Weather Normalization of MISO Historical Data Procedure

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1 Weather Normalization of MISO Historical Data Procedure Goal The goal of this weather normalization work was to provide a preliminary methodology for weather normalization as MISO does not currently have an established method to weather normalize historical MISO and Local Resource Zone (LRZ) demand and energy metered data. This weather normalized historical data will help provide a better comparison of historical data to forecast data since the historical data is adjusted for the impacts of weather. This is currently helpful for the load forecast comparison work of understanding the differences between the Independent Load Forecast and the Aggregated Load Serving Entities (LSE) Forecast. Weather Data One weather station per LRZ was used. 1 For consistency, these are the same weather stations used by the Independent Load Forecast. Weather stations used are listed in the table below. The weather data was from the Midwest Regional Climate Center. Clean hourly load temperature data was available for The hourly values were averaged to provide a daily average temperature. The daily average temperatures were used in the weather normalization models. For MISO models, the weather data was weighted by load and then summed to provide a MISO weather data set. LRZ Weather Station City 1 MINPLIS-ST PAUL INTL ARPT Minneapolis-St.Paul, MN 2 GENERAL MITCHELL INTL ARPT Milwaukee, WI 3 DES MOINES INTL AIRPORT Des Moines, IA 4 ABRAHAM LINCOLN CAPITOL AIRPORT Springfield, Ill 5 LAMBERT-ST LOUIS INTL ARPT St. Louis, MO 6 INDIANAPOLIS INTL AIRPORT Indianapolis, IN 7 CAPITAL CITY AIRPORT Lansing, MI 8 ADAMS FIELD AIRPORT Little Rock, AR 9 LAKE CHARLES REGIONAL AIRPORT LA US Lake Charles, LA Demand Linear econometric models were created for each season (summer and winter) for each LRZ and MISO. The daily average temperature on the peak date and the daily average temperature of 3 days before the peak date were used as potential variables in the models. Peaks of all seasonal peak months (June, July and August in summer; December, January and February in winter) from were included in the models. 2 Model specifications are included below. 1 The scope of this weather normalization work is LRZs 1-9 since that was the scope of the Independent Load Forecast. LRZ 10 would be added for future load forecast comparison and weather normalization work. 2 Only the summer non-coincident peak data was used for LRZ 9 since there was no linear model fit for data that included all summer months.

2 Normal weather for seasonal peak demand was determined by averaging the temperature values for the non-coincident peak date from Energy Linear econometric models were created for each LRZ and MISO. Heating degree days (HDD) and cooling degree days (CDD) were the independent variables in the models. HDD and CDD were calculated from the daily average temperatures with a base value of 65 degrees Fahrenheit. Monthly data from was used. The National Activity Index was an additional independent variable in order to include an economic trends variable in the models. However, it was not included in the final models as it was not significant in any models. Normal weather was determined from the NOAA 30 year normal HDD and CDD values. Weather Normalization Once the models were created, both actual weather values and normal weather values were run through the models and the historical data was normalized with the following equation: Normalized value = Actual value (Actual weather model prediction Normal weather model prediction) Future Improvements This is a preliminary weather normalization methodology that should continue to be built upon as more quality data is available. The data set was very limited by the fact that quality historical load data only went back to The robustness of these models could be greatly improved by access to a longer timescale of historical data.

3 Current Models LRZ 1 Energy Dependent Variable: LRZ_1 Date: 07/30/15 Time: 08:17 Sample: 1 60 Included observations: 60 C CDD HDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 3.89E+12 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

4 Summer Dependent Variable: LRZ_1 Date: 08/21/15 Time: 15:01 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

5 Winter Dependent Variable: LOAD_1 Date: 08/21/15 Time: 15:05 Sample: 2010M M02 Included observations: 12 C _1_BEFORE R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

6 LRZ 2 Energy Dependent Variable: LRZ_2 Date: 07/30/15 Time: 11:07 Sample: 2010M M12 Included observations: 60 C CDD HDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 1.74E+12 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

7 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:17 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

8 Winter Dependent Variable: LOAD_2 Date: 09/10/15 Time: 14:19 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

9 LRZ 3 Energy Dependent Variable: LRZ_3 Date: 07/30/15 Time: 11:11 Sample: 1 60 Included observations: 60 C CDD HDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 9.57E+11 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

10 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:22 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

11 Winter Dependent Variable: LOAD_3 Date: 08/21/15 Time: 15:22 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

12 LRZ 4 Energy Dependent Variable: LRZ_4 Date: 07/30/15 Time: 11:13 Sample: 1 60 Included observations: 60 C CDD HDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 1.12E+12 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

13 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:26 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

14 Winter Dependent Variable: LOAD_4 Date: 08/21/15 Time: 15:27 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

15 LRZ 5 Energy Dependent Variable: LRZ_5 Date: 07/30/15 Time: 11:21 Sample: 1 60 Included observations: 60 C CDD HDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 5.27E+11 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

16 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:30 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

17 Winter Dependent Variable: LOAD_5 Date: 08/21/15 Time: 15:31 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

18 LRZ 6 Energy Dependent Variable: LRZ_6 Date: 07/30/15 Time: 11:23 Sample: 1 60 Included observations: 60 C HDD CDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 3.90E+12 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

19 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:33 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

20 Winter Dependent Variable: LOAD_6 Date: 08/21/15 Time: 15:34 Sample: 2010M M02 Included observations: 12 C W_PEAK _1_BEFORE R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

21 LRZ 7 Energy Dependent Variable: LRZ_7 Date: 07/30/15 Time: 11:27 Sample: 1 60 Included observations: 60 C HDD CDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 5.00E+12 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

22 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:37 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

23 Winter Dependent Variable: LOAD_7 Date: 09/10/15 Time: 14:44 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

24 LRZ 8 Energy Dependent Variable: LRZ_8 Date: 07/30/15 Time: 11:33 Sample: 1 60 Included observations: 60 C HDD CDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 6.81E+11 Schwarz criterion Prob(F-statistic)

25 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 15:43 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

26 Winter Dependent Variable: LOAD_8 Date: 08/21/15 Time: 15:44 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

27 LRZ 9 Energy Dependent Variable: LRZ_9 Date: 07/30/15 Time: 11:38 Sample: 1 60 Included observations: 60 C HDD CDD R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 1.11E+13 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

28 Summer Dependent Variable: LRZ_9 Date: 08/21/15 Time: 15:47 Sample: 1 5 Included observations: 5 C _1_BEFORE _1_AFTER R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

29 Winter Dependent Variable: LOAD_9 Date: 08/21/15 Time: 15:48 Sample: 2010M M02 Included observations: 12 C W_PEAK _1_BEFORE R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

30 MISO Energy Dependent Variable: MISO Date: 08/21/15 Time: 15:57 Sample: 2010M M12 Included observations: 60 C CDD_MISO HDD_MISO R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid 1.56E+14 Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

31 Summer Dependent Variable: LOAD Date: 08/21/15 Time: 16:00 Sample: 2010M M08 Included observations: 15 C S_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

32 Winter Dependent Variable: LOAD_M Date: 09/10/15 Time: 14:57 Sample: 2010M M02 Included observations: 12 C W_PEAK R-squared Mean dependent var Adjusted R-squared S.D. dependent var S.E. of regression Akaike info criterion Sum squared resid Schwarz criterion Log likelihood Hannan-Quinn criter F-statistic Durbin-Watson stat Prob(F-statistic)

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