THERMOECONOMIC EVALUATION OF A MODIFIED KALINA POWER CYCLE FOR DUAL COOLING APPLICATION

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ABSTRACT

The principles and operation of Kalina power cycle forms the bases for this research work. The goal is to convert waste heat from thermal power plants to useful energy in order to increase efficiency and maximize profit with zero environmental pollution. Over the years alot of modifications have been made to maximize the product of the Kalina power cycle from only electricity to power and cooling. This work introduces a new modification to Kalina power cycle by producing electricity with double cooling application from the same plant. which is a new concept in energy saving systems. Energy, exergy and cost balances of all the plant components were carried out. The cost of the product, the cost of fuel and the life cycle cost analysis and the payback period of the plant were determined. The results show that a turbine output of 299.6KW of power was achieved with cooling capacity of 543.3KW and 534.1KW  from the main system and the subsystem with exergy efficiency of 17.67%. The purchase equipment cost of the plant stood at $468,833.34 while the life cycle cost is $118,586.9 with a payback period of 6 years.







TABLE OF CONTENTS

Title page i
Declaration                                                                                ii
Certification                                                                        iii
Dedication                                                                          iv
Acknowledgements                                          v
Table of Contents                                                                      vi  
List of Tables                                                                                        xi
List of Figures                                                                              xii
Nomenclature                                                                 xiii
Abstract                                                                                                xvi

CHAPTER 1: INTRODUCTION
1.1 Background of Study                                                    1
1.2 Statement of Problem                                                                2
1.3 Objectives of Study                                                                    3
1.4 Scope of Study                                                                              4
1.5 Justification for the Study                                                            5

CHAPTER 2: LITERAURE REVIEW 6
2.2        Kalina Based Extended Exergy Analysis          12
2.3       Latest Modifications in Kalina Power Cycle                       16

