UTILIZATION OF SOLAR ENERGY TO SUPPLEMENT THE COMBINED CYCLE POWER PLANT Yuk L. Cheung B.S., University of California, Berkeley, 2007 PROJECT Submitted in partial satisfaction of the requirements for the degree of MASTER OF SCIENCE in MECHANICAL ENGINEERING at CALIFORNIA STATE UNIVERSITY, SACRAMENTO SPRING 2010 UTILIZATION OF SOLAR ENERGY TO SUPPLEMENT THE COMBINED CYCLE POWER PLANT A Project by Yuk L. Cheung Approved by: __________________________________, Committee Chair Tim Marbach, Ph.D. ____________________________ Date ii Student: Yuk L. Cheung I certify that this student has met the requirements for format contained in the University format manual, and that this project is suitable for shelving in the Library and credit is to be awarded for the Project. __________________________, Department Chair Susan Holl, Ph.D. Department of Mechanical Engineering iii ________________ Date Abstract of UTILIZATION OF SOLAR ENERGY TO SUPPLEMENT THE COMBINED CYCLE POWER PLANT by Yuk L. Cheung This paper presents an analytical review on the SMUD’s combined cycle power plant modification project (in Rancho Seco, CA) with solar energy utilization to supplement the steam turbine power generation process. During summer, the change in ambient temperature and air density results in lower amount of steam produced and reduced the power capacity in the plant. Thus, SMUD suggests using a concentrated solar power system to heat additional water and injects the solar steam as a steam supplement to the system. SMUD has provided solar steam parameters, heat balance data, and flow diagram of the plant, evaluation of different potent designs is conduct. The result will serve as reference to SMUD for the actual project. The design performance is measured in term of the net power gain, the cost of pumping throughout the system, and the overall system modification. Among the discussed designs, injection of solar steam between the IP steam turbine and the reheater, and condensate return by pumping from the condenser directly without heating, would give the most optimal performance; providing a theoretical power gain of 19.0 MW, or 9.8% capacity improvement, with flow rate of 168,600 lb/hr in the concentrated solar power system. _______________________, Committee Chair Tim Marbach, Ph.D. _______________________ Date iv Acknowledgments ACKNOWLEDGMENTS I would like to thank my project advisor Dr. Tim Marbach for his help, support and guidance throughout the work. In addition, I am in gratitude with SMUD for giving me this valuable opportunity to use this Cosumnes Power Plant modification project as my master study. Without them, this report and the analysis would be impossible to begin with. v TABLE OF CONTENTS Page Acknowledgments............................................................................................................................ v List of Tables ................................................................................................................................ viii List of Figures ................................................................................................................................. ix Nomenclature ................................................................................................................................... x Chapter 1. INTRODUCTION ....................................................................................................................... 1 2. BACKGROUND INFORMATION ............................................................................................ 3 2.1 Combined Cycle Power Plant ........................................................................................... 3 2.2 Combustion Gas Turbine .................................................................................................. 4 2.3 Heat Recovery Steam Generator ....................................................................................... 5 2.4 Steam Turbine ................................................................................................................... 6 2.5 Rankine Cycle ................................................................................................................... 7 2.6 Simplified Combined Cycle Flow Diagram ...................................................................... 8 2.7 The Complete Flow Diagram & Rated System Performance ........................................... 9 2.7.1 Gas Turbine Performance .................................................................................... 10 2.7.2 Steam Turbine Performance ................................................................................ 10 2.8 The Summer Time “Issue” .............................................................................................. 11 3. PROPOSED SOLUTION & DESIGN PROCEDURE ............................................................. 13 3.1 Concentrated Solar Power ............................................................................................... 13 3.2 The Design Parameters ................................................................................................... 15 3.3 Different Ways to Utilize Solar Steam ............................................................................ 16 4. DESIGN ANALYSES & DISCUSSION .................................................................................. 19 vi 4.1 Solar Steam Injection Location ....................................................................................... 19 4.2 Condensate Return Option .............................................................................................. 21 4.2.1 Condensate Return Option #1 ............................................................................. 22 4.2.2 Condensate Return Option #2 ............................................................................. 23 4.3 Different Scenarios of Solution ....................................................................................... 26 4.3.1 Scenario #1: Injection after Reheater with Return Option #1 ............................. 27 4.3.2 Scenario #2: Injection after Reheater with Return Option #2 & Solar Steam ..... 29 4.3.3 Scenario #3: Injection after Reheater with Return Option #2 & Hot Reheat ...... 31 4.3.4 Scenario #4: Injection before Reheater with Return Option #1 .......................... 33 4.3.5 Scenario #5: Injection before Reheater with Return Option #2 & Solar Steam .. 37 4.3.6 Scenario #6: Injection before Reheater with Return Option #2 & Hot Reheat ... 39 4.4 Summary of Performance Results ................................................................................... 41 4.5 The Baseline Scenario ..................................................................................................... 43 5. THE BEST DESIGN ................................................................................................................. 48 Appendix A1. CPP Flow Diagram (Courtesy to SMUD) ............................................................ 50 Appendix B1. Original HP Steam Turbine Performance Analysis .............................................. 51 Appendix B2. Original IP Steam Turbine Performance Analysis ............................................... 52 Appendix B3. Original LP Steam Turbine Performance Analysis .............................................. 53 Appendix C1. Properties of Solar Steam at Different Pressures .................................................. 54 Appendix D1. Flow Properties Analysis across IP & LP Turbines in Scenario #1 ..................... 55 Appendix D2. Flow Properties Analysis across IP & LP Turbines in Scenario #2 ..................... 56 Appendix D3. Flow Properties Analysis across IP & LP Turbines in Scenario #3 ..................... 57 Appendix D4. Flow Properties Analysis across IP & LP Turbines in Baseline .......................... 58 Bibliography .................................................................................................................................. 59 vii LIST OF TABLES Page List of Tables 1. Table 1: Summary of Original Inlet and Outlet Conditions across All Steam Turbines ....... 10 2. Table 2: Flow Conditions at Different Stages of Process (Refer to Figure 11)..................... 22 3. Table 3: Flow Conditions (with Solar Steam as Source) at Different Stages of Process ...... 24 4. Table 4: Flow Conditions (with Hot Reheat as Source) at Different Stages of Process ....... 25 5. Table 5: Flow Conditions from Stage A to D in Scenario #1 ............................................... 28 6. Table 6: Flow Conditions from Stage A to D in Scenario #2 ............................................... 31 7. Table 7: Flow Conditions from Stage A to D in Scenario #3 ............................................... 33 8. Table 8: Flow Conditions from Stage A to E in Scenario #4 ................................................ 36 9. Table 9: Flow Conditions from Stage A to E in Scenario #5 ................................................ 38 10. Table 10: Flow Conditions from Stage A to E in Scenario #6 .............................................. 40 11. Table 11: Summary of Performance Results for All Design Scenarios ................................ 42 12. Table 12: Flow Conditions from Stage A to D in Baseline Scenario .................................... 46 viii LIST OF FIGURES Page List of Figures 1. Figure 1: A Typical Combined-Cycle Power Plant................................................................. 3 2. Figure 2: A Typical Combustion Gas Turbine ........................................................................ 4 3. Figure 3: A Typical Counter-Flow Heat Exchanger, and the Temperature Distribution of the Fluids in the Exchanger along Tube Axis ............................................................................... 5 4. Figure 4: A Typical Multi-level Steam Turbine...................................................................... 7 5. Figure 5: Schematic of a Basic Rankine Cycle ...................................................................... 8 6. Figure 6: Schematic of a Simplified Combined Cycle System ............................................... 9 7. Figure 7: Gas Turbine Performance as Function of Ambient Temperature .......................... 