pcb-stator-coil-generator/coil.ipynb

201 lines
149 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 102,
"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": 103,
"metadata": {},
"outputs": [],
"source": [
"# create a square shape\n",
"# template = [(-1, -1), (1, -1), (1, 1), (-1 , 1)]\n",
"# create a triangle\n",
"template = [(-1, -1), (1, 0), (-1, 1)]\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": 104,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x15ac1a260>]"
]
},
"execution_count": 104,
"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": 105,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x15acc09a0>]"
]
},
"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": [
"# 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, 5)\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": 106,
"metadata": {},
"outputs": [],
"source": [
"SPACING = 0.2\n",
"TURNS = 5\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([10 * np.cos(np.deg2rad(angle)), 10 * 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",
"\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"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: xlabel='x'>"
]
},
"execution_count": 107,
"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')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.10.7 ('venv': venv)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.7"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "1ce20143987840b9786ebb5907032c9c3a8efacbb887dbb0ebc4934f2ad26cb3"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}