CHAPTER 3: MATERIALS AND METHODS
3.1        Kalina Based Cycle Configuration                 16
3.2        System Thermodynamic Modelling                          17
3.2.1    Energy balance for vapour generator (1, 2, 28, 29)        18
3.2.2     Energy balance for separator 1 (2, 3, 10)                    18
3.2.3     Energy balance for turbine (3, 4)                              18
3.2.4     Energy balance for separator 2 (4, 5, 6)                      18
3.2.5      Energy balance for condenser 1 (6, 7, 40, 41)        18
3.2.6      Energy balance for valve 3 (7, 8)                           19
3.2.7      Energy balance for evaporator 1 (8, 9, 38, 39)         19
3.2.8      Energy balance for valve 2 (5, 42)                    19
3.2.9       Energy balance for heat exchanger 2 (13, 14 16, 17)     20
3.2.10     Energy balance for valve 1 (10, 11)                20
3.2.11     Energy balance for condenser 2 (14, 15, 34, 35)   20
3.2.12     Energy balance for pump 1 (15, 16)              20
3.2.13     Energy balance for heat exchanger 1 (1, 17, 12, 43)        
3.2.14     Energy balance for desorber (44, 43, 24, 25, 18)         21
3.2.15     Energy balance for condenser 3 (18, 19, 32, 33)                  21
3.2.16     Energy balance for valve 4 (19, 20)                                              22
3.2.17     Energy balance for evaporator 2 (20, 36, 21, 37)                        22
3.2.18     Energy balance for heat exchanger 3 (23, 24, 25, 26)                    22
3.2.19     Energy balance for valve 5 (26, 27)                                        23
3.2.20     Energy balance for pump 2 (22, 23)                                                23
3.2.21     Energy balance for absorber (21, 27, 30, 22, 31)                        23
3.3         Exergy Modeling                                                                          23
3.3.1     Exergy balance for vapour generator (1, 2, 28, 29)                        24
3.3.2    Exergy balance for separator 1 (2, 3, 10)                                           25
 3.3.3     Exergy balance for turbine (3, 4)                                            25
3.3.4     Exergy balance for separator 2 (4, 5, 6)                                          25
3.3.5      Exergy balance for condenser 1 (6, 7, 40, 41)                          26
3.3.6      Exergy balance for valve 3 (7, 8)                                  26
3.3.7      Exergy balance for evaporator 1 (8, 9, 38, 39)                                26
3.3.8      Exergy balance for valve 2 (5, 42)                                                27
3.3.9       Exergy balance for heat exchanger 2 (13, 14 16, 17)              27
3.3.10     Exergy balance for valve 1 (10, 11)                                              27
3.3.11     Exergy balance for condenser 2 (14, 15, 34, 35)                      27
3.3.12     Exergy balance for pump 1 (15, 16)                                              28
3.3.13     Exergy balance for heat exchanger 1 (1, 17, 12, 43)                    28
3.3.14     Exergy balance for desorber (44, 43, 24, 25, 18)              29
3.3.15     Exergy balance for condenser 3 (18, 19, 32, 33)                        29
3.3.16     Exergy balance for valve 4 (19, 20)                                              29
3.3.17     Exergy balance for evaporator 2 (20, 36, 21, 37)                        30
3.3.18     Exergy balance for heat exchanger 3 (23, 24, 25, 26)                    30
3.3.19     Exergy balance for valve 5 (26, 27)                                          30
3.3.20     Exergy balance for pump 2 (22, 23)                                    31
3.3.21     Exergy balance for absorber (21, 27, 30, 22, 31)                    31
 3.4        Exergoeconomic Analysis                                                              31
3.4.1      Exergoeconomic balance equation                                        32
3.4.2     Cost balance for vapour generator (1, 2, 28, 29)                            33                                                        
3.4.3     Cost balance for separator 1 (2, 3, 10)                            33 
3.4.4     Cost balance for turbine (3, 4)                                                  33
3.4.5     Cost balance for separator 2 (4, 5, 6)                                              34
3.4.6      Cost balance for condenser 1 (6, 7, 40, 41)                                  34
3.4.7      Cost balance for valve 3 (7, 8)                                                    34
3.4.8      Cost balance for evaporator 1 (8, 9, 38, 39)                                34
3.4.9      Cost balance for valve 2 (5, 42)                                                34
3.4.10     Cost balance for heat exchanger 2 (13, 14 16, 17)                        34
3.4.11     Cost balance for valve 1 (10, 11)                                              35
3.4.12     Cost balance for condenser 2 (14, 15, 34, 35)                               35
3.4.13     Cost balance for pump 1 (15, 16)                                              35
3.4.14     Cost balance for heat exchanger 1 (1, 17, 12, 43)                           35
3.4.15     Cost balance for desorber (44, 43, 24, 25, 18)                                35
3.4.16     Cost balance for condenser 3 (18, 19, 32, 33)                                36
3.4.17     Cost balance for valve 4 (19, 20)                                                   36
3.4.18     Cost balance for evaporator 2 (20, 36, 21, 37)                          36
3.4.19     Cost balance for absorber (21, 30, 22, 27, 31)                                 36
3.4.20     Cost balance for pump 2 (22, 23)                                                  36
3.4.21     Cost balance for valve 5 (26, 27)                                            36
3.4.22     Cost balance for heat exchanger 3 (23, 24, 25, 26)                      37
3.5          Cost Rates of ORC Components                                                    37

CHAPTER 4   RESULTS AND DISCUSSION                                         38
4.1   Thermodynamic Performance Analysis of the System                  38
4.2   Thermodynamic Assumptions                                      38
4.3    Simulation of the System at Design Conditions                                39
4.4    Performance Index of the System at Design Conditions                      42
4.5    Component Analysis of the System                                                         43
4.6    Parametric Analysis of the System at Stated Conditions                       44
4.6.1  Effect of expander inlet pressure on system 
         efficiency and turbine mass flow rate            45

