
Figure 1
The five locations where the TMY’s were generated.
Table 1
Weighting factors scheme used for calculating TMY and TMY3.
| SCHEME | Tmax | Tmin | RHmax | RHmin | Wmax | GHI | DNI | |||
|---|---|---|---|---|---|---|---|---|---|---|
| TMY | 1/24 | 1/24 | 2/24 | 1/24 | 1/24 | 2/24 | 2/24 | 2/24 | 12/24 | – |
| TMY3 | 1/20 | 1/20 | 2/20 | 1/20 | 1/20 | 2/20 | 1/20 | 1/20 | 5/20 | 5/20 |
Table 2
Benchmark of the Brazil-SR model.
| REGION | R | RELATIVE BIAS | RRMSE1 |
|---|---|---|---|
| North | 0.81 | 0.60% | 9.7% |
| Northeast | 0.87 | 0.20% | 8.3% |
| Central-West | 0.86 | 0.50% | 8.3% |
| Southeast | 0.91 | 0.10% | 8.4% |
Table 3
The generated TMYs for different data sources, with the final FS statistic values for the TMY CDF compared to the long-term average CDF.
| MONTH | YEAR | |||
|---|---|---|---|---|
| TMYOBS | TMYMOD | TMY3MOD | TMY3REA | |
| January | 2009 | 2009 | 2009 | 2009 |
| February | 2011 | 2012 | 2011 | 2012 |
| March | 2013 | 2013 | 2013 | 2009 |
| April | 2008 | 2007 | 2007 | 2017 |
| May | 2017 | 2014 | 2014 | 2006 |
| June | 2011 | 2015 | 2015 | 2017 |
| July | 2013 | 2012 | 2012 | 2007 |
| August | 2015 | 2013 | 2013 | 2013 |
| September | 2014 | 2014 | 2012 | 2012 |
| October | 2016 | 2016 | 2016 | 2016 |
| November | 2014 | 2017 | 2017 | 2016 |
| December | 2017 | 2010 | 2010 | 2006 |
| FS | 0.0065 | 0.0073 | 0.0094 | 0.0066 |

Figure 2
Comparison of the long-term average CDF and TMY CDFs for observed and modelled GHI.
Table 4
The generated TMYs for different data sources, with the final FS statistic values for the TMY CDF compared to the long-term average CDF.
| MONTH | YEAR | |||
|---|---|---|---|---|
| TMYOBS | TMYMOD | TMY3MOD | TMY3REA | |
| January | 2013 | 2009 | 2011 | 2016 |
| February | 2010 | 2008 | 2008 | 2016 |
| March | 2010 | 2017 | 2014 | 2009 |
| April | 2011 | 2010 | 2010 | 2017 |
| May | 2010 | 2013 | 2012 | 2013 |
| June | 2017 | 2015 | 2015 | 2015 |
| July | 2011 | 2011 | 2011 | 2005 |
| August | 2011 | 2013 | 2013 | 2013 |
| September | 2013 | 2013 | 2013 | 2013 |
| October | 2008 | 2011 | 2016 | 2011 |
| November | 2012 | 2012 | 2012 | 2017 |
| December | 2006 | 2005 | 2012 | 2012 |
| FS | 0.0134 | 0.0074 | 0.0062 | 0.0090 |

Figure 3
Comparison of the long-term average CDF and TMY CDFs for observed and modelled GHI.
Table 5
The generated TMYs for different data sources, with the final FS statistic values for the TMY CDF compared to the long-term average CDF.
| MONTH | YEAR | |||
|---|---|---|---|---|
| TMYOBS | TMYMOD | TMY3MOD | TMY3REA | |
| January | 2007 | 2006 | 2006 | 2006 |
| February | 2013 | 2013 | 2013 | 2016 |
| March | 2014 | 2014 | 2014 | 2014 |
| April | 2011 | 2014 | 2014 | 2014 |
| May | 2015 | 2011 | 2011 | 2013 |
| June | 2010 | 2010 | 2010 | 2017 |
| July | 2016 | 2013 | 2013 | 2010 |
| August | 2008 | 2014 | 2014 | 2006 |
| September | 2012 | 2012 | 2015 | 2013 |
| October | 2016 | 2016 | 2016 | 2017 |
| November | 2013 | 2011 | 2005 | 2013 |
| December | 2016 | 2016 | 2016 | 2006 |
| FS | 0.0106 | 0.0049 | 0.0057 | 0.0047 |

