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Further Discussion
The model uses five primary weather variables: temperature, relative
humidity, cloud cover, wind speed and direction, and precipitation.
Precipitation is itself more a category than a mathematical variable. In some
climates, TESLA only uses rainfall, typically measured as cumulative amount by
hour. In other climates, it includes a family of precipitation variables,
including rain, snowfall, and other types of precipitation (e.g. freezing rain).
Useful extensions of the precipitation variable include the cumulative snowfall
over the previous 12 or 24 hours, and the amount of snow and ice on the ground
at 7.00am [07:00], when people make their decisions to go to work, and
institutional closing decisions are made (e.g. whether or not to cancel school
or close governmental administrative functions).
Variable Effects of Weather
The effects of the weather variables vary tremendously across the day, by
season, and by day type. The model takes these differences into account through
two mechanisms: stratification and variable parameters. These adjustments allow
a one degree variation in temperature, for example, to have a different effect
on a Tuesday at 3.00am [03:00] in March, than it will on a Monday holiday in
September, at 12.00 noon [12:00].
Temperature
Normally, the most significant weather measure is temperature. As with all
the weather variables, the relationship between load and temperature is highly
nonlinear. We accommodate the nonlinearity with a piecewise linearization,
because the response does not follow any common, specific functional form.
Electric load as a function of temperature will on average be at a minimum at
around 18.3 degrees Celsius (65 degrees Fahrenheit), but this will vary by day
of the week, season, and hour of the day, and recent weather history.
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