4.6.2  Effect of expander inlet press. on system efficiency and turb 
         ammonia mass fraction      46 

4.6.3   Effect of expander inlet pressure on kalina evap. cooling 
          and ammonia mass fract.        47

4.6.4   Effect of expander inlet pressure on turbine output              48

4.6.5   Effect of expander inlet temperature on turbine output
          and kalina evap. cooling              48

4.6.6   Effect of expander inlet temperature on ammonia mass 
           flow and mass fraction              50

4.6.7   Effect of expander inlet temperature on kalina energy 
            and exergy efficiency                  50

4.7      Exergoeconomic Analysis of the System                                      51

4.8      Results from Optimization of the System                              56

CHAPTER 5: CONCLUSION AND RECOMMENDATIONS             58
5.1      Conclusion                                                                            58
5.1.1   Contributions to knowledge                                                      59
5.2      Recommendations                                                          59                                                                          
           References                                                      65
           Appendix                                                                                      71






LIST OF TABLES
                                                                                                                    
4.1    Basic system operating data                                                        42

4.2   Simulation result of the novel system                                                  43

4.3   Thermodynamic performance of the system                            44 

4.4    Exergy destruction of the system                                                        45

4.5    Summary of state points exergy and exergoeconomic values        53

4.6   Summary of component exergoeconomic performance index              54

4.7   Life cycle cost analysis                                                                           57 







LIST OF FIGURES
                                                                                                                    
3.1   Kalina based power generation and dual cooling cycle        17 
                                                                           
4.1  Effect of expander inlet pressure on system efficiency and 
      turbine mass flow rate              46 

4.2   Effect of expander inlet pressure on system efficiency and
        turbine ammonia mass fract.  47
                                                                                                                  
4.3  Effect of expander inlet pressure on Kalina evaporator cooling and ammonia mass fract.    48 
                                                                  
4.4  Effect of expander inlet pressure on turbine output                                 49 
                        
4.5  Effect of expander inlet temperature on turbine output and 
       Kalina evaporator cooling        50    
                     
4.6  Effect of expander inlet temperature on ammonia mass 
       flow and mass fraction                    51   
               
4.7  Effect of expander inlet temperature on Kalina energy and 
       exergy efficiency                      52

4.8  Effect of temperature  of flue gas on energy cost and turbine output    55                         





NOMENCLATURE

ORC        Organic Rankine Cycle
KCS                          Kalina Cycle System
CCHP            Combined Cooling Heating and Power
CPC            Compound Parabolic Collector
AC          Absorption Chillier
EES          Engineering Equation Solver
USD  United States Dollar
KWh      Kilo Watt Hour
LiBr                  Lithium Bromide
UCE            Unit Cost of Electricity
LCC          Life Cycle Cost
PEC          Purchase Equipment Cost
BEP              Break Even Point
PBT                Pay Back Time
ALCC                  Annualized Life Cycle
e                      Specific Exergy
c                    Average Cost Per Unit Exergy
AB              Afterburner
MIL            Military Mode
h                        Enthalpy
VAS                  Vapour Absorption System
SP1                Separator 1
VG            Vapour Generator
CND1    Condenser 1
CRF                Capital Recovery Factor
N                  Life Span of Plant in Years
E_DP                  Daily Energy Production
A_EP              Annual Energy Production
C_q                    Plant Component Cost
Z_K                  Equipment Cost
Ζ_k                      Cost Rate of Equipment
ĊDK                          Cost of Exergy Destruction
ĊFK            Cost of Fuel
 ĊPK                Cost of Product
f_k                      Exergoeconomic Factor
η_ex                    Exergy Efficiency
η_th                          Thermal Efficiency
E_e                    Exergy Efflux
E_i                        Exergy Influx
W_net                Net Work
T_ο                              Ambient Temperature
T_evap                          Evaporator Temperature
c_(F,K)                            Average Cost of Fuel
c_(P,K)                            Average Cost of Product
ṁ                     Mass Flow Rate
W_P                   Pump Work
ϕ                      Maintenance Factor
Ċ                      Cost of Exergy Stream
ĊCI                    Capital Investment Cost
ĊOM Operation and Maintenance Cost                                         
















