{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Predictive Maintenance\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Predictive maintenance (PdM) is a data-driven preventive maintanance program. It is a proactive maintenance strategy that uses sensors to monitor the performance and equipment conditions during operation. The PdM methods constantly analyze the data to predict when optimal maintenance schedules. It can reduce maintenance costs and prevent catastrophic equipment failure when used correctly. \n", "\n", "In this notebook, we will apply NeuralForecast to perform a supervised Remaining Useful Life (RUL) estimation on the classic PHM2008 aircraft degradation dataset.\n", "\n", "Outline
\n", "1. Installing Packages
\n", "2. Load PHM2008 aircraft degradation dataset
\n", "3. Fit and Predict NeuralForecast
\n", "4. Evaluate Predictions\n", "\n", "You can run these experiments using GPU with Google Colab.\n", "\n", "\"Open" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Installing Packages" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# %%capture\n", "# !pip install git+https://github.com/Nixtla/neuralforecast.git" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# %%capture\n", "# !pip install git+https://github.com/Nixtla/datasetsforecast.git" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['font.family'] = 'serif'\n", "\n", "from neuralforecast.models import NBEATSx, MLP\n", "from neuralforecast import NeuralForecast\n", "#from neuralforecast.losses.pytorch import DistributionLoss, HuberMQLoss, MQLoss\n", "from neuralforecast.losses.pytorch import HuberLoss, MAE\n", "\n", "from datasetsforecast.phm2008 import PHM2008" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Load PHM2008 aircraft degradation dataset\n", "\n", "Here we will load the Prognosis and Health Management 2008 challenge dataset. This dataset used the Commercial Modular Aero-Propulsion System Simulation to recreate the degradation process of turbofan engines for different aircraft with varying wear and manufacturing starting under normal conditions. The training dataset consists of complete run-to-failure simulations, while the test dataset comprises sequences before failure." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "![](https://github.com/Nixtla/neuralforecast/blob/main/nbs/imgs_losses/turbofan_engine.png?raw=1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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20631 rows × 17 columns

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2388.08 8133.83 8.3682 392 38.88 23.3739 188 \n", "4 47.28 522.19 2388.04 8133.80 8.4294 393 38.90 23.4044 187 \n", "... ... ... ... ... ... ... ... ... ... \n", "20626 48.07 519.49 2388.26 8137.60 8.4956 397 38.49 22.9735 4 \n", "20627 48.04 519.68 2388.22 8136.50 8.5139 395 38.30 23.1594 3 \n", "20628 48.09 520.01 2388.24 8141.05 8.5646 398 38.44 22.9333 2 \n", "20629 48.39 519.67 2388.23 8139.29 8.5389 395 38.29 23.0640 1 \n", "20630 48.20 519.30 2388.26 8137.33 8.5036 396 38.37 23.0522 0 \n", "\n", "[20631 rows x 17 columns]" ] }, "execution_count": null, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Y_train_df, Y_test_df = PHM2008.load(directory='./data', group='FD001', clip_rul=False)\n", "Y_train_df" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_df1 = Y_train_df[Y_train_df['unique_id']==1]\n", "plot_df2 = Y_train_df[Y_train_df['unique_id']==2]\n", "plot_df3 = Y_train_df[Y_train_df['unique_id']==3]\n", "\n", "plt.plot(plot_df1.ds, np.minimum(plot_df1.y, 125), color='#2D6B8F', linestyle='--')\n", "plt.plot(plot_df1.ds, plot_df1.y, color='#2D6B8F', label='Engine 1')\n", "\n", "plt.plot(plot_df2.ds, np.minimum(plot_df2.y, 125)+1.5, color='#CA6F6A', linestyle='--')\n", "plt.plot(plot_df2.ds, plot_df2.y+1.5, color='#CA6F6A', label='Engine 2')\n", "\n", "plt.plot(plot_df3.ds, np.minimum(plot_df3.y, 125)-1.5, color='#D5BC67', linestyle='--')\n", "plt.plot(plot_df3.ds, plot_df3.y-1.5, color='#D5BC67', label='Engine 3')\n", "\n", "plt.ylabel('Remaining Useful Life (RUL)', fontsize=15)\n", "plt.xlabel('Time Cycle', fontsize=15)\n", "plt.legend()\n", "plt.grid()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def smooth(s, b = 0.98):\n", " v = np.zeros(len(s)+1) #v_0 is already 0.\n", " bc = np.zeros(len(s)+1)\n", " for i in range(1, len(v)): #v_t = 0.95\n", " v[i] = (b * v[i-1] + (1-b) * s[i-1]) \n", " bc[i] = 1 - b**i\n", " sm = v[1:] / bc[1:]\n", " return sm\n", "\n", "unique_id = 1\n", "plot_df = Y_train_df[Y_train_df.unique_id == unique_id].copy()\n", "\n", "fig, axes = plt.subplots(2,3, figsize = (8,5))\n", "fig.tight_layout()\n", "\n", "j = -1\n", "#, 's_11', 's_12', 's_13', 's_14', 's_15', 's_17', 's_20', 's_21'\n", "for feature in ['s_2', 's_3', 's_4', 's_7', 's_8', 's_9']:\n", " if ('s' in feature) and ('smoothed' not in feature):\n", " j += 1\n", " axes[j // 3, j % 3].plot(plot_df.ds, plot_df[feature], \n", " c = '#2D6B8F', label = 'original')\n", " axes[j // 3, j % 3].plot(plot_df.ds, smooth(plot_df[feature].values), \n", " c = '#CA6F6A', label = 'smoothed')\n", " #axes[j // 3, j % 3].plot([10,10],[0,1], c = 'black')\n", " axes[j // 3, j % 3].set_title(feature)\n", " axes[j // 3, j % 3].grid()\n", " axes[j // 3, j % 3].legend()\n", " \n", "plt.suptitle(f'Engine {unique_id} sensor records')\n", "plt.tight_layout()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Fit and Predict NeuralForecast\n", "\n", "NeuralForecast methods are capable of addressing regression problems involving various variables. The regression problem involves predicting the target variable $y_{t+h}$ based on its lags $y_{:t}$, temporal exogenous features $x^{(h)}_{:t}$, exogenous features available at the time of prediction $x^{(f)}_{:t+h}$, and static features $x^{(s)}$. \n", "\n", "The task of estimating the remaining useful life (RUL) simplifies the problem to a single horizon prediction $h=1$, where the objective is to predict $y_{t+1}$ based on the exogenous features $x^{(f)}_{:t+1}$ and static features $x^{(s)}$. In the RUL estimation task, the exogenous features typically correspond to sensor monitoring information, while the target variable represents the RUL itself.\n", "\n", "$$P(y_{t+1}\\;|\\;x^{(f)}_{:t+1},x^{(s)})$$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "Y_train_df, Y_test_df = PHM2008.load(directory='./data', group='FD001', clip_rul=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Global seed set to 1\n" ] } ], "source": [ "%%capture\n", "futr_exog_list =['s_2', 's_3', 's_4', 's_7', 's_8', 's_9', 's_11',\n", " 's_12', 's_13', 's_14', 's_15', 's_17', 's_20', 's_21']\n", "\n", "model = NBEATSx(h=1, input_size=24,\n", " loss=HuberLoss(),\n", " scaler_type='robust',\n", " stack_types=['identity', 'identity', 'identity'],\n", " dropout_prob_theta=0.5,\n", " futr_exog_list=futr_exog_list,\n", " exclude_insample_y = True,\n", " max_steps=1000)\n", "nf = NeuralForecast(models=[model], freq='M')\n", "\n", "nf.fit(df=Y_train_df)\n", "Y_hat_df = nf.predict(futr_df=Y_test_df).reset_index() # By default last window?