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Wiley-ASME Press Series List

 

Combined Cooling, Heating, and Power Systems: Modeling, Optimization, and Operation Shi August 2017
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine Dorfman February 2017
Bioprocessing Piping and Equipment Design: A Companion Guide for the ASME BPE Standard Huitt December 2016
Nonlinear Regression Modeling for Engineering Applications Rhinehart September 2016
Fundamentals of Mechanical VibrationsCai May 2016
Introduction to Dynamics and Control of Mechanical Engineering Systems To March 2016

Combined Cooling, Heating, and Power Systems

Modeling, Optimization, and Operation

 

Yang Shi

University of Victoria, Canada

 

Mingxi Liu

University of Victoria, Canada

 

Fang Fang

North China Electric Power University, China

 

 

 

Wiley Logo

To my beloved parents and family

–Yang Shi

To my beloved parents and Jingwen

–Mingxi Liu

To my beloved parents and family

–Fang Fang

List of Figures

  1. Figure 1.1 A typical CCHP system
  2. Figure 1.2 Capstone C200 micro-turbine with power output of 190 kW
  3. Figure 1.3 Absorption process
  4. Figure 1.4 Separation process
  5. Figure 1.5 Existing CHP/CCHP sites classified by prime movers
  6. Figure 1.6 US CHP/CCHP development from 1970 [220]
  7. Figure 1.7 The installed capacity of CHP/CCHP plants classified by applications in the US
  8. Figure 1.9 The CHP/CCHP installed capacity in the UK [223]
  9. Figure 1.9 The installed capacity of CHP plants classified by applications in the UK [223]
  10. Figure 1.10 The installed capacity of CHP in China [225]
  11. Figure 1.11 Share of CHP capacity in thermal power generation [225]
  12. Figure 2.1 Schematic of a typical SP system
  13. Figure 2.2 Schematic of a typical CCHP system
  14. Figure 2.3 Flow chart of the decision-making process of the proposed optimal switching operation strategy for the CCHP system based on two operating modes
  15. Figure 2.4 Hourly cooling, heating and power loads of the hypothetical hotel in representative days of spring/autumn, summer and winter
  16. Figure 2.5 Space division of operating modes for the hypothetical CCHP system: (a) Equal-Loads Interface; and (b) Equal-Modes Interface
  17. Figure 2.6 Scheduled status of operating modes and energy supply for representative days' energy requirements of the hypothetical CCHP system: (a) scheduled by the proposed strategy; and (b) scheduled by the HETS
  18. Figure 2.7 Relative values of PEC, COST, and CDE, and daily EC values
  19. Figure 3.1 The CCHP system with hybrid chillers implemented
  20. Figure 3.2 Space of c03-math-065, c03-math-066, and c03-math-067
  21. Figure 3.3 One year energy consumption of a hypothetical hotel in Victoria, BC, Canada
  22. Figure 3.4 c03-math-303 function value of CCHP system without capacity limit
  23. Figure 3.5 c03-math-305 function value of different PGU capacities from 1 to 500 kW
  24. Figure 3.6 c03-math-313 function value with 96 kW PGU
  25. Figure 3.7 Variation of electric cooling to cool load ratio in a whole year
  26. Figure 4.1 Comparison of three strategies in a summer day
  27. Figure 4.2 Comparison of three strategies in a winter day
  28. Figure 4.3 Comparison of three strategies in a spring day
  29. Figure 4.4 c04-math-129 of PGU capacity from 0 to 200 kW
  30. Figure 4.5 c04-math-131 of PGU capacity from 0 to 200 kW
  31. Figure 4.6 Variation of the electric cooling to cool load ratio
  32. Figure 5.1 OLS-TSRLS algorithm flowchart
  33. Figure 5.2 Heating loads correlogram
  34. Figure 5.3 Electrical loads correlogram
  35. Figure 5.4 Cooling loads correlogram
  36. Figure 5.5 Comparison between forecasted and actual heating loads
  37. Figure 5.6 Error between forecasted and actual heating loads
  38. Figure 5.7 Comparison between forecasted and actual electric loads
  39. Figure 5.8 Error between forecasted and actual electrical loads
  40. Figure 5.9 Comparison between forecasted and actual cooling loads
  41. Figure 5.10 Error between forecasted and actual cooling loads
  42. Figure 5.11 Comparison of PES
  43. Figure 5.12 Comparison of ATC
  44. Figure 5.13 Comparison of CDE
  45. Figure 5.14 Case distribution
  46. Figure 6.1 Structure diagram of a CCHP-ORC system
  47. Figure 6.2 Schematic of a basic ORC system
  48. Figure 6.3 Decision-making process of optimal operation strategy for normal load cases
  49. Figure 6.4 Hourly cooling, heating and power loads of the hypothetical hotel in representative days of spring, summer, autumn, and winter
  50. Figure 6.5 Hourly outputs of the electric chiller and ORC in representative days of spring, summer, autumn, and winter
  51. Figure 6.6 Radar charts of three criteria for the CCHP-ORC system and the CCHP system in representative days of spring, summer, autumn, and winter

