HTML
-
The meteorological background field was obtained from the FNL reanalysis data from the National Centers for Environmental Prediction (NCEP). The time period studied was from January 1 to January 31 (winter) and July 1 to July 31 (summer), 2014. The temporal resolution is 6h, and the spatial resolution is 1°×1°.
The observational data from the Anlu Meteorological Station in Hubei Province were used to test the simulations of the numerical model from the China Integrated Meteorological Information Service System developed by the National Meteorological Information Center. The data include hourly temperature, wind speed, and relative humidity for the abovementioned period of study. There are 744 hourly data samples in January and July, respectively. The hourly observational data and numerical simulation data are converted to daily data (31 samples every month). The correlation significance test and root mean square error of the two sets of data were calculated.
-
The correlation coefficient (R) is a statistical indicator used to reflect the closeness of the correlation between the two sets of variables. Mean bias (MB) can show average deviation between two groups of values. The R value and MB between the observed value of the Anlu Meteorological Station and the simulated value were used to test the WRF model simulations (Sun et al. [29]; Ning [30]).
$$ R = \frac{{\frac{1}{n}\sum_{i = 1}^n {\left( {{x_{si}} - {{\bar x}_s}} \right)} \left( {{x_{oi}} - {{\bar x}_o}} \right)}}{{\sqrt {\frac{1}{n}\sum_{i = 1}^n {{{\left( {{x_{si}} - {{\bar x}_s}} \right)}^2}} } \sqrt {\frac{1}{n}\sum_{i = 1}^n {{{\left( {{x_{oi}} - \overline {{x_o}} } \right)}^2}} } }} $$ (1) $$ {\rm{MB}} = \frac{1}{n}\sum\limits_{i = 1}^n {\left( {{x_s} - {x_o}} \right)} $$ (2) where xs is the simulated value and xo is the observed value.
The t value was used to test the degree of variation in meteorological parameters caused by the effect of wind farms. There are multiple sets of time series values at each simulation grid, corresponding to the control ${\left( {x_1^{{\rm{CT}}}, x_2^{{\rm{CT}}}, \cdots , x_n^{{\rm{CT}}}} \right)}$ and the sensitivity ${\left( {x_1^{{\rm{SCEN}}}, x_2^{{\rm{SCEN}}}, \cdots , x_n^{{\rm{SCEN}}}} \right)}$ experiments. The sequence xd represents the difference between the sensitivity and the reference tests $\left( {x_i^d = x_i^{{\rm{SCEN}}} - x_i^{{\rm{CT}}}, i = 1, 2, \cdots , n} \right)$. The t-value is calculated as:
$$ {t = \frac{{\bar d}}{{{S_D}/\sqrt n }}} $$ (3) $$ {\bar d = \frac{1}{n}\sum\limits_{i = 1}^n {x_i^d} } $$ (4) $$ {{S_D} = \sqrt {\frac{1}{n}\sum_{i = 1}^d {{{\left( {x_i^d - \bar d} \right)}^2}} } } $$ (5) where n is the number of samples. The full sample contains 744 values (hourly data in one month), and 124 values during the day or night (day: 11:00-14:00, night: 22: 00-01: 00 (local time)); d represents the average value of the physical quantity in the time series, and SD represents the standard deviation of the physical quantity on the time series. The t-value on each grid is calculated by using Equation (3) and compared with the value corresponding to t0.1 to determine the grid with a 90% confidence.
