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APMonitor, or "Advanced Process Monitor" includes a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
APMonitor, or "Advanced Process Monitor" is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
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APMonitor software is a modeling, simulation, and optimization environment for large-scale models of differential and algebraic equations (DAEs). These models are employed in six solution modes:
APMonitor software is a modeling, simulation, and optimization environment for large-scale models of differential and algebraic equations (DAEs). These models are employed in seven solution modes:
(:description Simulation, optimization, estimation, and control with APMonitor:)
(:description APMonitor Documentation: Simulation, optimization, estimation, and control:)
APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
APMonitor
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(:title APMonitor Modeling Language Documentation:) (:keywords nonlinear, model, predictive control, APMonitor, differential, algebraic, modeling language:) (:description Simulation, optimization, estimation, and control with APMonitor:)
<META NAME="Description" CONTENT="Simulation, optimization, estimation, and control with APMonitor">
<META NAME="Description" CONTENT="APMonitor Documentation and Nonlinear Model Library">
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<title>APMonitor Modeling Language</title>
<META NAME="Keywords" CONTENT="Nonlinear Model Predictive Control APMonitor Analytic First Derivatives Nonlinear Differential Algebraic Modeling Language">
<META NAME="Description" CONTENT="Simulation, optimization, estimation, and control with APMonitor">
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APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
Meet regulatory reporting requirements Flow assurance of oil and gas transport pipelines Visualize data from remote locations Reduce alarms by consolidating relevant information Provide soft sensing Automatic control of continuous and batch systems Increase production 3-5% without equipment changes
- Meet regulatory reporting requirements
- Flow assurance of oil and gas transport pipelines
- Visualize data from remote locations
- Reduce alarms by consolidating relevant information
- Provide soft sensing
- Automatic control of continuous and batch systems
- Increase production 3-5% without equipment changes
APMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
APMonitor is advanced process control and optimization software for industrial-scale systems. The software interfaces to live systems to provide advanced diagnostics, meet safety and environmental constraints, and drive the process to economic optimum. With rapidly changing feedstock and commodity pricing, this application enables instant and continual realignment to real operating objectives. These may include:
Meet regulatory reporting requirements Flow assurance of oil and gas transport pipelines Visualize data from remote locations Reduce alarms by consolidating relevant information Provide soft sensing Automatic control of continuous and batch systems Increase production 3-5% without equipment changes
A number of prebuilt asset models are available with the APMonitor software. The chemical processing modeling package includes reactors, distillation columns, and compressors necessary for industrial scale processes.
APMonitor, or "Advanced Process Monitor" includes a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
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APMonitor in a Nutshell
APMonitor Overview
Newton's Apple
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (Equation 1) and the motion of the apple (Equation 2).
- F = (G m_{1} m_{2}) / r^{2}
- F = m dv/dt
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as algebraic and differential equations. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and interface with live systems.
APMonitorAPMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
APMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
APMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
APMonitorAPMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
Introduction to Differential and Algebraic Equations
APMonitor, or "Advanced Process Monitor", is a modeling language for differential and algebraic (DAE) equations. It is used for describing and solving representations of physical systems in the form of implicit DAE models. APMonitor is suited for large-scale problems and allows solutions of dynamic simulation, moving horizon estimation, and nonlinear control. APMonitor does not solve the problems directly, but calls appropriate external solvers.
Differential and Algebraic Equations
APMonitor
APMonitor
APMonitor Attach:apmonitor_icon.jpg
APMonitor
APMonitor Attach:apmonitor42.jpg Δ
APMonitor Attach:apmonitor_icon.jpg
APMonitor Attach:apmonitor.jpg Δ
APMonitor Attach:apmonitor42.jpg Δ
APMonitor Documentation
APMonitor Attach:apmonitor.jpg Δ
Newton's Apple
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (Equation 1) and the motion of the apple (Equation 2).
- F = (G m_{1} m_{2}) / r^{2}
- F = m dv/dt
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as algebraic and differential equations. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and interface with live systems.
Newton's Apple
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (Equation 1) and the motion of the apple (Equation 2).
- F = (G m_{1} m_{2}) / r^{2}
- F = m dv/dt
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as algebraic and differential equations. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and interface with live systems.