12 8. Figure 8: Diagrams of the Four Popular Types of CSP Systems .......................................... 14 9. Figure 9: Site Map of the CCPP and the CSP Field .............................................................. 15 10. Figure 10: Schematic of the Steam Flow Diagram ............................................................... 17 11. Figure 11: Schematic of the Condensate Return Option #1 .................................................. 22 12. Figure 12: Schematic of the Condensate Return Option #2 .................................................. 24 13. Figure 13: Schematic of the Design Scenario #1 .................................................................. 27 14. Figure 14: Schematic of the Design Scenario #2 .................................................................. 30 15. Figure 15: Schematic of the Design Scenario #3 .................................................................. 32 16. Figure 16: Schematic of the Design Scenario #4 .................................................................. 35 17. Figure 17: Schematic of the Design Scenario #5 .................................................................. 38 18. Figure 18: Schematic of the Design Scenario #6 .................................................................. 39 19. Figure 19: The Baseline Design Scenario ............................................................................. 45 20. Figure 20: Schematic of the Recommended Solution Design ............................................... 49 ix NOMENCLATURE Nomenclature T Fluid Temperature P Fluid Pressure m Fluid Mass Flow Rate Thermal Efficiency (i.e. Turbine, Pump, or Overall) h Enthalpy Value of the Fluid s Entropy Value of the Fluid E Rate of Heat Transfer between Two Fluids Q Rate of Heat Transferred into Fluid U Overall Heat Transfer Coefficient inside a Heat Exchanger A Surface Area of the Pipe in a Heat Exchanger ∆T Logarithmic Mean Temperature Difference W turbine Steam Turbine Power Output W pump Feed Pump Driving Power HP Acronym for High Pressure IP Acronym for Intermediate Pressure LP Acronym for Low Pressure HPSH Acronym for High Pressure Super Heater IPSH Acronym for Intermediate Pressure Super Heater LPSH Acronym for Low Pressure Super Heater STG Acronym for Steam Turbine Generation CTG Acronym for Combustion Turbine Generation x CND Acronym for Condenser Hot Well HRSG Acronym for Heat Recovery Steam Generator CSP Acronym for Concentrated Solar Power CCPP Acronym for Combined Cycle Power Plant xi 1 Chapter 1 INTRODUCTION SMUD’s Cosumnes Power Plant, a combined cycle power plant (CCPP) that is located in Rancho Seco, California, has an output under-capacity issue during summer time. In summer, energy demand is the highest; however, the power plant is not capable of producing maximum power output due to the ambient temperature and air density changes. As a result, the amount of steam that is produced from the heat recovery steam generation (HRSG) system decreases. This ultimately affects the steam turbine power generation (STG) process, which is one of the two major power production processes in the CCPP. And the result of this summer “issue” is the loss of power output capacity. Some solutions to fix the issue are by burning more fuel in the combustion turbine to compensate the effects of the ambient change, or by using an absorption chiller to cool off the intake air temperature. However, they are either not sustainable idea or decrease the available heat for steam production in the HRSG unit. Nevertheless, they do not follow the current the trend of renewable energy development. Therefore, SMUD has come up with another “green” solution; that is to utilize solar thermal collectors to make steam, and using this solar steam to compensate for the lost steam in the STG process. A solar thermal collector utilizes solar thermal energy, by concentrating the sun radiation energy, to heat water into steam. Then the solar steam is injected and mixed with the regular flow in the STG system to make up the lost amount of steam due to the temperature issue. The solar steam brings in additional energy into the system and could be converted into electricity power when passing thru the turbines. This additional gain will be used to compensate the lost output capacity and serves as a means to solve the under capacity issue. In another sense, solar steam 2 could also be used to bring up the temperature of exiting flow from the high pressure (HP) steam turbine, which could reduce the load on the reheater and the cost of operation in other seasons. Either way, the utilization of solar thermal energy should give us a win-win situation to both the company and the environment in the end. The design parameters of the solar steam and return condensate from the Concentrated Solar Power (CSP) system, the heat balance data and the detail flow diagram of the CCPP are provided by SMUD. In return, evaluation of the idea using solar energy as a supplement in the power generation cycle is conducted in this project. The main goal of this study is to determine the feasibility of the injection of solar steam into the existing power generation cycle. Thermodynamics knowledge and heat transfer analysis are applied to investigate the effects of mixing solar steam with the regular flow in the system. The potential condensate return options are also included in the discussion. Different scenarios of injection are designed and performance is evaluated based on the net power gain and capacity improvement, the cost of pumping, the additional heating/fueling requirement, and the degree of overall system modification. 3 Chapter 2 BACKGROUND INFORMATION 2.1 Combined Cycle Power Plant The Rancho Seco combined cycle power plant consists of two gas turbine generators, equipped with heat recovery steam generator unit (HRSG), and three steam powered turbines. The plant is large and rated in the hundred of mega-watts. Figure 1 shows a typical CCPP. The combined cycle plant combines the Brayton (gas turbine) and the Rankine (steam turbine) thermodynamic cycles by using heat recovery steam generator (HRSG) to capture the energy in the gas turbine exhaust for steam production. Pressurized steam are generated from the HRSG and used to drive the steam turbines for power output. The combustion turbines energy conversion typically ranges between 25% to 40% efficiency as a simple cycle. And combined cycles have a higher thermal efficiency (up to 60%) than the steam or gas turbine cycles operating alone [1] [2]. Figure 1: A Typical Combined-Cycle Power Plant 4 2.2 Combustion Gas Turbine The combustion gas turbine being used in this natural gas fuelled power plant consists of inlet section, compressor, combustion system, turbine, exhaust system, and exhaust diffuser as in figure 2. Figure 2: A Typical Combustion Gas Turbine The compressor draws air into the engine, pressurizes it and feeds it to combustion at high speed. The combustion system is made of fuel injectors that inject steady streams of fuel into the combustion chambers where it mixes with air. The mixture is then burned at a high temperature (>1093 deg. C). Turbine has a stationary and rotating aerofoil-section, as hot combustion gas expands through the turbine and spins the rotating blades. The rotating blades would drive the compressor to draw more pressurized air into the combustion system, and spin a generator to produce electricity. The exhaust gases exiting the engine could be recovered and used to heat up water into steam and generate more electricity from the steam turbine [2] [3]. 5 2.3 Heat Recovery Steam Generator The HRSG unit is installed after the gas turbine exhaust to recover the exhausting heat in gases mixture by generating superheat steam to operate the steam turbines. The HRSG system consists of reheater, super heater, evaporator, economizer, preheater, drum and dearator. See Appendix A for details. The HRSG system employs the counter-flow heat exchanger principle to extract the heat from the flue gases in order to generate steam for the steam turbine. The equations involve with counter-flow heat exchanger are shown below [4]. Figure 3 illustrates a typical counter-flow exchanger and the temperature distribution inside the exchanger. Figure 3: A Typical Counter-Flow Heat Exchanger, and the Temperature Distribution of the Fluids in the Exchanger along Tube Axis In a counter-flow heat exchanger, fluids flow in the opposite direction. If the specific heat capacity of fluids is constant, it can be shown that: E U A T (Eq. 1), 6 where E is the rate of heat transfer between two fluids, U is the overall heat transfer coefficient, A is the surface area of the tube, and ∆T is the logarithmic mean temperature difference. If the inlet and outlet conditions of the fluids in the heat exchanger are available, by conservation of energy, the energy transferred between the two fluids could be calculated according to (Eq. 2) below, a (ha _in ha _out ) m b (hb _out hb _in ) E = m (Eq. 2), is the fluid mass flow rate in the pipe, where E is the rate of heat transfer between two fluids, m and h is the enthalpy value of the fluid at the defined temperature and pressure. 