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PV Smoothing Diagrams

List of Diagrams

Diagrams express the smoothing effect and accumulated energy depending on the smoothing method, prediction accuracy, and filter order (OLAP dimensions). Two days have been selected from the measured data (a day with medium vs. a day with high insolation, both of them with strong solar intermittency). Following time series are displayed:

  • Measured GI(t), synchronized with predicted GIf (1 hour zoomed) - Figures 4, 8
  • Measured GI(t) and its smooth counterpart by the prediction accuracy, comparing all smoothing methods, having optimal LPF order applied - Figures 5, 6, 9, 10
  • Accumulated GX(t) by the prediction accuracy, comparing all smoothing methods, having optimal LPF order applied - Figures 7, 11
  • Smooth GI(t) by the filter order and prediction accuracy, comparing IPLPF and SPLPF smoothing methods - Figures 12-14, 18-20
  • Accumulated GX(t) by the filter order and prediction accuracy, comparing IPLPF and SPLPF smoothing methods - Figures 15-17, 21-23

Analysis by prediction error

A day with medium insolation

GI~f~_220304

Figure 4: Measured GI synchronized with GIf (predicted 30 minutes ago) between 11:00 and 12:00. (Lo Err: better prediction accuracy, Hi Err: worse prediction accuracy)

GIs_LoErr_220304

Figure 5: Measured and smoothed GI by 4 different methods; better prediction accuracy

GIs_HiErr_220304

Figure 6: Measured and smoothed GI by 4 smoothing methods; worse prediction accuracy

GX_220304

Figure 7: Time course of GX accumulated by 4 smoothing methods. (Lo Err: better prediction accuracy, Hi Err: worse prediction accuracy)

A day with high insolation

GIf_220404

Figure 8: Measured GI synchronized with GIf (predicted 30 minutes ago) between 11:00 and 12:00. (Lo Err: better prediction accuracy, Hi Err: worse prediction accuracy)

GIs_LoErr_220404

Figure 9: Measured and smoothed GI by 4 smoothing methods; better prediction accuracy

GIs_HiErr_220404

Figure 10: Measured and smoothed GI by 4 smoothing methods; worse prediction accuracy

GX_220404

Figure 11: Time course of GX accumulated by 4 smoothing methods. (Lo Err: better prediction accuracy, Hi Err: worse prediction accuracy)

Analysis by LPF order

Following graphs compare the smoothing by IPLPF vs SPLPF method:

A day with medium insolation

GIs_aavg0_220304

Figure 12: Time course of IPLPF-smoothed GI exhibits similar ramping for each filter order

GIs_LoErr_220304

Figure 13: Time course of SPLPF-smoothed GI by filter order; better prediction accuracy

GIs_HiErr_220304

Figure 14: Time course of SPLPF-smoothed GI by filter order; worse prediction accuracy

GX_aavg0_220304

Figure 15: Time course of IPLPF-accumulated GX by filter order

GX_LoErr_220304

Figure 16: Time course of SPLPF-accumulated GX by filter order; better prediction accuracy

GX_HiErr_220304

Figure 17: Time course of SPLPF-accumulated GX by filter order; worse prediction accuracy

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A day with high insolation

GIs_aavg0_220404

Figure 18: Time course of IPLPF-smoothed GI shows its similar ramping for each filter order

GIs_LoErr_220404

Figure 19: Time course of SPLPF-smoothed GI by filter order; better prediction accuracy

GIs_HiErr_220404

Figure 20: Time course of SPLPF-smoothed GI by filter order; worse prediction accuracy

GX_aavg0_220404

Figure 21 Time course of IPLPF-accumulated GX by filter order

GX_LoErr_220404

Figure 22: Time course of SPLPF-accumulated GX by filter order; better prediction accuracy

GX_HiErr_220404

Figure 23: Time course of SPLPF-accumulated GX by filter order; worse prediction accuracy