Changes between Version 5 and Version 6 of doc/app/indoorequ


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Timestamp:
Jul 31, 2019 12:50:01 PM (5 years ago)
Author:
srissman
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  • doc/app/indoorequ

    v5 v6  
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    34 To represent the opaque wall and transparent window areas in buildings, a window fraction for horizontal and vertical surfaces gives the ratio of window to wall at a single façade element. The sum  of each elemental ratio gives the ratio of the entire building. The ratio of the window area ''x'',,win,hv,, is a parameter of the USM.\\
     34To represent the opaque wall and transparent window areas in buildings, a window fraction for horizontal and vertical surfaces gives the ratio of window to wall at a single façade element. The sum  of each elemental ratio gives the ratio of the entire building. The ratio of the window area ''x'',,win,hv,, is a parameter of the [wiki:doc/tec/usm USM].\\
    3535
    3636{{{
     
    7171}}}
    7272
    73 The complete ground surface of a building involves every storey gets a ground surface. To represent this, a net floor area is calculated. The height of the storey ''h'',,storey,, is a parameter of USM.
     73The complete ground surface of a building involves every storey gets a ground surface. To represent this, a net floor area is calculated. The height of the storey ''h'',,storey,, is a parameter of [wiki:doc/tec/usm USM].
    7474
    7575{{{
     
    8888\end{align*}
    8989}}}
    90 The ratio of effective area ''Λ'',,𝐴𝑇,, and the dynamic parameter of specific effective surface 𝑎 are parameters of the USM.\\
     90The ratio of effective area ''Λ'',,𝐴𝑇,, and the dynamic parameter of specific effective surface 𝑎 are parameters of the [wiki:doc/tec/usm USM].\\
    9191
    9292= Model scheme =
     93
     94The ICM is part of the [wiki:doc/app/indoorref DIN EN ISO 13790:2008] with simplfified dynamic hour-based procedure.
    9395
    9496The ICM is based on an analytical solution of Fourier’s law considering a resistance model with five resistances ''R'' [K/W] and one heat capacity ''C'' [J/K] as seen in figure 2.
     
    102104
    103105From a numerical perspective, this network consists of five reciprocal resistances ''H'' and one heat storage capacity ''C'':\\
    104 ''H'',,v,, is the heat transport by ventilation between surface-near exterior air ''ϑ'',,n,, and indoor air ''ϑ'',,i,,. It is calculated with,
     106''H'',,v,, is the heat transport by ventilation between surface-near exterior air from [wiki:doc/app/indoorref DIN EN ISO 13789]. ''ϑ'',,n,, and indoor air ''ϑ'',,i,,. It is calculated with,
    105107
    106108{{{
     
    111113}}}
    112114
    113 The volumetric heat capacity of air  ''ρ'',,air,,⋅''c'',,p,, is assumed as 0.33⋅W h K^−1^  m^-3^. The schedule on-time ''Z'',,sched,, , the airflow time of occupancy ''c'',,ACH,high,, , the airflow time of no occupancy ''c'',,ACH,low,, and the efficiency of heat recovery in the ventilation ''η'',,v,, are parameters of the USM.\\
     115The volumetric heat capacity of air  ''ρ'',,air,,⋅''c'',,p,, is assumed as 0.33⋅W h K^−1^  m^-3^. The schedule on-time ''Z'',,sched,, , the airflow time of occupancy ''c'',,ACH,high,, , the airflow time of no occupancy ''c'',,ACH,low,, and the efficiency of heat recovery in the ventilation ''η'',,v,, are parameters of the [wiki:doc/tec/usm USM].\\
    114116
    115117''H'',,t,is,, is the connective heat transfer between indoor air ''ϑ'',,i,, and interior surface ''ϑ'',,s,, considering all room-enclosing surfaces.
     
    156158\end{align*}
    157159}}}
    158 The thickness ''𝑑'',,𝑙𝑎𝑦𝑒𝑟4,, and the thermal heat conductivity ''𝜆'',,𝑙𝑎𝑦𝑒𝑟4,, of the fourth layer are a parameter of USM.\\
     160The thickness ''𝑑'',,𝑙𝑎𝑦𝑒𝑟4,, and the thermal heat conductivity ''𝜆'',,𝑙𝑎𝑦𝑒𝑟4,, of the fourth layer are a parameter of [wiki:doc/tec/usm USM].\\
    159161''H'',,t,1,, , ''H'',,t,2,, and ''H'',,t,3,, are auxiliary variables for calculation of the heat transport.
    160162
     
    178180== Thermal load and temperature calculations\\
    179181
    180 The internal air load is calculated with the internal heat gains with respect of occupancy of the building. The schedule is a parameter of the USM.
     182The internal air load is calculated with the internal heat gains with respect of occupancy of the building. The schedule is a parameter of the [wiki:doc/tec/usm USM].
    181183{{{
    182184#!Latex
     
    185187\end{align*}
    186188}}}
    187 ''Φ'',,sol,, is the heat load from shortwave radiation through all windows in respect of automatic window shutters. At a value of 300 W m^-2^ shortwave radiation, the automatic window shutters are set as on. With activated the shutters the shading factor ''f'',,c,, of the sun protection take effect. The shading factor ''f'',,c,, and the g-value ''g'',,win,, are parameters of the USM.
     189''Φ'',,sol,, is the heat load from shortwave radiation through all windows in respect of automatic window shutters. At a value of 300 W m^-2^ shortwave radiation, the automatic window shutters are set as on. With activated the shutters the shading factor ''f'',,c,, of the sun protection take effect. The shading factor ''f'',,c,, and the g-value ''g'',,win,, are parameters of the [wiki:doc/tec/usm USM] based on [wiki:doc/app/indoorref DIN 4108-2].
    188190
    189191{{{
     
    215217\end{align*}
    216218}}}
    217 The fractions for wall/vegetation ''𝑥'',,𝑤𝑎𝑙𝑙,𝑣𝑒𝑔,, and window ''𝑥'',,𝑤𝑖𝑛,ℎ𝑣,, are parameters of the SURFACEMOD.
    218 The temperatures for of wall/vegetation ''𝜗'',,𝑤𝑎𝑙𝑙,𝑣𝑒𝑔,, and for windows ''𝜗'',,𝑤𝑖𝑛,, are parameters of USM.\\
     219The fractions for wall/vegetation ''𝑥'',,𝑤𝑎𝑙𝑙,𝑣𝑒𝑔,, and window ''𝑥'',,𝑤𝑖𝑛,ℎ𝑣,, are parameters of the [wiki:doc/tec/lsm Land surface model (LSM)].
     220The temperatures for of wall/vegetation ''𝜗'',,𝑤𝑎𝑙𝑙,𝑣𝑒𝑔,, and for windows ''𝜗'',,𝑤𝑖𝑛,, are parameters of [wiki:doc/tec/usm USM].\\
    219221''Φ'',,𝑚,𝑡𝑜𝑡,, is the of total mass specific thermal load, internal and external.
    220222{{{
     
    224226\end{align*}
    225227}}}
    226 The ambient temperature ''𝜗'',,𝑎𝑚𝑏,, is the undisturbed outside temperature and an input of PALM Model. The near façade temperature ''𝜗'',,𝑛𝑒𝑎𝑟,𝑓𝑎𝑐,, is the outside air temperature 10 cm away from the façade and an input of the Surface mod.\\
     228The ambient temperature ''𝜗'',,𝑎𝑚𝑏,, is the undisturbed outside temperature and an input of PALM Model. The near façade temperature ''𝜗'',,𝑛𝑒𝑎𝑟,𝑓𝑎𝑐,, is the outside air temperature 10 cm away from the façade and an input of the [wiki:doc/tec/lsm Land surface model (LSM)].\\
    227229
    228230''ϑ'',,m,t,, is the (fictive) component temperature at actual time step.
     
    289291\end{align*}
    290292}}}
    291 The intended air temperatures for heating ϑ_(h,set) and for cooling ''ϑ'',,c,set,, are parameters of USM. \\
     293The intended air temperatures for heating ϑ_(h,set) and for cooling ''ϑ'',,c,set,, are parameters of [wiki:doc/tec/usm USM]. \\
    292294To estimate the needed amount of heating/ cooling, the unlimited heating/cooling demand ''Φ'',,HC,nd,un,, is calculated without the consideration of the maximum thermal capacity.
    293295{{{
     
    320322\end{align*}
    321323}}}
    322 The maximal heating ''Φ'',,heat,max,, and cooling ''Φ'',,cool,max,, power is calculated with the heat flux ''q'',,h,max,, and ''q'',,c,max,, which are parameters of USM.
     324The maximal heating ''Φ'',,heat,max,, and cooling ''Φ'',,cool,max,, power is calculated with the heat flux ''q'',,h,max,, and ''q'',,c,max,, which are parameters of [wiki:doc/tec/usm USM].
    323325{{{
    324326#!Latex
     
    346348\end{align*}
    347349}}}
    348 The anthropogenic heat parameter for heating c_(waste,heat) and cooling c_(waste,cool) are parameters of USM.\\
     350The anthropogenic heat parameter for heating c_(waste,heat) and cooling c_(waste,cool) are parameters of [wiki:doc/tec/usm USM].\\
    349351\\
    350352