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HansOlsson committed Jan 4, 2022
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4 changes: 2 additions & 2 deletions chapters/derivationofstream.tex
Expand Up @@ -3,7 +3,7 @@ \chapter{Derivation of Stream Equations}\label{derivation-of-stream-equations}
This appendix contains a derivation of the equation for stream
connectors from \cref{stream-connectors}.

\section{Reasons for avoiding the actual mixing enthalpy in connector definitions}\label{reasons-for-avoiding-the-actual-mixing-enthalpy-in-connector-definitions}
\section{Mixing Enthalpy}\label{reasons-for-avoiding-the-actual-mixing-enthalpy-in-connector-definitions}\label{mixing-enthalpy}

Consider a connection set with $n$ connectors, and denote the mass flow rates \lstinline!m_flow! by $\tilde{m}$.
The mixing enthalpy is defined by the mass balance (the general mass-balance for a component has
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\caption{Exemplary connection set with three connected components and a common mixing enthalpy.}
\end{figure}

\section{Rationale for the formulation of inStream}\label{rationale-for-the-formulation-of-the-instream-operator}
\section{Rationale for inStream}\label{rationale-for-the-formulation-of-the-instream-operator}\label{rationale-for-instream}

For simplicity, the derivation of \lstinline!inStream! is shown at hand of 3 model components that are connected together.
The case for $N$ connections follows correspondingly.
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2 changes: 1 addition & 1 deletion chapters/synchronous.tex
Expand Up @@ -1026,7 +1026,7 @@ \subsection{Sub-clock Inferencing}\label{sub-clock-inferencing}
64 bit internal representation of numerator and denominator with sign can be used and gives minimum resolution $1.08\times 10^{-19}$ seconds and maximum range $9.22\times 10^{18}$~seconds = $2.92\times 10^{11}$~years.
\end{nonnormative}

\section{Continuous-Time Equations in Clocked Partitions}\label{continuous-time-equations-in-clocked-partitions}
\section{Clocked-Discretized - Continuous-Time Equations in Clocked Partitions}\label{continuous-time-equations-in-clocked-partitions}\label{clocked-discretized-continuous-time-equations-in-clocked-partitions}

\begin{nonnormative}
The goal is that every continuous-time Modelica model can be utilized in a sampled data control system.
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