APMonitor Documentation Wiki
APMonitor Documentation
APMonitor Documentation Homepage
APMonitor Documentation Wiki
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. DAE models are generally easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is less restrictive.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. DAE models are generally easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is less restrictive.
- model.apm: To generate a new model, create a text file and save it with an apm extension.
- model.info: The info file contains designation of special variables for trending, data acquisition, and mode-specific actions. If no variables are treated specially, the info file can be blank.
- model.dbs: The dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
- Model (apm)
- Info (info)
- Database (dbs)
- Data (csv)
- Solution (t0)
- model.apm: To generate a new model, create a text file and save it with an apm extension.
- model.info: The info file contains designation of special variables for trending, data acquisition, and mode-specific actions. If no variables are treated specially, the info file can be blank.
- model.dbs: The dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
- Steady-state simulation (SS)
- Model Parameter Update (MPU)
- Real Time Optimization (RTO)
- Dynamic simulation (SIM)
- Moving horizon estimation (EST)
- Nonlinear control (CTL)
- Steady-state simulation (SS)
- Steady-state simulation (SS)
- Steady-state simulation (SS)
- Model Parameter Update (MPU)
- Real Time Optimization (RTO)
- Dynamic simulation (SIM)
- Moving horizon estimation (EST)
- Nonlinear control (CTL)
- Steady-state simulation (SS)
- Model Parameter Update (MPU)
- Real Time Optimization (RTO)
- Dynamic simulation (SIM)
- Moving horizon estimation (EST)
- Nonlinear control (CTL)
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. DAE models are generally easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is least restrictive.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. DAE models are generally easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is less restrictive.
The DAE model does not have to be changed to switch between the modes. The model is defined once to facilitate the exchange of information between parameter fitting, dynamic simulation, optimization, and control.
The DAE model does not have to be changed to switch between the modes. The same model is used for parameter fitting, dynamic simulation, optimization, and control. The user is required to define the model and the software automatically configures the various simulation options.
APMonitor uses a simultaneous solution approach (versus a sequential approach) to solve the differential equations. The differential equations are converted to algebraic equations and solved with large-scale sparse solvers. There are a variety of solvers that are available depending on the user's license. These solvers range from free and open-source to commercial.
APMonitor uses a simultaneous solution approach to solve the differential equations. The differential equations are converted to algebraic equations and solved with large-scale sparse solvers. There are an assortment of solvers available with various user's licenses, ranging from free and open-source to commercial.
Esssential Files for Simulation
The model is contained in the text file with an apm extension. The info file contains designation of variables that are treated differently depending on the simulation mode. If no variables are treated specially, the info file can be blank. Finally, the dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
- apm: Main model file
- info: Information file to indicate variable types
- dbs: Database of options and model inputs
Essential Files for Simulation
- model.apm: To generate a new model, create a text file and save it with an apm extension.
- model.info: The info file contains designation of special variables for trending, data acquisition, and mode-specific actions. If no variables are treated specially, the info file can be blank.
- model.dbs: The dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is well suited for a software product that is under intensive and collaborative development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is well suited to APMonitor as it allows for collaboration and continuing development.
Heading
Heading
"In that slight startle from his contemplation –
'Tis said (for I'll not answer above ground
For any sage's creed or calculation) –
A mode of proving that the earth turn'd round
In a most natural whirl, called "gravitation;"
And this is the sole mortal who could grapple,
Since Adam, with a fall or with an apple."
Don Juan (1821), Canto 10, Verse I. In Jerome J. McGann (ed.), Lord Byron: The Complete Poetical Works (1986), Vol. 5, 437
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and the push and pull of data to and from live systems.
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and interface with live systems.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is well suited for a software product that is under intensive development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is well suited for a software product that is under intensive and collaborative development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is better suited for a software product that is under intensive development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is well suited for a software product that is under intensive development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is better suited for a software product that is under intensive development.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is better suited for a software product that is under intensive development.
- Honeywell's NOVA Solver (version 4.0)
- Carnegie Mellon's IPOPT Solver (version 2.3)
- IBM's IPOPT Solver (version 3.5)
- Stanford's SNOPT Solver (version 6.1)
- Stanford's MINOS Solver (version 5.5)
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and less on data handling, model convergence, and on-line implementation.