2.4 Steam Turbine A steam turbine is a mechanical device that converts thermal energy in pressurized steam into useful mechanical work. Steam turbine is ideal for the very large power configurations used in power stations. The steam turbine derives much of its thermodynamic efficiency using multiple stages steam expansion. This results in a closer approach to the ideal reversible process. Steam turbines are made in a variety of sizes ranging from small 0.75 kW to 1,500 MW units. They are widely used for marine vessel propulsion systems. In recent times gas turbines, as developed for aerospace applications, are being used more and more in the field of power generation once dominated by steam turbines [5][6]. Steam energy is converted to mechanical work by expansion through the turbine. The expansion takes place through a series of fixed blades and moving blades. The moving blades rotate on the central turbine rotor and the fixed blades are concentrically arranged within the circular turbine casing, which is substantially designed to withstand the steam pressure. On large output power plant, if the duty is too large for one turbine, numbers of turbine casing/rotor units are combined to achieve the duty. These are generally arranged on a common 7 centerline (tandem mounted). For this project, the steam turbine system used is one of those types mentioned previously and is shown in figure 4 below. Figure 4: A Typical Multi-level Steam Turbine 2.5 Rankine Cycle The Rankine Cycle is a steam cycle for a steam power plant operating under the theoretical conditions for high efficiency. It is an ideal imaginary cycle against which all other real steam working cycles can be compared. This ideal cycle is shown below in figure 5, along with steam flow reference. The cycle assumes no radiation loss, steam leakage, or frictional loss in the mechanical components. The condenser will condense the superheated steam to saturated water vapor. The feed pump and turbine are isentropic, which means they are reversible & adiabatic [5]. Inside the turbine, the power output is equal to fluid flow rate times the difference of fluid enthalpies across the turbine, namely (h1 – h2). Heat transfer from the gas turbine flue gases thru the HRSG system supplies most of the energy in the steam. The stored energy in the flow will be the difference in the enthalpy of the steam leaving the boiler and the water entering the feed pump, or simply (h1 – h3). The thermal efficiency of the Rankine cycle and is defined as, 8 (Eq. 3), where h is the enthalpy value of fluid at different state of process. In addition, the turbine power output can be calculated as, (h1 h2 ) Turbine Output = W turbine = m (Eq. 4), is the fluid mass flow rate, and h is the enthalpy of where W turbine is the turbine power output, m the fluid across the turbine. Also the pump power input can be defined in a similar way, (h4 h3 ) Pump Input = W pump = m (Eq. 5), is the fluid mass flow rate, and h is the enthalpy of the where W pump is the pump power input, m fluid across the pump. Figure 5: Schematic of a Basic Rankine Cycle 2.6 Simplified Combined Cycle Flow Diagram Combined cycle power generation involves many different thermodynamics concepts. Figure 6 below shows the various energy streams flowing in a simplified combined cycle system. It is clear that the working fluid is in a closed circuit apart from the free surface of the hot 9 well. Every time the working fluid flows at a uniform rate around the circuit, it experiences a series of processes making up a thermodynamic cycle. When the turbine system is operating under steady state conditions, the law of conservation of energy dictates, so that the flow of energy entering any system boundary must be equal to the rate of energy leaving the system boundary. This allows energy equations to be developed across each component unit and the whole plant. Figure 6: Schematic of a Simplified Combined Cycle System 2.7 The Complete Flow Diagram & Rated System Performance In order to design and evaluate the new system performance with the solar steam injection, SMUD has provided a basis set of heat balance data in a spreadsheet. The heat balance 10 ), temperature (T), pressure (P), data includes the steam flow conditions, i.e. mass flow rate ( m and enthalpy (h), across all devices (gas turbine, steam turbine, pump, etc.) at ambient temperature of 104 deg. F [7]. The complete flow diagram for the plant is also included in the spreadsheet and is shown in Appendix A1. 2.7.1 Gas Turbine Performance The operating parameters of gas turbine unit (two identical units) are as follows: Gas turbine (GTD 1 or GTD 2) - consumes 7,358 lb/hr of natural gas, and 3,338,800 lb/hr of air at ambient temperature of 104 deg. F and pressure of 14.7 psia, to produce 159.2 MW of electricity and emits 3,434,000 lb/hr of exhaust gas at a temperature of 1137.0 deg. F and pressure of 15.0 psia. [7] Data are extracted from the attached heat balance data provided by SMUD. Since there are two combustion gas turbines, the total power output by combustion is equal to 318.4 MW. 2.7.2 Steam Turbine Performance The operating parameters of steam turbine units (HP, IP, & LP) are extracted from the heat balance data [7] and are summarized in the following table. Table 1: Summary of Original Inlet and Outlet Conditions across All Steam Turbines Properties Q (lb/hr) HP Turbine Inlet (S63) Outlet (S68) 827,881 827,881 IP Turbine Inlet (S67) Outlet (S86) 948,370 948,370 LP Turbine Inlet (S83) Outlet (S78) 1,072,500 1,072,500 T (F) 1051.1 688.2 1050.8 540.9 544.5 101.2 P (psia) 1787.2 439.3 406.8 56.5 56.5 0.99 h (btu/lb) 1512.7 1353.5 1550.5 1303.1 1304.9 1034.4 11 With the given data, the work output from each steam turbine is calculated according to (Eq. 4). In addition, the ideal turbine output can be calculated with assumption of isentropic properties; solving the isentropic outlet enthalpy of the steam (h2S is equal to h(s = s1 & P = P2)) with the extrapolation method on the steam properties table in reference [5]. The isentropic efficiency (η) of the turbines can be calculated as, WTurbine, Actual W (Eq. 6), Turbine, Ideal where η is the isentropic turbine efficiency, and W turbine is the turbine power output. The performance of the steam turbines (HP, IP, and LP) in this project are evaluated, and results are included in Appendix B1 to B3. See Appendix B1 to B3 for the calculation details. The total power output by steam expansion is equal to the sum of 38.6 MW (from HP turbine), 68.8 MW (from IP turbine) and 85.0 MW (from LP turbine), or roughly ~192.4 MW. 2.8 The Summer Time “Issue” During summer period with high-energy demand, the CCPP experiences an undercapacity issue, which is not capable of generating the rated output power. The major cause behind it is due to the effects of the ambient air temperature rise, the air density decreases. As a result, fewer amount of flue gas is available from the combustion turbine thus reduces the amount of steam produced in the HRSG system. As shown in figure 7 below, there is an obvious drop in the power output as the ambient air temperature increases and the air density decreases. This is particularly relevant in the summer time where the temperature is easily over 100 deg. F [8]. Since the amount and the quality of the steam production in the HRSG are directly related to the heat in the gas turbine exhaust. A smaller flow rate of flue gas would decrease the 12 temperature of the steam flow, or if the flow conditions are kept the same, less steam is available, since the HRSG is not as efficient as before. In consequence, less enthalpy (or energy content) is in the steam flow and less power could be generated from the steam turbine power (STG) process. Figure 7: Gas Turbine Performance as Function of Ambient Temperature According to SMUD, data suggests that the power plant has “lost” capacity during summer time. At ambient temperature of around 104 deg. F, the STG system only operates at 88% of its rated capacity; with maximum power output of ~193 MW, only ~171 MW of power is being produced from the steam turbines [9]. This matches the curve and expectation shown in figure 7 earlier. Ultimately, the goal, or design solution, is to bring back the STG lost capacity (~22 MW) of power as much as possible. 13 Chapter 3 PROPOSED SOLUTION & DESIGN PROCEDURE There are many ways to improve the capacity of the STG output. One is to control the intake air to the ISO conditions (15 deg. C. and 100% relative humidity) before entering the gas turbine. However, cooling the intake air would consume additional power (if air conditioning is applied) or reduce the total heat content available in the system (if absorption chiller is used and heat input is extracted from the system). Comparison between different solutions will be included in the final chapter of this report, in order to show the feasibility of the design. Besides, those methods are counter-intuitive to the trend of developing sustainable and renewable energy. To compensate for the lost capacity due to the reduction in the steam flow, SMUD has suggested the use of concentrated solar power (CSP) field as additional boiler to make additional steam and inject the solar steam to make up the lost steam mass in the STG system during summer time when the ambient temperature rises. The fundamental concept behind the idea is similar to adding additional heat into the existing steam flow, in order to make up the lost steam quality in the HRSG process. 3.1 Concentrated Solar Power Concentrated solar power (CSP) is an indirect way to utilize solar power (contrary to photovoltaic), in which the sun’s energy is focused to boil water into steam and then used to drive a turbine to produce electricity in a steam power generation system. These systems use lenses or mirrors and tracking systems to focus a large area of sunlight into a small beam. The concentrated heat beam is then used to heat up the working fluid in the thermal collector [10]. 14 A wide range of concentrating technologies exists; the most developed are the parabolic trough, the concentrating linear fresnel reflector, the Stirling dish and the solar power tower [10] [11]. Below in Figure 8 illustrates the four types of CSP systems previously mentioned. Figure 8: Diagrams of the Four Popular Types of CSP Systems CSP field usually requires large area of sunlight coverage for pure solar power plant. But in this project, the design only requires solar power to supplement the steam power generation process; that is to create some new steam to supplement the lost steam mass, instead of driving the whole plant alone. Therefore, the size of the CSP system is relatively smaller than a pure solar power plant or solar farm. In figure 9 below, a Google map view is shown for the project site location. In order for this modification project to become economically feasible, SMUD has expected an average improvement of ~15 MW (or ~7.8% capacity) requirement from the installation of CSP system and the design [9]. 