Figure 4
Comparison of the long-term average CDF and TMY CDFs for observed and modelled GHI.
Table 6
The generated TMYs for different data sources, with the final FS statistic values for the TMY CDF compared to the long-term average CDF.
| MONTH | YEAR | |||
|---|---|---|---|---|
| TMYOBS | TMYMOD | TMY3MOD | TMY3REA | |
| January | 2010 | 2007 | 2007 | 2017 |
| February | 2009 | 2012 | 2012 | 2012 |
| March | 2011 | 2011 | 2011 | 2015 |
| April | 2011 | 2011 | 2007 | 2013 |
| May | 2012 | 2007 | 2007 | 2011 |
| June | 2017 | 2015 | 2015 | 2013 |
| July | 2011 | 2011 | 2011 | 2011 |
| August | 2005 | 2011 | 2013 | 2016 |
| September | 2008 | 2008 | 2008 | 2012 |
| October | 2014 | 2016 | 2016 | 2014 |
| November | 2013 | 2006 | 2006 | 2006 |
| December | 2014 | 2010 | 2014 | 2014 |
| FS | 0.0076 | 0.0094 | 0.0092 | 0.0107 |

Figure 5
Comparison of the long-term average CDF and TMY CDFs for observed and modelled GHI.
Table 7
The generated TMYs for different data sources for Caicó, with the final FS statistic values for the TMY CDF compared to the long-term average CDF.
| MONTH | YEAR | |||
|---|---|---|---|---|
| TMYOBS | TMYMOD | TMY3MOD | TMY3REA | |
| January | 2009 | 2008 | 2009 | 2009 |
| February | 2017 | 2008 | 2017 | 2012 |
| March | 2007 | 2015 | 2015 | 2014 |
| April | 2007 | 2007 | 2007 | 2007 |
| May | 2007 | 2013 | 2013 | 2017 |
| June | 2010 | 2010 | 2010 | 2010 |
| July | 2010 | 2014 | 2010 | 2010 |
| August | 2010 | 2010 | 2010 | 2014 |
| September | 2013 | 2010 | 2010 | 2015 |
| October | 2013 | 2014 | 2014 | 2014 |
| November | 2008 | 2008 | 2012 | 2016 |
| December | 2011 | 2007 | 2007 | 2012 |
| FS | 0.0085 | 0.0060 | 0.0069 | 0.0107 |