List of Tables

  1. Table 1.1 Comparisons among different prime movers
  2. Table 1.2 Comparisons among different thermally activated technologies
  3. Table 1.3 Comparisons among different system configurations
  4. Table 2.1 Primary parameters of the hypothetical hotel using EnergyPlus
  5. Table 2.2 System coefficients
  6. Table 2.3 Performance criteria of the whole heating season with different systems and optimal operation strategies
  7. Table 3.1 Construction parameters of the hypothetical hotel
  8. Table 3.2 System coefficients
  9. Table 3.3 EC values of SP and CCHP systems
  10. Table 4.1 System coefficients
  11. Table 5.1 Average normed error of different models using six sets of c05-math-225, c05-math-226, and c05-math-227
  12. Table 5.2 Performance of different systems using forecasted data obtained from the proposed prediction method
  13. Table 5.3 Performance of different systems using 1-lag forecasted data
  14. Table 5.4 Performance of different systems using TSLS forecasted data
  15. Table 6.1 Technical parameters of the CCHP-ORC system and the CCHP system for the hypothetical hotel
  16. Table 6.2 Equipment capacities and unit prices of the CCHP-ORC system and the CCHP system
  17. Table 6.3 Daily values of performance criteria for the CCHP-ORC system and the CCHP system in representative days

Series Preface

The Wiley-ASME Press Series in Mechanical Engineering brings together two established leaders in mechanical engineering publishing to deliver high-quality, peer-reviewed books covering topics of current interest to engineers and researchers worldwide. The series publishes across the breadth of mechanical engineering, comprising research, design and development, and manufacturing. It includes monographs, references and course texts.

Prospective topics include emerging and advanced technologies in Engineering Design; Computer-Aided Design; Energy Conversion & Resources; Heat Transfer; Manufacturing & Processing; Systems & Devices; Renewable Energy; Robotics; and Biotechnology.

Preface

Combined cooling, heating and power (CCHP) is a feature of trigeneration systems able to supply cooling, heating, and electricity simultaneously. CCHP systems can be employed to provide buildings with cooling, heating, electricity, hot water and other uses of thermal energy. CCHP features with the great potential of dramatically increasing resource energy efficiency and reducing carbon dioxide emissions. Our intention through this book is to provide a timely account as well as an introductory exposure to the main developments in modeling, optimization, and operation of CCHP systems. At the time of conceiving this project, we believed that the development of a systematic framework on modeling and optimal operation design of CCHP systems was of paramount importance. A concise overview of the research area is presented in Chapter 1. We hope it will help readers arrive at a broader and more balanced view of CCHP systems. The remainder of the book presents the core contents, which are divided into five chapters. In Chapter 2, based on two conventional operation strategies, that is, following electric load (FEL) and following thermal load (FTL), a novel optimal switching operation strategy is presented. Chapter 3 presents a configuration with hybrid chillers and design of the optimal operation strategy. In Chapter 4, based on the concept of energy hub, a system matrix-based model is proposed to systematically facilitate the design of optimal operation strategies. Chapter 5 discusses the load prediction problem which plays an instrumental role in designing CCHP operation schemes. In Chapter 6, a complementary CCHP-organic Rankine cycle (CCHP-ORC) system is introduced.