15 Decommissioned Rancho Seco Power Plant Proposed Re-power of Existing PV Facility Using Thermal Solar Technology - CSP Field Solar Steam & Condensate Return Pipe to CPP Fence Steam Meter Set inside CPP Fence Existing CPP Site 14295 Clay East Road Figure 9: Site Map of the CCPP and the CSP Field 3.2 The Design Parameters Design parameters, i.e. target conditions of the solar steam and condensate return, are required for system designing. These target conditions from the CSP field have been estimated by SMUD design engineers and put on a contractual term by the provider. The actual values and any variations should not fluctuate much from the estimated values and will be determined by the thermal energy purchase agreement with the independent power producer of the CSP field. The reference values, such as the pressure, temperature and enthalpy for steam supply and condensate return at the fence line meter, are showed following, i) Steam (superheated) entering the CPP plant: T = 675 deg. F, P = 499.7 psia, and h = 1343 btu/lb; and 16 ii) Condensate (compressed) leaving the CPP plant: T = 325 deg. F, P = 814.7 psia, and h = 297 btu/lb. Given these conditions of the solar steam and condensate, an critical flow rate of the solar steam required in order to make up the lost capacity (~22MW) in STG process could be calculated as shown below, based on the energy flow concept of the incoming hot solar steam and outgoing cold condensate and ideal/isentropic heat transfer process. critical (hsolar _ steam hcondensate ) Wlost _capacity m 22 MW 7.51 10 7 btu btu critical (1342 297) m hr lb critical 71,866 m lb hr Hence, the critical flow rate of the solar steam required to make up the lost capacity is around 71,866 lb/hr, assuming there is no energy loss in the process. However, that is never possible because heat transfer process is not isentropic in reality; the energy loss has to be (and should be) taken into consideration. Knowing the steam turbine’s limitation of less than 10% increment in flow capacity, the CSP system should only be generating up to 200,000 lb/hr of solar steam (without exceeding the steam turbine maximum design capacity) for STG steam supplementation [9]. This limitation (& requirement) will become a design criterion for different designs/scenarios of solar steam injection and condensate return option, along with the design parameters of the CSP system. 3.3 Different Ways to Utilize Solar Steam In order to create a sound design that can utilize the solar steam efficiently to the STG supplementation, the understanding of the steam flow process is required. This is important 17 because the injection point of the solar steam has to be carefully selected in order for the steam power generation to achieve its best efficiency. Therefore, a brief discussion of the steam flow in the plant is included here. A schematic of the steam flow diagram showing the flow process is listed below in figure 10. To HRSG To Ambient Reheater LPSH HRSG #2 Gas Turbine (GTD2) HP Steam IP Steam LP Steam Condenser Hot Well (CND1) Gas Turbine (GTD1) Reheater LPSH HRSG #1 To HRSG To Ambient Figure 10: Schematic of the Steam Flow Diagram Basically the steam comes from the heat recovery steam generators. Since the HRSG #1 is identical to HRSG #2, the discussion would only focus on either one side of the process (with the other side being synchronous). The high pressure (HP) steam first goes thru the HP steam turbine, and the steam would drive the turbine to make the generator produce electricity. The exit 18 steam (or the cold reheat) is then sent to the reheater and get heated back to the intermediate pressure (IP) steam (or the hot reheat). The hot reheated steam goes thru the IP steam turbine and continues on to the LP steam turbine. Superheated steam is injected around the process, i.e. into the exit steam from the IP turbine, with complete utilization of the heat in the flue gases. As the energy from the steam flow is converted into power, the cold condensate would condense/accumulate in the condenser hot well (CND1). This condensate would be sent to the HRSG and get heated into steam again, and the whole STG cycle repeats. Looking into the system, there are many potential locations for injection or mixing of the solar steam, i.e. injection before the steam turbine, or mixing the solar steam with the cold condensate to reduce the heating load in the HRSG system, etc. Also depending on the condensate return option, i.e. the availability of addition boiler for heating the cold condensate, many different designs/scenarios are possible. With the consideration of solar steam condition, the condensate return option, and the system modification limitation, different scenarios of injection and condensate return are built and evaluated in term of turbine power output, pumping cost, system’s change, net power gain, overall capacity improvement, and additional fuel requirement (if applicable). 19 Chapter 4 DESIGN ANALYSES & DISCUSSION 4.1 Solar Steam Injection Location The solar steam could be injected before the HP steam turbine, however, the inlet condition of the HP steam turbine requires steam flow at P = 1787.2 psia, T = 1051.1 deg. F and h = 1512.7 btu/lb (from Table 1). While the solar steam entering the plant at the fence line meter is only at P = 864.7 psia, 675 deg. F and h = 1343 btu/lb. This means if injection is chosen at before the HP turbine, additional pumping is required to increase the solar steam pressure in order to mix with the steam flow at the HP turbine’s inlet. Nevertheless, the temperature of the steam mixture would be lower than before because the solar steam is originally cooler than the regular steam, thus affecting the whole STG process afterward. If additional heating is applied on the solar steam to bring its temperature up to the inlet condition, much energy is required for the heating. The purpose of this project is to increase the power output with minimal system changes and additional heating. To summarize this, injection before HP turbine is a bad idea because of the fact that additional cost for pumping and heating could outweigh the final gain in the steam power output. Not forget to mention the difficulty of mixing high-pressure high-temperature steam flow and the hardware compatibility problem are always some limiting factors to the design. What about injection of solar steam in between the IP and LP turbines? If that is the case, it would require throttling the pressure of solar steam from 499.7 psia to 56.5 psia. This not a smart idea, since throttling process would reduce the energy content in the solar steam, and this is a waste of energy. The solar steam also loses the driving pressure that could be used to transport within the system. Moreover, letting the additional steam pass thru only one steam turbine would 20 give little improvement to the STG process. Thus, injection in between the IP and LP turbine is not a good way to fully utilize the solar steam energy. Similar reasoning could be applied to injection of solar steam into the cold condensate from the condenser hot well (CND1). It would, theoretically, help reduce the heating load in the HRSG system, since heating up water at warm temperature is always easier than doing so from cool temperature. However, injection into the flow in HRSG would affect many parts of the STG process. This designing requires many other details information (i.e. maximum flow capacity, highest temperature limitation, etc.) for equipments involved in the process in order to complete the analysis. And this is out of the range of the study, as certain information are confidential and not provided by SMUD. One other noteworthy point is that the condensate returning to the CSP field is at higher temperature than the cold condensate (from CND1), which means cold condensate has to be heated before sending it back to the CSP field. This requires the system to return some of the “heated” flow back to the CSP field and becomes somewhat contrary to the project’s goal. So injection into the cold condensate is a complicated idea, and impossible with the current available information. Therefore, the remaining injection location for the solar steam is in between the HP and IP turbines. Looking at the solar steam conditions and the steam conditions before the IP turbine, it is clear that SMUD has intentional chosen the IP region for injection. As the IP turbine’s inlet conditions are P = 406.8 psia, T = 1050.8 deg. F , and h = 1550.5 btu/lb, or the steam flow before the reheater with P = 433.9 psia, T = 687.6 deg. F , and h = 1353.5 btu/lb. The difference between the solar steam and the regular steam is insubstantial. Also the steam mixture would only go thru the IP and LP turbines to generate power without affecting much of the remaining processes in the system; little or no change is required for the system to utilize the solar steam energy. As 21 result, injection before the IP turbine becomes the most reasonable location. In fact, it is the best location for injection. 4.2 Condensate Return Option Injection of solar steam is important in the design process, so is the condensate return to the CSP field. Different condensate return options would directly influence the ultimate design to be employed, since the conditions for the condensate leaving the CCPP at the fence line meter is specified and must be maintained for the whole project becomes retainable. The return condensate is being sent back to the CSP field at a higher energy content (h = 297 btu/lb) and pressure (P = 864.7 psia) than the saturated water directly pumped from the condenser hot well (at S80: h = 68.3 btu/lb & P = 130.3 psia). This means either, 1) the return flow (equal to the incoming solar steam flow) has to be heated up by an additional boiler, or 2) be mixed with some high temperature steam (which is extracted from the system), and be pressurized to the target condition before being pumped back to the CSP field. If the second option is used, the location of steam extraction has to be carefully decided without influencing other parts of the system, while the design still gives the a good power improvement. With this in consideration, hot steam could be extracted either from the solar steam directly (analogous to the principle of saving up a fraction of the solar energy to heat up the cold water), or from the hot reheated steam. These two sources represent the energy outside and inside the system. Extraction from HP steam is fundamentally same as extraction from IP steam; same amount of energy is split from the STG system to heat the cold condensate. But HP steam is not preferred since it affects many parts of the remaining processes. Also LP steam flow is best not be chosen since most of the STG power output is relied on the flow thru the LP turbine. 