加了一些TODO
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72
core.py
72
core.py
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@ -1,6 +1,7 @@
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import math
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import ezdxf
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import numpy as np
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from typing import List
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gCAD = None
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gMSP = None
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@ -15,8 +16,8 @@ class Parameter:
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insulator_c_len: float # 串子绝缘长度
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string_c_len: float
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string_g_len: float
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gc_x: [float] # 导、地线水平坐标
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ground_angels: [float] # 地面倾角,向下为正
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gc_x: List[float] # 导、地线水平坐标
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ground_angels: List[float] # 地面倾角,向下为正
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h_arm: float # 导、地线垂直坐标
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altitude: int # 海拔,单位米
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max_i: float # 最大尝试电流,单位kA
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@ -131,14 +132,14 @@ def solve_circle_intersection(
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x = radius2 + center_x2 # 初始值
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y = radius2 + center_y2 # 初始值
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# TODO 考虑出现2个解的情况
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for bar in range(0, 10):
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for _ in range(0, 10):
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A = [
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[-2 * (x - center_x1), -2 * (y - center_y1)],
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[-2 * (x - center_x2), -2 * (y - center_y2)],
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]
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b = [
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(x - center_x1) ** 2 + (y - center_y1) ** 2 - radius1 ** 2,
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(x - center_x2) ** 2 + (y - center_y2) ** 2 - radius2 ** 2,
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(x - center_x1) ** 2 + (y - center_y1) ** 2 - radius1**2,
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(x - center_x2) ** 2 + (y - center_y2) ** 2 - radius2**2,
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]
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X_set = np.linalg.solve(A, b)
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x += X_set[0]
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@ -166,22 +167,22 @@ def solve_circle_line_intersection(
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b = center_y
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c = y0
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d = x0
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bb = -2 * a + 2 * c * k - 2 * d * (k ** 2) - 2 * b * k
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aa = 1 + k ** 2
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bb = -2 * a + 2 * c * k - 2 * d * (k**2) - 2 * b * k
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aa = 1 + k**2
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rr = radius
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cc = (
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a ** 2
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+ c ** 2
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a**2
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+ c**2
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- 2 * c * k * d
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+ (k ** 2) * (d ** 2)
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+ (k**2) * (d**2)
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- 2 * b * (c - k * d)
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+ b ** 2
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- rr ** 2
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+ b**2
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- rr**2
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)
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_x = (-bb + (bb ** 2 - 4 * aa * cc) ** 0.5) / 2 / aa
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_x = (-bb + (bb**2 - 4 * aa * cc) ** 0.5) / 2 / aa
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_y = ground_surface_func(_x)
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# 验算结果
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equ = (center_x - _x) ** 2 + (center_y - _y) ** 2 - radius ** 2
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equ = (center_x - _x) ** 2 + (center_y - _y) ** 2 - radius**2
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assert abs(equ) < 1e-5
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return [_x, _y]
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@ -189,12 +190,20 @@ def solve_circle_line_intersection(
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def min_i(string_len, u_ph):
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# 海拔修正
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altitude = para.altitude
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k_a = math.exp((altitude - 1000) / 8150) # 气隙海拔修正
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if altitude > 1000:
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k_a = math.exp((altitude - 1000) / 8150) # 气隙海拔修正
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else:
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k_a = 1
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u_50 = 1 / k_a * (530 * string_len + 35) # 50045 上附录的公式,实际应该用负极性电压的公式
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# u_50 = 1 / k_a * (533 * string_len + 132) # 串放电路径 1000m海拔
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# u_50 = 1 / k_a * (477 * string_len + 99) # 串放电路径 2000m海拔
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# u_50 = 615 * string_len # 导线对塔身放电 1000m海拔
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# u_50= 263.32647401+533.90081562*string_len
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z_0 = 300 # 雷电波阻抗
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z_c = 251 # 导线波阻抗
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# 新版大手册公式 3-277
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r = (u_50 + 2 * z_0 / (2 * z_0 + z_c) * u_ph) * (2 * z_0 + z_c) / (z_0 * z_c)
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# r = 2 * (u_50 - u_ph) / z_c
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return r
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@ -207,12 +216,15 @@ def thunder_density(i, td, ip_a, ip_b): # 雷电流幅值密度函数
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r = -(
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-ip_b / ip_a / ((1 + (i / ip_a) ** ip_b) ** 2) * ((i / ip_a) ** (ip_b - 1))
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)
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return r
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else:
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if td == 20:
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r = -(10 ** (-i / 44)) * math.log(10) * (-1 / 44) # 雷暴日20d
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return r
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if td == 40:
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r = -(10 ** (-i / 88)) * math.log(10) * (-1 / 88) # 雷暴日40d
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return r
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return r
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raise Exception("检查雷电参数!")
