# Energy Optimization in Process Systems and Fuel Cells

## 2nd Edition

**Authors:**Stanislaw Sieniutycz Jacek Jezowski

**eBook ISBN:**9780080982274

**Hardcover ISBN:**9780080982212

**Imprint:**Elsevier

**Published Date:**12th February 2013

**Page Count:**818

## Description

*Energy Optimization in Process Systems and Fuel Cells, Second Edition* covers the optimization and integration of energy systems, with a particular focus on fuel cell technology. With rising energy prices, imminent energy shortages, and increasing environmental impacts of energy production, energy optimization and systems integration is critically important. The book applies thermodynamics, kinetics and economics to study the effect of equipment size, environmental parameters, and economic factors on optimal power production and heat integration. Author Stanislaw Sieniutycz, highly recognized for his expertise and teaching, shows how costs can be substantially reduced, particularly in utilities common in the chemical industry.

This second edition contains substantial revisions, with particular focus on the rapid progress in the field of fuel cells, related energy theory, and recent advances in the optimization and control of fuel cell systems.

## Key Features

- New information on fuel cell theory, combined with the theory of flow energy systems, broadens the scope and usefulness of the book
- Discusses engineering applications including power generation, resource upgrading, radiation conversion, and chemical transformation in static and dynamic systems
- Contains practical applications of optimization methods that help solve the problems of power maximization and optimal use of energy and resources in chemical, mechanical, and environmental engineering

## Readership

Graduate students and researchers in chemical, mechanical, materials and environmental engineering, as well as those engaged in system theory, operation research, chemistry, applied physics, applied mathematics

