Simultaneous Scheduling and Heat Integration of Batch Plants Using Unit-Specific Event Based Modelling
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Semal Sekhar Mummana
Abstract
Over the past few decades of sustainable development, energy savings in batch processing facilities has played a vital role. The increasing trend in production of high value and low volume products in food, pharmaceutical industries and fine/specialty chemicals is driving the development of material, energy and water integrated scheduling techniques for multiproduct/multipurpose batch plants. In the present study, a three index Unit Specific Event Based (USEB) model is proposed for the simultaneous short-term scheduling and heat integration of batch plants. A mixed integer linear programming (MILP) model is proposed to handle direct heat integration. The performance of the proposed model is evaluated by considering two benchmark examples.
Nomenclature
- Indices
- n1,n2,n3
Events
- i, i1
Tasks
- j, j1
Units
- u
Utilites
- s
States
- Sets
- I
Set of tasks
- J
Set of units
Set of tasks that can be performed in unit j
Tasks which consume state s
Tasks which produce state s
Task which requires cooling
Task which requires heating
- N
Event points within the time horizon
- U
Utilities
- S
States
States that are intermediates
States that are raw materials
States that are final products
Intermediate states with dedicated finite intermediate storage (dfis)
- Parameters
Maximum batch size of task i
Minimum batch size of task i
- Δn
Limit on the maximum number of events over which a task is allowed to continue
Price of product state s
- M
Large positive number in big-M constraints
Fraction of state s produced
Fraction of state s consumed
Coefficient of variable term of processing time of task i
Coefficient of constant term of processing time of task i
Maximum amount of state s
Initial amount available for state s
- H
Short-term time horizon
Unit cost of cooling utility u over interval t
Unit cost of heating utility u over interval t
Coefficient of constant terms of external utility requirements of task i when operated in a with heat integration mode.
Coefficient of constant terms of external utility requirements of task i when operated in a without heat integration mode.
Coefficient of variable terms of external utility requirements of task i when operated in a with heat integration mode.
Coefficient of variable terms of external utility requirements of task i when operated in a without heat integration mode.
- Binary variable
- x (i, i1, n1)
Binary variable associated with heat integration of task i and i1 at event n1
- w (i, n1, n2)
Binary variable that assign of the task i that starts at event n1 and ends at event n2
- Positive variable
- b(i, n1, n2)
Amount of material processing by task i starting at event n1 and ends at event n2
Start time of a task i at event n1
Finish time of a task i at event n1
Initial amount of state s required from external resources
Excess amount of state s that needs to be stored at event n1
Amount of heating utility required by task i when operating in a standalone mode
Amount of heating utility required by task i when operating in a heat integrated mode
Amount of cooling utility required by task i1 when operating in a standalone mode
Amount of cooling utility required by task i1 when operating in a heat-integrated mode
Amount of batch processed by heat-integrated tasks i which require heating
Amount of batch processed by heat-integrated tasks i1 which require cooling
References
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- Numerical Investigation of Heat Transfer and Fluid Flow Characteristics in Circular Wavy Microchannels with Sidewall Rib
- Design of Fractional Order PID Controller Using Genetic Algorithm Optimization Technique for Nonlinear System
- Design of VRFT Based Feedback-feedforward Controllers for Enhancing Disturbance Rejection on Non-minimum Phase Systems
- Simultaneous Scheduling and Heat Integration of Batch Plants Using Unit-Specific Event Based Modelling
- Multi Gene Genetic Program Modelling on L-Asparaginase Activity of Bacillus Stratosphericus
- Enhancement of Glass Production Rate in Joule Heated Ceramic Melter
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Articles in the same Issue
- Editorial
- NOTE FROM GUEST EDITORS
- Research Articles
- Kinetic Modeling of Citrullus Lanatus (Watermelon) Peel Using Thermo Gravimetric Analysis
- Numerical Evaluation of Liquid Mixing in a Serpentine Square Convergent-divergent Passive Micromixer
- Design of Noise Filters for Integrating Time Delay Processes
- Fractional Order PID Controller Design for Multivariable Systems using TLBO
- Natural Convection Heat Transfer in a Shell and Helical Coil Heat Exchanger Using non-Newtonian Nanofluids
- Numerical Investigation of Heat Transfer and Fluid Flow Characteristics in Circular Wavy Microchannels with Sidewall Rib
- Design of Fractional Order PID Controller Using Genetic Algorithm Optimization Technique for Nonlinear System
- Design of VRFT Based Feedback-feedforward Controllers for Enhancing Disturbance Rejection on Non-minimum Phase Systems
- Simultaneous Scheduling and Heat Integration of Batch Plants Using Unit-Specific Event Based Modelling
- Multi Gene Genetic Program Modelling on L-Asparaginase Activity of Bacillus Stratosphericus
- Enhancement of Glass Production Rate in Joule Heated Ceramic Melter
- Thermographic Studies of Aerogel Composites