22 Analyses on the required energy input into the cold saturated water (for the first option) and the required extraction amount from the hot steam (for the second option) are calculated below to aid the design process in the latter part of the report. 4.2.1 Condensate Return Option #1 In option #1, the return condensate is pumped from condenser hot well and heated up by an additional boiler. The concept is illustrated below in figure 11, along with the fluid conditions at different stages of process in table 2 below. Wpump 1 A ○ Saturated Water from Condenser Qin B ○ Pump #1 Wpump 2 C ○ Additional Boiler D ○ Pump #2 Return Condensate to CSP Field Figure 11: Schematic of the Condensate Return Option #1 Given the solar steam flow rate of 200,000 lb/hr, the return flow rate has to equal to the incoming flow for a fully controlled system. The required heating cost and the pumping power consumption could be calculated using the data in table 2. Table 2: Flow Conditions at Different Stages of Process (Refer to Figure 11) Properties Location A Location B Location C Location D T (F) 100.0 100.1 324.5 325 P (psia) 0.99 130.3 130.3 864.7 h (btu/lb) 67.8 68.3 295.6 297 23 The required energy input for heating is calculated as, lb btu btu (hc hb ) 200,000 (295.6 68.3) Q in m 4.55 10 7 . hr lb hr The heating cost is around 4.55x107 btu/hr, or equal to ~13.3 MW. Similarly, the required pumping power consumption to return the fluid is calculated as, lb btu btu (hb ha ) 200,000 (68.3 67.8) W pump1 m 10 . 105 , and hr lb hr lb btu btu (hd hc ) 200,000 (297 295.6) W pump 2 m 2.8 105 . hr lb hr The total pumping cost is around 3.8x105 btu/hr, or roughly equal to 111 kW. 4.2.2 Condensate Return Option #2 In option 2, the return condensate is made of the mixture with cold water and hot steam. The hot steam can be extracted from either the solar steam or the hot reheated steam. Depending on the source, the fluid conditions (i.e. temperature and enthalpy value) would be different, and the amount of extraction required to satisfy the return target condition would be different. The concept of this return option is illustrated in figure 12 below, along with the fluid conditions at different stages of process in table 3 and table 4 (each table with a different source of hot steam listed). Given the hot steam conditions, the amount of extraction from each steam source could be calculated according to the following equations, with conservations of mass and energy. a m b (Conservation of Mass) , m b m c m d m e 200,000 m lb (Conservation of Mass), and hr 24 b hb m c hc m d hd (Conservation of Energy). m The subscript under each variable refers to the specified stage of process shown in figure 12. In addition, for this return option mixing of the cold water and hot steam is involved. The detail of the mixing chamber calculations is not included in this report and is common seen in any thermodynamics textbook. Wpump 1 A ○ Saturated Water from Condenser Qin Pump #1 Wpump 2 B ○ D ○ Mixing Chamber Solar Steam (S.S.) or Hot Reheat (H.R.) E ○ Pump #2 Return Condensate to CSP Field C ○ Figure 12: Schematic of the Condensate Return Option #2 Table 3: Flow Conditions (with Solar Steam as Source) at Different Stages of Process Properties Location A Location B Location D Location E 100.3 Location C (Solar Steam) 675 T (F) 100.0 324.7 325 P (psia) 0.99 499.7 499.7 499.7 864.7 h (btu/lb) 67.8 68.7 1343 296.1 297 Using the data in table 3 for the return method using solar steam as the heat source, the required amount of solar steam extraction is calculated as 25 c Solar Steam = m d (hd hb ) m (hc hb ) lb btu (2961 . 68.7) hr lb 35700 lb . btu hr (1343 68.7) lb 200,000 And the amount of saturated water required for mixing is determined as, b 200,000 Saturated Water = m lb lb c 164,300 . m hr hr The required pumping power cost in the process is calculated as, lb btu btu b (hb ha ) 164,300 (68.7 67.8) W pump1 m 15 . 105 , and hr lb hr lb btu btu e (he hd ) 200,000 (297 2961 W pump 2 m .) 18 . 105 . hr lb hr The total power required for pumping in this return option is about 3.3x105 btu/hr, or ~96.7 kW. Table 4: Flow Conditions (with Hot Reheat as Source) at Different Stages of Process Properties Location A Location B Location D Location E 100.2 Location C (Hot Reheat) 1050.8 T (F) 100.0 324.7 325 P (psia) 0.99 406.8 406.8 406.8 864.7 H (btu/lb) 67.8 68.5 1550.5 296.1 297 Similarly, when the hot reheated steam is used as the heat source, the required amount of hot steam extraction and saturated water can be calculated using the values in table 4. c Hot Reheat Steam = m d (hd hb ) m (hc hb ) lb btu (2961 . 68.5) hr lb 30700 lb , and btu hr (1550.5 68.5) lb 200,000 b 200,000 Saturated Water = m lb lb c 169,300 . m hr hr 26 The required pumping cost is again calculated as follow, lb btu btu b (hb ha ) 169,300 (68.5 67.8) W pump1 m 12 . 105 , and hr lb hr lb btu btu e (he hd ) 200,000 (297 2961 W pump 2 m .) 18 . 105 . hr lb hr The total pumping power consumption in this case is about 3.0x105 btu/hr, or ~87.9 kW. 4.3 Different Scenarios of Solution From the previous discussion, the most optimal injection location is determined in between the HP and IP turbines; the solar steam can either be injected after the reheater (in point S67 on Appendix A1) or at before the reheater (in S44). For the condensate return option, two potential methods are available; either by heating the cold saturated water in the condenser with an extra boiler, or by mixing the cold water with hot steam extraction from the STG process. And if the hot steam extraction is selected, the source could be from the solar steam or the hot reheated steam. Based on these injection and return options, six different scenarios are built and evaluated. Beware that all these design scenarios are based on the previously defined design parameters for the solar steam and return condensate. Other possible scenarios are available (but not satisfying the criteria), and a baseline case is included as comparison at the end of this chapter. The six design scenarios are: Scenario #1: Injection after reheater with return option #1, Scenario #2: Injection after reheater with return option #2 (and solar steam), Scenario #3: Injection after reheater with return option #2 (and hot reheat), Scenario #4: Injection before reheater with return option #1, 27 Scenario #5: Injection before reheater with return option #2 (and solar steam), and Scenario #6: Injection before reheater with return option #2 (and hot reheat). 4.3.1 Scenario #1: Injection after Reheater with Return Option #1 This design advocates injection of solar steam into the flow after the reheater. The solar steam is throttled to the intermediate pressure (around 407 psia) and then mix with the hot reheated steam in a mixing chamber. The steam mixture would pass thru the IP turbine, mix with some superheated steam from the LPSH, and goes thru the LP turbine to generate power. The exit flow from the LP turbine condenses in the condenser hot well. And the return condensate is sent to an additional boiler and get heated to the required target condition before being pumped back to the CSP field. The main flow would go to the HRSG system and the whole STG process repeats again. The schematic of design is illustrated in figure 13 below. A ○ Solar Steam B ○ Mixing Chamber Hot Reheat C ○ E ○ D ○ IP Turbin e To Return Option #1 F ○ LP Turbin e Seal Steam + Superheated Steam Condenser (CND) To HRSG Figure 13: Schematic of the Design Scenario #1 The design performance is based on the improved power output from each affected turbine after the solar steam injection. Conditions of the steam flow from stage A to D are available, and the steam turbine efficiency is already calculated in Appendix B1 to B3. Assuming the isentropic efficiency of each turbine is constant, which is a fair assumption with this level of 28 flow increment; addition of 200,000lb/hr new steam across the IP and LP turbines. Also the throttling process is assumed to be ideal; pressure is dropped without lowering the flow temperature. This is not true in reality, but is kept consistent with the rest of the analyses, so this assumption is fine for the theoretical power improvement analysis being done in follow. Using these available steam conditions, such as mass flow rate, temperature, pressure, and enthalpy values, the new power output from each steam turbine can be calculated with (Eq. 4), as shown below. d (hd he ) & W LP,Turbine m e (he h f ) , W IP,Turbine m is the steam mass flow rate thru the turbine, and h is the actual enthalpy value (or the where m energy stored in the steam flow) across the steam turbine. The steam conditions from stage A to D are listed in table 5 below. The detail of calculating steam condition at location D is just a mixing chamber problem, thus is not replicated here. With the flow condition in location D known, the enthalpies across the IP steam turbine can be calculated with the turbine’s isentropic efficiency (in Appendix A2) and the steam table in reference [5]. The enthalpies across the LP turbine can be estimated once the IP turbine outlet condition is found. The detail of finding enthalpy values across each affected steam turbine is included in the Appendix D1. Table 5: Flow Conditions from Stage A to D in Scenario #1 Properties Location A Location B Location C Location D m (lb/hr) 200,000 200,000 948,370 1,148,370 T (F) 675 664.8 1050.8 982.6 P (psia) 499.7 406.8 406.8 406.8 H (btu/lb) 1343 1343 1550.5 1514.4 29 With the enthalpies across the IP and LP turbines known, the turbine output can be solved easily. From Appendix D1, the steam mixture flow rate going thru the IP turbine is 1,148,370 lb/hr (original flow rate is 948,370 lb/hr and increased by 200,000 lb/hr of solar steam addition), with inlet enthalpy of 1514.4 btu/lb and outlet enthalpy of 1280.6 btu/lb. The rate of work output is, lb btu btu W IP ,Turbine m d (hd he ) 1,148,370 (1514.4 1280.6) 2.68 10 8 . hr lb hr The power output from IP turbine is around 2.68x108 btu/hr, or ~78.5 MW. Similarly, the steam mixture flow rate going thru the LP turbine is 1,272,500 lb/hr (original flow rate is 1,072,500 lb/hr and increased by 200,000 lb/hr of solar steam addition), with inlet enthalpy of 1284.3 btu/lb and outlet enthalpy of 1021.9 btu/lb. The LP power output is, lb btu btu W LP ,Turbine m e (he h f ) 1,272,500 (1284.3 1021.9) 3.34 10 8 . hr lb hr So the power output from LP turbine is around 3.34x108 btu/hr, or ~97.9 MW. Compared with the original performance, in which the IP turbine only gives 68.8 MW and the LP turbine gives around 85.0 MW. The power gain from the solar steam injection is about 22.6 MW. For the additional heating and pumping of the return condensate, the energy costs are 13.3 MW and 111 kW. Therefore, this design scenario would give a net output gain of 9.2 MW. The performances of this design, along with other scenarios (which are discussed in following sections), are summarized in the end of this chapter. Thus, only calculations on the improved power output of each affected turbine is going to be shown in the rest of the design scenarios. 