Jupyter notebooks/8.1 - Circuitos RL e RC de primeira ordem.ipynb

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    "<a href=\"https://colab.research.google.com/github/edsonportosilva/ElectricCircuits/blob/master/Jupyter%20notebooks/Circuitos%20El%C3%A9tricos%20I%20-%20Semana%208.1%20-%20Circuitos%20RL%20e%20RC%20de%20primeira%20ordem.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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    "if 'google.colab' in str(get_ipython()):    \n",
    "    ! git clone -b master https://github.com/edsonportosilva/ElectricCircuits\n",
    "    from os import chdir as cd\n",
    "    cd('/content/ElectricCircuits/')\n",
    "    ! pip install -e .\n",
    "    \n",
    "from IPython.core.display import HTML\n",
    "from IPython.display import Image\n",
    "import ipywidgets as widgets\n",
    "import IPython.display as display\n",
    "\n",
    "import sympy as sp\n",
    "import numpy as np\n",
    "from circuit.utils import symplot, symdisp, round_expr,set_preferences\n",
    "\n",
    "try:\n",
    "    import scienceplots\n",
    "except:\n",
    "    ! pip install SciencePlots\n",
    "    \n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use(['science'])\n",
    "set_preferences()\n",
    "\n",
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   "source": [
    "# *Circuitos Elétricos I - Semana 8*"
   ]
  },
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   "cell_type": "markdown",
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    "id": "9STHy2_7UZwG"
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   "source": [
    "### Circuitos RL e RC de primeira ordem\n",
    "\n",
    "Os quatro tipos possíveis de circuitos de primeira ordem estão ilustrados na figura abaixo.\n",
    "\n",
    "<img src=\"./figures/J11C1.png?raw=1\" width=\"700\">"
   ]
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   "source": [
    "Lembrando que um circuito de primeira ordem qualquer, com vários resistores e fontes, por exemplo, pode ser reduzido a um dos quatro circuitos acima fazendo $R=R_{th}$, $v_s=v_{th}$ e $i_s=i_{N}$. Logo, desde que o circuito contenha apenas um elemento indutor ou capacitor, a análise de um circuito de primeira ordem deve ser feita primeiramente determinando-se o circuito equivalente de Thévenin ou de Norton conectado aos terminais do elemento em questão."
   ]
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   "source": [
    "### EDO linear homogênea\n",
    "\n",
    "Aplicando as leis de Kirchhoff juntamente com a **convenção passiva** , obtém-se as seguintes EDOs para a corrente passando pelo indutor no circuito RL e para a tensão nos terminais do capacitor no circuito RC, respectivamente:\n",
    "\n",
    "$$ \\begin{equation}\\label{edoRL}  \\frac{di_L(t)}{dt} + \\frac{R}{L}i_L(t) = \\frac{v_s}{L}, \\end{equation}$$ \n",
    "\n",
    "\n",
    "$$ \\begin{equation}\\label{edoRC} \\frac{dv_C(t)}{dt} + \\frac{1}{RC}v_C(t) = \\frac{v_s}{RC}. \\end{equation}$$ \n",
    "\n",
    "Para encontrar soluções para as EDOs não-homogêneas ($\\ref{edoRL}$) e ($\\ref{edoRC}$) é necessário resolver primeiro uma EDO homogênea separável do tipo\n",
    "\n",
    "$$ \\begin{equation}\\label{edoGenHomo}\\large  \\frac{dx(t)}{dt} + \\frac{1}{\\tau}x(t) = 0, \\end{equation}$$ \n",
    "\n",
    "com $\\tau$ sendo a constante de tempo do circuito. Podemos resolver (\\ref{edoGenHomo}) via integração fazendo\n",
    "\n",
    "$$ \\begin{equation}\\large  \\int_{x\\left(t_{0}^+\\right)}^{x(t)} \\frac{d u}{u}=-\\frac{1}{\\tau} \\int_{t_{0}^+}^{t} d v \\end{equation}$$.\n",
    "\n",
    "Logo, a solução da EDO homogênea será dada por  $$ \\begin{equation}\\large x(t) = x(t_0^+)e^{-\\frac{(t-t_0^+)}{\\tau}}. \\end{equation} $$"
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    "### Resposta natural ($v_s = 0$)\n",
    "\n",
    "A resposta natural de circuitos RL/RC corresponderá a solução da EDO homogênea, ou seja,\n",
    "\n",
    "$$ \\begin{equation} \\large i_L(t) = i_L(t_0^+)e^{-\\frac{(t-t_0^+)}{\\tau}}, \\end{equation}$$\n",
    "\n",
    "com $\\tau = L/R$ para o circuito RL e\n",
    "\n",
    "$$\\begin{equation}  \\large v_C(t) = v_C(t_0^+)e^{-\\frac{(t-t_0^+)}{\\tau}}, \\end{equation} $$\n",
    "\n",
    "com $\\tau = RC$ para o circuito RC."
