SpaceVector_SPWM_AveragingForFullCycle.ipynb

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      "name": "python3",
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    {
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      "source": [
        "<a href=\"https://colab.research.google.com/github/bingsen-wang/PowerElectronics/blob/main/SpaceVector_SPWM_AveragingForFullCycle.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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    {
      "cell_type": "markdown",
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      },
      "source": [
        "<center><h1><b>Space Vector Averaging Switching Period by Switching Period</h1></b>\n",
        "\n",
        "Dr. Bingsen Wang\n",
        "\n",
        "7/17/2024\n",
        "</center>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Space Vector"
      ],
      "metadata": {
        "id": "mlJ4vEv60KCg"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "The space vector is complex variable defined as\n",
        "$$\\underline f = {2\\over3}\\left(f_a + f_be^{j\\frac{2\\pi}{3}} + f_ce^{j\\frac{4\\pi}{3}}\\right)\\tag{1}$$\n",
        "where $f_a,f_b,f_c$ are the three-phase variables. In electrical systems, the variable $f$ can be voltage $v$, current $i$, or flux linkage $\\lambda$. In power electronics systems, the variable $f$ can be the modulation function or switching function."
      ],
      "metadata": {
        "id": "C7_kB2GF0OKT"
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      "cell_type": "markdown",
      "metadata": {
        "id": "Hv0YxDrWU4h8"
      },
      "source": [
        "#Python Code\n",
        "The Python code illustrates the space vector averaged over a switching period."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 56,
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        "id": "XeGsHYTt8IXU",
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          "height": 1000
        },
        "outputId": "0ad22820-8109-411c-dc7a-5d9e1b5e8ad0"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 900x1600 with 3 Axes>"
            ],
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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import matplotlib\n",
        "from os import linesep\n",
        "from scipy import integrate\n",
        "import numpy as np\n",
        "from numpy import linspace,cos,sin,arccos,pi,exp\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.patches as mp\n",
        "from matplotlib import animation,rc,rcParams\n",
        "rc('animation', html='jshtml')\n",
        "plt.rcParams.update({\"font.family\":\"sans-serif\", \"mathtext.fontset\":\"cm\"})\n",
        "\n",
        "#carrier\n",
        "def carrier(t,fs):\n",
        "  return -2/pi*arccos(cos(2*pi*fs*t))+1\n",
        "\n",
        "#modulation functions\n",
        "def mf_abc(t,f,MI,theta):\n",
        "  mf=[]\n",
        "  for i in range(3):\n",
        "    mf.append(MI*cos(2*pi*f*t+theta-i*2*pi/3))\n",
        "  return np.array(mf)\n",
        "\n",
        "#modulation functions space vector\n",
