Terminology

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Block: a technology that produces, consumes, converts, stores or transports energy

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Controller: a technology that control a block or a group of blocks

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Location: a site

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Node: a combination of blocks, controllers and a location

Terminology - 2

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modular time integration / multi-framing / multi-rate (and multi-method) integration /// modular simulation

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clocked discretized continuous-time

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communication step size control

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algebraic loops / cyclic dependencies

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time-based block diagrams

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coupled system with direct feed-through

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sequential modular time integration methods (for coupled multi-body system models)

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classical monolithic simulation techniques

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coupling strategies (coupling mechanism) and partitioning

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block oriented representation: \(u_{j}\rightarrow\boxed{\dot{x_{j}}=f_{j}(x_{j},u_{j})}\rightarrow y_{j}=g_{j}(x_{j},u_{j})\)

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sampling points: \(T_{n}\) (Kubler 2000)

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macro steps: \(T_{n}\rightarrow T_{n+1}\) (Kubler 2000)

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sampling rate: \(H_{n}=T_{n+1}-T_{n}\) (Kubler 2000)

Subsystem

\begin{equation}
\left\{\begin{array}[]{ll}\dot{x_{j}}(t)=f_{j}(x_{j}(t),u_{j}(t),u_{ex}(t))\\
y_{j}(t)=g_{j}(x_{j}(t),u_{j}(t))\\
\end{array}\right.\\
\end{equation}

\begin{equation}
u_{j}(t)=c_{j}(y_{1}(t),...,y_{j-1}(t),y_{j+1}(t),...,y_{r}(t)),j\in[1,r]\\
\end{equation}

\begin{equation}
\left\{\begin{array}[]{ll}\dot{x}(t)=f(x(t),u(t),u_{ex}(t))\\
y(t)=g(x(t),u(t)),u(t)=c(y(t))\\
\end{array}\right.\\
\end{equation}

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