The writing of this monograph has benefitted greatly from discussions with many colleagues. We wish to express our heartfelt gratitude to Professor Jizhen Liu who shared many of his ideas and visions with us. Others who contributed directly by means of joint research on the subject include Le Wei, Qinghua Wang, Hui Zhang, and Huiping Li, with whom we have enjoyed many collaborations. We have also benefitted from constructive and enlightening discussions with Jianhua Zhang, Guolian Hou, Jian Wu, Ji Huang, Xiaotao Liu, Chao Shen, Yuanye Chen, Bingxian Mu, Jicheng Chen, and Kunwu Zhang, among others. Support from the Natural Sciences and Engineering Research Council of Canada, from the National Natural Science Foundation of China (under grant 61473116 and 51676068) has been very helpful and is gratefully acknowledged. Finally, as a way of expressing our deep gratitude and indebtedness, the first author dedicates this book to his wife Jing, and Eric and Adam, the second author to his wife Jingwen, and the third author to his wife Le, and Bowen and Yihe, for their great support and encouragement on this project.

Yang Shi, Mingxi Liu, Fang Fang
Victoria, BC, Canada

Acknowledgment

The authors would like to thank all those who have helped in accomplishing this book.

Acronyms

AFC Alkaline Fuel Cell
ANN Artificial Neural Network
AR AutoRegressive
ARIMA AutoRegressive Integrated Moving Average
ARMA AutoRegressive Moving Average
ARMAX AutoRegressive Moving Average with eXogenous inputs
ATC Annual Total Cost
ATCS Annual Total Cost Saving
ATD Aggregate Thermal Demand
BFGS Broyden–Fletcher–Goldfarb–Shanno
CCHP Combined Cooling, Heating, and Power
CDE Carbon Dioxide Emissions
CDER Carbon Dioxide Emissions Reductions
CHP Combined Heating and Power
CITHR Cooling-side Incremental Trigeneration Heat Rate
COP Coefficient of Performance
DHC District Heating and Cooling
DOE Department of Energy
EA Evolutionary-Algorithmic
EBMUD East Bay Municipal Utility District
EC Evaluation Criteria
EDM Electric Demand Management
EITHR Electrical-side Incremental Trigeneration Heat Rate
EPA Environmental Protection Agency
EUETS European Union Emissions Trading Scheme
ec Electric Chiller
FCL Following Constant Load
FEL Following the Electric Load
FTL Following the Thermal Load
GA Genetic Algorithm
GHG GreenHouse Gas
GRG Generalized Reduced Gradient
GRU Gainsville Regional Utilities
HETL Hybrid Electric-Thermal Load
hrc Recovered Heat for Cooling
hrh Recovered Heat for Heating
HRSG Heat Recovery Steam Generator
hrs Heat Recovery System
HTC Hourly Total Cost
HTCS Hourly Total Cost Savings
HVAC Heating, Ventilation, and Air Conditioning
IC Internal Combustion
IV Instrument Variable
KKT Karush–Kuhn–Tucker
LP Linear Programming
LS Least Squares
MA Moving Average
MAE Mean Absolute Error
MAFC Magnesium-Air Fuel Cell
MAPE Mean Absolute Percentage Error
MCFC Molten Carbonate Fuel Cell
MILP Mixed Integer Linear Programming
MINLP Mixed Integer Non-Linear Programming
MSPE Mean Square Prediction Error
MPC Model Predictive Control
OLS Ordinary Least Squares
ORC Organic Rankine Cycle
PAFC Phosphoric Acid Fuel Cell
PEMFC Proton Exchange Membrane Fuel Cell
PEC Primary Energy Consumption
PES Primary Energy Savings
PGU Power Generation Unit
PURPA Public Utility Regulatory Policy Act
PV PhotoVoltaic
QP Quadratic Programming
SNPV System Net Present Value
SOFC Solid Oxide Fuel Cell
SP Separation Production
SQP Sequential Quadratic Programming
TDM Thermal Demand Management
TITHR Thermal-side Incremental Trigeneration Heat Rate
TPES Trigeneration Primary Energy Saving
TRR Total Revenue Requirement
TSLS Two-Stage Least Squares
TSRLS Two-Stage Recursive Least Squares
WADE World Alliance for Decentralized Energy