CHAPTER 1
INTRODUCTION

1.1 BACKGROUND OF THE STUDY
The ever increasing cost of energy and the finite nature of resources have prompted the utilization of low-grade heat sources for power generation. These waste heat sources comprises low-temperature geothermal energy, solar irradiance, and industrial waste. And with recent advancement in technology, there is great interest in designing more efficient, reliable, and cost-effective energy conversion systems which will provide a means of utilization of low temperature heat sources which might not otherwise be used. Kalina and organic Rankine cycles (ORCs) are potentially feasible alternatives proficient in recovering energy efficiently from low-temperature heat sources. The development of ORCs using an organic fluid instead of water as working fluid has been applied in many real applications for recovering geothermal and waste heat for power generation (Badr et al., 1990; Hung et al., 1997; Abam et al., 2017).

When working with a low-temperature heat source, a binary working fluid such as an ammonia–water mixture offers an enhanced thermal performance due to better thermal matching achieved at the evaporator and condenser (Angelino et al., 1998; Ibrahim and Klein, 1996). This cycle configuration was achieved in the early 1980s when Kalina proposed a new family of thermodynamic power cycles using an ammonia/water mixture as the working fluid. (Kalina, 1982; Kalina, 1983; Kalina, 1984). These cycles have been proposed for a variety of applications ranging from bottoming cycles for gas turbines to providing power from lower temperature waste heat sources (Kalina, 1989). 

Performance simulations of Kalina based cycles have included both first and second law models where the concept of exergy have been applied (Cao et al., 2017). The exergy concept provides a more realistic view of all thermodynamic processes. A comprehensive exergy analysis involving the degree of exergy destruction identifies the location, the magnitude and the source of thermodynamic inefficiencies in thermal systems (Saidur and Jamaluddin, 2007). This knowledge is useful in directing the attention of process design researchers and practicing engineers to those components of the system analysed that offer the maximum opportunities for improvement (Dincer, 2007). Exergy analysis usually calculates the thermodynamic performance and the inefficiency of an energy system. In addition, the concepts of exergy in recent times have been applied in analysing the performance of a wide range of thermal systems (Antonio et al., 1993; Abam et al., 2012; Carton, 2000; Sahin, 1995). 

A conventional exergy analysis recognizes the highest exergy destruction within the system components or the process that cause the high exergy destruction. This facilitates the efficiency improvement of a system’s components by reducing the exergy destruction rates within it (Kelly et al., 2009). Nevertheless, the conventional exergy methods are not appropriate in revealing the interactions which exists among the system components or to estimate the real potential for improvement. With no consideration of the interactions in the components, optimization strategies can be mistaken, especially when application is made on complex systems with a large number of mutually affected components. The knowledge of these components’ interactions and the ability of the improvement for each important component are imperative to improve the overall system (Morosuk and Tsatsaronis, 2009). Consequently, understanding the root of the rate of exergy being destroyed in a component’s process is imperative. The theory of splitting the exergy destruction helps to further understand the exergy destruction values from an exergy analysis and hence improves the accuracy of the analysis. It assists in the improvement of energy-related systems. Performance of this process can only be achieved through an advanced exergy analysis method (Morosuk and Tsatsaronis, 2009). Interactions within components determine the exogenous exergy destruction while operating inefficiencies within the component determine the endogenous exergy destruction. Additionally, part of the overall irreversibilities which exists due to physical, technological and economic constraints and cannot be avoided is termed unavoidable exergy destruction. On the other hand, irreversibilities that can be prevented through design improvements form the avoidable exergy destruction. The exogenous and endogenous parts can further be split into avoidable and unavoidable parts facilitating the understanding of component interconnections and the estimation of the potential for improvement (Petrakopoulou et al., 2012). 