4.3.2 Scenario #2: Injection after Reheater with Return Option #2 & Solar Steam The fundamental in this design scenario #2 is same the first design, with only difference on condensate return option. Instead of using an extra boiler to heat the cold condensate, a fraction of the solar steam is extracted to mix with the cold condensate for the heating 30 requirement on return condensate. The advantage of this design is that no additional boiler is needed. However, less amount of solar energy is available for STG process since less solar steam is injected into the STG process (only 164,300 lb/hr instead of the original 200,000 lb/hr). In figure 14 illustrates the design scenario. A ○ Solar Steam B ○ D ○ Mixing Chamber Hot Reheat C ○ E ○ IP Turbin e To Return Option #2 F ○ LP Turbin e Seal Steam + Superheated Steam Condenser (CND) To HRSG Figure 14: Schematic of the Design Scenario #2 Much of the information required for power output analysis is already determined in the previous design. The only difference is the steam mixture condition at location D, since different amount of solar steam is injected into the STG cycle. However, the method used to find the equilibrium mixing condition is the same. So the steam flow can be fully defined up to location D. The steam conditions from stage A to D are listed in table 6 below. In addition, the detail of finding enthalpy values across each affected steam turbine is included in the Appendix D2. 31 Table 6: Flow Conditions from Stage A to D in Scenario #2 Properties Location A Location B Location C Location D m (lb/hr) 164,300 164,300 948,370 1,112,670 T (F) 675 664.8 1050.8 992.9 P (psia) 499.7 406.8 406.8 406.8 H (btu/lb) 1343 1343 1550.5 1519.9 With the enthalpies across the IP and LP turbines known, the turbine output can be solved like in the previous design. From Appendix D2, the steam mixture flow rate going thru the IP turbine is 1,112,670 lb/hr (original flow rate is 948,370 lb/hr and increased by 164,300 lb/hr of solar steam addition), with inlet enthalpy of 1519.9 btu/lb and outlet enthalpy of 1284.4 btu/lb. The rate of work output is, lb btu btu d (hd he ) 1112 W IP ,Turbine m , ,670 (1519.9 1284.4) 2.62 108 . hr lb hr The power output from IP turbine is around 2.62x108 btu/hr, or ~76.8 MW. Similarly, the steam mixture flow rate going thru the LP turbine is 1,236,800 lb/hr (original flow rate is 1,072,500 lb/hr and increased by 164,300 lb/hr of solar steam addition), with inlet enthalpy of 1287.8 btu/lb and outlet enthalpy of 1024.0 btu/lb. The turbine power output is, lb btu btu e (he h f ) 1,236,800 (1287.8 1024.0) W LP ,Turbine m 3.26 108 . hr lb hr So the power output from LP turbine is around 3.26x108 btu/hr, or ~95.5 MW. 4.3.3 Scenario #3: Injection after Reheater with Return Option #2 & Hot Reheat The scenario #3 is almost the same with scenario #2, except the source of hot steam used to mix with the cold condensate is different. Instead of the solar steam, the hot reheated steam is 32 used to mix with the cold condensate. This scenario is built and evaluated. The pumping costs of the two designs are already found to be different as shown in section 4.2.2. The solar energy is deemed as energy outside the system, while the hot reheated steam is energy inside the plant, extraction of energy at different parts of the system would affect the usage effectiveness of solar energy. Thus, the turbine power output is expected to be different than in others and is worthy of investigation. In figure 15 below the schematic of scenario #3 is shown for reference. A ○ Solar Steam To HRSG B ○ D ○ Mixing Chamber Hot Reheat C ○ E ○ IP Turbin e F ○ LP Turbin e Condenser (CND) Seal Steam + Superheated Steam To Return Option #2 Figure 15: Schematic of the Design Scenario #3 Similar information of flow conditions from stage A to D could be found from the previous scenarios. The difference for the steam condition in location D is considered. The steam conditions from stage A to D are listed in table 7 below. And the detail of enthalpy values calculation across each the IP and LP steam turbines is included in the Appendix D3. 33 Table 7: Flow Conditions from Stage A to D in Scenario #3 Properties Location A Location B Location C Location D m (lb/hr) 200,000 200,000 917,670 1,117,670 T (F) 675 664.8 1050.8 980.8 P (psia) 499.7 406.8 406.8 406.8 H (btu/lb) 1343 1343 1550.5 1513.4 From Appendix D2, the steam mixture flow rate going thru the IP turbine is 1,117,670 lb/hr (hot reheat flow is dropped to 917,670 lb/hr due to extraction and then increased by 200,000 lb/hr of solar steam addition), with inlet enthalpy of 1513.4 btu/lb and outlet enthalpy of 1279.9 btu/lb. The steam turbine power output is, lb btu btu d (hd he ) 1117 W IP ,Turbine m , ,670 (1513.4 1279.9) 2.61 108 . hr lb hr The power output from IP turbine is around 2.61x108 btu/hr, or ~76.5 MW. Similarly, the steam mixture flow rate going thru the LP turbine is 1,241,800 lb/hr (the IP exit flow rate is 1,117670 lb/hr and increased by 124,130 lb/hr of seal steam & superheated steam addition), with inlet enthalpy of 1283.8 btu/lb and outlet enthalpy of 1021.6 btu/lb. The LP turbine power output is, lb btu btu e (he h f ) 1,241,800 (12838 W LP ,Turbine m . 10216 . ) 3.26 108 . hr lb hr Therefore, the power output from LP turbine is around 3.26x108 btu/hr, or ~95.5 MW. 4.3.4 Scenario #4: Injection before Reheater with Return Option #1 For this one and the remaining designs, solar steam is injected into the flow before the reheater. The reheater would then heat the steam mixture back to the regular flow conditions (as 34 in the original state). Since the solar steam would lower the temperature of the regular steam flow after injection and mixing, therefore, additional fuel is required to burn in the CTG system to make more flue gases for the steam mixture heating in order to maintain the original flow conditions across the steam turbines. The amount of required fuel is just enough to heat the steam mixture back to the original state. And the remaining devices within the HRSG unit would not be affected by the injection. This design requires the gas turbine being capable of burning more fuel and intake more air for combustion. And steam mixture flow conditions across the system should be maintained as in the original system (except the mass flow rate is now larger due to the solar steam addition). Otherwise, if no additional fuel is burned and no extra heat is created to compensate the lost quality in the steam mixture, this design would eventually become the design in scenario #1, since equal amount of “solar energy” is added into the system in both cases, and the STG would extract the same amount of added energy into power generation. Back to the design, after the steam mixture is heated back to the design conditions, it would pass thru the IP turbine, mix with the superheated steam from the low pressure superheated (LPSH), and then pass thru the remaining LP turbine before going into the condenser hot well. The cold condensate would then be pumped to an additional boiler, as discussed in return option #1, before sent back to the CSP field. The overall process of this design is illustrated in figure 16 below. 35 A ○ B ○ Solar Steam C ○ Seal Steam E ○ IP Turbin e D ○ Cold Reheat Mixing Chamber F ○ Reheater To Return Option #1 G ○ LP Turbin e Condenser (CND) Seal Steam + Superheated Steam To HRSG Figure 16: Schematic of the Design Scenario #4 The improved power output after the solar steam injection could be calculated accordingly in the previous designs, since the steam flow conditions are already defined in the system. From stage A to D in figure 16, the solar steam and the cold reheat conditions are known. The condition at location D is solved by the conservation of energy principle in a mixing chamber. And then the flow conditions from stage E to G are just the same as in the original system, with the mass flow rate increased by the amount of injected solar steam. The conditions data across the IP and LP turbines could be found in Appendix B2 & B3 separately. Thus, the power output of each steam turbine can be calculated with the flow rate and the enthalpies across the turbine, as defined below, e (he h f ) & W LP,Turbine m f (h f hg ) , W IP,Turbine m is the steam mass flow rate thru the turbine, and h is the actual enthalpy value at the where m specified stage. The flow conditions from stage A to E for this scenario are given in table 8 below. 