MaqElec04.ipynb

{
 "cells": [
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   "id": "3f3c6d62-ca87-49a9-ade6-7473392cb9d7",
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    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Motor de corrent continu d'excitació independent"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e8e8102-ec84-42ec-a590-23c814d83567",
   "metadata": {},
   "source": [
    "L'esquema al rotor és molt semblant al motor d'imants permanents:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b25b792-5016-42b6-8e2c-3b98ade2fbaa",
   "metadata": {},
   "source": [
    "![](img/MaqElec/schrotor3.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ab5cd32-837b-4a55-ae33-23658053ea23",
   "metadata": {},
   "source": [
    "Però ara l'estator té una bobina amb resistència $R_e$ alimentada amb una font externa $U_e$ que genera el camp magnètic"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5831a850-a768-4e52-bc9f-19c37ce43cfd",
   "metadata": {},
   "source": [
    "![](img/MaqElec/schestator.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b74e8e1-ab54-48f0-89e0-fa3de553f41f",
   "metadata": {},
   "source": [
    "## Condicions nominals"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83e044ca-3d13-4bb9-aab3-3bf02c718cd9",
   "metadata": {},
   "source": [
    "No ha canviat res al rotor:\n",
    "\n",
    "$\\Large I_i = \\frac{U-\\varepsilon}{r} $\n",
    "\n",
    "Al estator tenim ara un consum:\n",
    "\n",
    "$\\Large I_e = \\frac{U_e}{R_e} $\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a8487e1-6ebe-40a3-9a00-590d056eeb81",
   "metadata": {},
   "source": [
    "## Inversió de gir\n",
    "\n",
    "Cal invertir la polaritat de una de las fonts, però no de les dos a la vegada"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b14d490a-7f8c-4b3f-9268-f0ff8aef5142",
   "metadata": {},
   "source": [
    "## Comportament a l'engegada\n",
    "\n",
    "Donada la similitud amb els motors d'imants permanents, hem de posar un reostat $R_a$ amb sèrie amb el rotor per limitar la intensitat en l'engegada de forma que\n",
    "\n",
    "$I_a = \\alpha \\cdot I_n$ \n",
    "\n",
    "$1,5 \\le \\alpha \\le 2,5$\n",
    "\n",
    "$\\Large \\Gamma_a =  \\alpha \\cdot \\Gamma_n$\n",
    "\n",
    "Es a dir, si dupliquem la intensitat a l'engegada també dupliquem el parell"
   ]
  },
  {
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   "metadata": {
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    "tags": []
   },
   "source": [
    "## Corbes característiques"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48ea3154-f2bf-432e-a3e8-e5946e46de7d",
   "metadata": {},
   "source": [
    "Són molt semblants a les del motor d'imants permanents:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f6847c34-b2e1-4f93-afb8-7a1e98a33496",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 500x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from math import pi\n",
    "Pn=43E3\n",
    "Un=420\n",
    "In=121\n",
    "nn=1133\n",
    "UEn=200\n",
    "IEn=6\n",
    "En=Pn/In\n",
    "r=(Un-En)/In\n",
    "wn=nn*2*pi/60\n",
    "kphin=En/wn\n",
    "etan=Pn/(In*Un+IEn*UEn)\n",
    "gn=kphin*In\n",
    "x = np.linspace(0.02, 3, 300)\n",
    "I = x*In\n",
    "g = kphin*I \n",
    "e = Un-I*r\n",
    "w = e/kphin\n",
    "eta=e*I/(Un*I+UEn*IEn)\n",
    "\n",
    "fig, axs = plt.subplots(3, 1, figsize=(5, 10), layout='constrained')\n",
    "\n",
    "axs[0].plot(I/In, w/wn)\n",
    "axs[0].axis([0, 3, 0, 1.4])\n",
    "axs[0].set_xticks([0,1], ['0','$I_n$'])\n",
    "axs[0].set_yticks([0,1], ['0','$n_n$'])\n",
    "axs[0].set_title('velocitat $n(I_i)$')\n",
    "\n",