        "def mf_sv(t,f,MI,theta):\n",
        "  mf=0\n",
        "  for i in range(3):\n",
        "    mf += MI*cos(2*pi*f*t+theta-i*2*pi/3)*exp(1j*i*2*pi/3)*2/3\n",
        "  return np.array(mf)\n",
        "\n",
        "#PWM voltage waveforms\n",
        "def vac_abc(t,V,f,MI,theta,fs):\n",
        "  vac=[]\n",
        "  for i in range(3):\n",
        "    vac.append(V*(2*np.heaviside(mf_abc(t,f,MI,theta)[i]-carrier(t,fs),0)-1))\n",
        "  return np.array(vac)\n",
        "\n",
        "#integration of space vector of pwm\n",
        "def sv_modulation_dt(t1,t2,f,MI,theta):\n",
        "  sv=0\n",
        "  for i in range(3):\n",
        "    v_dt = integrate.fixed_quad(lambda x: mf_abc(x,f,MI,theta)[i],t1,t2)\n",
        "    sv += 2/3*v_dt[0]*exp(1j*i*2*pi/3)\n",
        "  return sv\n",
        "\n",
        "#integration of space vector of pwm\n",
        "def sv_pwm_dt(t1,t2,V,f,MI,theta,fs):\n",
        "  sv=0\n",
        "  for i in range(3):\n",
        "    v_dt = integrate.fixed_quad(lambda x: vac_abc(x,V,f,MI,theta,fs)[i],t1,t2)\n",
        "    sv += 2/3*v_dt[0]*exp(1j*i*2*pi/3)\n",
        "  return sv\n",
        "\n",
        "#parameters\n",
        "Ns = 72 #number of switching periods per fundamental cycle\n",
        "f = 1/(2*pi) # fundamental frequency in Hz\n",
        "T = 1/f #fundamental period\n",
        "fs = 240*f #switching frequency\n",
        "Ts = 1/fs #switching period\n",
        "\n",
        "V = 2.4 #voltage\n",
        "MI=0.9 #modulation index\n",
        "theta=2*pi/Ns*linspace(0,Ns,Ns+1) #phase angle\n",
        "sv_ref=V*mf_sv(0,0,MI,theta)#trajectory of the reference space vector\n",
        "# print(sv_ref)\n",
        "xymax = 4.5\n",
        "clst=['tab:red','tab:blue','tab:brown','tab:green','tab:olive','tab:orange','k','w'] #colors light bg\n",
        "# clst=['lightskyblue','violet','yellow','lightgreen','tab:olive','tab:orange','w',(.1,.1,.1)] #colors dark bg\n",
        "fig = plt.figure(figsize=(9,16),facecolor=clst[-1])\n",
        "fig.tight_layout()\n",
        "ax=fig.add_axes((0.05,7/16,.9,.9*9/16),xlim=[-xymax,xymax], ylim=[-xymax,xymax],fc='none') #no fc\n",
        "ax0=fig.add_axes((0.05,7/16,.9,.9*9/16),xlim=[-xymax,xymax], ylim=[-xymax,xymax],fc='none') #no fc for animated parts\n",
        "ax1=fig.add_axes((0.05,0,.9,7/16),xlim=[-.1,2*xymax-.1], ylim=[-xymax*7/9,xymax*7/9],fc='none') #no fc\n",
        "ax.axis('off') #turn off axis frames\n",
        "ax1.axis('off') #turn off axis frames\n",
        "ax.annotate(\"\", (xymax, 0), (-xymax, 0),arrowprops={'arrowstyle':\"->\",'color':clst[-2]}) #x-axis for space vector\n",
        "ax.annotate(\"\", (0,xymax), (0,-xymax),arrowprops={'arrowstyle':\"->\",'color':clst[-2]}) #y-axis for space vector\n",
        "ax1.annotate(\"\", (2*xymax-.2, 0), (-.1, 0),arrowprops={'arrowstyle':\"->\",'color':clst[-2]}) #x-axis for voltages\n",
        "ax1.annotate(\"\", (0,xymax*7/9), (0,-xymax*7/9),arrowprops={'arrowstyle':\"->\",'color':clst[-2]}) #y-axis for voltages\n",
        "ax.text(xymax,-.03,'$Re$',size=24,va='top',ha='right',color=clst[-2]) #x-axis label\n",