Symbols

c0x-math-001 The c0x-math-002th equality constraint of variable c0x-math-003
ATC Annual total cost
ATCS Annual total cost savings
c0x-math-004 Unit price of the absorption chiller
c0x-math-005 Unit price of the boiler
c0x-math-006 Carbon tax rate
c0x-math-007 Electricity rate
c0x-math-008 Unit price of the electric chiller
c0x-math-009 Natural gas rate
c0x-math-010 Unit price of the heating unit
c0x-math-011 The c0x-math-012th inequality constraint of variable c0x-math-013
c0x-math-014 Unit price of the PGU
c0x-math-015 Electricity sold-back rates
CDE Carbon dioxide emissions
c0x-math-016 Carbon dioxide emissions of the CCHP system
c0x-math-017 Carbon dioxide emissions of the CCHP system under FEL
c0x-math-018 Carbon dioxide emissions of the CCHP system under FTL
c0x-math-019 Carbon dioxide emissions of the SP system
CDER Carbon dioxide emissions reductions
c0x-math-020 Coefficient of performance of the absorption chiller
c0x-math-021 Coefficient of performance of the electric chiller
COST Operational cost
c0x-math-022 Operational cost of the CCHP system under FEL
c0x-math-023 Operational cost of the CCHP system under FTL
c0x-math-024 Operational cost of the SP system
c0x-math-025 Covariance of variables • and c0x-math-026
c0x-math-027 Expectation of variable c0x-math-028
c0x-math-029 Electricity consumed by the electric chiller in the CCHP system
c0x-math-030 Electricity consumed by the electric chiller in the SP system
c0x-math-031 Excess electricity
c0x-math-032 Purchased electricity from the grid by the CCHP system
c0x-math-033 Purchased electricity for compensating for the cooling gap
c0x-math-034 Purchased electricity from the grid by the SP system
c0x-math-035 Standard basis vector with the c0x-math-036th element being 1
c0x-math-037 Electricity input of component c0x-math-038
c0x-math-039 Electricity output of component c0x-math-040
c0x-math-041 Maximum electricity generated by the PGU
c0x-math-042 Electricity output of the ORC
c0x-math-043 Parasitic electricity
c0x-math-044 Electricity generated from the PGU
c0x-math-045 Maximum electricity generated by the PGU
c0x-math-046 Electricity generated from the PGU under FEL
c0x-math-047 Electricity generated from the PGU under FTL
c0x-math-048 Electricity generated by the PGU
c0x-math-049 Electricity required by building users and the electric chiller
c0x-math-050 Electricity required by building users
c0x-math-051 Lower bound of electricity required by building users
c0x-math-052 Upper bound of electricity required by building users
EC Evaluation criteria function value
c0x-math-053 Annual evaluation criteria function value
c0x-math-054 Evaluation criteria function value of the CCHP system under FEL
c0x-math-055 Evaluation criteria function value of the CCHP system under FTL
c0x-math-056 Hourly evaluation criteria function value
c0x-math-057 Hourly evaluation criteria function value of day c0x-math-058, hour c0x-math-059
c0x-math-060 Fuel consumed by the boiler in the CCHP system
c0x-math-061 Fuel consumed by the boiler in the SP system
c0x-math-062 Fuel consumed by the boiler in the CCHP system under FEL
c0x-math-063 Fuel consumed by the boiler in the CCHP system under FTL
c0x-math-064 Fuel consumed by the CCHP system
c0x-math-065 Fuel input ofcomponent c0x-math-066
c0x-math-067 Total fuel consumption
c0x-math-068 Additionally purchased fuel
c0x-math-069 Total fuel consumption of the CCHP system under FEL
c0x-math-070 Total fuel consumption of the CCHP system under FTL
c0x-math-071 Fuel output of component c0x-math-072
c0x-math-073 Fuel consumed by the PGU
c0x-math-074 Fuel consumed by the PGU in the CCHP system under FEL
c0x-math-075 Fuel consumed by the PGU in the CCHP system under FTL
c0x-math-076 Maximum fuel consumption of the PGU
c0x-math-077 Optimal PGU capacity
c0x-math-078 Reduced fuel consumption
c0x-math-079 Fuel consumed by the SP system
c0x-math-080 Energy conversion matrix of component c0x-math-081
c0x-math-082 Enthalpy of organic fluid at the inlet of pump
c0x-math-083 Enthalpy of organic fluid at the outlet of pump
c0x-math-084 Enthalpy at the outlet of pump for the isentropic case
c0x-math-085 Enthalpy of organic fluid at the outlet of the evaporator
c0x-math-086 Enthalpy of organic fluid at the outlet of the pump
c0x-math-087 Enthalpy of organic fluid at the outlet of the turbine for the isentropic case