    "axs[1].plot(I/In, g/gn)\n",
    "axs[1].axis([0, 3, 0, 3])\n",
    "axs[1].set_xticks([0,1], ['0','$I_n$'])\n",
    "axs[1].set_yticks([0,1], ['0','$\\Gamma_n$'])\n",
    "axs[1].set_title('moment $\\Gamma(I_i)$')\n",
    "\n",
    "axs[2].plot(g/gn, w/wn)\n",
    "axs[2].axis([0, 3, 0, 1.4])\n",
    "axs[2].set_yticks([0.8,1,1.2], ['90%','$n_n$','110%'])\n",
    "axs[2].set_xticks([0.5,1,2], ['50%','$\\Gamma_n$','200%'])\n",
    "axs[2].set_title('Mecànica $n(\\Gamma)$')\n",
    "\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2af77114-1651-40f1-aff3-77c299633319",
   "metadata": {},
   "source": [
    "## Aplicacions\n",
    "\n",
    "Com veiem aquest motor té un bon comportment: la variació de la càrrega només modifica lleugerament la velocitat, desenvolupant un parell proporcional al corrent. L'utilització dels elecroimants a l'estator permet fer motors potents i robusts.\n",
    "\n",
    "Són motors ideals per màquines de velocitat pràcticament constant independentment de la càrrega: torns, trepants, ventiladors, bombes.\n",
    "\n",
    "Especialment útils en màquines d'elevació on la càrrrega pot ser bruscament suprimida i un motor d'excitació sèrie podria embalar-se.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2160cc5c-fc67-4447-9976-82d5152cb099",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "## Rendiment\n",
    "\n",
    "Aquest motor té un rendiment nominal:\n",
    "\n",
    "$$\\Large \\eta = \\frac{P_u}{P_c} = \\frac{\\varepsilon \\cdot I_i}{U \\cdot I_i + U_e \\cdot I_e}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d2500001-0da2-4a5c-9b93-dde4bf142736",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p=I*e\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(5, 3), layout='constrained')\n",
    "\n",
    "ax.plot(p/Pn, eta/etan)\n",
    "ax.axis([0, 2.2, 0, 2])\n",
    "ax.set_xticks([0,1], ['0','$P_n$'])\n",
    "ax.set_yticks([0,1], ['0','$\\eta_n$'])\n",
    "ax.set_title('Característica rendiment v. potència útil')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a0f2a41-b315-47a2-9e2e-2a9b92a4dc79",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "```{admonition} Pàgina en desenvolupament\n",
    "Encara estem treballant en aquest document.   \n",
    "Esperem oferir-vos properament el seu contingut.   \n",
    "Disculpeu les molèsties.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "180ad786-3b18-41dd-9ebb-d945b3494067",
   "metadata": {},
   "source": [
    "## Variació de la tensió d'excitació externa"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebea34ff-ab89-4165-9a92-cc83f85d9e34",
   "metadata": {},
   "source": [
    "Si canviem la tensió d'excitació externa en un factor $\\beta$ respecte el seu valor nominal $U_e$:\n",
    "\n",
    "$U_{exc} = \\beta \\cdot U_e$\n",
    "\n",
    "també canviara el consum al estator:\n",
    "\n",
    "$\\Large I_{exc} = \\frac{\\beta \\cdot U_e}{R_e} = \\beta \\cdot I_e$\n",
    "\n",
    "Com aquesta intensitat genera el camp magnètic a l'estator, el flux variarà:\n",
    "\n",
    "$\\Phi = \\beta \\cdot \\Phi_n$\n",
    "\n",
    "Per tant la velocitat i el moment es veuran afectats:\n",
    "\n",
    "$ \\varepsilon = k \\cdot \\Phi \\cdot \\omega  = k \\cdot \\beta \\cdot \\Phi_n \\cdot \\omega$\n",
    "\n",
    "$ \\Gamma = k \\cdot \\Phi \\cdot I_i  = k \\cdot \\beta \\cdot \\Phi_n \\cdot I_i$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa5683ba-2c49-42fe-aa04-f32c5d7c3d5c",
   "metadata": {},
   "source": [
    "Es razonamble pensar que el momento es el nominal?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bc811e39-4ac4-4f5e-a721-f464b2701fd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "UE = x*UEn\n",