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "filter_test_df = Y_test_df.groupby('unique_id').tail(31).reset_index()\n", "Y_hat_df2 = nf.cross_validation(df=filter_test_df, n_windows=30, fit_models=False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Evaluate Predictions\n", "\n", "In the original PHM2008 dataset the true RUL values for the test set are only provided for the last time cycle of each enginge.\n", "We will filter the predictions to only evaluate the last time cycle.\n", "\n", "$$RMSE(\\mathbf{y}_{T},\\hat{\\mathbf{y}}_{T}) = \\sqrt{\\frac{1}{|\\mathcal{D}_{test}|} \\sum_{i} (y_{i,T}-\\hat{y}_{i,T})^{2}}$$\n", "\n", "$$R2(\\mathbf{y}_{T},\\hat{\\mathbf{y}}_{T}) = 1- \\frac{\\sum_{i} (y_{i,T}-\\hat{y}_{i,T})^{2}}{\\sum_{i} (y_{i,T}-\\bar{y}_{i,T})^{2}}$$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NBEATSx Prognosis Evaluation\n", "RMSE:\t 4.119\n", "R2:\t 0.989\n" ] } ], "source": [ "from sklearn.metrics import r2_score\n", "from neuralforecast.losses.numpy import rmse\n", "\n", "model_name = repr(nf.models[0])\n", "y_last = Y_test_df[['unique_id', 'y']].groupby('unique_id').last().reset_index()\n", "y_hat_last = Y_hat_df[['unique_id', model_name]].groupby('unique_id').last().reset_index()\n", "y_last = y_last['y']\n", "y_hat_last = y_hat_last[model_name]\n", "\n", "rmse_eval = rmse(y=y_last, y_hat=y_hat_last)\n", "r2_eval = r2_score(y_true=y_last, y_pred=y_hat_last)\n", "\n", "print(f'{model_name} Prognosis Evaluation')\n", "print(f'RMSE:\\t {rmse_eval:.3f}')\n", "print(f'R2:\\t {r2_eval:.3f}')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(y_last, y_hat_last)\n", "plt.xlabel('True RUL', fontsize=15)\n", "plt.ylabel('RUL Prediction', fontsize=15)\n", "plt.grid()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_df1 = Y_hat_df2[Y_hat_df2['unique_id']==1]\n", "plot_df2 = Y_hat_df2[Y_hat_df2['unique_id']==2]\n", "plot_df3 = Y_hat_df2[Y_hat_df2['unique_id']==3]\n", "\n", "plt.plot(plot_df1.ds, plot_df1['y'], c='#2D6B8F', label='E1 true RUL')\n", "plt.plot(plot_df1.ds, plot_df1[model_name]+1, c='#2D6B8F', linestyle='--', label='E1 predicted RUL')\n", "\n", "plt.plot(plot_df1.ds, plot_df2['y'], c='#CA6F6A', label='E2 true RUL')\n", "plt.plot(plot_df1.ds, plot_df2[model_name]+1, c='#CA6F6A', linestyle='--', label='E2 predicted RUL')\n", "\n", "plt.plot(plot_df1.ds, plot_df3['y'], c='#D5BC67', label='E3 true RUL')\n", "plt.plot(plot_df1.ds, plot_df3[model_name]+1, c='#D5BC67', linestyle='--', label='E3 predicted RUL')\n", "\n", "plt.legend()\n", "plt.grid()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "- [R. Keith Mobley (2002). \"An Introduction to Predictive Maintenance\"](https://www.irantpm.ir/wp-content/uploads/2008/02/an-introduction-to-predictive-maintenance.pdf)
\n", "- [Saxena, A., Goebel, K., Simon, D.,&Eklund, N. (2008). \"Damage propagation modeling for aircraft engine run-to-failure simulation\". International conference on prognostics and health management.](https://ntrs.nasa.gov/api/citations/20090029214/downloads/20090029214.pdf)" ] } ], "metadata": { "kernelspec": { "display_name": "python3", "name": "python3" } }, "nbformat": 4, "nbformat_minor": 0 }