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    "### Resposta ao degrau ($v_s \\neq 0$)\n",
    "\n",
    "A resposta ao degrau de circuitos RL/RC corresponderá a solução completa das equações (\\ref{edoRL}) e (\\ref{edoRC}), obtidas combinando a solução da EDO homogênea com a solução particular (ou solução de regime estacionário) de cada circuito. Logo,\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    "\\large i_L(t) = i_L(\\infty) + A i_L(t_0^+)e^{-\\frac{(t-t_0^+)}{\\tau}}, \\label{RL1}\n",
    "\\end{equation}\n",
    "$$\n",
    "\n",
    "com $\\tau = L/R$ para o circuito RL e\n",
    "\n",
    "$$\n",
    "\\begin{equation} \n",
    "\\large v_C(t) = v_C(\\infty) + Av_C(t_0^+)e^{-\\frac{(t-t_0^+)}{\\tau}},\\label{RC1} \n",
    "\\end{equation}\n",
    "$$\n",
    "\n",
    "com $\\tau = RC$ para o circuito RC, sendo $A$ a constante da solução geral da EDO.\n",
    "\n",
    "O valor da constante $A$ pode ser determinado considerando o problema de valor inicial, ou seja, utilizando as condições iniciais de corrente no indutor ou tensão no capacitor (condições de contorno). Desse modo, para o circuito RL como sabemos que $t\\to t_0^+\\;s \\Rightarrow i_L(t)\\to i_L(t_0^+)$, temos que\n",
    "\n",
    "$$\\large{\\begin{align} i_L(t_0^+) &= i_L(\\infty) + A i_L(t_0^+) e^{-\\frac{(t_0^+-t_0^+)}{\\tau}}\\nonumber\\\\ &= i_L(\\infty) + A i_L(t_0^+) \\nonumber\\\\ \\Rightarrow A &= \\frac{i_L(t_0^+)- i_L(\\infty)}{i_L(t_0^+)}\\nonumber\n",
    "\\end{align} }$$\n",
    "\n",
    "e para o circuito RC sabemos que $t\\to t_0^+\\;s \\Rightarrow v_C(t)\\to v_C(t_0^+)$, logo\n",
    "\n",
    "$$\\large{\\begin{align} v_C(t_0^+) &= v_C(\\infty) + A v_C(t_0^+)e^{-\\frac{(t_0^+-t_0^+)}{\\tau}}\\nonumber\\\\ &= v_C(\\infty) + A v_C(t_0^+) \\nonumber\\\\ \\Rightarrow A &= \\frac{v_C(t_0^+)- v_C(\\infty)}{v_C(t_0^+)}\\nonumber\n",
    "\\end{align} }$$\n",
    "\n",
    "Substituindo os valores encontrados de $A$ nas equações ($\\ref{RL1}$) e ($\\ref{RC1}$) obtemos as expressões ($\\ref{solucRL}$) e ($\\ref{solucRC}$), ou seja, a solução geral dos circuitos de primeira ordem."
