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Part 1 - Mathematical Behavior:
Introduction:
What is Modelica?:
Why Modelica?:
What Modelica allows me to do:
Basic Equations:
Introduction:
Examples:
Simplest possible model:
- der
- Real
- model
- Comment Strings
- initial equations
Newtons Law of Cooling:
- parameter
# Default values
- Numbers
# Equation, not assignment
- Comments
- Identifiers
- type
- unit
- displayUnit
LotkaVolterra:
# Multiple variables
- extends
- start
- min_attr
# start for initial conditions
# start for non-linear iteration
RLC:
Rotational Spring-Mass-Damper:
# Allows us to use it later for speed measurement?
Review:
Lexical Conventions:
- model
- type
- end
- Comment Strings
Built-in Types:
- Real
- Integer
- Boolean
- String
- min_attr
- max_attr
- nominal
- quantity
Variables:
- constant
- parameter
Equations:
- der
- Equality equations
- Arithmetic Operators
Builtin Functions:
- Mathematical Functions
- min
- max
States:
# Discuss states and state selection?
Initialization:
- initial equations
- fixed # Explanation: Allows you to flip special initial equations on and off?
# Number of variables
Inheritance:
- extends
- class_modifications
Conclusion:
Discrete Behavior:
Introduction:
Examples:
Newton Cooling:
- if equation
- if expression
# Variable convection?
# Time events
Bouncing Ball:
- when equation
- reinit
- pre
# State events
Decay:
# event semantics
# chattering
RLC with Switch:
# Better than the Newton Cooling example?
Pulse Generator:
- sample
- Logical Operators
# Discuss discrete states
# Multiple pulses at different frequencies
# and then signals to or and and them?
Counter:
- sample
- pre
Backlash:
# Fits the rotational example
Speed Measurement:
- when statement
- discrete
# equations with same right hand side.
# second order ODEs
Hysteresis:
Review:
Logical expression:
- Relational Operators
- Logical Operators
- edge
- change
If vs. When:
Events:
Functions and Events:
- Event Generating Functions
- abs
- sqrt
- sign
- initial
- terminal
- noEvent
- smooth
- smoothOrder
- delay # Good example?!?
- terminate
Discrete Variables:
- discrete
Equations:
Algorithms:
- initial algorithms
Control Structures:
- if statement
- if equation
- when statement
- when equation
Vector and Array Equations:
Examples:
ABCD Form: # With analytical solution to demo trig functions?
# Use ABCD form of Lotka-Volterra, RLC, SMD, etc.
# Time invariant, Time variant and Non-linear, etc
# ABCD as parameters OR variables
# Perhaps a sidebar on default values for parameters?
# Inheritance
- Array Construction
- Array Concatenation
One-dimensional Heat Conduction:
- for equations
- Array Comprehensions
# vector notation
- end index
Chemical equations:
- enumeration
- Enumeration Indexing
Review:
Array Declarations:
Array Construction:
# Matrix literal notation
- Array Concatenation
# Vector literal notation
# Ways of building higher dimension arrays
- Array Construction
# Array comprehensions
Arrays Functions:
- Array Constructor Functions
- fill
- zeros
- ones
- linspace
- Array Conversion Functions
- Array Algebraic Functions
- ndims
- size
- sum
- product
# Vectorization of functions
Enumerations:
- enumeration
Indexing:
- Array indexing
- Enumeration Indexing
- slicing
- end index
Looping:
- for equations
- for statement
Functions:
Introduction:
Examples:
Basic Function:
# Polynomial
- function
- derivative
- protected
# Harmonic series?
Interpolation:
# Interpolation
# Smoothness + derivative annotation
# Foreign function
- external
- derivative
- ExternalObject
- Include
- IncludeDirectory
Controller:
- pure
- impure
Chemical Reaction:
# Where reaction coefficient (array) is replaced by function
# call
Non-Linear Equations:
# ?
#- homotopy ? (not at present)
- inverse
Review:
Modelica Functions:
- function
- algorithm
- protected
Control flow and return values:
- break
- return
- if statement
- for statement
- while statement
External Functions:
- external
- ExternalObject
Pure vs. Impure:
- pure
- impure
Annotations:
- derivative
- Include
- IncludeDirectory
- Library
- LibraryDirectory
- inverse
- Inline
- LateInline
- GenerateEvents #?