        "ax.text(0.01,xymax,'$Im$',size=24,va='top',color=clst[-2]) #y label\n",
        "ax.text(-xymax*.5,xymax*.87,'Space Vectors',size=24,ha='center',color=clst[-2]) #space vector label\n",
        "ax.text(-xymax*.5,xymax*.72,r'$v\\underbar = \\frac{2}{3}\\left(v_a + v_b e^{j\\frac{2\\pi}{3}}+ v_c e^{j\\frac{4\\pi}{3}}\\right)$',\n",
        "        size=24,ha='center',color=clst[-2])\n",
        "ax.text(-xymax*.5,xymax*.6,r'${v\\underbar}^* = \\frac{2}{3}\\left(v_a^* + v_b^* e^{j\\frac{2\\pi}{3}}+ v_c^* e^{j\\frac{4\\pi}{3}}\\right)$',\n",
        "        size=24,ha='center',color=clst[-2])\n",
        "ax.text(xymax*.5,xymax*.87,'Averaged Space Vectors',size=22,ha='center',color=clst[-2]) #space vector label\n",
        "ax.text(xymax*.5,xymax*.66,r'$\\left<v\\underbar\\right> = \\frac{1}{T_s}\\int_0^t v\\underbar dt;$ ',\n",
        "        size=22,ha='right',color=clst[5])\n",
        "ax.text(xymax*.5,xymax*.66,r' $\\left<v\\underbar^*\\right> = \\frac{1}{T_s}\\int_0^t v\\underbar^* dt$',\n",
        "        size=22,ha='left',color=clst[-2])\n",
        "\n",
        "\n",
        "lines = [] #array containing all the line plots\n",
        "lines.append(ax.plot([], [], '-', lw=5, color=clst[4],alpha=.9)[0]) #flux linkage trajectory\n",
        "lines.append(ax.plot([], [], '--', lw=2, color=clst[-2],alpha=.9)[0]) #ref vector trajectory\n",
        "for i in range(3):\n",
        "  lines.append(ax1.plot([], [], '-', lw=3-i, color=clst[i],alpha=1)[0]) #v_a,v_b,v_c PWM\n",
        "  lines.append(ax1.plot([], [], '--', lw=3-i, color=clst[i],alpha=.8)[0]) #v_a,v_b,v_c modulation\n",
        "lines.append(ax1.plot([], [], '-', lw=1, color=clst[-2], alpha=.7)[0]) #carrier\n",
        "labels_vabc = [r'$v_a$',r'$v_b$',r'$v_c$']\n",
        "labels_vabc_star = [r'$v_a^*$',r'$v_b^*$',r'$v_c^*$']\n",
        "labels_vabc_star1 = [r'$v_a^* = V\\cos(\\theta)$;',\n",
        "                     r'$v_b^*=V\\cos\\left(\\theta-\\frac{2\\pi}{3}\\right)$;',\n",
        "                     r'$v_c^*=V\\cos\\left(\\theta+\\frac{2\\pi}{3}\\right)$']\n",
        "text_vabc_star =[]\n",
        "for i in range(3):\n",
        "  ax1.text(i,xymax*6.5/9,labels_vabc[i],size=40,color=clst[i]) #vabc\n",
        "  ax1.text(i*2.6,xymax*5.5/9,labels_vabc_star1[i],size=20,color=clst[i]) #vabc\n",
        "  text_vabc_star.append(ax1.text(0,0,labels_vabc_star[i],\n",
        "                                 size=35,va='center',color=clst[i])) #vabc_star\n",
        "\n",
        "ax1.text(2*xymax-.1,-.03,r'$t$',size=24,va='top',ha='right', color=clst[-2]) #x-axis label\n",
        "text_theta = ax.text(-.5*xymax,-.5*xymax,'',size=35,va='center',ha='center', color=clst[-2])\n",
        "\n",
        "def drawVectors(ax,xymax,lambda_sv,lambda_star_sv,theta,clst):\n",
        "  theta_l = np.angle(lambda_sv)\n",
        "  ax.clear()\n",
        "  ax.set_xlim([-xymax,xymax])\n",
        "  ax.set_ylim([-xymax,xymax])\n",
        "  ax.axis('off')\n",
        "  arr = mp.FancyArrow(0,0,lambda_sv.real, lambda_sv.imag, width=.06,length_includes_head=True,\n",
        "                   color=clst[5]) #space vector lambda_sv\n",
        "  ax.add_patch(arr)\n",
        "  arr = mp.FancyArrow(0,0,lambda_star_sv.real, lambda_star_sv.imag, width=.04,length_includes_head=True,\n",
        "                   color=clst[-2]) #space vector lambda_star_sv\n",
        "  ax.add_patch(arr)\n",
        "  arc = mp.Arc((0,0),1,1,theta2=theta*180/pi)\n",
        "  ax.add_patch(arc)\n",
        "  ax.text(cos(theta/2)*.5,sin(theta/2)*.5,r'$\\theta={:.1f}^\\circ$'.format(theta*180/pi),size=20)\n",
        "\n",
        "  t2 = ax.text(lambda_sv.real,lambda_sv.imag,r'$\\left<v\\underbar\\right>$',\n",
        "               size = 30, color=clst[5])\n",
        "  t3 = ax.text(lambda_star_sv.real,lambda_star_sv.imag,r'$\\left<v\\underbar^*\\right>$',\n",
        "               size = 30, color=clst[-2])\n",
        "  if theta<pi/2:\n",
        "    t2.set_ha('right')\n",
        "    t3.set_va('top')\n",
        "  elif theta<pi/2:\n",
        "    t2.set_va('bottom')\n",
        "    t3.set_ha('right')\n",
        "  elif theta<3*pi/2:\n",
        "    t2.set_va('top')\n",
        "    t3.set_ha('right')\n",
        "  else:\n",
        "    t2.set_ha('left')\n",
        "    t3.set_va('top')\n",
        "  return\n",
        "\n",
        "# animation function. This is called sequentially\n",
        "def animate(i):\n",
        "  if i%5==0: #for monitoring the progress\n",
        "    print(i)\n",
        "  # i=60\n",
        "\n",
        "  Npts = 300\n",
        "  t=linspace(0,Ts,Npts)\n",
        "  wt = 2*pi*f*t\n",
        "  carr= V*carrier(t,fs) #carrier ranges [-1,1]\n",
        "  vabc_modulation=V*mf_abc(t,f*0,MI,theta[i])\n",
        "  vabc_pwm = vac_abc(t,V,f,MI,theta[i],fs)\n",
        "  v_sv = 2/3*(vabc_pwm[0]+vabc_pwm[1]*exp(1j*2*pi/3)+vabc_pwm[2]*exp(1j*4*pi/3))\n",
        "  lambda_sv=[0] #averaged space vector of pwm\n",
        "  for k in range(1,Npts):\n",
        "    lambda_sv.append(sv_pwm_dt(t[k-1],t[k],V,f,MI,theta[i],fs) + lambda_sv[-1])\n",
        "  lambda_sv=np.array(lambda_sv)/Ts\n",
        "  lambda_star_sv=2/3*(vabc_modulation[0]+vabc_modulation[1]*exp(1j*2*pi/3)+vabc_modulation[2]*exp(1j*4*pi/3))\n",
        "\n",
        "  lines[0].set_data(lambda_sv.real,lambda_sv.imag) #flux linkage trajectory\n",
        "  lines[1].set_data(sv_ref[:i+1].real,sv_ref[:i+1].imag) #flux linkage trajectory\n",
        "  for k in range(3):\n",
        "    lines[2*k+2].set_data(t/max(t)*xymax*1.7,vabc_pwm[k]) #v_a,v_b,v_c PWM\n",
        "    lines[2*k+3].set_data(t/max(t)*xymax*1.7,vabc_modulation[k]) #v_abc modulation\n",
        "    text_vabc_star[k].set_position((t[-1]/max(t)*xymax*1.7,vabc_modulation[k,0])) #vabc_star\n",
        "  lines[8].set_data(t/max(t)*xymax*1.7,carr) #carrier\n",
        "  drawVectors(ax0,xymax,lambda_sv[-1],lambda_star_sv[-1],theta[i],clst)\n",
        "  return\n",
        "\n",
        "anim = animation.FuncAnimation(fig, animate, frames=Ns+1, interval=50)\n",
        "fn = r\"SpaceVector_AveragingFullCycle.mp4\"\n",
        "writervideo = animation.FFMpegWriter(fps=3)\n",
        "anim.save(fn, writer=writervideo,dpi = 200)"
      ]
    }
  ]
}