Figure 6
Comparison of the long-term average CDF and TMY CDFs for observed and modelled GHI.
Table 8
Number of TMMs in agreement between TMYobs and TMYmod/TMY3mod/TMY3rea for each station.
| STATION | TMMs IN AGREEMENT | FS (75% QUARTILE) |
|---|---|---|
| Brasilia (A001) | 5 | 0.0078 |
| Pres. Prudente (A707) | 3 | 0.0101 |
| Sta Maria (A803) | 7 | 0.0069 |
| Palmas (A009) | 6 | 0.0097 |
| Caicó (A316) | 7 | 0.0091 |
Table 9
Weighting schemes used for calculating the TMY (in parts out of 24).
| SCHEME | T:RH:W:GHI | TMAX | TMIN | T | RHMAX | RHMIN | RH | WMAX | W | GHI |
|---|---|---|---|---|---|---|---|---|---|---|
| A | 4:4:4:12 | 1 | 1 | 2 | 1 | 1 | 2 | 2 | 2 | 12 |
| B | 2:2:2:18 | 1/2 | 1/2 | 1 | 1/2 | 1/2 | 1 | 1 | 1 | 18 |
| C | 0:0:0:24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 24 |
| D | 6:6:6:6 | 3/2 | 3/2 | 3 | 3/2 | 3/2 | 3 | 3 | 3 | 6 |
| E | 0:8:8:8 | 0 | 0 | 0 | 2 | 2 | 4 | 4 | 4 | 8 |
| F | 8:0:8:8 | 2 | 2 | 4 | 0 | 0 | 0 | 4 | 4 | 8 |
| G | 8:8:0:8 | 2 | 2 | 4 | 2 | 2 | 4 | 0 | 0 | 8 |
| H | 8:8:8:0 | 2 | 2 | 4 | 2 | 2 | 4 | 4 | 4 | 0 |
Table 10
TMMs for Different Weighting Schemes, with TMMs different from the mode in italics.
| MONTH | TMY FOR DIFFERENT WEIGHTING SCHEMES | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| A | B | C | D | E | F | G | H | TMM (MODE) | |
| January | 2009 | 2009 | 2017 | 2009 | 2008 | 2009 | 2009 | 2009 | 2009 |
| February | 2011 | 2011 | 2009 | 2011 | 2009 | 2009 | 2011 | 2011 | 2011 |
| March | 2013 | 2013 | 2013 | 2013 | 2013 | 2012 | 2013 | 2013 | 2013 |
| April | 2008 | 2008 | 2014 | 2008 | 2012 | 2014 | 2008 | 2008 | 2008 |
| May | 2017 | 2017 | 2017 | 2017 | 2017 | 2017 | 2017 | 2017 | 2017 |
| June | 2011 | 2011 | 2015 | 2011 | 2011 | 2011 | 2011 | 2011 | 2011 |
| July | 2013 | 2013 | 2013 | 2013 | 2013 | 2013 | 2013 | 2013 | 2013 |
| August | 2015 | 2015 | 2015 | 2015 | 2015 | 2015 | 2015 | 2015 | 2015 |
| September | 2014 | 2014 | 2014 | 2014 | 2014 | 2014 | 2012 | 2012 | 2014 |
| October | 2016 | 2016 | 2016 | 2016 | 2013 | 2016 | 2016 | 2016 | 2016 |
| November | 2014 | 2014 | 2014 | 2017 | 2008 | 2017 | 2014 | 2017 | 2014 |
| December | 2017 | 2017 | 2006 | 2017 | 2017 | 2017 | 2017 | 2017 | 2017 |
| Number different from mode | 0 | 0 | 5 | 1 | 5 | 4 | 1 | 2 | – |
Table 11
The months with the 3 lowest weighted sums of the FS statistic (×10–3), using weighting scheme C.
| YEAR | JAN | FEB | MAR | APR | MAY | JUN | JUL | AUG | SEP | OCT | NOV | DEC |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2005 | – | – | – | – | – | – | – | – | – | – | – | – |
| 2006 | – | – | – | – | – | – | – | – | – | – | 3.91 | 4.23 |
| 2007 | – | – | – | 3.57 | – | – | 4.62 | – | – | – | – | – |
| 2008 | – | – | – | 3.89 | – | – | – | 2.77 | – | – | – | – |
| 2009 | 4.52 | 4.04 | 4.08 | – | – | – | – | – | – | – | 3.54 | – |
| 2010 | 5.30 | – | – | – | 3.83 | – | – | – | – | 5.24 | – | 5.32 |
| 2011 | – | 4.27 | – | – | – | 2.91 | 3.82 | – | – | – | – | – |
| 2012 | – | – | 4.31 | – | – | 3.09 | – | 2.68 | 4.14 | – | – | – |
| 2013 | – | – | 4.04 | – | – | – | 2.58 | – | – | 5.62 | – | – |
| 2014 | – | – | – | 3.52 | 4.31 | – | – | – | 2.64 | – | 3.23 | – |
| 2015 | – | 4.09 | – | – | – | 2.41 | – | 2.18 | – | – | – | – |
| 2016 | – | – | – | – | – | – | – | – | 5.47 | 3.18 | – | – |
| 2017 | 3.91 | – | – | – | 3.60 | – | – | – | – | – | – | 4.24 |

Figure 7
Comparison of the TMY CDFs for Global Horizontal Radiation for different weighting schemes at the A001 station.