HTC Hourly total cost
c0x-math-088 Hourly total cost of the CCHP system
c0x-math-089 Hourly total cost of the SP system
HTCS Hourly total cost savings
K Power to heat ratio
c0x-math-090 Site-to-primary energy conversion factor for electricity
c0x-math-091 Site-to-primary energy conversion factor for natural gas
L Facility's life
c0x-math-092 Maximize the function value of c0x-math-093
c0x-math-094 Minimize the function value of c0x-math-095
c0x-math-096 Maximum value between • and c0x-math-097
c0x-math-098 Minimum value between • and c0x-math-099
c0x-math-100 Organic fluid mass flow rate
PEC Primary energy consumption
c0x-math-101 Primary energy consumption of the CCHP system
c0x-math-102 Primary energy consumption of the CCHP system under FEL
c0x-math-103 Primary energy consumption of the CCHP system under FTL
c0x-math-104 Primary energy consumption of the SP system
PES Primary energy savings
c0x-math-105 Cooling energy provided by the absorption chiller
c0x-math-106 Total cooling demand
c0x-math-107 Heat exchange of the condenser
c0x-math-108 Cooling energy provided by the electric chiller
c0x-math-109 Obtained heat by evaporator
c0x-math-110 Equivalent total thermal requirement at the output of the heat recovery system
c0x-math-111 Thermal energy provided by the boiler in the CCHP system
c0x-math-112 Thermal energy provided by the boiler in the SP system
c0x-math-113 Thermal energy gap
c0x-math-114 Total heating demand
c0x-math-115 Heating input of component c0x-math-116
c0x-math-117 Heating output of component c0x-math-118
c0x-math-119 Thermal energy from the heat recovery system for the use of cooling
c0x-math-120 Thermal energy from the heat recovery system for the use of heating
c0x-math-121 Thermal energy provided by the PGU
c0x-math-122 Thermal energy provided by the heat recovery system
c0x-math-123 Thermal energy required by building users and the electric chiller
c0x-math-124 Thermal energy provided by the heat recovery system under FEL
c0x-math-125 Thermal energy provided by the heat recovery system under FTL
c0x-math-126 Thermal input of the ORC
c0x-math-127 Total thermal demand by building users
R Capital recovery factor
c0x-math-128 Dew-point temperature
c0x-math-129 Observation of the dew-point temperature
c0x-math-130 Dry-bulb temperature
c0x-math-131 Observation of the dry-bulb temperature
c0x-math-132 Estimation of the dry-bulb temperature
c0x-math-133 Energy input vector of component c0x-math-134
c0x-math-135 Energy output vector of component c0x-math-136
c0x-math-137 Forecasted load vector
c0x-math-138 Upper bound of the output of component c0x-math-139
c0x-math-140 Lower bound of the output of component c0x-math-141
c0x-math-142 Variance of variable c0x-math-143
c0x-math-144 Pump power
x Electric cooling to cool load ratio
c0x-math-145 Variable of cooling load
c0x-math-146 Variable of forecasted cooling load
c0x-math-147 Variable of remained cooling to be provided
c0x-math-148 Variable of electric load
c0x-math-149 Variable of forecasted electric load
c0x-math-150 Variable of heating load
c0x-math-151 Variable of forecasted heating load
c0x-math-152 Variable of remained heating to be provided
c0x-math-153 c0x-math-154 time lags from the current time instant
c0x-math-155 Dispatch matrix of component c0x-math-156
c0x-math-157 Efficiency of the heating unit
c0x-math-158 Efficiency of the PGU
c0x-math-159 Efficiency of the heat recovery system
c0x-math-160 Efficiency of the boiler
c0x-math-161 Generation efficiency of the SP system
c0x-math-162 Transmission efficiency of local grid
c0x-math-163 Isentropic efficiency
c0x-math-164 Efficiency of the ORC
c0x-math-165 Efficiency of the electric generator
c0x-math-166 Carbon dioxide emissions conversion factor of electricity
c0x-math-167 Carbon dioxide emissions conversion factor of natural gas
c0x-math-168 Evaporator effectiveness
c0x-math-169 Weighting coefficient of the c0x-math-170th criterion
c0x-math-171 Gradient
c0x-math-172 Centigrade
c0x-math-173 Exists
c0x-math-174 In
c0x-math-175 Define
c0x-math-176 Sum
c0x-math-177 For all
c0x-math-178 Subject to
c0x-math-179 Matrix/vector transpose
c0x-math-180 Real vector space of dimension c0x-math-181
c0x-math-182 Real matrix space of dimension c0x-math-183
c0x-math-184 The optimal value of variable •
O Complexity