# Event Generation
Part 2 - Components:
Packages:
Introduction:
# Introduce Modelica Standard Library
Examples:
Nested packages:
# Introduce the idea of packages with a really simple example
RLC:
# Show use of fully qualified type names in declarations
Newton Cooling:
# Show imports of names (including renaming)
SecondOrderSystem:
# Wildcard imports
Review:
# Lookup rules!
- package
- import
- within
# Directory storage
Connectors:
Introduction:
Through and Across Variables:
Examples:
Electrical:
Thermal:
Rotational:
Translational:
MSL:
# Show MSL connectors
Hydraulic:
# Mass
ThermoFluid:
# Mass and energy
Chemical:
# multiple species?
# TOO DIFFICULT (should use enum, which means medium model)
Block Connectors:
# Integer
# Real
# Last because they are a last resort
Review:
Connector Definitions:
- connector
Variables:
- parameter
- flow
- input
- output
Annotations:
- Icon
- Documentation
# modelica:// links
Components:
Introduction:
# Erector set/Building blocks
Reuse:
Conservation equations:
Balancing:
Multi-Domain:
Multi-Paradigm:
Examples:
Newtons Law of Cooling:
# Fundamental components
RLC:
# Revisit switch
Rotational Spring-Mass-Damper:
# Revisit backlash
# Dialog(group, showStartAttribute)
Rotational Gear:
# Cover supports/reaction torques
# Optional components!
# State selection/consistent initialization
LotkaVolterra:
# Need to define connectors and types here
# Blog examples
- AssertionLevel
- assert
Block Diagram Components:
- block
# Warning: not the way to do physical modeling (lecturer blackboard problem)
# Basic blocks
# Vector connectors (sum)
# Add control
# Thermal model
# Sensors and actuators
Speed measurement:
# Sensor measurement
Chemistry example:
# Revisit but show how we can ensure conservation
# Not expandable connectors yet, save that for
# architectures.
Review:
Blocks vs. Models vs. Records:
# Review connection rules regarding inputs and outputs
- input
- output
- record
- model
- block
Systems:
# structural type system
- connect
- element_modifications
- final
Model Boundaries:
- AssertionLevel
- assert
Conditional Components:
- conditional
Annotations:
- Icon
- Documentation
- Dialog
# Include "showStartAttribute" in Dialog discussion
- Documentation
- DynamicSelect
- defaultComponentName
- defaultComponentPrefixes
- Evaluate
- HideResult
- experiment
- preferredView
- unassignedMessage
# Subsystems, Inheritance and Architectures are all related at some level.
# Need to think about how to "fuse" these topics nicely.
# Use MSL? (or maybe both, examples and MSL?)
# Subsystems - Start with just systems of components (no redeclare or replaceable)
Subsystems:
Introduction:
Examples:
Gear with inertias:
# Propagate
- final
Lotka-Volterra:
# Region subsystems
# Unconnected semantics (or perhaps earlier?)
# Migration
Switched Power Supply:
# Model diode failure using a switch/short?
# Demonstrate parameter expressions (to short diode)
Transmission:
# ???
1D heat transfer:
# Use arrays (of components)
Pendula:
# Arrays of subsystems, 3D and animation
Review:
# Parameter propagation
- final
- protected
Protection:
- protected
- public
# Arrays of components
# Diagram annotations
Architecture:
Introduction:
Examples:
Speed Sensing System:
# Introduce feedback control
- replaceable
Thermal Control Example (MultiDomainControl):
# Implement sensor with time constant or sampling
# Create block for controller and plant
# Make sensor and controller replaceable
# Heat demand and on/off actuators
# Could be used to demonstrate how to do inverse control later
- replaceable
- expandable
# Another example???
Review:
Reuse:
- partial
- redeclare
Interfaces:
Architecture:
- replaceable
- constrainedby
# Mention vehicle interfaces
Implementation:
- redeclare
Buses:
- expandable
Annotations:
- choices
Part 3 - Advanced Topics:
Building Libraries:
Review:
Packages:
- package
- encapsulated
Annotation:
- version
- uses
Creating Template Models:
# Riff off of the SMD model presented in the section on propagation
Handling Data:
Testing:
Symbolic manipulation:
Examples:
Coupled Rotational SMD System:
- stateSelect
- StateSelect
I/O:
Introduction:
# I/O as a last result
Examples:
Review:
Printing:
- Conversion Functions
- getInstanceName
Dynamic Scoping:
Introduction:
Examples:
Review:
Annotations:
- missingInnerMessage
Operator Overloading:
Examples:
# Revist external object interpolation but with
# multiple constructors?
Review:
- operator
- operator function
- operator record
Discrete Systems:
# State machines
Parametric Modeling:
# semiLinear?
Fluid Systems:
Review:
- actualStream
- inStream
- spatialDistribution
- semiLinear
- stream
- homotopy # Good example?!?
# If I can find an example that used semi-linear,
# I could introduce it somewhere else
Variable Structure:
Backward Models:
# Build existing architecture model that's invertible?
Model-Based System Engineering: