Skip to content

Commit

Permalink
Merge pull request #10548 from NREL/extendedHI
Browse files Browse the repository at this point in the history
Adopt the Extended Heat Index calculation in zone resilience
  • Loading branch information
Myoldmopar authored Sep 11, 2024
2 parents 27f9b68 + 5302783 commit a038e07
Show file tree
Hide file tree
Showing 8 changed files with 1,280 additions and 89 deletions.
Original file line number Diff line number Diff line change
Expand Up @@ -66,69 +66,17 @@ \subsubsection{Heat Index}\label{heat-index}
\end{tabular}
\end{table}

The computation of the heat index is a refinement of a result obtained by
Before version 24.2, the computation of the heat index is a refinement of a result obtained by
multiple regression analysis carried out by Lans P. Rothfusz and described in a
1990 National Weather Service (NWS) Technical Attachment (SR 90-23) [4-5]. The
calculation is based on degree Fahrenheit.
1990 National Weather Service (NWS) Technical Attachment (SR 90-23) [4-5].

The regression equation of Rothfusz is
\begin{equation} \label{eq:rm-1}
HI = c_1 + c_2T + c_3R + c_4TR + c_5T^2 + c_6R^2 + c_7T^2R + c_8TR^2 + c_9T^2R^2
\end{equation}

where

HI = heat index (expressed as an apparent temperature in degrees Fahrenheit),

T = ambient dry-bulb temperature (in degrees Fahrenheit),

R = relative humidity (percentage value between 0 and 100),

$c_1$ = -42.379,

$c_2$ = 2.04901523,

$c_3$ = 10.14333127,

$c_4$ = -0.22475541,

$c_5$ = -0.00683783,

$c_6$ = -0.05481717,

$c_7$ = 0.00122874,

$c_8$ = 0.00085282,

$c_9$ = -0.00000199.

If the RH is less than 13\% and the temperature is between 80 and \IP{112}{\fahrenheit}, then
the following adjustment is subtracted from HI:

\begin{equation} \label{eq:rm-2}
HI = (13 - R) / 4 * ((17 - |T - 95|) / 17)^{0.5}
\end{equation}

Otherwise, if the RH is greater than 85\% and the temperature is between 80 and
\IP{87}{\fahrenheit}, then the following adjustment is added to HI:

\begin{equation} \label{eq:rm-3}
HI = (R - 85) / 10 * (87 - T) / 5
\end{equation}

The Rothfusz regression is not appropriate when conditions of temperature and
humidity warrant a heat index value below about \IP{80}{\fahrenheit}. In those cases, a simpler
formula is applied to calculate values consistent with Steadman's results:

\begin{equation} \label{eq:rm-4}
HI = 0.5 * (T + 61.0 + (T - 68.0) * 1.2 + (R * 0.094))
\end{equation}

In practice, the simple formula is computed first based on the temperature and
humidity. If this heat index value is \IP{80}{\fahrenheit} or higher, the full regression
equation along with any adjustment as described above is applied. The Rothfusz
regression is not valid for extreme temperature and relative humidity conditions
beyond the range of data considered by Steadman.
Starting from version 24.2, the heat index calculation adopts the extended heat
index method developed by Lu \& Romps [17]. The previous heat index gives
unrealistic results for very hot and humid or very cold and dry conditions. The
extended index extends the domain of the heat index calculation to all
combinations of temperature and relative humidity and gives a more realistic heat
index for the extreme conditions. The implementation in EnergyPlus is based on
the released Python code by Lu and Romps [18].

The Heat Index Hours (accumulated hours for a space) and Heat Index
OccupantHours (accumulated hours for the sum of all occupants in a space) of
Expand Down Expand Up @@ -516,3 +464,11 @@ \subsection{References}

{[}16{]} ACGIH, Threshold Limit Values (TLVs) and Biological Exposure Indices
(BEIs), 2012. doi:10.1073/pnas.0703993104.

{[}17{]} Lu, Yi-Chuan, and David M. Romps. ``Extending the heat index''. Journal
of Applied Meteorology and Climatology 61, no. 10 (2022): 1367-1383.
doi:10.1073/pnas.0703993104.

{[}18{]} Lu, Yi-Chuan, and David M. Romps. ``Lu and Romps, Extending the heat index, JAMC, 2022'',
Physics of Climate, February 23, 2023.
https://romps.berkeley.edu/papers/pubs-2020-heatindex.html.
2 changes: 2 additions & 0 deletions src/EnergyPlus/CMakeLists.txt
Original file line number Diff line number Diff line change
Expand Up @@ -262,6 +262,8 @@ set(SRC
EvaporativeFluidCoolers.hh
ExhaustAirSystemManager.cc
ExhaustAirSystemManager.hh
ExtendedHI.cc
ExtendedHI.hh
ExteriorEnergyUse.cc
ExteriorEnergyUse.hh
ExternalInterface.cc
Expand Down
Loading

4 comments on commit a038e07

@nrel-bot-2c
Copy link

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

develop (Myoldmopar) - x86_64-Linux-Ubuntu-22.04-gcc-11.4: OK (2915 of 2915 tests passed, 0 test warnings)

Build Badge Test Badge

@nrel-bot-2c
Copy link

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

develop (Myoldmopar) - x86_64-Linux-Ubuntu-22.04-gcc-11.4-UnitTestsCoverage-RelWithDebInfo: OK (2099 of 2099 tests passed, 0 test warnings)

Build Badge Test Badge Coverage Badge

@nrel-bot
Copy link

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

develop (Myoldmopar) - Win64-Windows-10-VisualStudio-16: OK (2893 of 2893 tests passed, 0 test warnings)

Build Badge Test Badge

@nrel-bot-2c
Copy link

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

develop (Myoldmopar) - x86_64-Linux-Ubuntu-22.04-gcc-11.4-IntegrationCoverage-RelWithDebInfo: OK (799 of 799 tests passed, 0 test warnings)

Build Badge Test Badge Coverage Badge

Please sign in to comment.