   ]
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   "source": [
    "### Resposta geral ($v_s = 0$ ou $v_s \\neq 0$)\n",
    "\n",
    "De acordo com o exposto acima, a resposta geral de circuitos RL/RC pode ser resumida nas expressões\n",
    "\n",
    "$$ \\begin{equation}\\label{solucRL} \\large  i_L(t) = i_L(\\infty) + \\left[i_L(t_0^+)- i_L(\\infty)\\right]e^{-\\frac{(t-t_0^+)}{\\tau}},\\end{equation} $$\n",
    "\n",
    "com $\\tau = L/R$ para o circuito RL e\n",
    "\n",
    "$$ \\begin{equation} \\label{solucRC} \\large v_C(t) = v_C(\\infty) + \\left[v_C(t_0^+)- v_C(\\infty)\\right]e^{-\\frac{(t-t_0^+)}{\\tau}},\\end{equation} $$\n",
    "\n",
    "com $\\tau = RC$ para o circuito RC.\n",
    "\n",
    "Finalmente, para qualquer circuito de primeira ordem,\n",
    "\n",
    "$$\\begin{equation}  \\large x(t) = x(\\infty) + \\left[x(t_0^+)-x(\\infty)\\right]e^{-\\frac{(t-t_0^+)}{\\tau}},\\end{equation} $$\n",
    "\n",
    "com $\\tau$ sendo a constante de tempo associada a este circuito."
   ]
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   "source": [
    "### Problema 1\n",
    "\n",
    "Para circuito da figura abaixo, a chave encontra-se conectada ao terminal $a$ há muito tempo. Em $t=0s$, posição da chave muda do ponto $a$ para o ponto $b$. Em $t=20 ms$, a chave é desconectada do ponto $b$, permanecendo aberta. Determine:\n",
    "\n",
    "a. A corrente no indutor para $0^+s\\leq t \\leq 20^-ms$.\\\n",
    "b. A tensão nos terminais indutor em $t=0^-s$ e $t=0^+s$.\\\n",
    "c. A tensão nos terminais do resistor de 40 $\\Omega$ em $t=0^-s$ e $t=0^+s$.\\\n",
    "d. A corrente no indutor para $t\\geq20^+ms$.\\\n",
    "e. A tensão nos terminais do indutor em $t=20^+ms$.\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/edsonportosilva/ElectricCircuits/blob/master/Jupyter%20notebooks/figures/J11C2.png?raw=1\" width=\"600\">"
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   "source": [
    "Simulação do circuito disponível no link: https://tinyurl.com/yfs69qqu\n",
    "\n",
    "#### Visualização das curvas $i_L(t)$, $v_L(t)$ e $p_L(t)$"
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       "$\\displaystyle i_L(t) =\\begin{cases} 2.9 & \\text{for}\\: t < 0 \\\\-4.444 + 7.344 e^{- 18.0 t} & \\text{otherwise} \\end{cases}\\;\\mathrm{mA}$"
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",
      "text/plain": [
       "<Figure size 704x396 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# parâmetros do circuito\n",
    "L   = 1\n",
    "vth = -80e-3\n",
    "Rth = 18\n",
    "\n",
    "# informações obtidas pela análise do circuito\n",
    "iL_inf = vth/Rth # iL(infinito)\n",
    "iL_t0  = 2.9e-3  # iL(t0+)\n",
    "\n",
    "τ = L/Rth  # constante de tempo do circuito RL\n",
    "t0  = 0    # instante inicial\n",
    "\n",
    "t = sp.symbols('t', real=True) # define a variável tempo\n",
    "\n",
    "iL = sp.Piecewise( (iL_t0, t<0),                                              # iL(t) para t<t0-\n",
    "                   (iL_inf + (iL_t0 - iL_inf)*sp.exp(-(t-t0)/τ), t>=0) )*1000 # iL(t) para t>t0+\n",
    "\n",
    "symdisp('i_L(t) =', round_expr(iL.simplify(), 3), 'mA')\n",
    "\n",
    "intervalo  = np.linspace(t0-2*τ, t0+8*τ, 400)\n",
