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Merge pull request #10429 from LipingWang/IndoorGreen_T2b
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IndoorLivingWall (DocUpdate)
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@Myoldmopar
Myoldmopar authored Mar 15, 2024
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37 changes: 19 additions & 18 deletions ...neering-reference/src/simulation-models-encyclopedic-reference-003/indoor-living-wall.tex
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Expand Up @@ -14,37 +14,38 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor

where:

\(Q_{lw-net}\) is the net longwave radiation from surrounding surfaces to indoor living walls(W);
\(Q_{lw-net}\) is the net longwave radiation from surrounding surfaces to indoor living walls (W);

\(Q_{sw}\) is the shortwave radiation on indoor living wall surface(W);
\(Q_{sw}\) is the shortwave radiation on indoor living wall surface (W);

\(h_{ip}\) is the convective heat transfer coefficient(W/(m\(^2\)\(^{\circ}\)C));
\(h_{ip}\) is the convective heat transfer coefficient (W/(m\(^2\)-K));

\(T_z\) is the zone air temperature (\(^{\circ}\)C);

\(T_p\) is the plant surface temperature (\(^{\circ}\)C);

\(A_ip\) is the plant surface area(m\(^2\));
\(A_ip\) is the plant surface area (m\(^2\));

\(\lambda\) is the latent heat of vaporization(J/kg);
\(\lambda\) is the latent heat of vaporization (J/kg);

\(ET\) is the evapotranspiration rate (kg/(m\(^2\)s)).
\(ET\) is the evapotranspiration rate (kg/(m\(^2\)-s)).

Indoor air heat balance connects with indoor living walls through convective heat transfer, which has the opposite sign of the term in surface heat balance. Convective portion of heat gain from LED lights also contributes to zone air heat balance equation.

\begin{equation}
\begin{array}{l}{\rho_{air}}{V_z}{c_p}{dT_z}/{dt} = \sum\limits_{i = 1}^{{N_{sl}}} {\dot Q_i^{}} + \sum\limits_{i = 1}^{{N_{surfaces}}} {{h_i}} {A_i} ({{T_{si}} - {T_z}}) + {{h_ip}}{A_ip}({{T_{p}} - {T_z}})\\ + \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} {C_p}{{T_{zi}} - {T_z}} + {\dot m_{\inf }}{C_p}( {{T_\infty } - {T_z}}) +{\dot Q_{sys}}\end{array}
\begin{array}{l}{\rho_{air}}{V_z}{c_p}{dT_z}/{dt} = \sum\limits_{i = 1}^{{N_{sl}}} {\dot Q_i^{}} + \sum\limits_{i = 1}^{{N_{surfaces}}} {{h_i}} {A_i} ({{T_{si}} - {T_z}}) + {{h_ip}}{A_ip}({{T_{p}} - {T_z}})\\ + \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} {C_p}{{T_{zi}} - {T_z}} + {\dot m_{\inf }}{C_p}( {{T_\infty } - {T_z}}) +{\dot Q_{sys}}\right)\end{array}

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Extra \right.l.36 ..._\infty } - {T_z}}) +{\dot Q_{sys}}\right) \end{array} I'm ignoring a \right that had no matching \left.
\end{equation}

where:

$\frac{\rho_{air} V_z c_p dT_z}{dt}$ represents energy stored in zone air during each timestep (W);
\({\rho_{air}}{V_z}{c_p}\(dT_z}/{dt}\) represents energy stored in zone air during each timestep (W);

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Extra }, or forgotten $.l.41 \({\rho_{air}}{V_z}{c_p}\(dT_z} /{dt}\) represents energy stored in zone... I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'.
$\rho_{air}$ is zone air density (kg/m\(^3\));
\({\rho_{air}}\) is zone air density (kg/m\(^3\));
$c_p$ is the air specific heat (J/(kg\(^{\circ}\)C)) ;
$V_z$ is zone air volume (m$^3$);
\(c_p\) is the air specific heat (J/(kg-K)) ;
\(V_z\) is zone air volume (m\(^3\));
\(\dot Q_i\) is the convective heat from internal loads (W);
Expand All @@ -61,7 +62,7 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor
A modified zone air moisture balance equation shown below considers indoor living walls.
\begin{equation}
\begin{array}{l} \frac{\rho_{air} V_z C_W}{\delta t} \left( {W_z^t - W_z^{t - \delta t}} \right) = \sum\limits_{i = 1}^{{N_{sl}}} {kg_{mass_{sched\;load}}} + kg_{mass_{et}} \\ + \sum\limits_{i = 1}^{{N_{surfaces}}} {{A_i}{h_{mi}}} {\rho_{ai{r_z}}}\left( {{W_{surf{s_i}}} - W_z^t} \right)+ \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} \left( {{W_{zi}} - W_z^t} \right) + {{\dot m}_{\inf }}\left( {{W_\infty } - W_z^t} \right) + {{\dot m}_{sys}}\left( {{W_{\sup }} - W_z^t} \right)\end{array}
\begin{array}{l}{\rho_{air}}{V_z}{C_W}{\left( {\delta t} \right)^{ - 1}}\left( {W_z^t - W_z^{t - \delta t}} \right) = \sum\limits_{i = 1}^{{N_{sl}}} {k{g_{mas{s_{sched\;load}}}}} + kg_{mass_{et}} \\ + \sum\limits_{i = 1}^{{N_{surfaces}}} {{A_i}{h_{mi}}} {\rho_{ai{r_z}}}\left( {{W_{surf{s_i}}} - W_z^t} \right)+ \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} \left( {{W_{zi}} - W_z^t} \right) + {{\dot m}_{\inf }}\left( {{W_\infty } - W_z^t} \right) + {{\dot m}_{sys}}\left( {{W_{\sup }} - W_z^t} \right)\end{array}
\end{equation}
where:
Expand All @@ -70,7 +71,7 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor
\(W\) is the humidity ratio of moisture air (kg moisture/kg dry air);
$\frac{\rho_air V_z C_W}{\delta t} \left(W_z^t - W_z^{t-\delta t}\right)$ represents moisture stored in zone air during each timestep (kg/s);
\({\rho_{air}}{V_z}{C_W}{({\delta t})^{ - 1}})({W_z^t - W_z^{t - \delta t}}) \right)\) represents moisture stored in zone air during each timestep (kg/s);

