Equazioni
Lo scopo della sezione equations
in un file del componente è quello di stabilire le relazioni matematiche tra le variabili, i parametri, gli input e gli output del componente, il tempo di simulazione e le derivate temporali di ciascuna di queste entità.
Analogamente, la sezione equations
in un file del dominio serve a stabilire le relazioni matematiche tra le variabili across, i parametri e gli intermedi del dominio. Le equazioni del dominio si propagano ai nodi del tipo di dominio corrispondente.
La sintassi delle equazioni dei componenti e del dominio è identica. Defining Component Equations fornisce le informazioni generiche per la scrittura delle equazioni in linguaggio Simscape™. Domain Equations fornisce informazioni specifiche sulle equazioni del dominio.
Sintassi del linguaggio
assert | Program customized run-time errors and warnings |
delay | Return past value of operand |
der | Return time derivative of operand |
equations | Define component or domain equations |
function | Reuse expressions in component equations and in member declarations of domains and components |
if | Specify conditional equations, assignments, annotations, and conditional sections in component files |
.if | Perform element-wise conditional operations with array-type predicates (Da R2023b) |
integ | Perform time integration of expression |
intermediates | Define intermediate terms for use in equations |
scatteredlookup | Return value based on interpolating unstructured set of data points (Da R2023a) |
tablelookup | Return value based on interpolating set of data points |
time | Access global simulation time |
value | Convert variable or parameter to unitless value with specified unit conversion |
Argomenti
- Defining Component Equations
The purpose of the
equations
section in a component file is to establish the mathematical relationships between the variables, parameters, inputs, and outputs of the component, the simulation time, and the time derivatives of each of these entities. - Simple Algebraic System
This example shows implementation for a simple algebraic system.
- Use Simulation Time in Equations
This example shows how you can access global simulation time from the equation section.
- Using Conditional Expressions in Equations
You can specify conditional expressions in equations or conditional assignments to intermediates by using
if
and.if
statements. - Using Intermediate Terms in Equations
Textbooks often define certain equation terms in separate equations, and then substitute these intermediate equations into the main one.
- Using Lookup Tables in Equations
You can use the
tablelookup
function in theequations
section of the Simscape file to interpolate input values based on a set of data points in a one-dimensional, two-dimensional, three-dimensional, or four-dimensional table. - Programming Run-Time Errors and Warnings
Use the
assert
construct to implement run-time error and warning messages for a custom block. - Initial Equations
Specify additional equations to be executed during model initialization only.
- Simscape Functions
Use Simscape functions to reuse expressions in equations and member declarations of multiple components.
- Import Symbolic Math Toolbox Equations
Example of using Symbolic Math Toolbox™ software to solve the physical equations, generate code in the format appropriate for the Simscape language equation section, and incorporate the generated code into the equation section of a component file.
- Domain Equations
Specify additional equations to propagate to all the components that have nodes of the corresponding domain type.