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and let APMonitor perform data handling, model convergence, and the push and pull of data to and from live systems.
- Stanford's SNOPT Solver (version 6.5)
- Stanford's MINOS Solver (version 5.0)
- Stanford's SNOPT Solver (version 6.1)
- Stanford's MINOS Solver (version 5.5)
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (1) and the motion of the apple (2).
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (Equation 1) and the motion of the apple (Equation 2).
Like Newton, it takes a trained mind to formulate, test, and validate mathematical models from observation of physical systems. The APMonitor software gives users a model development platform for simulation, data reconciliation, and optimization for both steady-state and dynamic systems. With APMonitor, the user can concentrate more on the difficult task of building the mathematical relationships and less on data handling, model convergence, and on-line implementation.
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects (1) and the motion of the apple (2).
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. A simple equation defines the gravitational force between two objects (1) and the motion of the apple (2).
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions.
- Model Structure
- Parameters
- Variables
- Algebraic
- Differential
- Constraints
- Slack variables
- Objective function variables
- Variable scope
- Connections
- Intermediates
- Equations
- Arrays
- Objects
- Feed
- Flash
- Flash_column
- Lag
- Massflow
- Mixer
- PID
- Poly_reactor
- Pump
- Reactor
- Splitter
- Stage_1
- Stage_2
- Stream_lag
- Vessel
- Vesselm
- Object arrays
- Object variable connections
- Modes of Operation
- Steady-state Simulation (ss)
- Model Parameter Update (mpu)
- Real-time Optimization (rto)
- Dynamic Simulation (sim)
- Moving Horizon Estimation (est)
- Nonlinear Control (ctl)
- System files
- apm - Model file
- info - Information file
- dbs - Database file
- t0 - Restart solution file
- Obtaining Solutions
- Software demo
- Online interface
- DOS Command line
- MATLAB
The documentation is presented in a Wiki format to allow instant modification by anyone with permission to edit.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions. The documentation is presented in a Wiki format to allow collaborative modification by any user. This format is better suited for a software product that is under intensive development.
The basic structure of the documentation is outlined into four main sections: !!!model structure!!!, !!!modes of operation!!!, !!!system files!!!, and !!!obtaining solutions!!!.
The basic structure of the documentation is outlined into four main sections: model structure, modes of operation, system files, and obtaining solutions.
The documentation is presented in a Wiki format to allow instant modification by anyone with permission to edit. The basic structure of the documentation is
The basic structure of the documentation is outlined into four main sections: !!!model structure!!!, !!!modes of operation!!!, !!!system files!!!, and !!!obtaining solutions!!!.
The documentation is presented in a Wiki format to allow instant modification by anyone with permission to edit.
- Solution options
- Obtaining Solutions
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. The problem with DAE models is that they are easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is least restrictive.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. DAE models are generally easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is least restrictive.
- Steady-state simulation
- Steady-state simulation (SS)
- Dynamic simulation
- Moving horizon estimation (MHE)
- Nonlinear control (NLC)
- Dynamic simulation (SIM)
- Moving horizon estimation (EST)
- Nonlinear control (CTL)
- Modes of Operation
- Steady-state Simulation (ss)
- Model Parameter Update (mpu)
- Real-time Optimization (rto)
- Dynamic Simulation (sim)
- Moving Horizon Estimation (est)
- Nonlinear Control (ctl)
- MATLAB
- Intermediate variables and equations
- Basic Model Structure
- Parameters
- Variables
- Algebraic
- Differential
- Constraints
- Slack variables
- Objective function variables
- Variable scope
- Connections
- Intermediates
- Equations
- Intermediate variables and equations
- Arrays
- Objects
- Feed
- Flash
- Flash_column
- Lag
- Massflow
- Mixer
- PID
- Poly_reactor
- Pump
- Reactor
- Splitter
- Stage_1
- Stage_2
- Stream_lag
- Vessel
- Vesselm
- Object arrays
- Object variable connections
- Model Structure
- Parameters
- Variables
- Algebraic
- Differential
- Constraints
- Slack variables
- Objective function variables
- Variable scope
- Connections
- Intermediates
- Equations
- Intermediate variables and equations
- Arrays
- Objects
- Feed
- Flash
- Flash_column
- Lag
- Massflow
- Mixer
- PID
- Poly_reactor
- Pump
- Reactor
- Splitter
- Stage_1
- Stage_2
- Stream_lag
- Vessel
- Vesselm
- Object arrays
- Object variable connections
- Variable scope
- Connections
- Object variable connections
- Intermediate Variables
- Intermediate variables and equations
- Object arrays
- System files
- apm - Model file
- info - Information file
- dbs - Database file
- t0 - Restart solution file
- Solution options
- Software demo
- Online interface
- DOS Command line
Documentation Overview
The documentation is presented in a Wiki format to allow instant modification by anyone with permission to edit. The basic structure of the documentation is
- Basic Model Structure
- Parameters
- Variables
- Algebraic
- Differential
- Constraints
- Slack variables
- Objective function variables
- Intermediates
- Equations
- Intermediate Variables
- Arrays
- Objects
- Feed
- Flash
- Flash_column
- Lag
- Massflow
- Mixer
- PID
- Poly_reactor
- Pump
- Reactor
- Splitter
- Stage_1
- Stage_2
- Stream_lag
- Vessel
- Vesselm
APMonitor uses a simultaneous solution approach (versus a sequential approach) to solve the differential equations.
APMonitor uses a simultaneous solution approach (versus a sequential approach) to solve the differential equations. The differential equations are converted to algebraic equations and solved with large-scale sparse solvers. There are a variety of solvers that are available depending on the user's license. These solvers range from free and open-source to commercial.
- Honeywell's NOVA Solver (version 4.0)
- Carnegie Mellon's IPOPT Solver (version 2.3)
- IBM's IPOPT Solver (version 3.5)
- Stanford's SNOPT Solver (version 6.5)
- Stanford's MINOS Solver (version 5.0)
The model is contained in the text file with an apm extension. The info file contains designation of variables that are treated differently depending on the simulation mode. Finally, the dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
The model is contained in the text file with an apm extension. The info file contains designation of variables that are treated differently depending on the simulation mode. If no variables are treated specially, the info file can be blank. Finally, the dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as an algebraic and differential equation. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as algebraic and differential equations. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. The problem with DAE models is that they are easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. The problem with DAE models is that they are easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems. Additionally, other software packages often require the user to reformulate the equations into a restrictive form. APMonitor allows an open-equation format that is least restrictive.
- apm Main model file
- info Information file to indicate variable types
- dbs Database of options and model inputs
- apm: Main model file
- info: Information file to indicate variable types
- dbs: Database of options and model inputs
- apm - Main model file
- info - Information file to indicate variable types
- dbs - Database of options and model inputs
- apm Main model file
- info Information file to indicate variable types
- dbs Database of options and model inputs
- *.apm - Main model file
- *.info - Information file to indicate variable types
- *.dbs - Database of options and
- apm - Main model file
- info - Information file to indicate variable types
- dbs - Database of options and model inputs
The model is contained in the text file with an 'apm' extension example.apm.
User generated:
The model is contained in the text file with an apm extension. The info file contains designation of variables that are treated differently depending on the simulation mode. Finally, the dbs file contains all of the user-defined options that control how the solution is performed. When no dbs file is present, a new file is generated with default parameters.
Program generated, user edited:
APMonitor enables the use of the nonlinear DAE models directly in parameter estimation, optimization, and control applications.
A number of prebuilt nonlinear models are available with the APMonitor product. The chemical processing modeling package includes polymer reactors, distillation columns, compressors, etc.
The DAE model does not have to be changed to switch between the modes. The model is defined once to facilitate the exchange of information between parameter fitting, dynamic simulation, optimization, and control.
Solution options
APMonitor uses a simultaneous solution approach (versus a sequential approach) to solve the differential equations.
Chemical Process Flowsheets
A thermodynamic database and a number of prebuilt nonlinear models are available with APMonitor. The chemical processing modeling package includes polymer reactors, distillation columns, compressors, valves, etc. These models are combined to form a flowsheet in an object-oriented environment.