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Extra \right.l.74 ...1}})({W_z^t - W_z^{t - \delta t}}) \right) \) represents moisture sto... I'm ignoring a \right that had no matching \left.
\(kg_{mass_{et}}\) represents moisture rate from plant evapotranspiration added to zone air (kg/s);
Expand All @@ -92,29 +93,29 @@ \subsection{Evapotranspiration from indoor living wall}\label{evaporation-from-i
where:
\(ET\) is the evapotranspiration rate (kg/m\(^2\)s);
\(ET\) is the evapotranspiration rate (kg/m\(^2\)-s);
\(\lambda\) is the latent heat of vaporization (MJ/kg);
\(\Delta\) is the slope of the saturation vapor pressure-temperature curve (kPa/\(^{\circ}\)C);
\(\Delta\) is the slope of the saturation vapor pressure-temperature curve (kPa/K);
\(\gamma\)is the psychrometric constant (kPa/\(^{\circ}\)C);
\(\gamma\)is the psychrometric constant (kPa/K);
\(I_n\) represents net radiation, which is based on daylighting level and/or LED growth lighting intensity level (MW/m\(^2\));
\(G\) represents soil heat flux, which is assumed to be zero in the current model(MW/m\(^2\));
\(\rho_a\) is air density (kg/m\(^3\));
\(Cp\) is the specific heat of air (MJ/(kg\(^{\circ}\)C));
\(Cp\) is the specific heat of air (MJ/(kg-K));
\(VPD\) is vapor pressure deficit (kPa);
\(r_s\) is surface resistance, which is the resistance to the flow of vapor through the crop to the leaf surface (s/m);
\(r_a\) represents aerodynamic resistance, which is the resistance to the flow of water vapor and sensible heat from the surface of the leaf to the surrounding air (s/m).
Empirical models of stomatal resistance such as the Jarvis and the Ball models require experimental data to generate submodel structure and fit the model coefficients. In this module, we used the surface and aerodynamic resistance models from Graamans et al. to calculate $r_s$ and $r_a$.
Empirical models of stomatal resistance such as the Jarvis and the Ball models require experimental data to generate submodel structure and fit the model coefficients. In this module, we used the surface and aerodynamic resistance models from Graamans et al. to calculate r_s and r_a.

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Missing $ inserted.<inserted text> $ l.118 ...dels from Graamans et al. to calculate r_ s and r_a. I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed.

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Missing $ inserted.<inserted text> $ l.119
\begin{equation}
r_s=60 \cdot (1500+I_n/C)/(200+I_n/C)
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69 changes: 2 additions & 67 deletions doc/input-output-reference/src/overview/group-internal-gains-people-lights-other.tex
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Expand Up @@ -2380,7 +2380,7 @@ \subsubsection{Inputs}\label{inputs-indoorlivingwall}

\paragraph{Field: LED-Daylight Targeted Lighting Intensity Schedule Name}\label{field-led-daylight-targeted-lighting-intensity-schedule-name}

This field defines targeted LED intensity levels the photosynthetic photon flux density (PPFD) in the unit of \unit{\micro\mole\per\square\meter\per\second} for indoor living wall systems. The schedule values can be any positive number representing the targeted PPFD.
This field is the name of the schedule that defines targeted LED intensity levels the photosynthetic photon flux density (PPFD) in the unit of \unit{\micro\mole\per\square\meter\per\second} for indoor living wall systems when LED-Daylight method is used. The schedule values can be any positive number representing the targeted PPFD.

