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Global solar radiation forecasting with non-lineal
statistical techniques and qualitative predictions
     from Spanish National Weather Service



  L. Martín, J. Polo, L.F.Zarzalejo, A. Navarro
  Energy department CIEMAT

  R. Marchante
  Investigaciones y Recursos Solares Avanzados IRSOLAV
  (www.irsolav.com)
EUROSUN2008, October 7-10, Lisbon (Portugal)

            TIME SERIES GLOBAL SOLAR
         RADIATION HALF DAILY PROPERTIES
 Global solar irradiance half daily time series :
Non Stationary
Non Gaussian Data                              Data Preprocessing
Non Linear

 Removing stationarity from time series:
       Using clearness index.
       Using lost component variable.
       Subtracting each value mean value of 2d+1 days.
       Removing from time series anual armonic (first armonic from
        fourier analysis).


                                                     2
EUROSUN2008, October 7-10, Lisbon (Portugal)

                    LOST COMPONENT
                      PREDICTIONS
       6000


       5000


       4000
Wm-2




       3000


       2000


       1000


         0
          0   100    200   300        400       500     600      700
                                 Half Day
                                                   3
                                            Differencing day by day
EUROSUN2008, October 7-10, Lisbon (Portugal)

                                          LOST COMPONENT
                                            PREDICTIONS
                           3000


                           2000
Diff Lost Component Wm-2




                           1000


                               0

                                                                                                            -3
                           -1000                                                               1.5
                                                                                                     x 10




                                                                                                1
                           -2000

                                                                  N u m b e r o f S am p les   0.5

                           -3000
                                0   100    200   300        400                                                   500                        600                      700
                                                       Half Day                                  0
                                                                                               -4 000            -3000   4
                                                                                                                         -20 00   -1 000        0     10 00
                                                                                                                                   D iff L ost C om ponent
                                                                                                                                                              2000   300 0   4 000
LOST COMPONENT PREDICTIONS

              MADRID RRN AEMet
                                                                               0.3
                                                                              0.28
        40
                                                                              0.26
        38                                                                    0.24                                      N N /PE R
        36                                                                    0.22




                                              Im p ro v e m e n t % R M S E
        34                                                                     0.2
%RMSD




        32                                                                    0.18
        30                                                                    0.16
                                                                              0.14
        28
                                                                              0.12
        26
                                                                               0.1
        24                                                                    0.08
        22                                                                    0.06
          1     2       3       4      5      6                                      1   2        3       4         5          6
              Prediction Horizon Half Daily                                                  Pre dic tion Horizon
                                                                                                  5
EUROSUN2008, October 7-10, Lisbon (Portugal)


         AEMet Synoptic Predictions by Site




Total Cloud Cover
    ECMWF
HIRLAM/AEMet
  PROMETEO
 WRF/MM5…. Energy Values
                                           6
EUROSUN2008, October 7-10, Lisbon (Portugal)

                        LOST COMPONENT + QUALITATIVE
                                PREDICTIONS

             MADRID RRN AEMet                                                    0 .7

        40
                                                                           0 .6 8                                            N N (1 0 )/P E R
        35




                                                 Im p ro v e m e n t % R M S D
        30                                                                 0 .6 6

        25
%RMSD




                                                                           0 .6 4
        20

        15
                                                                           0 .6 2
        10
         1     2       3       4       5     6
                                                                                 0 .6
             Prediction Horizon Half Daily                                              1       2         3          4          5               6
                                                                                            H o rizo n P re d7 tio n (H a lf D a ily)
                                                                                                             ic
EUROSUN2008, October 7-10, Lisbon (Portugal)

                      LOST COMPONENT + QUALITATIVE
                              PREDICTIONS

             MADRID RRN AEMet

        40                                            40

        35                                            35

        30                                            30
%RMSD




        25                                            25

        20                                    %RMSD   20

        15                                            15

        10                                            10
         1     2       3       4      5      6         1     2       3       4       5     6
             Prediction Horizon Half Daily                 Prediction Horizon Half Daily
                                                                         8

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Global solar radiation forecasting with non lineal statistical techniques and qualitative predictions from spanish national weather service

  • 1. Global solar radiation forecasting with non-lineal statistical techniques and qualitative predictions from Spanish National Weather Service L. Martín, J. Polo, L.F.Zarzalejo, A. Navarro Energy department CIEMAT R. Marchante Investigaciones y Recursos Solares Avanzados IRSOLAV (www.irsolav.com)
  • 2. EUROSUN2008, October 7-10, Lisbon (Portugal) TIME SERIES GLOBAL SOLAR RADIATION HALF DAILY PROPERTIES  Global solar irradiance half daily time series : Non Stationary Non Gaussian Data Data Preprocessing Non Linear  Removing stationarity from time series:  Using clearness index.  Using lost component variable.  Subtracting each value mean value of 2d+1 days.  Removing from time series anual armonic (first armonic from fourier analysis). 2
  • 3. EUROSUN2008, October 7-10, Lisbon (Portugal) LOST COMPONENT PREDICTIONS 6000 5000 4000 Wm-2 3000 2000 1000 0 0 100 200 300 400 500 600 700 Half Day 3 Differencing day by day
  • 4. EUROSUN2008, October 7-10, Lisbon (Portugal) LOST COMPONENT PREDICTIONS 3000 2000 Diff Lost Component Wm-2 1000 0 -3 -1000 1.5 x 10 1 -2000 N u m b e r o f S am p les 0.5 -3000 0 100 200 300 400 500 600 700 Half Day 0 -4 000 -3000 4 -20 00 -1 000 0 10 00 D iff L ost C om ponent 2000 300 0 4 000
  • 5. LOST COMPONENT PREDICTIONS MADRID RRN AEMet 0.3 0.28 40 0.26 38 0.24 N N /PE R 36 0.22 Im p ro v e m e n t % R M S E 34 0.2 %RMSD 32 0.18 30 0.16 0.14 28 0.12 26 0.1 24 0.08 22 0.06 1 2 3 4 5 6 1 2 3 4 5 6 Prediction Horizon Half Daily Pre dic tion Horizon 5
  • 6. EUROSUN2008, October 7-10, Lisbon (Portugal) AEMet Synoptic Predictions by Site Total Cloud Cover ECMWF HIRLAM/AEMet PROMETEO WRF/MM5…. Energy Values 6
  • 7. EUROSUN2008, October 7-10, Lisbon (Portugal) LOST COMPONENT + QUALITATIVE PREDICTIONS MADRID RRN AEMet 0 .7 40 0 .6 8 N N (1 0 )/P E R 35 Im p ro v e m e n t % R M S D 30 0 .6 6 25 %RMSD 0 .6 4 20 15 0 .6 2 10 1 2 3 4 5 6 0 .6 Prediction Horizon Half Daily 1 2 3 4 5 6 H o rizo n P re d7 tio n (H a lf D a ily) ic
  • 8. EUROSUN2008, October 7-10, Lisbon (Portugal) LOST COMPONENT + QUALITATIVE PREDICTIONS MADRID RRN AEMet 40 40 35 35 30 30 %RMSD 25 25 20 %RMSD 20 15 15 10 10 1 2 3 4 5 6 1 2 3 4 5 6 Prediction Horizon Half Daily Prediction Horizon Half Daily 8

Notes de l'éditeur

  1. Buenas días, mi nombre es Luis Martín y voy a presentar el trabajo realizado hasta la fecha en el ámbito de la predicción de la radiación solar diaria.
  2. The result is a time series nonstationary with a probability density function similar to a delta function. This signal is the random part of solar irradiance and is isolated from the deterministic part of solar irradiance