2.1. Data
2.2. Test and evaluation methods
-
The present work used the WRF(V3.8) model to study the impact of wind farms on local climate in the mountains. The model adopted three layers of two-way nesting, and the simulation center was located at 31.81° N, 113.90° E. The horizontal resolution of the d01 area was 15km, and the number of grids was 90 × 90. The horizontal resolution of the d02 area was 5km, and the number of grids was 97×97. The horizontal resolution of the d03 area was 1km, and the number of grids was 141× 141 (Fig. 1). The d03 area covered the Suizhou and Dawu wind farms in the northern part of Hubei Province. There were 43 layers in the vertical direction, including 23 layers below 1km and 8 layers within the sweeping range of the WT blades. During the period of study, the WRF model ran every 7 days using the FNL global reanalysis data as the initial and background fields, and each duration was continuously integrated for 7 days. The last day of the previous simulation overlapped with the first day of the next simulation. The first 24 h of each simulation result was used as the model spin-up time, and the simulation results of the next 6 days were retained. The entire month simulation was completed after five cycles.
According to previous studies, the combination of the physical parameterization schemes (Table 1) can better reflect China' s near-surface climate characteristics (Wang et al. [26]; Sun et al. [29]).
Physics option Control Sensitivity Microphysical processes WSM5(Hong et al. [31]) WSM5 Long-wave radiations RRTM(Mlawer et al. [32]) RRTM Short-wave radiations Dudhia(Dudhia [33]) Dudhia Land surface Noah(Chen et al. [34]) Noah Cumulus physics Kain-Fritsch(Kain [35]) Kain-Fritsch Planetary boundary layer physics MYNN(Nakanishi et al. [36]) MYNN Wind turbines / Fitch Table 1. Physics option in control and sensitivity experiments.
Since the original model ignored the system loss and significantly overestimated the turbulence source, the Fitch module was updated in June 2020 and a turbulence correction factor was introduced to advect TKE generated by the WT. In this study, the updated Fitch module was used for numerical simulation, and the turbulence correction factor was set as 0.25 (Archer et al. [36]).
-
Figure 2 shows the variation in the 2m temperature, 2m relative humidity, 10m wind speed of the Anlu Meteorological Station (red line), and control experiments value (black line) for January and July 2014. It was observed that the simulation values were similar to the observed values. In January, the average deviations were -0.34 ℃, -4.45 %, and 0.93 m s-1, and their correlation coefficients were 0.79, 0.81, and 0.78, respectively. In July, the average deviations were - 0.06 ℃, - 2.19 %, and 0.59 m s-1, and their correlation coefficients were 0.82, 0.79, and 0.47, respectively. All the correlation coefficients passed the 99% confidence level, indicating that the WRF model shows good simulation for this area. Therefore, the WRF model can meet the requirements of this study and effectively simulate near-surface meteorological parameters.
-
A sensitivity experiment was set up based on the actual WT installation in the Dabie Mountains. The study area was mountainous, with mountains extending along the northwest-southeast direction. The highest and lowest elevations in the region were 737 m and 37m, respectively, with height difference exceeding 700 m. The WTs were installed on the ridges. The WTs of the Suizhou wind farm (WFsz) were located at a higher altitude (averaging 538 m) than Dawu wind farm did (WFdw, averaging 391 m). The highest WFsz was at 737 m, and the lowest at 218 m. The highest WFdw was at 700 m, whereas the lowest was at 134m. The background wind field in the study area during winter was distributed divergently in the WFsz, with a relatively high wind speed in the ridge area. There was a north-south airflow channel in the WFdw, with a higher wind speed at night than that during the day. In summer, the prevailing wind was in the southeast direction, being higher in the ridge area, which was slightly less than that in winter. The wind speed at night was higher than that during the daytime.
The main type of WT (GW115/2000 kW) installed in this area was input into the WRF model, and the parameters of this WT were: hub height = 85 m, blade diameter = 115 m, and power = 2000 kW. The WT thrust coefficient and power curves are shown in Fig. 3. By the end of 2016, 18 wind farms have been built, with an installed capacity of approximately 870, 000 kW. A total of 507 WTs were studied, which were a part of the Tongbaishan-Dabieshan wind farm group. A total of 278 WTs were installed in the WFsz, and 229 WTs were installed in the WFdw. The distribution of the WTs is shown in Fig. 4.