parent
b98d2534ab
commit
ef60e1474b
137
main.py
137
main.py
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@ -4,6 +4,7 @@ import numpy as np
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gCAD = None
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gMSP = None
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gCount = 1
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class Draw:
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@ -59,9 +60,9 @@ def solve_circle_intersection(rs, rc, hgav, hcav, dgc):
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# 圆与地面线交点
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def solve_circle_line_intersection(rc, rg, h_cav, dgc):
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def solve_circle_line_intersection(radius, rg, center_y, center_x):
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# TODO: 需要考虑地面捕雷线与暴露弧完全没交点的情况
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r = (rc ** 2 - (rg - h_cav) ** 2) ** 0.5 + dgc
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r = (radius ** 2 - (rg - center_y) ** 2) ** 0.5 + center_x
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return [r, rg]
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@ -93,11 +94,11 @@ def rc_fun(i, u_ph):
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return r
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def rg_fun(i, h_cav):
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def rg_fun(i_curt, h_cav):
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if h_cav < 40:
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rg = (3.6 + 1.7 ** math.log(43 - h_cav)) ** 0.65
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else:
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rg = 5.5 * (i ** 0.65)
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rg = 5.5 * (i_curt ** 0.65)
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return rg
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@ -148,17 +149,17 @@ def fun_calculus_pw(theta, max_w):
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return r_pw
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def cal_bd(theta, rc, rs, rg, dgc, h_cav, h_gav):
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def calculus_bd(theta, rc, rs, rg, dgc, h_cav, h_gav): # 对θ进行积分
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# 求暴露弧上一点的切线
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line_x = math.cos(theta) * rc + dgc
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line_y = math.sin(theta) * rc + h_cav
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max_w = theta + math.pi / 2 # 入射角
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k = math.tan(max_w)
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k = math.tan(theta + math.pi / 2) # 入射角
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# 求保护弧到直线的距离，判断是否相交
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d_to_rs = distance_point_line(0, h_gav, line_x, line_y, k)
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if d_to_rs < rs: # 相交
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# 要用过直线上一点到暴露弧的切线
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new_k = tangent_line_k(line_x, line_y, 0, h_gav, rs, init_k=k)
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if not new_k:
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a = 12
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tangent_line_k(line_x, line_y, 0, h_gav, rs, init_k=k)
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@ -169,18 +170,21 @@ def cal_bd(theta, rc, rs, rg, dgc, h_cav, h_gav):
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if max_w < 0:
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abc = 123
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tangent_line_k(line_x, line_y, 0, h_gav, rs, init_k=k)
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global gCount
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gCount += 1
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if gCount % 1000 == 0:
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# intersection_angle(dgc, h_gav, h_cav, i_curt, u_ph)
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# gMSP.add_circle((0, h_gav), rs)
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# gMSP.add_circle((dgc, h_cav), rc)
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# gMSP.add_line((dgc, h_cav), (line_x, line_y))
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# gMSP.add_line(
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# (-500, k * (-500 - line_x) + line_y), (500, k * (500 - line_x) + line_y)
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# )
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# gMSP.add_line((0, rg), (1000, rg))
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# gCAD.save()
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tangent_line_k(line_x, line_y, 0, h_gav, rs, init_k=k)
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pass
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gMSP.add_circle((0, h_gav), rs)
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gMSP.add_circle((dgc, h_cav), rc)
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gMSP.add_line((dgc, h_cav), (line_x, line_y))
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gMSP.add_line(
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(-500, new_k * (-500 - line_x) + line_y),
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(500, new_k * (500 - line_x) + line_y),
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)
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gMSP.add_line((0, rg), (1000, rg))
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gCAD.save()
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else:
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max_w = theta + math.pi / 2 # 入射角
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r = rc / math.cos(theta) * fun_calculus_pw(theta, max_w)
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return r
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@ -195,11 +199,11 @@ def bd_area(i_curt, u_ph, dgc, h_gav, h_cav): # 暴露弧的投影面积
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theta_sample, d_theta = np.linspace(
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theta1, theta2, int((theta2 - theta1) / theta_fineness) + 1, retstep=True
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)
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for cal_theta in theta_sample[:-1]:
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for calculus_theta in theta_sample[:-1]:
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r_bd += (
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(
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cal_bd(cal_theta, rc, rs, rg, dgc, h_cav, h_gav)
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+ cal_bd(cal_theta + d_theta, rc, rs, rg, dgc, h_cav, h_gav)
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calculus_bd(calculus_theta, rc, rs, rg, dgc, h_cav, h_gav)
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+ calculus_bd(calculus_theta + d_theta, rc, rs, rg, dgc, h_cav, h_gav)
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)
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/ 2
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* d_theta
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@ -217,31 +221,44 @@ def tangent_line_k(line_x, line_y, center_x, center_y, radius, init_k=10.0):
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# 牛顿法求解k
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# f(k)=(k*x1-y1-k*x0+y0)**2-R**2*(k**2+1) x1,y1是圆心
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# TODO:需要检验k值不存在的情况
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k_candidate = [-100, 100]
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for ind, k_cdi in enumerate(list(k_candidate)):
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k = k_candidate[ind]
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k_candidate[ind] = None
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for bar in range(0, 30):
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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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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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)
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d_k = -fk / d_fk
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k += d_k
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if abs(d_k) < 1e-5:
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dd = distance_point_line(center_x, center_y, line_x, line_y, k)
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if abs(dd - radius) < 1e-5:
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k_candidate[ind] = k
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k_candidate = [-100, 100]
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if abs(center_y - line_y) < 1e-4 and abs(line_x - center_x - radius) < 1e-4:
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# k不存在
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k_candidate = [99999999, 99999999]
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else:
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for ind, k_cdi in enumerate(list(k_candidate)):
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k = k_candidate[ind]
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k_candidate[ind] = None
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for bar in range(0, 30):
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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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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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)
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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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k_candidate[ind] = 99999999999999
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break
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d_k = -fk / d_fk
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k += d_k
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if abs(d_k) < 1e-4:
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dd = distance_point_line(center_x, center_y, line_x, line_y, k)
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if abs(dd - radius) < 1e-5:
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k_candidate[ind] = k
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break
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# 把k转化成相应的角度，从x开始，逆时针为正
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k_angle = []
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for kk in k_candidate:
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if kk == None:
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abc = 123
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tangent_line_k(line_x, line_y, center_x, center_y, radius)
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pass
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if kk >= 0:
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k_angle.append(math.atan(kk))
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if kk < 0:
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@ -253,9 +270,9 @@ def tangent_line_k(line_x, line_y, center_x, center_y, radius, init_k=10.0):
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def egm():
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for u_bar in range(1):
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u_ph = math.sqrt(2) * 750 * math.cos(2 * math.pi / 6 * 0) / 1.732 # 运行相电压
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h_cav = 90 # 导线对地平均高
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h_gav = h_cav + 9.5 + 2.7
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dgc = 2.9 # 导地线水平距离
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h_gav = 30
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h_cav = h_gav - 9.5 - 2.7 - 5 # 导线对地平均高
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dgc = -2.9 # 导地线水平距离
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# 迭代法计算最大电流
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i_max = 0
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_min_i = 20 # 尝试的最小电流
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@ -263,23 +280,20 @@ def egm():
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for i_bar in np.linspace(_min_i, _max_i, int((_max_i - _min_i) / 0.1)): # 雷电流
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print(f"尝试计算电流为{i_bar:.2f}")
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rs = rs_fun(i_bar)
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# if not np.isreal(rs):
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# continue
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rc = rc_fun(i_bar, u_ph)
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# if not np.isreal(rc):
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# continue
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rg = rg_fun(i_bar, h_cav)
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# if not np.isreal(rg):
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# continue
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circle_intersection = solve_circle_intersection(rs, rc, h_gav, h_cav, dgc)
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if not circle_intersection: # if circle_intersection is []
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continue
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circle_line_intersection = solve_circle_line_intersection(
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circle_rc_line_intersection = solve_circle_line_intersection(
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rc, rg, h_cav, dgc
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)
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min_distance_intersection = (
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np.sum(
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(np.array(circle_intersection) - np.array(circle_line_intersection))
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(
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np.array(circle_intersection)
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- np.array(circle_rc_line_intersection)
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)
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** 2
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)
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** 0.5
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@ -287,14 +301,29 @@ def egm():
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i_max = i_bar
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if min_distance_intersection < 0.1:
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break
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if circle_intersection[1] < circle_rc_line_intersection[1]:
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circle_rs_line_intersection = solve_circle_line_intersection(
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rs, rg, h_gav, 0
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)
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# 判断与保护弧的交点是否在暴露弧外面
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distance = (
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np.sum(
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(np.array(circle_rs_line_intersection) - np.array([dgc, h_cav]))
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** 2
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)
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** 0.5
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)
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if distance > rc:
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print("暴露弧已经完全被屏蔽")
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break
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i_min = min_i(6.78, u_ph / 1.732)
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cad = Draw()
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cad.draw(i_min, u_ph, h_gav, h_cav, dgc, 2)
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cad.draw(i_max, u_ph, h_gav, h_cav, dgc, 6)
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cad.save()
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# 判断是否导线已经被完全保护
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if abs(i_max - _max_i) < 1e-5:
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print("无法找到最大电流，可能是杆塔较高。")
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i_max = 300
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print(f"最大电流设置为自然界最大电流{i_max}kA")
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print(f"最大电流为{i_max:.2f}")
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print(f"最小电流为{i_min:.2f}")
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@ -328,6 +357,6 @@ def egm():
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if __name__ == "__main__":
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thunder_density(2)
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tangent_line_k(1, 0, 0, 0, 1)
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egm()
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print("Finished.")
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