36 Table 8: Flow Conditions from Stage A to E in Scenario #4 Properties Location A Location B Location C Location D Location E m (lb/hr) 200,000 200,000 935,854 1,135,854 1,148,370 T (F) 675 667.9 674 674.1 1050.8 P (psia) 499.7 433.9 433.9 433.9 406.8 H (btu/lb) 1343 1343 1343.4 1343.3 1550.5 With the flow rate and enthalpy data, the turbine power outputs could be calculated. From Appendix B2, the original steam mass flow rate going thru the IP turbine is 948,370 lb/hr, with inlet enthalpy of 1550.5 btu/lb and outlet enthalpy of 1303.1 btu/lb. With solar steam addition of 200,000 lb/hr, the new flow rate going thru the IP turbine becomes 1,148,370 lb/hr. So the IP power output is, lb btu btu W IP ,Turbine m e (he h f ) 1,148,370 (1550.5 1303.1) 2.84 10 8 . hr lb hr The power output from IP turbine is around 2.84x108 btu/hr, or ~83.2 MW. Similarly, the original steam mass flow rate going thru the LP turbine is 1,072,500 lb/hr, with inlet enthalpy of 1304.9 btu/lb and outlet enthalpy of 1034.4 btu/lb. With the injected solar steam, the mass flow rate becomes 1,272,500 lb/hr. The rate of work output becomes, lb btu btu W LP ,Turbine m f (h f hg ) 1,272,500 (1304.9 1034.4) 3.44 10 8 . hr lb hr The power output from LP turbine is around 3.44x108 btu/hr, or roughly equal to 100.8 MW. Since the steam mixture is reheated back to the original flow conditions, the energy used for reheating could be estimated by multiplying the injected solar steam flow rate with the 37 enthalpy difference across the reheater (he – hd). Thus, the reheating energy used in the process is calculated as below, lb btu btu solar _ steam x (he hd ) 200,000 (1550.5 1343.3) E Re heat m 4.14 10 7 . hr lb hr The total energy required for reheating in this design is around 4.14x107 btu/hr, or ~12.1 MW. 4.3.5 Scenario #5: Injection before Reheater with Return Option #2 & Solar Steam This scenario is analogous to scenario #4 but with return option #2 and solar steam as hot steam source. The solar steam is still injected before the reheater, mix with the cold reheat, and reheat back to the original design condition. The remaining processes are the same as in design #4. This design has only 164,300 lb/hr of solar steam for injection since some fraction of the solar steam is extracted for heating the return condensate. See section 4.3.2 for reference of condensate return description. Figure 17 below illustrates the schematic of this design. The flow conditions in the system are already defined, as explained in the previous scenario. The only difference is the amount of solar steam injected into the system. The steam mixture condition after the mixing process (in location D) should not deviate too much from the one calculated in scenario #4 because the extracted amount of solar steam is not substantial enough to create a significant change in the steam’s enthalpy. Therefore, solving the turbine power outputs is simple with flow conditions from stage A to E shown in table 9 below. 38 A ○ B ○ Solar Steam C ○ Seal Steam E ○ IP Turbin e D ○ Cold Reheat Mixing Chamber F ○ Reheater To Return Option #2 G ○ LP Turbin e Condenser (CND) Seal Steam + Superheated Steam To HRSG Figure 17: Schematic of the Design Scenario #5 Table 9: Flow Conditions from Stage A to E in Scenario #5 Properties Location A Location B Location C Location D Location E m (lb/hr) 164,300 164,300 935,854 1,100,154 1,112,670 T (F) 675 667.9 674 674.1 1050.8 P (psia) 499.7 433.9 433.9 433.9 406.8 H (btu/lb) 1343 1343 1343.4 1343.3 1550.5 Similar to the calculations in previous scenario, the amount of solar steam injected into the system is 164,300 lb/hr instead of 200,000 lb/hr. Thus, the mass flow rate going thru the IP turbine becomes 1,112,670 lb/hr, with inlet enthalpy of 1550.5 btu/lb and outlet enthalpy of 1303.1 btu/lb. The IP turbine output is, lb btu btu e (he h f ) 1112 W IP ,Turbine m , ,670 (1550.5 13031 .) 2.75 108 . hr lb hr The IP turbine output is around 2.75x108 btu/hr, or ~80.6 MW. 39 And to calculate the LP turbine output, the original steam mass flow rate going thru the LP turbine is 1,072,500 lb/hr and is increased to 1,236,800 lb/hr after the solar steam injection. Therefore, the LP power output is calculated as, lb btu btu f (h f hg ) 1,236,800 (1304.9 1034.4) W LP ,Turbine m 3.35 108 . hr lb hr So the LP turbine output from LP turbine is ~3.35x108 btu/hr, or equal to 98.2 MW. The reheating cost in the process is calculated below, lb btu btu solar _ steam x (he hd ) 164,300 (1550.5 1343.3) E Re heat m 3.40 10 7 . hr lb hr The total energy required for reheating in this design is around 3.40x107 btu/hr, or ~10.0 MW. 4.3.6 Scenario #6: Injection before Reheater with Return Option #2 & Hot Reheat The scenario #6 is kind of like scenario 3 in nature, but with solar steam injection before the reheater and flow conditions maintained as in original flow by the reheater. Return option #2 and hot reheat are employed in this case. The flow process in this design is shown in figure 18 below. A ○ B ○ Solar Steam C ○ To HRSG Seal Steam E ○ IP Turbin e D ○ Cold Reheat Mixing Chamber F ○ Reheater G ○ LP Turbin e Seal Steam + Superheated Steam Figure 18: Schematic of the Design Scenario #6 Condenser (CND) To Return Option #2 40 Flow conditions data is given in table 10 below. It is almost the same with scenario #4, but the amount of hot reheat is fewer due to the extraction for the condensate return heating. Table 10: Flow Conditions from Stage A to E in Scenario #6 Properties Location A Location B Location C Location D Location E m (lb/hr) 200,000 200,000 935,854 1,135,854 1,117,670 T (F) 675 667.9 674 674.1 1050.8 P (psia) 499.7 433.9 433.9 433.9 406.8 H (btu/lb) 1343 1343 1343.4 1343.3 1550.5 From Appendix B2, the original hot reheated steam flow rate going to the IP turbine is 948,370 lb/hr. Due to the 200,000 lb/hr solar steam addition, the new steam flow rate is raised to 1,148,370 lb/hr. However, some hot reheat (~30,700 lb/hr) is extracted to mix with the cold condensate for return purpose. The remaining amount of steam flow rate is adjusted to 1,117,670 lb/hr (as shown in location E in table 10). The inlet and outlet enthalpy values are same as the previous two scenarios. So the turbine power output can be calculated as, lb btu btu e (he h f ) 1117 W IP ,Turbine m , ,670 (1550.5 13031 .) 2.77 108 . hr lb hr The power output from IP turbine is about 2.84x108 btu/hr, or ~81.2 MW. Similarly, the steam flow rate going thru the LP turbine, with the seal steam and super heated steam from the LPSH added, is found to be 1,241,800 lb/hr (as the difference of 1,272,500 lb/hr – 30,700 lb/hr). The rate of work output is lb btu btu f (h f hg ) 1,241,800 (1304.9 1034.4) W LP ,Turbine m 3.36 108 . hr lb hr The power output from LP turbine is around 3.36x108 btu/hr, or ~99.1 MW. 41 And for the cost of reheating, it is the same as scenario #4 since the same amount of solar steam is injected and reheated in the system. So the reheating energy used in the process is calculated below, lb btu btu solar _ steam x (he hd ) 200,000 (1550.5 1343.3) E Re heat m 4.14 10 7 . hr lb hr The total energy required for reheating in this design is about 4.14x107 btu/hr, or ~12.1 MW. 4.4 Summary of Performance Results Six different scenarios with solar energy utilization are discussed in section 4.3 previously. The power output improvement are calculated and results are compared with each other in order to determine the most optimal design. These designs are based on the design criteria with the specified target conditions of the solar steam and return condensate, provided from the CSP provider’s contract, with the assumed maximum injection flow rate of 200,000 lb/hr. From Appendix B2 and B3, the original power outputs of the IP and LP steam turbines are calculated. See Appendix B for the calculation details. So knowing the original amount of power generated by each turbine; IP turbine and LP turbine could generate 68.8 MW and 85.0 MW individually; the improved power gain from each design can be found. Also know the amount of lost capacity in power output during the summer time; roughly 22 MW (as the difference of the name plated STG output 193 MW and the actual value of 171 MW); the improved capacity can be estimated as well. In table 11 below, the summary of the performance results, along with the net gain in power and capacity, for all designs discussed earlier is included. 42 Table 11: Summary of Performance Results for All Design Scenarios Performance Results WIP (MW) Design #1 Design #2 Design #3 Design #4 Design #5 Design #6 78.5 76.8 76.5 83.2 80.6 81.2 W IP (MW) 9.7 8.0 7.7 14.4 11.8 12.4 W LP (MW) 97.9 95.5 95.5 100.8 98.2 99.1 W LP (MW) 12.9 10.5 10.5 15.8 13.2 14.1 WTotal 22.6 18.5 18.2 30.2 25.0 26.5 W Pump (kW) (111) (96.7) (87.9) (111) (96.7) (87.9) Extra Boiler? YES NO NO YES NO NO Q in (MW) (13.3) N/A N/A (13.3) N/A N/A Extra Fuel? NO NO NO YES YES YES E Re heat N/A N/A- N/A (12.1) (10.0) (12.1) 9.2 18.4 18.1 4.7 14.9 14.3 4.8% 9.5% 9.4% 2.4% 7.7% 7.4% (MW) (MW) Net Gain (MW) Capacity Gain Based on the performance results, some observations are made about these design scenarios. It is obvious that designs with injection after reheater produce better improvement than those with injection before reheater. This makes sense because reheater has its own thermal efficiency as well. It serves like a heater in nature and is not isentropic. And reheating is not as efficient as direct injection and mixing, since direction injection can transfer almost all the energy into the regular flow. While reheater exchanges heat between the flue gas and the steam flow, and energy is lost to the surrounding in the process. Also, it is better off to use steam from the system for heating in the condensate return than with an additional boiler. The total turbine gain of 43 Design #1 or Design #4 is certainly higher than those within the same injection category are. However, the heating cost from the additional boiler outweighs the gain, and as a result, turns the designs with return option #1 down. Nevertheless, all these values are theoretical, with assumption of ideal throttling, heating, pumping and reheating processes. For instance, as in the analysis shown, when calculating the pumping power consumption, only the required energy for raising the enthalpy of the fluid from low pressure to high pressure is included. However, for any real pump, additional energy is needed to compensate for the friction and vibration losses. Similar reasoning applies to other devices in the STG process. In reality, the actual power gain from the solar steam injection would be less, due to the energy loss in piping transmission, turbine’s efficiency fluctuation by variable flow rate, friction, and throttling. And the cost of power consumption with equipments, such as pump, boiler and reheater, would become larger since their efficiencies are never ideal. Therefore, the actual net improvement on power output (and capcity) would be less than the values shown in table 11. Based on the defined design criteria, Scenario #2 would give the best improvement (theoretically) on power output with a net gain of 18.4 MW, about 9.5% of total capacity. The real output gain will be less than 18.4 MW, but it is still likely to meet the SMUD’s minimally required improvement of 15 MW, even including all types of energy losses previously discussed (i.e. throttling, piping transmission, friction, pumping, etc.). 