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def angel_density(angle): # 入射角密度函数 angle单位是弧度
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@ -221,12 +233,12 @@ def angel_density(angle): # 入射角密度函数 angle单位是弧度
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def rs_fun(i):
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r = 10 * (i ** 0.65) # 新版大手册公式3-271
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r = 10 * (i**0.65) # 新版大手册公式3-271
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return r
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def rc_fun(i, u_ph):
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r = 1.63 * ((5.015 * (i ** 0.578) - 0.001 * u_ph) ** 1.125) # 新版大手册公式3-272
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r = 1.63 * ((5.015 * (i**0.578) - 0.001 * u_ph * 1) ** 1.125) # 新版大手册公式3-272
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return r
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@ -235,9 +247,9 @@ def rg_fun(i_curt, h_cav, u_ph, typ="g"):
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rg = None
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if typ == "g":
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if h_cav < 40:
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rg = (3.6 + 1.7 ** math.log(43 - h_cav)) * (i_curt ** 0.65) # 新版大手册公式3-273
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rg = (3.6 + 1.7 * math.log(43 - h_cav)) * (i_curt**0.65) # 新版大手册公式3-273
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else:
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rg = 5.5 * (i_curt ** 0.65) # 新版大手册公式3-273
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rg = 5.5 * (i_curt**0.65) # 新版大手册公式3-273
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elif typ == "c": # 此时返回的是圆半径
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rg = rc_fun(i_curt, u_ph)
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return rg
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@ -294,7 +306,7 @@ def intersection_angle(
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# 点到直线的距离
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def distance_point_line(point_x, point_y, line_x, line_y, k) -> float:
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d = abs(k * point_x - point_y - k * line_x + line_y) / ((k ** 2 + 1) ** 0.5)
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d = abs(k * point_x - point_y - k * line_x + line_y) / ((k**2 + 1) ** 0.5)
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return d
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@ -404,14 +416,14 @@ def tangent_line_k(line_x, line_y, center_x, center_y, radius, init_k=10.0):
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max_iteration = 30
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for bar in range(0, max_iteration):
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fk = (k * center_x - center_y - k * line_x + line_y) ** 2 - (
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radius ** 2
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) * (k ** 2 + 1)
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radius**2
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) * (k**2 + 1)
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d_fk = (
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2
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* (k * center_x - center_y - k * line_x + line_y)
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* (center_x - line_x)
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- 2 * (radius ** 2) * k
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- 2 * (radius**2) * k
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)
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if abs(d_fk) < 1e-5 and abs(line_x - center_x - radius) < 1e-5:
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# k不存在,角度为90°,k取一个很大的正数
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@ -447,7 +459,7 @@ def func_ng(td): # 地闪密度,通过雷暴日计算
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if para.ng > 0:
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r = para.ng
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else:
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r = 0.023 * (td ** 1.3)
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r = 0.023 * (td**1.3)
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return r
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@ -456,12 +468,12 @@ def circle_ground_surface_intersection(radius, center_x, center_y, ground_surfac
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# 最笨的办法,一个个去试
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x_series = np.linspace(0, radius, int(radius / 0.001)) + center_x
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part_to_be_squared = (
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radius ** 2 - (x_series - center_x) ** 2
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radius**2 - (x_series - center_x) ** 2
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) # 有可能出现-0.00001的数值,只是一个数值稳定问题。
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part_to_be_squared[
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(part_to_be_squared < 0) & (abs(part_to_be_squared) < 1e-3)
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] = 0 # 强制为0
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y_series = center_y - part_to_be_squared ** 0.5
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y_series = center_y - part_to_be_squared**0.5
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ground_surface_y = ground_surface(x_series)
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equal_location = np.abs(ground_surface_y - y_series) < 0.5
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r_x = x_series[equal_location][0]
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@ -473,6 +485,8 @@ def circle_ground_surface_intersection(radius, center_x, center_y, ground_surfac
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# insulator_c_len绝缘子闪络距离
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def arc_possibility(rated_voltage, insulator_c_len): # 建弧率
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# 50064 中附录给的公式
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_e = rated_voltage / (3 ** 0.5) / insulator_c_len
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r = (4.5 * (_e ** 0.75) - 14) * 1e-2
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# TODO 需要区分交直流
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# _e = rated_voltage / (3**0.5) / insulator_c_len #交流
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_e = abs(rated_voltage) / (1) / insulator_c_len # 直流
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r = (4.5 * (_e**0.75) - 14) * 1e-2
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return r
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