气ython风雨 发表于 2024-3-7 11:33:31

在WRF中怎么算风能密度


前言
2022 年，全国风能资源为正常略偏小年景。10 米高度年平均风速较近 10 年（2012 ～ 2021 年，下同）平均值偏小 0.82%，较2021 年偏小 0.96%。70 米高度年平均风速约 5.4m/s，年平均风功率密度约 193.1W/m2；100 米高度年平均风速约 5.7m/s，年平均风功率密度约 227.4W/m2。其中，湖北、江西、湖南、重庆较近 10 年平均值偏大，贵州、山西、宁夏、江苏、山东、河北、天津、内蒙古、西藏、河南、云南偏小，其他地区与近 10 年平均值接近。————《2022年中国风能太阳能资源年景公报》

现目前环保概念已日益重要，风电资源的大力发展是趋势。

近日在微信群见有人问风能问题，略感兴趣，尝试一二。

风能密度是单位迎风面积可获得的风的功率，与风速的三次方和空气密度成正比关系。

其公式为


from wrf import uvmet, to_np, getvar, interplevel, smooth2d, get_cartopy, cartopy_xlim, cartopy_ylim, latlon_coords,destagger
import numpy as np
from netCDF4 import Dataset
import metpy.calc as mpcalc
import xarray as xr
from metpy.units import units
import matplotlib.pyplot as plt
from matplotlib.cm import get_cmap
from matplotlib.colors import from_levels_and_colors
import cartopy.crs as ccrs
import cartopy.feature as cfeature
import cartopy.io.shapereader as shpreader
from cartopy.feature import NaturalEarthFeature
from cartopy.mpl.ticker import LongitudeFormatter, LatitudeFormatter
from cartopy.mpl.gridliner import LATITUDE_FORMATTER, LONGITUDE_FORMATTER
import cmaps
from glob import glob
import metpy.calc as mpcalc
import metpy.constants as constants
# 打开wrfout文件
ncfile = Dataset("/home/mw/input/wrfout3385/wrfout_d02_2022-07-14_0800.nc")

# 提取温度和气压
t = getvar(ncfile, "T")
p = getvar(ncfile, "pressure")
qvor = getvar(ncfile,"QVAPOR")
z = getvar(ncfile,"z")
# 计算密度
rho = mpcalc.density(p, t, qvor)

# 提取U和V
u = getvar(ncfile, "U")
v = getvar(ncfile, "V")

# 计算风速和风向
ws = getvar(ncfile, "wspd_wdir", units="m s-1")

# 计算风能密度
we = 0.5 * rho * ws**3

print("风能密度:", we)

Warning: ecCodes 2.21.0 or higher is recommended. You are running version 2.14.1
<b>风能密度</b>: <xarray.DataArray (bottom_top: 49, south_north: 90, west_east: 90)>
<Quantity([[[ 484.84293   529.96545   504.5152   ... 4552.3765   3606.1038
   3129.516   ]
[ 463.362   499.4131    503.2667   ... 4232.495    3103.547
   2655.305   ]
[ 459.04135   529.82355   527.0069   ... 3670.1274   2776.1077
   2290.109   ]
...
[ 514.2071    188.49896    56.96391...739.167   731.23145
    730.46674 ]
[ 720.0671    287.3647   61.945694 ... 1212.0271   1218.5209
   1264.0342]
[1095.568   559.9499    162.13527... 1755.4768   1827.7842
   2036.5676]]

[[ 755.2138    872.288   838.95056... 8328.032    6803.8213
   5975.269   ]
[ 751.6843    870.4069    859.779    ... 7875.6426   5938.154
   5125.1387]
[ 759.6554    908.22144   893.49146... 6947.0215   5293.724
   4410.594   ]
...
[24.392471   24.961102   26.36342...   40.52036    42.305367
   47.723076]
[23.207579   23.494274   24.84367...   41.84898    46.0941
   51.06096 ]
[21.764877   22.430603   24.13408...   43.112915   48.1985
   52.11022 ]]

[[ 457.6555    463.40555   466.3164   ...486.48077   493.40723
    503.26    ]
[ 457.30045   462.20395   462.56293...498.935   505.3736
    513.84357 ]
[ 447.29855   453.62625   457.2152   ...509.33307   513.9056
    522.51184 ]
...
[22.765352   23.764181   24.53554...   41.917824   50.805874
   55.152233]
[22.878866   23.800423   24.347864 ...   40.85533    47.187817
   52.54639 ]
[22.951187   23.529852   24.114712 ...   42.591198   48.30677
   53.363426]]], 'kilogram / meter ** 3')>
Coordinates:
    XLONG      (south_north, west_east) float32 100.9 101.0 ... 111.0 111.1
    XLAT       (south_north, west_east) float32 27.24 27.24 ... 34.43 34.42
    XTIME      float32 480.0
    Time       datetime64 2022-07-14T08:00:00
    wspd_wdir<U4 'wspd'
Dimensions without coordinates: bottom_top, south_north, west_east
常见的风机都蛮高的，因为算风能的都盯着七十米到一百米这块

下面取高度一百米的风能密度并可视

we100 = interplevel(we,z,100)
we100.plot()


看来直接插值插到地形里去了，全是nan

那只好问问神奇海螺如何计算离地高度一百米。

神奇海螺说有两种办法，那我们就都试试

方法一
ph = getvar(ncfile, "PH")
phb = getvar(ncfile, "PHB")
hgt = getvar(ncfile, "HGT")

P=ph+phb
P = destagger(P,0,meta=True)
gmp=P/9.81-hgt

we1 = interplevel(we, gmp ,100)
we1
绘图效果如下



方法二
gmp1 = z - hgt
we2 = interplevel(we, gmp1 ,100)
we2
绘图效果如下


小结
绘图可见两种方法相差非常小，作差之后也是如此。选取喜欢的使用吧。
diff= we1-we2
diff.plot()



完整代码与文件可回复”风能“查看

文章来源于微信公众号：气ython风雨

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