    "symplot(t, iL, intervalo, funLabel = '$i_L(t)$ [mA]', xlabel='t [ms]', xfactor=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-30T02:55:36.302048Z",
     "start_time": "2024-08-30T02:55:36.127360Z"
    },
    "id": "FnJUZornUZwL",
    "outputId": "2483d723-c6e9-4e5b-cf90-877c5799ec95"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle v_L(t) = \\begin{cases} 0 & \\text{for}\\: t < 0 \\\\- 132.2 e^{- 18.0 t} & \\text{otherwise} \\end{cases}\\;\\mathrm{ mV}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 704x396 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vL = L*sp.diff(iL,t)\n",
    "vL = vL.simplify()\n",
    "\n",
    "symdisp('v_L(t) = ', vL, ' mV')\n",
    "\n",
    "symplot(t, vL, intervalo, funLabel = '$v_L(t)$ [mV]', xlabel='t [ms]', xfactor=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-30T02:55:36.555486Z",
     "start_time": "2024-08-30T02:55:36.304054Z"
    },
    "id": "Ilmv-VP1UZwM",
    "outputId": "552435a4-6064-4359-94dc-c58a5011009c"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle p_L(t) = \\begin{cases} 0 & \\text{for}\\: t < 0 \\\\\\left(587.556 e^{18.0 t} - 970.936\\right) e^{- 36.0 t} & \\text{otherwise} \\end{cases}\\;\\mathrm{ μW}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 704x396 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pL = vL*iL\n",
    "pL = pL.simplify()\n",
    "\n",
    "symdisp('p_L(t) = ', round_expr(pL,3), ' μW')\n",
    "\n",
    "symplot(t, pL, intervalo, funLabel = '$p_L(t)$ [$\\\\mu$W]', xlabel='t [ms]', xfactor=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-08-30T02:55:36.570325Z",
     "start_time": "2024-08-30T02:55:36.557492Z"
    },
    "hide_input": false,
    "id": "g4RQT4S1UZwM"
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e170ef4faf3e4341add59b861b4bc206",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(Image(value=b'GIF89a\\xb0\\x01 \\x01\\xf7\\xea\\x00\\x00\\x00\\x00\\x01\\x01\\x01\\x03\\x03\\x03\\x04\\x04\\x04\\x…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img1 = open('./figures/J11C2a.gif', 'rb').read()\n",
    "img2 = open('./figures/J11C2b.gif', 'rb').read()\n",
    "\n",
    "wi1 = widgets.Image(value=img1, format='gif', width=600, height=400)\n",
    "wi2 = widgets.Image(value=img2, format='gif', width=600, height=400)\n",
    "\n",
    "sidebyside = widgets.HBox([wi1, wi2])\n",
    "display.display(sidebyside)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "XmOdCPiOUZwM"
   },
   "source": [
    "### Problema 2\n",
    "\n",
    "No circuito da figura abaixo, antes de conectado ao circuito, o capacitor possui uma tensão inicial de $v_C=10~V$. Em $t=0s$, o capacitor é conectado ao circuito. Determine:\n",
    "\n",
    "a. O circuito equivalente de Thévenin do ponto de vista dos terminais do capacitor.\\\n",
    "b. A tensão no capacitor $v_C(t)$ para $t\\geq 0^+s$.\\\n",
    "c. A tensão $v_x(t)$ para $t\\geq 0^+s$. \n",
    "\n",
    "<img src=\"https://github.com/edsonportosilva/ElectricCircuits/blob/master/Jupyter%20notebooks/figures/J11C3.png?raw=1\" width=\"600\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "nTTHi5x-UZwM"
   },
   "source": [
    "Simulação do circuito disponível no link: https://tinyurl.com/yzhty8w3"
   ]
  }
 ],
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