4.5 The Baseline Scenario All the previous scenarios are based on design parameters with the specified target conditions for the solar steam and return condensate at the injection flow rate of 200,000 lb/hr, and these terms are specified on the energy agreement with the CSP provider. There is a problem 44 with all these design. That is the required heating on the return condensate (due to the design condition), is always deemed as a penalty. Since the condensate leaving the CCPP at the fence line meter is saturated water at 325 deg. F, and it is at a higher temperature than the only source of saturated water available for return option in the system. Thus, heating is necessary in order for the return condensate to meet the specified condition by the agreement. This is already explained in the previous section. However, what if the CSP field can take in cold condensate directly from the condenser hot well (CND) and pump it to the CSP system without heating it to the required condition? As long as the solar steam condition is maintained at the specified condition (T = 675 de. F, P = 499.7 psia, and h = 1343 btu/lb), this could happen with less than 200,000 lb/hr of saturated water being pumped from the condenser hot well. At certain selected flow rate, the CSP can heat up the water to the specified solar steam condition and the steam can be used for injection right away for power generation in STG. This design would be the simplest scenario of solar energy utilization, or namely the baseline case, since it requires the least amount system changes; no extra boiler nor additional fuel is required, and simple injection design. In fact, only pumping power for transporting fluid in and out of the CSP field are required in this case. Assuming the CSP system can originally heat up 200,000 lb/hr of water from 325 deg. F to 675 deg. F (from 297 btu/lb to 1343 btu/lb), the amount of solar energy utilized for heating can be calculated as, lb btu btu flow x (hout hin ) 200,000 (1343 267) E CSP m 2.15 108 . hr lb hr The amount of solar energy utilized for heating is around 2.15x108 btu/hr. And using this same amount of energy to heat up water (that is pumped directly from CND) to the target condition, the adjusted mass flow rate can be found as follow. 45 adjusted (ht arg et hwater ,CND ) 2.15 108 m btu hr btu hr 168,600 lb btu hr (1343 67.8) lb 2.15 108 adjusted m So if cold water is sent directly to the CSP system and is heated to the target condition for solar steam, only roughly 168,600 lb/hr of water is needed from the CND. Using the adjusted rate of solar steam for the STG supplementation process, the steam can be injected into system either before or after the reheater. Looking into table 11 on previous section, the designs with injection after the reheater will always produce more net power gain than those with injection before the reheater of the same condensate return option. Therefore, the baseline scenario will inject the solar steam after the reheater and pump condensate from the condenser hot well directly without any heating. The following figure 19 illustrates the baseline scenario design. A ○ CSP Field / Solar Steam Hot Reheat C ○ Mixing Chamber B ○ D ○ E ○ IP Turbin e Pump F ○ LP Turbin e Condenser (CND) Seal Steam + Superheated Steam Figure 19: The Baseline Design Scenario To HRSG 46 Most of the information required for power output analysis are already calculated in the previous sections. The flow conditions from stage A to D are given in table 12 below. And the actual enthalpy values across each turbine for this case are calculated in Appendix D4. Table 12: Flow Conditions from Stage A to D in Baseline Scenario Properties Location A Location B Location C Location D m (lb/hr) 168,600 168,600 948,370 1,116,970 T (F) 675 664.8 1050.8 991.6 P (psia) 499.7 406.8 406.8 406.8 H (btu/lb) 1343 1343 1550.5 1519.2 Using the results from Appendix D4, with the mass flow rate going thru the IP turbine and the enthalpy values across the turbines, the rate of work outputs are calculated as follow, lb btu btu d (hd he ) 1116 W IP ,Turbine m , ,970 (1519.2 1283.9) 2.63 108 , and hr lb hr lb btu btu e (he h f ) 1,241100 W LP ,Turbine m , (1287.4 1023.7) 3.27 108 . hr lb hr The power output from IP turbine is around 2.63x108 btu/hr, or ~77.1 MW. And the power output from LP turbine is around 3.27x108 btu/hr, or ~95.8 MW. For the cost of pumping, it is simply the power used for pressure raise from 130.3 psia (at S80) to 864.7 psia (at CSP inlet). So the pumping energy cost is, lb ft 3 btu flow P v 2168,600 (864.7 130.3) psia 0.01613 W pump m 3.71 105 hr lb hr Or W pump =108.7 kW. 47 The net gain of power output for the baseline design is around 19.0 MW, which is equivalent to 9.8% improvement on the output capacity. Obviously, as compared with the performance results in table 11, the baseline design provides better power improvement and utilizes solar thermal energy more efficient. 48 Chapter 5 THE BEST DESIGN Compared the performance results of all the design scenarios, the design with the best power improvement seems to be the baseline scenario, with 19.0 MW (or ~9.8% of total capacity) improvement on power output. Without the energy agreement specified by SMUD and CSP provider, which requires heating on the return condensate, there is no doubt about this design being the best. However, based on the specified design criteria, Scenario #2, which has injection after reheater and with solar steam extracted for condensate heating, would become the most optimal design and give a theoretical power gain of 18.4 MW (or ~ 9.5% of total capacity). Although the actual value might be less that 18.4 MW, but the design itself should give the highest usage efficiency of the solar steam, out of those six usage scenarios. Once again, the best design is determined by the terms on the final energy agreement specified by SMUD, and it would be depending on the design conditions of the solar steam, the return condensate, the injection flow rate. But for this study, based on the solar energy utilization efficiency, the baseline design will be the recommended solution. For reference, the schematic of the recommended solution design, which utilizes the baseline scenario, is shown in figure 20 below. To conclude this study, the performance of other available methods used to improve power plant output is included. For instance, using absorption chiller that makes use of the exhaust heat at the gas turbine outlet to cool off the intake air from ambient condition to 15 deg. C, would provide a raise of CTG capacity by 8 to 13% and STG capacity by 7 to 10%. [12] Obviously, utilization of solar thermal energy to supplement the steam turbine power generation 49 process in a combined cycle power plant is indeed a viable and sustainable solution comparable to other available methods. To HRSG To Ambient Reheater LPSH HRSG #2 Gas Turbine (GTD2) Solar Steam CSP System Pump Condensate Return Mixing Chamber HP Steam Condenser Hot Well (CND1) IP Steam LP Steam Gas Turbine (GTD1) Reheater LPSH HRSG #1 To HRSG Figure 20: Schematic of the Recommended Solution Design To Ambient 50 APPENDIX A1 Appendix A1. CPP Flow Diagram (Courtesy to SMUD) CPP Flow Diagram (Courtesy to SMUD) S116 S115 EVC1 EVC2 S118 S117 S109 S92 S93 M11 S56 GTD2 1799.7 P T 1051.7 V9 S100 420198W H 1512.7 HX1 S55 GTD1 S105 410.09 P T 1051.9 S98 S89 815780W H 1353.5 439.27 P T 688.19 S97 467927W H 1551.1 M9 S96 SP7 V7 V8 S69 TMX3 S2 S58 SEAL2 S64 406.75 P T 1051.8 S63 SEAL1 S66 935854 W H 1551.1 1787.2 P T 1051.1 S68 HPTURB 840396W H 1512.7 SP10 S104 S110 V13 S44 S45 S87 S46 S42 S65 HPEVAP M2 S70 S6 S59 S88 M3 IPSH2 S32 S43 V3 436.87 P T 687.93 S86 IPTURB S40 S39 S8 S53 M4 HPEC2 57716W H 1315.5 61.39 P T 566.98 S114 LPSH2 S41 V4 S60 V11 407890W H 1353.5 S67 V15 S7 V5 S108 58121W H 1308.1 434.13 P T 607.76 433.87 P T 687.60 TMX2 S47 HPSH1 S5 407890W H 1353.5 S48 REHR1 S4 1811.1 P T 1052.2 S50 S3 420198W H 1512.7 V10 V2 S49 HPSH2 1959.7 P T 303.66 3084.8W H 276.79 S103 S102 M8 S9 S84 S54 S91 57.28 P T 566.34 V14 57716W H 1315.6 S95 56.54 P T 541.90 S71 S72 957078W H 1303.6 SEAL3 S85 SSR1 S90 S82 56.57 P T 566.23 S83 HPECN1 S73 S16 S61 M1 S30 HRSG #2 S75 S78 S76 S17 PUMP3 Dry Bulb 495.41 MW 104.00 F 6134.6 Btu/kWh LHV Net Output Net Heat Rate CTG Unit Output 159.20 MW 189346 kW 12340 kW STG Output BOP Aux Load 0.99 P T 101.20 S18 S107 S77 SP6 S24 S74 CND1 1.07E6W H 1034.4 S25 V16 HRSG #1 S26 LPDAEV S28 SP1 S27 PUMP2 S29 30.00 P T 80.00 S112 GLD1 CT1 PUMP5 S111 S81 576529 W H 69.82 128.34 P T 101.64 6.90E7W H 47.97 S113 30.00 P T 95.05 S80 6.90E7W H 62.99 PUMP4 192.29 P T 280.90 S21 TMX1 S19 155216W H 250.18 PUMP1 S23S22 PRHTR S79 128.34 P T 101.64 MU1 M7 576529 W H 69.82 15.00 P T 60.01 S35 4723.3W H 27.94 56.54 P T 544.52 LPTURB V6 72439W H 48.04 455.33 P T 78.91 S62 S34 SP4 SP3 SP8 1.07E6W H 1304.9 115432W H 1315.5 M6 M5 SP5 S12 S14 IPEC S31 94631W H 271.34 524.70 P T 300.93 S15 1959.7 P T 303.66 S38 S11 SP2 455.69 P T 436.70 S37 S10 LPSH1 419199W H 276.79 S36 IPSH1 IPEVAP 36220 W H 415.17 S33 S13 SMUD - Cosumnes Power Plant, Performance, 1/15/03 M10 S106 S99 V12 S101 V1 S51 S52 REHR2 467927W H 1551.1 413.04 P T 1052.1 SP9 S57 S1 SMUD Provided CT Heat Rate 524.70 P T 300.93 1916.2W H 271.34 Choked LP Flow - to lower Pipe Velocity in LP piping. 1 x 1 - 100% CT load cases, HPST floor pressure limit set S94 S20 51 APPENDIX B1 Appendix B1. Original HP Steam Turbine Performance Analysis Original HP Steam Turbine Performance Analysis 52 APPENDIX B2 Appendix B2. Original IP Steam Turbine Performance Analysis Original IP Steam Turbine Performance Analysis 53 APPENDIX B3 Appendix B3. Original LP Steam Turbine Performance Analysis Original LP Steam Turbine Performance Analysis 54 APPENDIX C1 Appendix C1. Properties of Solar Steam at Different Pressures Properties of Solar Steam at Different Pressures 55 APPENDIX D1 Appendix D1. Flow Properties Analysis across IP & LP Turbines in Scenario #1 Flow Properties Analysis across IP & LP Turbines in Scenario #1 56 APPENDIX D2 Appendix D2. Flow Properties Analysis across IP & LP Turbines in Scenario #2 Flow Properties Analysis across IP & LP Turbines in Scenario #2 57 APPENDIX D3 Appendix D3. Flow Properties Analysis across IP & LP Turbines in Scenario #3 Flow Properties Analysis across IP & LP Turbines in Scenario #3 58 APPENDIX D4 Appendix D4. 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