    "IE = x*IEn\n",
    "kphi = x*kphin\n",
    "#sup g = gn\n",
    "\n",
    "I = gn/kphi\n",
    "e = Un-I*r\n",
    "w = e/kphi\n",
    "eta=e*I/(Un*I+UE*IE)\n",
    "\n",
    "fig, axs = plt.subplots(3, 1, figsize=(5, 10), layout='constrained')\n",
    "\n",
    "axs[0].plot(UE/UEn, w/wn)\n",
    "axs[0].axis([0, 3, 0, 3])\n",
    "axs[0].set_xticks([0,1], ['0','$UE_n$'])\n",
    "axs[0].set_yticks([0,1], ['0','$n_n$'])\n",
    "axs[0].set_title('Característica velocitat v. UE')\n",
    "\n",
    "axs[1].plot(UE/UEn, I/In)\n",
    "axs[1].axis([0, 3, 0, 3])\n",
    "axs[1].set_xticks([0,1], ['0','$UE_n$'])\n",
    "axs[1].set_yticks([0,1], ['0','$I_n$'])\n",
    "axs[1].set_title('Característica intensitat v. UE')\n",
    "\n",
    "axs[2].plot(UE/UEn, eta/etan)\n",
    "axs[2].axis([0, 3, 0, 1.4])\n",
    "axs[2].set_yticks([0.8,1,1.2], ['90%','$eta_n$','110%'])\n",
    "axs[2].set_xticks([0.5,1,2], ['50%','$UE_n$','200%'])\n",
    "axs[2].set_title('Característica rendiment v UE')\n",
    "\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3db71425-2179-4e28-af5b-0ae3ac4a9673",
   "metadata": {},
   "source": [
    "## Exemple"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1ea6e82-e23e-4474-8000-b2f03c4471d3",
   "metadata": {},
   "source": [
    "**PAU ELECTROTÈCNIA 2020 S4 P4**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1088313-26c1-478a-854c-1fce3d5f985d",
   "metadata": {},
   "source": [
    "![](img/MaqElec/PAUELEC2020S4P4.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bf87bab7-76ff-4bd7-836d-c8f2537a0d6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "PN=4E3\n",
    "UN=280\n",
    "IN=17.1\n",
    "nN=1200\n",
    "UEXCN=210\n",
    "REXC=62\n",
    "wN=nN*2*pi/60"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02ec0abe-b3d3-4664-aed7-be5224def306",
   "metadata": {},
   "source": [
    "a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "eecf404d-247a-42d4-85cd-f4be5cd98116",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "31.830988618379067"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MN=PN/wN\n",
    "MN"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "132cde71-e999-4a7d-961c-d437a48b39ad",
   "metadata": {},
   "source": [
    "b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "171a8786-7412-4094-9f88-40df991198b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.6948462774870916"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EN=PN/IN\n",
    "Ri=(UN-EN)/IN\n",
    "Ri"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cae9ebb9-05ae-4b4d-a7e7-cbb147254e82",
   "metadata": {},
   "source": [
    "c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a3f3d5df-de5d-4213-a7fa-4a0533ede87d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "52.40292780228882"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U1=UN/2\n",
    "M1=MN/2\n",
    "I1=IN/2\n",
    "E1=U1-Ri*I1\n",
    "w1=E1/EN*wN\n",
    "eta1=(M1*w1)/(U1*I1+UEXCN**2/REXC)*100\n",
    "eta1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a107bc7a-a088-4b70-9b38-5fd8e53506da",
   "metadata": {},
   "source": [
    "d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f62b7d30-fbfa-4d7d-bc54-c214b0bf6a80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8541283847486928"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "UEXC2=UEXCN/2\n",
    "M2=MN/4\n",
    "I2=IN/2\n",
    "n2=2636\n",
    "w2=n2*2*pi/60\n",
    "eta2=(M2*w2)/(UN*I2+UEXC2**2/REXC)\n",
    "eta2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cdf97fc8-6605-4180-8382-17bfe751433b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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