pcb-stator-coil-generator/coil.ipynb
Chris Greening dc2dacfe1a fatter coils
2022-10-02 19:46:28 +01:00

314 lines
286 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib as plt\n",
"from skspatial.objects import LineSegment"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"SPACING = 0.4\n",
"TURNS = 9\n",
"STATOR_RADIUS = 20"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [],
"source": [
"# create a square shape\n",
"# template = [(-1, -1), (1, -1), (1, 1), (-1 , 1)]\n",
"# create a triangle\n",
"template = [[-1.5, 0], (1, -1.4), (1, 1.4)]\n",
"# interpolate the shape using numpy\n",
"\n",
"# create a circle template\n",
"# template = [(np.cos(theta), np.sin(theta)) for theta in np.linspace(0, 2*np.pi, 36)]\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x146497820>]"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the template shape wrapping around to the first point\n",
"plt.pyplot.plot([x for x, y in template] + [template[0][0]], [y for x, y in template] + [template[0][1]])"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x14610a470>]"
]
},
"execution_count": 101,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# apply Chaikin's algorithm to the template - corner cuttine\n",
"def chaikin(arr, iterations):\n",
" if iterations == 0:\n",
" return arr\n",
" l = len(arr)\n",
" smoothed = []\n",
" for i in range(l):\n",
" x1, y1 = arr[i]\n",
" x2, y2 = arr[(i+1)%l]\n",
" smoothed.append([0.9*x1 + 0.1*x2,0.9*y1 + 0.1*y2])\n",
" smoothed.append([0.1*x1 + 0.9*x2,0.1*y1 + 0.9*y2])\n",
" return chaikin(smoothed, iterations - 1)\n",
"\n",
"template = chaikin(template, 2)\n",
"plt.pyplot.plot([x for x, y in template] + [template[0][0]], [y for x, y in template] + [template[0][1]]) "
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [],
"source": [
"# this speeds things up dramatically as we only have to compute the line intersections once\n",
"# there are probably much faster ways of doing this - we're just doing a brute force search\n",
"# for the intersections - consult algorithms from games for inspiration...\n",
"def get_template_point_cache(template):\n",
" # sweep a line from the origin through 360 degress times the number of turns in 1 degree increments\n",
" # and find the intersection points with the template shape\n",
" cache = {}\n",
" for angle in np.arange(0, 360, 1):\n",
" line = LineSegment(np.array([0, 0]), np.array([1000 * np.cos(np.deg2rad(angle)), 1000 * np.sin(np.deg2rad(angle))]))\n",
" for i in range(len(template)):\n",
" segment = LineSegment(np.array(template[i]), np.array(template[(i + 1) % len(template)]))\n",
" try:\n",
" intersection = line.intersect_line_segment(segment)\n",
" if intersection is not None:\n",
" cache[angle] = (intersection, segment)\n",
" except ValueError:\n",
" pass\n",
" return cache\n",
"\n",
"def get_points(template, turns, spacing, cache = None):\n",
" if cache is None:\n",
" cache = get_template_point_cache(template)\n",
" points = []\n",
" for angle in np.arange(0, 360 * turns, 1):\n",
" intersection, segment = cache[angle % 360]\n",
" offset = spacing * angle / 360\n",
" vector = np.array(segment.point_a) - np.array(segment.point_b)\n",
" normal = vector / np.linalg.norm(vector)\n",
" # rotate the vector 90 degrees\n",
" normal = np.array([-normal[1], normal[0]])\n",
" # move the intersection point along the normal vector by the spacing\n",
" points.append(intersection + normal * offset)\n",
" return points\n"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [],
"source": [
"cache = get_template_point_cache(template)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [],
"source": [
"points = get_points(template, TURNS, SPACING, cache)"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: xlabel='x'>"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the points\n",
"df = pd.DataFrame(points, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y')"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: xlabel='x'>"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"points = [(0,0)] + get_points(template, TURNS, SPACING, cache) \n",
"\n",
"COIL_CENTER_RADIUS = STATOR_RADIUS/2\n",
"\n",
"angle_A = 0\n",
"angle_B = 120\n",
"angle_C = 240\n",
"\n",
"# roate the points by the required angle\n",
"def rotate(points, angle):\n",
" return [[x * np.cos(np.deg2rad(angle)) - y * np.sin(np.deg2rad(angle)), x * np.sin(np.deg2rad(angle)) + y * np.cos(np.deg2rad(angle))] for x, y in points]\n",
"\n",
"# move the points out to the distance at the requited angle\n",
"def translate(points, distance, angle):\n",
" return [[x + distance * np.cos(np.deg2rad(angle)), y + distance * np.sin(np.deg2rad(angle))] for x, y in points]\n",
"\n",
"coil_A = translate(rotate(points, angle_A), COIL_CENTER_RADIUS, angle_A)\n",
"coil_B = translate(rotate(points, angle_B), COIL_CENTER_RADIUS, angle_B)\n",
"coil_C = translate(rotate(points, angle_C), COIL_CENTER_RADIUS, angle_C)\n",
"\n",
"# cretae the opposite coils\n",
"coil_A_opposite = translate(rotate(points, angle_A + 180), COIL_CENTER_RADIUS, angle_A + 180)\n",
"coil_B_opposite = translate(rotate(points, angle_B + 180), COIL_CENTER_RADIUS, angle_B + 180)\n",
"coil_C_opposite = translate(rotate(points, angle_C + 180), COIL_CENTER_RADIUS, angle_C + 180)\n",
"\n",
"# plot all three coils on the same graph\n",
"df = pd.DataFrame(coil_A, columns=['x', 'y'])\n",
"ax = df.plot.line(x='x', y='y', label='Coil A', color='blue')\n",
"ax.axis('equal')\n",
"df = pd.DataFrame(coil_B, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil B', color='green')\n",
"df = pd.DataFrame(coil_C, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil C', color='red')\n",
"\n",
"df = pd.DataFrame(coil_A_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil A Opposite', color='blue')\n",
"df = pd.DataFrame(coil_B_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil B Opposite', color='green')\n",
"df = pd.DataFrame(coil_C_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil C Opposite', color='red')\n",
"\n"
]
}
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