This study further classified all samples into evenly spaced wind speed intervals and resorted them based on different wind speed levels (as shown in Table 1). From the results in Table 1, it can be observed that when the wind speed of the samples is below 10 m/s, the disaster loss rate is only 1.8%. As the typhoon wind speed reaches 15 m/s and 20 m/s, the loss rates for the samples increase to 2.2% and 2.7%, respectively. However, when the wind speed exceeds 20 m/s, the loss rate rises significantly to 5.5%.
This study employed binomial statistical methods to perform regression analysis on wind speed and loss rates, obtaining the relationship curve between the maximum wind speed and the loss rate for solar photovoltaic installations, as shown in Formula (1):
Y = 0.0013x2+0.1628x (1)
where Y represents the loss rate (%) of solar photovoltaic equipment during typhoon events, and x represents the maximum wind speed (m/s). The regression model has a coefficient of determination (R2) of 0.89, indicating a good explanatory power.
Table 1 Loss Rate of Statistical Samples at Different Wind Speeds
Wind speed
(m/s)
|
Total Sample
(N=645)
|
Loss Sample
(N=19)
|
Loss Rate
(%)
|
0.0-5.0
|
0
|
0
|
0.0
|
5.0-10.0
|
56
|
1
|
1.8
|
10.0-15.0
|
231
|
5
|
2.2
|
15.0-20.0
|
226
|
6
|
2.7
|
20.0-25.0
|
91
|
5
|
5.5
|
>25
|
41
|
2
|
4.9
|
From Fig. 7, it can be observed that the surveyed samples are roughly normally distributed, and the loss rate is clearly proportional to the wind speed. Under low wind speed conditions, the number of affected samples is relatively small, while the loss rate is also low. In contrast, with wind speeds exceeding 20m/s, the number of surveyed samples decreases, but the loss rate increases significantly. In the future, with the impact of climate change, Taiwan may face more severe typhoon events, the resulting losses may be even greater than current observation. Therefore, based on the classification of the Beaufort scale and using the regression formula (1), this study can produce a general estimate on the disaster risks of solar equipment under different wind speed thresholds, offering a scientific basis for emergency responses and protective applications, as shown in Table 2.
Table 2 Estimated Loss Rate of Photovoltaic Equipment Classified by Beaufort Scale Levels
Beaufort Scale
|
Wind Speed (m/s)
|
Loss Rate (%)
|
0
|
---
|
0.0 ~0.2
|
0.0 ~0.0
|
1
|
0.3 ~1.5
|
0.0 ~0.2
|
2
|
1.6 ~3.3
|
0.3 ~0.6
|
3
|
3.4 ~5.4
|
0.6 ~0.9
|
4
|
5.5 ~7.9
|
0.9 ~1.4
|
5
|
8.0 ~10.7
|
1.4 ~1.9
|
6
|
10.8 ~13.8
|
1.9 ~2.5
|
7
|
13.9 ~17.1
|
2.5 ~3.2
|
8
|
Mild
Typhoon
|
17.2 ~20.7
|
3.2 ~3.9
|
9
|
20.8 ~24.4
|
3.9 ~4.7
|
10
|
24.5 ~28.4
|
4.8 ~5.7
|
11
|
28.5 ~32.6
|
5.7 ~6.7
|
12
|
Moderate
Typhoon
|
32.7 ~36.9
|
6.7 ~7.8
|
13
|
37.0 ~41.4
|
7.8 ~9.0
|
14
|
41.0 ~46.1
|
8.9 ~10.3
|
15
|
46.2 ~50.9
|
10.3 ~11.7
|
16
|
Strong
Typhoon
|
51.0 ~56.0
|
11.7 ~13.2
|
17
|
56.1 ~61.2
|
13.2 ~14.8
|
Based on the estimates from Table 2, when the typhoon wind speed reaches the category of Mild Typhoon, the disaster rate for solar photovoltaic equipment ranges from 3.2% to 6.7%. When the wind speed reaches the category of Moderate Typhoon, the disaster rate is between 6.7% and 11.7%. When the wind speed exceeds the threshold of Strong Typhoon, according to the formula for estimation,, the loss rate for solar photovoltaic equipment can reach up to 14.8%. If the wind speed exceeds level 17, it will cause even more severe damage to solar photovoltaic equipment.
With the lack of record data due to the fewer direct impact of typhoons in Taiwan, it has been challenging to understand the actual impact of typhoon events on solar photovoltaic equipment. Therefore, this study uses different typhoon categories as examples to estimate the potential losses and associated economic costs of installation when typhoons directly affect the main solar equipment sites.
Based on the Energy Statistical Monthly Report from Bureau of Energy (2022), the total installed capacity of solar photovoltaic systems in Taiwan reached 9,724 MW by the end of 2022. According to the loss rates calculated from the minimum wind speed thresholds for each typhoon category in Table 2, the loss of installed capacity caused by a Mild Typhoon would be 310 MW, a Moderate Typhoon would cause a loss of 653 MW, and a Strong Typhoon would cause a loss of 1,110 MW. The detailed calculation results are shown in Table 3. It is essential to emphasize that the total capacity loss caused by a Strong Typhoon would be equivalent to half of the newly established solar panels in 2022, indicating a severe impact on the industry.
In addition, by using a construction cost of 1.13 million USD/MW (Hsiao et al. 2016) to estimate the potential losses, the result ranges from 351 million USD to 1,258 million USD for a single typhoon event. If considering the time and cost required for the recovery of solar photovoltaic equipment, the actual impact could be even more severe.
Table 3 Losses of Photovoltaic (PV) Equipment Caused by Different Levels of Typhoon Events
Typhoon Level
|
Beaufort
Scale
|
Wind Speed Threshold
(m/s)
|
Loss Ratio
(%)
|
Installed Capacity Loss (MW)
|
Loss (million USD)
|
Mild
|
8~11
|
17.2
|
3.2
|
310
|
351
|
Moderate
|
12~15
|
32.7
|
6.7
|
653
|
740
|
Strong
|
>16
|
50.1
|
11.4
|
1110
|
1258
|