Introduction

Combined cooling, heating, and power (CCHP) systems are known as trigeneration systems. They are designed to supply cooling, heating, and electricity simultaneously. The CCHP system has become a hot topic for its high system efficiency, high economic efficiency, and low greenhouse gas (GHG) emissions in recent years. The efficiency of the CCHP system depends on the appropriate system configuration, operation strategy, and facility selection. Due to the inherent and inevitable energy waste of traditional operation strategies, high-efficiency operation strategies are urged. To achieve the highest system efficiency, facilities in the system should be appropriately sized to match with the corresponding operation strategy.

In Chapter 1, the state-of-the-art of CCHP research is surveyed. First, the development and working scheme of the CCHP system is presented. Some analyses of the advantages of this system and a brief introduction to the related components are then given. In the second part of Chapter 1, we elaborately introduce various types of prime movers and thermally activated facilities. Recent research progress on the management, control, system optimization, and facility selection is summarized in the third part. The development of the CCHP system in representative countries and the development barriers are also discussed in Chapter 1.

The operation strategy has a direct impact on the CCHP system performance. To improve the operational performance, in Chapter 2, based on two conventional operation strategies, that is, following electric load (FEL) and following thermal load (FTL), a novel optimal switching operation strategy is proposed. Using this strategy, the whole operating space of the CCHP system is divided into several regions by one to three border surfaces determined by energy requirements and the evaluation criteria (EC). Then the operating point of the CCHP system is located in a corresponding operating mode region to achieve improved EC. The EC simultaneously considers the primary energy consumption, the operational cost, and the carbon dioxide emissions. The proposed strategy can reflect and balance the influences of energy requirements, energy prices, and emissions effectively.

Most of the improved operation strategies in the literature are based on the “balance” plane, matching of the electric demands with the thermal demands. However, in more than 95% energy demand patterns, the demands cannot match with each other on this exact “balance” plane. To continuously use the “balance” concept, in Chapter 3, the system configuration is modified from the one with a single absorption chiller to be the one with hybrid chillers, thus expanding the “balance” plane to a “balance” space by tuning the electric cooling to cool load ratio. With this new “balance” space, an operation strategy is designed and the power generation unit (PGU) capacity is optimized according to the proposed operation strategy to reduce the energy waste and improve the system efficiency. A case study is conducted to verify the feasibility and effectiveness of the proposed operation strategy.

In Chapter 4, a more mathematical approach to scheduling the energy input and power flow is proposed. By using the concept of energy hub, the CCHP system is modeled in a matrix form. As a result, the whole CCHP system is an input–output model. Setting the objective function to be a weighted summation of primary energy savings (PES), hourly total cost savings (HTC), and carbon dioxide emissions reductions (CDER), the optimization problem, constrained by equality and inequality constraints, is solved to obtain the optimal operation strategy. The PGU capacity is also sized under the proposed optimal operation strategy. In the case study, compared with FEL and FTL, the proposed optimal operation strategy saves more primary energy and annual total cost, and can be more environmentally friendly.

Chapter 5

The electricity to thermal energy output ratio is an important impact factor for the operation strategy and performance of CCHP systems. If the energy requirements of users are managed to just match this ratio, the system efficiency would reach the maximum. However, due to the randomness of users' demand, this situation is rarely achieved in practice. To solve this problem, a complementary CCHP-organic Rankine cycle (CCHP-ORC) system is configured in Chapter 6. The salient feature of this system is that its electricity to thermal energy output ratio can be adjusted by changing the loads of the electric chiller and the ORC dynamically. For such a system, an optimal operation strategy and a corresponding implemented decision-making process are presented within a wide load range. Case studies are conducted to verify the efficacy of the developed CCHP-ORC system.