{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# Yaw Steering for Solar Power Optimisation\n", "\n", "Demonstrates the effect of yaw steering on solar power generation.\n", "\n", "**Scenario**\n", "- 450 km circular orbit, 50° inclination, nadir-pointed\n", "- Single deployed solar panel: 5 m² active area, normal direction (1, 0, −1) in body frame\n", "- 30% solar-to-DC efficiency\n", "- Comparison: fixed nadir attitude vs yaw steering" ] }, { "cell_type": "code", "execution_count": 1, "id": "cell-1", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from missiontools import Spacecraft, FixedAttitudeLaw, NormalVectorSolarConfig" ] }, { "cell_type": "markdown", "id": "cell-2", "metadata": {}, "source": [ "## 1. Spacecraft and solar panel setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Panel gross area : 5.0 m²\n", "Active cell area : 4.75 m²\n", "Panel normal : [1, 0, -1]\n", "Efficiency : 30%\n" ] } ], "source": [ "EPOCH = np.datetime64('2025-03-20T12:00:00', 'us')\n", "\n", "PANEL_AREA = 5.0 # m² gross\n", "FILL_FACTOR = 0.95\n", "EFFICIENCY = 0.30\n", "PANEL_NORMAL = [1, 0, -1] # body frame (normalised internally)\n", "\n", "active_area = PANEL_AREA * FILL_FACTOR\n", "\n", "print(f\"Panel gross area : {PANEL_AREA:.1f} m\\u00b2\")\n", "print(f\"Active cell area : {active_area:.2f} m\\u00b2\")\n", "print(f\"Panel normal : {PANEL_NORMAL}\")\n", "print(f\"Efficiency : {EFFICIENCY:.0%}\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "cell-4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Altitude : 450 km\n", "Inclination : 50.0°\n", "Orbital period : 93.4 min\n" ] } ], "source": [ "sc_static = Spacecraft(\n", " a = (6_371_000 + 450_000), # 450 km altitude\n", " e = 0.0,\n", " i = np.radians(50.0),\n", " raan = 0.0,\n", " arg_p = 0.0,\n", " ma = 0.0,\n", " epoch = EPOCH,\n", ")\n", "\n", "cfg_static = NormalVectorSolarConfig(\n", " normal_vecs=[PANEL_NORMAL],\n", " areas=[active_area],\n", " efficiency=EFFICIENCY,\n", ")\n", "sc_static.add_solar_config(cfg_static)\n", "\n", "mu = sc_static.central_body_mu\n", "period_s = 2 * np.pi * np.sqrt(sc_static.a**3 / mu)\n", "period = np.timedelta64(int(period_s * 1e6), 'us')\n", "\n", "print(f\"Altitude : 450 km\")\n", "print(f\"Inclination : 50.0\\u00b0\")\n", "print(f\"Orbital period : {period_s / 60:.1f} min\")" ] }, { "cell_type": "markdown", "id": "cell-5", "metadata": {}, "source": [ "## 2. Static attitude — power over one orbit" ] }, { "cell_type": "code", "execution_count": 4, "id": "cell-6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OAP (static) : 596.12 W\n", "Peak power : 1946.52 W\n" ] } ], "source": [ "result_static = cfg_static.generation(EPOCH, EPOCH + period, np.timedelta64(10, 's'))\n", "oap_static = cfg_static.oap()\n", "\n", "print(f\"OAP (static) : {oap_static:.2f} W\")\n", "print(f\"Peak power : {result_static['power'].max():.2f} W\")" ] }, { "cell_type": "markdown", "id": "cell-7", "metadata": {}, "source": [ "## 3. Yaw steering — power over one orbit" ] }, { "cell_type": "code", "execution_count": 5, "id": "cell-8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OAP (yaw steering): 1004.05 W\n", "Peak power : 1946.55 W\n" ] } ], "source": [ "# Build a second spacecraft with yaw steering enabled\n", "sc_yaw = Spacecraft(\n", " a = sc_static.a,\n", " e = 0.0,\n", " i = np.radians(50.0),\n", " raan = 0.0,\n", " arg_p = 0.0,\n", " ma = 0.0,\n", " epoch = EPOCH,\n", ")\n", "\n", "cfg_yaw = NormalVectorSolarConfig(\n", " normal_vecs=[PANEL_NORMAL],\n", " areas=[active_area],\n", " efficiency=EFFICIENCY,\n", ")\n", "sc_yaw.add_solar_config(cfg_yaw)\n", "sc_yaw.attitude_law.yaw_steering(cfg_yaw)\n", "\n", "result_yaw = cfg_yaw.generation(EPOCH, EPOCH + period, np.timedelta64(10, 's'))\n", "oap_yaw = cfg_yaw.oap()\n", "\n", "print(f\"OAP (yaw steering): {oap_yaw:.2f} W\")\n", "print(f\"Peak power : {result_yaw['power'].max():.2f} W\")" ] }, { "cell_type": "markdown", "id": "cell-9", "metadata": {}, "source": [ "## 4. Comparison plots" ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-10", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "elapsed_static = (result_static['t'] - result_static['t'][0]) / np.timedelta64(1, 'm')\n", "elapsed_yaw = (result_yaw['t'] - result_yaw['t'][0]) / np.timedelta64(1, 'm')\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 7), sharex=True)\n", "\n", "# --- Individual curves ---\n", "ax1.plot(elapsed_static, result_static['power'], linewidth=0.8, color='tab:blue', label='Static nadir')\n", "ax1.axhline(oap_static, color='tab:blue', linestyle='--', linewidth=1, alpha=0.7,\n", " label=f'OAP = {oap_static:.2f} W')\n", "ax1.plot(elapsed_yaw, result_yaw['power'], linewidth=0.8, color='tab:orange', label='Yaw steering')\n", "ax1.axhline(oap_yaw, color='tab:orange', linestyle='--', linewidth=1, alpha=0.7,\n", " label=f'OAP = {oap_yaw:.2f} W')\n", "ax1.set_ylabel('Power (W)')\n", "ax1.set_title('Solar power generation \\u2014 static vs yaw steering')\n", "ax1.legend(loc='upper right')\n", "ax1.set_ylim(bottom=0)\n", "ax1.grid(True, alpha=0.3)\n", "\n", "# --- Power gain ---\n", "gain = result_yaw['power'] - result_static['power']\n", "ax2.fill_between(elapsed_yaw, gain, alpha=0.4, color='tab:green', label='Power gain')\n", "ax2.axhline(0, color='grey', linewidth=0.5)\n", "ax2.set_xlabel('Time (minutes)')\n", "ax2.set_ylabel('\\u0394 Power (W)')\n", "ax2.set_title('Power gain from yaw steering')\n", "ax2.legend()\n", "ax2.set_xlim(0, elapsed_yaw[-1])\n", "ax2.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell-11", "metadata": {}, "source": [ "## 5. Summary" ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-12", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================================================\n", "Yaw steering summary\n", "==================================================\n", " Static Yaw\n", "--------------------------------------------------\n", "OAP (W) 596.12 1004.05\n", "Peak power (W) 1946.52 1946.55\n", "OAP improvement +68.4%\n" ] } ], "source": [ "improvement = (oap_yaw / oap_static - 1) * 100\n", "\n", "print('=' * 50)\n", "print('Yaw steering summary')\n", "print('=' * 50)\n", "print(f\"{'':25} {'Static':>12} {'Yaw':>12}\")\n", "print('-' * 50)\n", "print(f\"{'OAP (W)':25} {oap_static:>12.2f} {oap_yaw:>12.2f}\")\n", "print(f\"{'Peak power (W)':25} {result_static['power'].max():>12.2f} {result_yaw['power'].max():>12.2f}\")\n", "print(f\"{'OAP improvement':25} {'+' + f'{improvement:.1f}':>12}%\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 5 }