{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "56631091-d682-42c2-88cc-c91a1b3157e3",
   "metadata": {},
   "source": [
    "## Rankine Cycle using Cantera"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4e5d2745",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import cantera as ct\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "from scipy.optimize import fsolve\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c1362692",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w = ct.Water()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "02ca6f46",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def get_TS_saturated(npts=500):\n",
    "    Tc = w.critical_temperature\n",
    "    \n",
    "    Tliq = np.linspace(300.0, Tc-0.1, npts)\n",
    "    sliq = np.zeros(len(Tliq))\n",
    "    for i,T in enumerate(Tliq):\n",
    "        w.TQ = T, 0.0\n",
    "        sliq[i] = w.entropy_mass\n",
    "    \n",
    "    Tvap = np.linspace(Tc-0.1, 300, npts)\n",
    "    svap = np.zeros(len(Tvap))\n",
    "    for i,T in enumerate(Tvap):\n",
    "        w.TQ = T, 1.0\n",
    "        svap[i] = w.entropy_mass\n",
    "        \n",
    "    T = np.hstack([Tliq, Tvap])\n",
    "    S = np.hstack([sliq, svap])\n",
    "    return T,S\n",
    "\n",
    "Tsat,Ssat = get_TS_saturated()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7b458cfc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cycle η = 34.4%\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------- modified example from Cantera\n",
    "\n",
    "eta_pump    = 0.6          # pump isentropic efficiency\n",
    "eta_turbine = 0.8          # turbine isentropic efficiency\n",
    "Pmax        = 100*101325.0 # Pa\n",
    "Tmax        = 800.0        # K\n",
    "T1          = 300.0        # K\n",
    "\n",
    "#----------- helper functions (not used below)\n",
    "\n",
    "def get_S_from_T_satvap(w, T):      # vapor phase\n",
    "    w.TQ = T, 1.0\n",
    "    return w.s\n",
    "def get_T_from_S_satvap(w, s):\n",
    "    T = fsolve(lambda T: get_S_from_T_satvap(w,T)-s, 300.0)[0]\n",
    "    return T\n",
    "\n",
    "def get_S_from_P_satvap(w, P):      # vapor phase\n",
    "    w.PQ = P, 1.0\n",
    "    return w.s\n",
    "def get_P_from_S_satvap(w, s):\n",
    "    P = fsolve(lambda P: get_S_from_P_satvap(w,P)-s, 1013.0)[0]\n",
    "    return P\n",
    "\n",
    "#------------ pump work function (also changes fluid)\n",
    "\n",
    "def pump(fluid, p_final, eta):\n",
    "    \"\"\"Adiabatically pump a fluid to pressure p_final, using\n",
    "    a pump with isentropic efficiency eta.\"\"\"\n",
    "    h0 = fluid.h\n",
    "    s0 = fluid.s\n",
    "    fluid.SP = s0, p_final\n",
    "    h1s = fluid.h\n",
    "    isentropic_work = h1s - h0\n",
    "    actual_work = isentropic_work / eta\n",
    "    h1 = h0 + actual_work\n",
    "    fluid.HP = h1, p_final\n",
    "    return actual_work\n",
    "\n",
    "\n",
    "#------------ turbine work function (also changes fluid)\n",
    "\n",
    "def turbine(fluid, p_final, eta):\n",
    "    \"\"\"Adiabatically expand a fluid to pressure p_final, using\n",
    "    a turbine with isentropic efficiency eta.\"\"\"\n",
    "    h0 = fluid.h\n",
    "    s0 = fluid.s\n",
    "    fluid.SP =s0, p_final\n",
    "    h1s = fluid.h\n",
    "    isentropic_work = h0 - h1s\n",
    "    actual_work = isentropic_work * eta\n",
    "    h1 = h0 - actual_work\n",
    "    fluid.HP = h1, p_final\n",
    "    return actual_work\n",
    "\n",
    "#------- State 1: saturated liquid\n",
    "\n",
    "w.TQ = T1, 0.0\n",
    "P1 = w.P\n",
    "s1 = w.s\n",
    "h1 = w.enthalpy_mass\n",
    "v1 = w.v\n",
    "\n",
    "#------- State 2: pump saturated liquid --> liquid\n",
    "pump_work = pump(w, Pmax, eta_pump)\n",
    "T2 = w.T\n",
    "P2 = w.P\n",
    "s2 = w.s\n",
    "h2 = w.h\n",
    "v2 = w.v\n",
    "\n",
    "#------- State 3: heat liquid --> saturated vapor, const P\n",
    "\n",
    "w.PQ = Pmax, 1.0\n",