## Table of Contents

1. Brief review of static optimization methods

1.1 Introduction: significance of mathematical models

1.2 Unconstrained problems

1.3 Equality constraints and lagrange multipliers

1.4 Methods of mathematical programming

1.5 Iterative search methods

1.6 On some stochastic optimization techniques

2. Dynamic optimization problems

2.1 Discrete representations and dynamic programming algorithms

2.2 Recurrence equations

2.3 Discrete processes linear with respect to the time interval

2.4 Discrete algorithm of Pontryagin’s type for processes linear in θN

2.5 Hamilton–Jacobi–Bellman equations for continuous systems

2.6 Continuous Maximum Principle

2.7 Calculus of variations

2.8 Viscosity solutions and nonsmooth analyses

2.9 Stochastic control and stochastic Maximum Principle

3. Energy limits for thermal engines and heat pumps at steady states

3.1 Introduction: role of optimization in determining thermodynamic limits

3.2 Classical problem of thermal engine driven by heat flux

3.3 Toward work limits in sequential systems

3.4 Energy utilization and heat pumps

3.5 Thermal separation processes

3.6 Steady chemical, electrochemical, and other systems

3.7 Limits in living systems

3.8 Final remarks

4. Hamiltonian optimization of imperfect cascades

4.1 Basic properties of irreversible cascade operations with a work flux

4.2 Description of imperfect units in terms of carnot temperature control

4.3 Single-stage formulae in a model of cascade operation

4.4 Work optimization in cascade by discrete maximum principle

4.5 Example

4.6 Continuous imperfect system with two finite reservoirs

4.7 Final remarks

5. Maximum power from solar energy

5.1 Introducing Carnot controls for modeling solar-assisted operations

5.2 Thermodynamics of radiation

5.3 Classical exergy of radiation

5.4 Flux of classical exergy

5.5 Efficiencies of energy conversion

5.6 Towards a dissipative exergy of radiation at flow

5.7 Basic analytical formulae of steady pseudo-Newtonian model

5.8 Steady nonlinear models applying Stefan–Boltzmann equation

5.9 Dynamical theory for pseudo-Newtonian models

5.10 Dynamical models using the Stefan–Boltzmann equation

5.11 Towards the Hamilton–Jacobi–Bellman approaches

5.12 Final remarks

6. Hamilton–Jacobi–Bellman theory of energy systems

6.1 Introduction

6.2 Dynamic optimization of power in a finite-resource process

6.3 Two different works and finite-rate exergies

6.4 Some aspects of classical analytical HJB theory for continuous systems

6.5 HJB equations for nonlinear power generation systems

6.6 Analytical solutions in systems with linear kinetics

6.7 Extensions for systems with nonlinear kinetics and internal dissipation

6.8 Generalized exergies for nonlinear systems with minimum dissipation

6.9 Final remarks

7. Numerical optimization in allocation, storage and recovery of thermal energy and resources

7.1 Introduction

7.2 A discrete model for a nonlinear problem of maximum power from radiation

7.3 Nonconstant Hamiltonians and convergence of discrete DP algorithms to viscosity solutions of HJB equations

7.4 Dynamic programming equation for maximum power from radiation

7.5 Discrete approximations and time adjoint as a Lagrange multiplier

7.6 Mean and local intensities in discrete processes

7.7 Legendre transform and original work function

7.8 Numerical approaches applying dynamic programming

7.9 Dimensionality reduction in dynamic programming algorithms

7.10 Concluding remarks

8. Optimal control of separation processes

8.1 General thermokinetic issues

8.2 Thermodynamic balances toward minimum heat or work

8.3 Results for irreversible separations driven by work or heat

8.4 Thermoeconomic optimization of thermal drying with fluidizing solids

8.5 Solar energy application to work-assisted drying

8.6 Concluding Remarks

9. Optimal decisions for chemical reactors

9.1 Introduction

9.2 Driving forces in transport processes and chemical reactions

9.3 General nonlinear equations of macrokinetics

9.4 Classical chemical and electrochemical kinetics

9.5 Inclusion of nonlinear transport phenomena

9.6 Continuous description of chemical (electrochemical) kinetics and transport phenomena

9.7 Toward power production in chemical systems

9.8 Thermodynamics of power generation in nonisothermal chemical engines

9.9 Nonisothermal engines in terms of carnot variables

9.10 Entropy production in steady systems

9.11 Dissipative availabilities in dynamic systems

9.12 Characteristics of steady isothermal engines

9.13 Sequential models for dynamic power generators

9.14 A computational algorithm for dynamic process with power maximization

9.15 Results of computations

9.16 Some additional comments

9.17 Complex chemical power systems with internal dissipation

10. Fuel cells and limiting performance of electrochemobiological systems

10.1 Introduction

10.2 Electrochemical engines

10.3 Thermodynamics of entropy production and power limits in fuel cells

10.4 Calculation of operational voltage

10.5 Thermodynamic account of current-dependent and current-independent imperfections

10.6 Evaluation of mass flows, power output, and efficiency

10.7 Quality characteristics and feasibility criteria

10.8 Some experimental results

10.9 Assessing power limits in steady thermoelectrochemical engines

10.10 Hybrid systems

10.11 Unsteady states, dynamic units, and control problems

10.12 Biological fuel cells and biological sources of hydrogen

10.13 Energy and size limits for living organisms in biological systems

10.14 A brief commentary on development and evolution of species

11. Systems theory in thermal and chemical engineering

11.1 Introduction

11.2 System energy analyses

11.3 Mathematical modeling of industrial energy management

11.4 Linear model of the energy balance for an industrial plant and its applications

11.5 Nonlinear mathematical model of short-term balance of industrial energy system

11.6 Mathematical optimization model for the preliminary design of industrial energy systems

11.7 Remarks on diverse methodologies and link with ecological criteria

11.8 Control thermodynamics for explicitly dynamical systems

11.9 Interface of energy limits, structure design, thermoeconomics and ecology

11.10 Towards the thermoeconomics and integration of heat energy

12. Heat integration within process integration

13. Maximum heat recovery and its consequences for process system design

13.1 Introduction and problem formulation

13.2 Composite curve (CC) plot

13.3 Problem table (Pr-T) method

13.4 Grand composite curve (GCC) plot

13.5 Special topics in MER/MUC calculations

13.6 Summary and further reading

14. Targeting and supertargeting in heat exchanger network design

14.1 Targeting stage in overall design process

14.2 Basis of sequential approaches for HEN targeting

14.3 Basis of simultaneous approaches for HEN targeting

15. Minimum utility cost (MUC) target by optimization approaches

15.1 Introduction and MER problem solution by mathematical programming

15.2 MUC problem solution methods

15.3 Dual matches

15.4 Minimum utility cost under disturbances

16. Minimum number of units (MNU) and minimum total surface area (MTA) targets

16.1 Introduction

16.2 Minimum number of matches (MNM) target

16.3 Minimum total area for matches (MTA-m) target

16.4 Minimum number of shells (MNS) target

16.5 Minimum total area for shells (MTA-s) target

17. Simultaneous HEN targeting for total annual cost

TAC-Transp model

18. Heat exchanger network synthesis

18.1 Introduction

18.2 Sequential approaches

18.3 Simultaneous approaches to HEN synthesis

19. Heat exchanger network retrofit

19.1 Introduction

19.2 Network pinch method

19.3 Simultaneous approaches for HEN retrofit

20. Approaches to water network design

20.1 Introduction

20.2 Mathematical models and data for water network problem

20.3 Overview of approaches in the literature

## Details

- No. of pages:
- 818

- Language:
- English

- Copyright:
- © Elsevier 2013

- Published:
- 12th February 2013

- Imprint:
- Elsevier

- eBook ISBN:
- 9780080982274

- Hardcover ISBN:
- 9780080982212

## About the Author

### Stanislaw Sieniutycz

Prof. Stanislaw Sieniutycz (1940), PhD; ScD, since 1983 a full Professor of Chemical Engineering at Warsaw TU, Poland. Former head of Department of Process Separation at the Institute of Chemical Engineering of Warsaw TU, Poland, 1986-1989. Seminar speaker in about 40 Universities of the USA, 1984-1994. He received MsD in Chemistry in 1962, PhD in Chemical Engineering in 1968, and ScD (habilitation) in Chemical Engineering in 1973, all from Warsaw TU. Visiting professor in Universities: Budapest (Physics), Bern (Physiology), Trondheim (Chemical Physics), San Diego SU (Mathematics), Delaware (Chemical Engineering), and, several times, Chicago (Chemistry). Recognized for applications of analytical mechanics and optimal control in engineering. Author or co-author of about 250 papers and many books.

### Affiliations and Expertise

Faculty of Chemical and Process Engineering, Warsaw University of Technology, Warsaw, Poland

### Jacek Jezowski

### Affiliations and Expertise

Deceased, Rzeszów University of Technology, Poland

## Reviews

"Polish chemical and process engineers Seinuitycz and Jezowski explain how to simulate and optimize various energy processes by applying optimization approaches found in second law analysis, finite time thermodynamics, entropy generation minimization, exergo-economics, and system engineering…The book can be used as a core or supplemental textbook in a range of science and engineering courses on energy at the graduate or undergraduate level." --**Reference & Research Book News, October 2013**