Many studies have been conducted on simultaneous cooling and power system using the Kalina cycle which is based on ammonia–water as working fluid. Goswami (1998) proposed a new combined cooling and power system to produce both power and refrigeration output simultaneously with only one heat source using ammonia–water as the working fluid. The proposed system replaced an ammonia–water turbine for a condenser and a valve in ammonia–water absorption refrigeration cycle, achieving a novel combination of a Rankine cycle and an absorption refrigeration cycle. Goswami and Xu (1999) as well as Xu et al. (2000) modified the proposed combined system by adding a super heater between the condenser/rectifier and turbine to increase the turbine inlet temperature and produce more power output. Padilla et al. (2010) examined the effects of boiler pressures, ammonia concentrations, isentropic turbine efficiencies and heat source temperature on the net output, quantity of cooling and effective efficiencies of the Goswami cycle. The results showed that the turbine performance had significant effect on the net output and cooling outputs of the Goswami cycle. Kim et al. (2013) investigated the effects of numerous key parameters on the performance of the Goswami cycle. The results showed that with an increase in turbine inlet pressure, there is a decrease in the system net output, while the specific cooling capacity, total utilization work and thermal efficiency of the system had a maximal value respectively. Also, in addition to these modifications on the basic Kalina cycle, Hasan et al. (2003), Vidal et al. (2006) and Fontalvo et al. (2013) all employed the exergy analysis method to evaluate the exergy destructions in the Goswami cycle.

Accordingly, this research aims at contributing to knowledge by presenting the thermodynamic and thermoeconomic analysis of a modified Kalina power cycle for dual cooling application. A very detailed consideration of this analysis using exergy methods and cost estimations will facilitate the theoretical development of this power plant.

1.2   STATEMENT OF PROBLEM
Many studies have been conducted on simultaneous cooling and power systems using the Kalina cycle which is based on ammonia–water as working fluid. Wang et al. (2016) proposed a new combined cooling and power system using ammonia–water mixture to utilizing low grade heat sources, such as industrial waste heat, solar energy and geothermal energy in order to achieve both power and cooling supply for users. The proposed system combines a Kalina cycle and an ammonia–water absorption refrigeration cycle, in which the ammonia–water turbine exhaust was delivered to a separator to extract purer ammonia vapour. In its description, the purer ammonia vapour enters an evaporator to generate refrigeration output after being condensed and throttled. 

 With such higher energy conversion cycles being developed, the utilization of a single heat source for multiple generation in bottoming cycle became necessary. This problem is attempted with the configuration of a Kalina based system for power generation and dual cooling application. The thermodynamics, thermoeconomics, and optimization of this arrangement is imperative in determining optimal sizing and choice of operating variables.

1.3 AIM AND OBJECTIVES OF STUDY
The aim of this study is to make a thermodynamic and thermoeconomic evaluation of a modified Kalina power cycle for dual cooling application. The specific objectives include to:

i. evaluate the thermodynamic and exergy modelling of an improved power-cooling cogeneration system based on Kalina cycle.

ii. evaluate the thermoeconomic assessment of the combined cogeneration system, and

iii. determine the life cycle cost analysis of the cogeneration power plant.

1.4 SCOPE OF STUDY
The scope of this research work covers the following:

i. Modelling of the entire system using exergy analysis.

ii. Presentation of complete thermoeconomic models for the entire plant components.

iii. Determination of the cost rates of the working fluid at each state point.

iv. Determination of the cost of the plant and its components.

v. Determination of the life cycle cost analysis of the combined cogeneration power plant.

1.5   JUSTIFICATION FOR THE STUDY
Various studies on simultaneous cooling and power generation system using the Kalina cycle which is based on ammonia–water as working fluid are in open literature. Exergy models have been developed and applied in these systems for simulations and thermoeconomic evaluations. For the particular Kalina based structure which features power production and multiple cooling applications, its configuration is not yet in open literature. The research is justified by the development of modified Kalina cycle for power generation and dual cooling application. A very detailed thermodynamic modeling and simulation relating exergy and thermoeconomic implication of this system justify this research since none of such exist in the open literature domain.


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