    "T3 = w.T\n",
    "P3 = w.P\n",
    "s3 = w.s\n",
    "h3 = w.h\n",
    "v3 = w.v\n",
    "\n",
    "#------- State 4: superheat the vapor, const P\n",
    "\n",
    "w.TP = Tmax, Pmax\n",
    "T4 = w.T\n",
    "P4 = w.P\n",
    "s4 = w.s\n",
    "h4 = w.h\n",
    "v4 = w.v\n",
    "\n",
    "#------- State 5: expanded back to P1\n",
    "\n",
    "turbine_work = turbine(w, P1, eta_turbine)\n",
    "T5 = w.T\n",
    "P5 = w.P\n",
    "s5 = w.s\n",
    "h5 = w.h\n",
    "v5 = w.v\n",
    "\n",
    "#------- State 6: condense back to all liquid\n",
    "w.PQ = w.P, 0.0\n",
    "T6 = w.T\n",
    "P6 = w.P\n",
    "s6 = w.s\n",
    "h6 = w.h\n",
    "v6 = w.v\n",
    "\n",
    "#------- efficiency = work out / heat in\n",
    "\n",
    "work_out = turbine_work-pump_work\n",
    "heat_in  = h4-h2\n",
    "η = work_out/heat_in\n",
    "print(f\"cycle η = {η*100:.1f}%\")\n",
    "\n",
    "#--------------- curve between the points\n",
    "\n",
    "npts = 100\n",
    "\n",
    "P12 = np.linspace(P1, P2, npts)    # pump: vary p, const s\n",
    "T12 = np.zeros(npts)\n",
    "s12 = np.zeros(npts)\n",
    "v12 = np.zeros(npts)\n",
    "for i in range(npts):\n",
    "    w.TQ = T1, 0.0                 # reset w since pump updates it along path\n",
    "    _ = pump(w, P12[i], eta_pump)\n",
    "    T12[i] = w.T\n",
    "    s12[i] = w.s\n",
    "    v12[i] = w.v\n",
    "\n",
    "h24 = np.linspace(h1, h4, npts)    # heat: vary h, const p\n",
    "T24 = np.zeros(npts)\n",
    "s24 = np.zeros(npts)\n",
    "v24 = np.zeros(npts)\n",
    "P24 = np.zeros(npts)\n",
    "for i in range(npts):\n",
    "    w.HP = h24[i], P2\n",
    "    T24[i] = w.T\n",
    "    s24[i] = w.s\n",
    "    v24[i] = w.v\n",
    "    P24[i] = w.P\n",
    "    \n",
    "P45 = np.linspace(P4, P1, npts)    # turbine: vary p, const s\n",
    "T45 = np.zeros(npts)\n",
    "s45 = np.zeros(npts)\n",
    "v45 = np.zeros(npts)\n",
    "for i in range(npts):\n",
    "    w.TP = T4, P4                  # reset w since turbine updates it along path\n",
    "    _ = turbine(w, P45[i], eta_turbine)\n",
    "    T45[i] = w.T\n",
    "    s45[i] = w.s\n",
    "    v45[i] = w.v\n",
    "\n",
    "h56 = np.linspace(h5, h6, npts)    # condense: vary h, const p\n",
    "T56 = np.zeros(npts)\n",
    "s56 = np.zeros(npts)\n",
    "v56 = np.zeros(npts)\n",
    "P56 = np.zeros(npts)\n",
    "for i in range(npts):\n",
    "    w.HP = h56[i], P5\n",
    "    T56[i] = w.T\n",
    "    s56[i] = w.s\n",
    "    v56[i] = w.v\n",
    "    P56[i] = w.P\n",
    "\n",
    "#------------- make the plot\n",
    "    \n",
    "plt.rc('font', size=14)\n",
    "plt.plot(Ssat/1000,Tsat, ':', color='black', label='')\n",
    "plt.plot(s12/1000,T12,   color='orange', label='')\n",
    "plt.plot(s24/1000,T24,   color='blue',  label=r'Q$_{in}$, const P$_{max}$')\n",
    "plt.plot(s45/1000,T45,   color='red',   label='W$_{out}$, turbine')\n",
    "plt.plot(s56/1000,T56,   color='green', label='Q$_{out}$, const P$_{min}$')\n",
    "plt.ylim([200,1.1*Tmax])\n",
    "plt.xlabel('S (kJ/kg*K)')\n",
    "plt.ylabel('T (K)')\n",
    "plt.legend(frameon=False);\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"rankine1.pdf\");\n",
    "\n",
    "plt.figure()\n",
    "\n",
    "plt.plot(v12,P12/1000,   color='orange', label='W$_{in}$, pump')\n",
    "plt.plot(v24,P24/1000,   color='blue',  label=r'Q$_{in}$, const P$_{max}$')\n",
    "plt.plot(v45,P45/1000,   color='red',   label='W$_{out}$, turbine')\n",
    "plt.plot(v56,P56/1000,   color='green', label='Q$_{out}$, const P$_{min}$')\n",
    "plt.xlabel(r'v (m$^3$/kg)')\n",
    "plt.ylabel('P (kPa)')\n",
    "plt.legend(frameon=False);\n",
    "plt.xscale('log')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"rankine2.pdf\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ca7bf36e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "22810e6b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "02c03af5",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}