page 100 D Collector Efficiency for Varied Wind Speeds...................................... Page 105 E Calculations for Collector Efficiency on Oct. 12th for Beam Insolation Page 111 F Collector Efficiency as Receiver Temperature Increases..................... Page 118 G Geometric Concentration Ration and Maximum Theoretical Temperature Page 121 H Geometric Concentration Ratio as Function of Receiver Temperature Page 125 I Receiver/Boiler Efficiency Calculations.............................................. Page 128 J Mass Flow Rate Calculations for Steam into Turbine.......................... Page 129 K Steam Turbine Efficiency Calculations................................................ Page 131 v i L Rankine Cycle Calculations.................................................................. Page 134 M Drawings/Dimensions of T-500 Impulse Steam Turbine and Gear-Train Page 142 N Receiver Detailed Drawings and Images.............................................. Page 147 O Solar Charger Controller Electrical Diagram....................................... Page 157 P Windstream Power Low RPM Permanent Magnet DC Generator....... Page 159 REFERENCES ................................................................................................ Page 161 BIOGRAPHICAL SKETCH .............................................................................. Page 164 v ii LIST OF TABLES Table 1.1: Average values of atmospheric optical depth (k) and sky diffuse factor (C) for average atmospheric conditions at sea level for the United States Page 16 Table 1.2: Specular Reflectance Values for Different Reflector Materials......... Page 18 Table 2.1: Design Conditions of the T-500 Impulse Turbine.............................. Page 39 Table 2.2: Correlation of Pump Speed to Flow Rate........................................... Page 45 Table 3.1: Test results for mechanical power determination of steam turbine/ gear-train output shaft........................................................................ Page 79 Table 3.2: Inlet and outlet temperature, pressure, and entropy values for the various components of the system. .................................................... Page 80 Table 3.3: Sample of loads tested on generator and the resulting voltage and power Page 45 vi ii LIST OF FIGURES Figure 1.1: Solar Furnace used by Lavoisier ...................................................... Page 2 Figure 1.2: Parabolic collector powered printing press ...................................... Page 3 Figure 1.3: Photographs of Vanguard and McDonell Douglas concentrator systems Page 5 Figure 1.4: Motion of the earth about the sun ..................................................... Page 7 Figure 1.5: Declination Angle as a Function of the Date ................................... Page 8 Figure 1.6: The Declination Angle ..................................................................... Page 8 Figure 1.7: Equation of Time as a function of the time of year .......................... Page 11 Figure 1.8: Length of Day as a function of the time of year ............................... Page 12 Figure 1.9: The Variation of Extraterrestrial Radiation with time of year ......... Page 14 Figure 1.10: Variance of the Total Insolation compared to Beam Insolation...... Page 17 Figure 1.11: Concentration by parabolic concentrating reflector for a beam parallel to the axis of symmetry, and at an angle to the axis ...................... Page 19 Figure 1.12: Cavity Type Receiver ..................................................................... Page 24 Figure 1.13: Basic Rankine Power Cycle ........................................................... Page 26 Figure 1.14: T-s Diagram of Ideal and Actual Rankine Cycle............................ Page 27 Figure 1.15: T-s Diagram showing effect of losses between the boiler and turbine Page 30 Figure 1.16: Diagram showing difference between an impulse and a reaction turbine Page 31 Figure 2.1: Image of dish sections and assembled dish ...................................... Page 35 Figure 2.2: Image of applying aluminized mylar to surface of dish ................... Page 35 Figure 2.3: Exploded 3-D layout of receiver ...................................................... Page 36 Figure 2.4: Image of Draw-salt mixture in receiver ........................................... Page 37 Figure 2.5: Diagram of instrumentation of receiver ........................................... Page 38 Figure 2.6: Image of receiver assembled at focal region of concentrator ........... Page 38 ix Figure 2.7: Images of T-500 Impulse Turbine Rotor .......................................... Page 39 Figure 2.8: Images of T-500 Steam Turbine housing ......................................... Page 40 Figure 2.9: Images of T-500 Steam Turbine Assembled .................................... Page 40 Figure 2.10: Images of Gear-Train Assembly .................................................... Page 42 Figure 2.11: Images of Steam Turbine and Gear-Train Assembled ................... Page 42 Figure 2.12: Image of water tank ........................................................................ Page 43 Figure 2.13: Image of pump and controller ........................................................ Page 44 Figure 2.14: Images of the frame with actuators ................................................ Page 46 Figure 2.15: Image of LED3 Solar Tracker Module .......................................... Page 47 Figure 2.16: Image of LED3 module in plexi-glass housing .............................. Page 47 Figure 2.17: Image of LED3 module sealed in plexi-glass housing ................... Page 48 Figure 2.18: Image of tracking module attached to concentrator ....................... Page 48 Figure 2.19: Image of the data acquisition program used (SURYA) ................. Page 49 Figure 2.20: Two 12-volt deep cycle batteries wired in series............................ Page 51 Figure 2.21: Thin-filmed flexible photovoltaics.................................................. Page 51 Figure 2.22: Image of Solar Charger Controller.................................................. Page 52 Figure 2.23: Image of 400 Watt DC to AC Power Inverter................................. Page 53 Figure 2.24: Image of Windstream Power 10 AMP Permanent Magnet Generator Page 53 Figure 2.25: Performance Curves for the Generator............................................ Page 54 Figure 2.26: Image Generator, Gear-train, and Steam Turbine Assembled........ Page 54 Figure 3.1: Solar Altitude and Azimuth Angles for October 12th ...................... Page 56 Figure 3.2: Plot showing comparison between available Total Insolation and available Beam Insolation ............................................................... Page 57 Figure 3.3: Relationship between the concentration ratio and the receiver operation temperature....................................................................... Page 61 x