\paragraph{Field: Total Leaf Area}\label{field-total-leaf-area}

Expand All @@ -2396,7 +2396,7 @@ \subsubsection{Inputs}\label{inputs-indoorlivingwall}

\paragraph{Field: Radiant Fraction of LED Lights}\label{field-radiant-fraction-of-led-lights}

This field defines the fraction of LED lights (radiant fraction) supporting plant photosynthesis.
This field defines the radiant fraction of LED lights.

An IDF example:

Expand Down Expand Up @@ -2446,71 +2446,6 @@ \subsubsection{Outputs}\label{outputs-indoorlivingwall}
Zone,Sum,Indoor Living Wall LED Electricity Energy {[}J{]}
\end{itemize}

\paragraph{Baseboard Electricity Rate {[}W{]}}\label{baseboard-electric-power-w}

This field is the electric power for the ZoneBaseboard:OutdoorTemperatureControlled object in Watts.

\paragraph{Baseboard Electricity Energy {[}J{]}}\label{baseboard-electric-energy-j}

The outdoor temperature controlled baseboard heat option is assumed to be fueled by electricity. This field is the same as the Baseboard Total Heating Energy (above) in joules. This energy is included in the following meters:
\begin{lstlisting}
Electricity:Facility
Electricity:Building
Electricity:Zone:<Zone Name>
Electricity:SpaceType:<Space Type Name>
InteriorEquipment:Electricity
InteriorEquipment:Electricity:Zone:<Zone Name>
InteriorEquipment:Electricity:SpaceType:<Space Type Name>
<End-Use Subcategory>:InteriorEquipment:Electricity
<End-Use Subcategory>:InteriorEquipment:Electricity:Zone:<Zone Name>
<End-Use Subcategory>:InteriorEquipment:Electricity:SpaceType:<Space Type Name>
\end{lstlisting}

\paragraph{Baseboard Radiant Heating Rate {[}W{]}}\label{baseboard-radiant-heating-rate-w}

\paragraph{Baseboard Radiant Heating Energy {[}J{]}}\label{baseboard-radiant-heating-energy-j}

These output variables are the amount of radiant heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the zone and the ``Fraction Radiant'' specified in the input. The radiant gains (long wavelength) are distributed to the surfaces using an area weighting scheme.

\paragraph{Baseboard Convective Heating Rate {[}W{]}}\label{baseboard-convective-heating-rate-w}

\paragraph{Baseboard Convective Heating Energy {[}J{]}}\label{baseboard-convective-heating-energy-j}

These output variables are the amount of convective heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the zone and the ``Fraction Radiant'' specified in input (1-FractionRadiant = FractionConvected). The convective heat gain is added to the zone air heat balance directly.

\paragraph{Baseboard Total Heating Rate {[}W{]}}\label{baseboard-total-heating-rate-w}

\paragraph{Baseboard Total Heating Energy {[}J{]}}\label{baseboard-total-heating-energy-j}

These output variables are the amount of heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the sum of the radiant and convective heat gains from the baseboard heat.

\paragraph{Space or Zone Baseboard Electricity Rate {[}W{]}}\label{zone-baseboard-electric-power-w}

This field is the electric power for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts.

\paragraph{Space or Zone Baseboard Electricity Energy {[}J{]}}\label{zone-baseboard-electric-energy-j}

The outdoor temperature controlled baseboard heat option is assumed to be fueled by electricity. This field is the same as the Baseboard Total Heating Energy (above) in joules.

\paragraph{Space or Zone Baseboard Radiant Heating Rate {[}W{]}}\label{zone-baseboard-radiant-heating-rate-w}

\paragraph{Space or Zone Baseboard Radiant Heating Energy {[}J{]}}\label{zone-baseboard-radiant-heating-energy-j}

These output variables are the amount of radiant heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the space or zone and the ``Fraction Radiant'' specified in the input. The radiant gains (long wavelength) are distributed to the surfaces using an area weighting scheme.

\paragraph{Space or Zone Baseboard Convective Heating Rate {[}W{]}}\label{zone-baseboard-convective-heating-rate-w}

\paragraph{Space or Zone Baseboard Convective Heating Energy {[}J{]}}\label{zone-baseboard-convective-heating-energy-j}

These output variables are the amount of convective heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the space or zone and the ``Fraction Radiant'' specified in input (1-FractionRadiant = FractionConvected). The convective heat gain is added to the space or zone air heat balance directly.

\paragraph{Space or Zone Baseboard Total Heating Rate {[}W{]}}\label{zone-baseboard-total-heating-rate-w}

\paragraph{Space or Zone Baseboard Total Heating Energy {[}J{]}}\label{zone-baseboard-total-heating-energy-j}

These output variables are the amount of heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the sum of the radiant and convective heat gains from the baseboard heat.


\subsection{ElectricEquipment:ITE:AirCooled}\label{electricequipmentiteaircooled}

This object describes air-cooled electric information technology equipment (ITE) which has variable power consumption as a function of loading and temperature.
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