Esssential Files for Simulation
The model is contained in the text file with an 'apm' extension example.apm.
User generated:
- *.apm - Main model file
Program generated, user edited:
- *.info - Information file to indicate variable types
- *.dbs - Database of options and
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways.
APMonitor software is a modeling, simulation, and optimization environment for large-scale models of differential and algebraic equations (DAEs).
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways. The problem with DAE models is that they are easy to write but often difficult to solve analytically. Entire university level courses are devoted to the solution of particular types of differential equations in analytic form. Analytic solution of more complex systems is better handled through numeric approaches. There are many software packages that can solve DAE models for small and medium size problems. APMonitor is designed to solve large-scale problems.
APMonitor in a Nutshell
APMonitor software is a modeling, simulation, and optimization environment for large-scale models of differential and algebraic equations (DAEs). These models are employed in six solution modes:
- Steady-state simulation
- Model Parameter Update (MPU)
- Real Time Optimization (RTO)
- Dynamic simulation
- Moving horizon estimation (MHE)
- Nonlinear control (NLC)
Newton's Apple
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects,
F = (G m_{1} m_{2}) / r^{2}
and the velocity of the apple as it decends to earth,
F = m dv/dt
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects (1) and the motion of the apple (2).
- F = (G m_{1} m_{2}) / r^{2}
- F = m dv/dt
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as a reaction network.
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as biological metabolic pathways.
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects.
Force = G * mass_{1} * mass_{2} / r^{2}
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects,
F = (G m_{1} m_{2}) / r^{2}
and the velocity of the apple as it decends to earth,
F = m dv/dt
The apple falling from a tree is simply approximated by these two equations. These two equations are solved together as an algebraic and differential equation. The solution of these two equations defines the velocity of the apple and the force the earth and apple exert on each other.
Introduction to Differential and Algebraic Equations
Differential and algebraic (DAE) models are a natural expression of systems that change with time. These dynamic systems may be as simple as a falling apple or as complex as a reaction network.
DAE models are a natural expression of many systems. APMonitor enables the use of the nonlinear DAE models directly in parameter estimation, optimization, and control applications.
APMonitor enables the use of the nonlinear DAE models directly in parameter estimation, optimization, and control applications.
Force = G * mass_1_ * mass_2_ / r^2^
Force = G * mass_{1} * mass_{2} / r^{2}
Force = G * mass_1_ * mass_2_ / r^2^
Force = G * mass_1_ * mass_2_ / r^2^
A popular story claims that Newton was inspired to formulate his theory of universal gravitation by the fall of an apple from a tree.
A popular story claims that Sir Isaac Newton was inspired to formulate his theory of universal gravitation by observing an apple fall from a tree. Newton's theory revolutionized the way his society viewed the movement of celestial bodies. A simple equation defines the gravitational force between two objects.
Force = G * mass_1_ * mass_2_ / r^2^
In that slight startle from his contemplation –
"In that slight startle from his contemplation –
Since Adam, with a fall or with an apple.
Since Adam, with a fall or with an apple."
Don Juan (1821), Canto 10, Verse I. In Jerome J. McGann (ed.), Lord Byron: The Complete Poetical Works (1986), Vol. 5, 437
APMonitor Wiki Homepage
APMonitor Documentation Homepage
A popular story claims that Newton was inspired to formulate his theory of universal gravitation by the fall of an apple from a tree.
In that slight startle from his contemplation – 'Tis said (for I'll not answer above ground For any sage's creed or calculation) – A mode of proving that the earth turn'd round In a most natural whirl, called "gravitation;" And this is the sole mortal who could grapple, Since Adam, with a fall or with an apple.
APMonitor software is a modeling, simulation, and optimization environment for large-scale models of differential and algebraic equations (DAEs).
DAE models are a natural expression of many systems. APMonitor enables the use of the nonlinear DAE models directly in parameter estimation, optimization, and control applications.
A number of prebuilt nonlinear models are available with the APMonitor product. The chemical processing modeling package includes polymer reactors, distillation columns, compressors, etc.
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APMonitor Wiki Homepage
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