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    "## <a href=\"http://www.inri.ufsm.br\"> <img src=\"logos.jpg\" width=\"400\" align=\"right\"> </a>\n",
    "\n",
    "# Price-Based Power Management (PBPM)\n",
    "\n",
    "\n",
    "Authors:  Lucas Vizzotto Bellinaso,  Edivan Carvalho, Leandro Michels\n",
    "<br>Grupo de Eletrônica de Potência e Controle\n",
    "<br>Instituto de Redes Inteligentes\n",
    "<br>Universidade Federal de Santa Maria, RS, Brasil\n",
    "\n",
    "\n",
    "Stored on GitHub: https://github.com/lucasbellinaso/pbpm\n",
    "<br>Run on Binder: https://mybinder.org/v2/gh/lucasbellinaso/pbpm/master\n",
    "\n",
    "\n",
    "Previous paper:<br> <a href=\"https://doi.org/10.1049/iet-rpg.2015.0472\">\n",
    "    L.V. Bellinaso, C. D. Schwertner, L. Michels. Price-based power management of off-grid photovoltaic systems with centralised dc bus. IET Renewable Power Generation. v.10. issue 8. pp 1132-1139. sept 2016.  </a>\n",
    "\n",
    "## Problem Definition\n",
    "\n",
    "The Price-Based Power Management is a \n",
    "\n",
    "## Price-Response Matrixes (PRMs)\n",
    "\n",
    "\n",
    "\n",
    "## Example:  C code for DSP implementation\n",
    "\n",
    "Example: off-grid system comprised of a PV generator, Battery with two Operation Conditions (SOC range), and a Load. System description and experimental results are in <a href=\"https://doi.org/10.1049/iet-rpg.2015.0472\">this paper </a>.\n",
    "\n",
    "### Price calculation\n",
    "\n",
    "This part is composed of the price calculation, which depends on dc bus voltage. Dc bus voltage is monitored and two events must be detected: 1) when dc bus voltage $v_{dc}$ exceeds a high comparison level ($v_{h1}$, $v_{v2}$,..., $v_{hN}$); 2)  when dc bus voltage $v_{dc}$ falls below a low comparison level ($v_{l1}$, $v_{l2}$,..., $v_{lN}$).  Price is decremented when the first event occurs, and incremented when the second event occurs.\n",
    "    \n",
    "    \n",
    "```c\n",
    "const int price_range[] = {-1, 3};   //price range, from -1 to 3\n",
    "int price = 5;                       //initial price, begining \n",
    "int index_price = price-price_range[0];   //the index is used to access the PRMs\n",
    "\n",
    "//Dc bus voltage is monitored two functions are defined:\n",
    "void vdc_bus_increase {    //interruption generated when vdc exceeds vh1, vh2, ..., or vhN.\n",
    "    price--;   //price is decremented\n",
    "    if (price<price_range[0]) price = price_range[0];  //price limitation    \n",
    "}\n",
    "void vdc_bus_decrease {    //interruption generated when vdc falls bellow vl1, vl2, ..., or vhN.\n",
    "    price++;   //price is incremented\n",
    "    if (price>price_range[1]) price = price_range[1];  //price limitation\n",
    "}\n",
    "\n",
    "```\n",
    "\n",
    "### Elements operation mode definition\n",
    "```c\n",
    "//PV generator configuration\n",
    "    //Operation Modes: 0: off;  1: DCBVR;   2: MPPT\n",
    "const int PRM_PV[] = {0, 1, 2, 2, 2};    \n",
    "int PV_mode = PRM_PV[index_price];\n",
    "\n",
    "//Battery configuration - it has  2 Operation Conditions (O.C.), dependent on the State of Charge (SOC)\n",
    "     //Operation Modes: -2: charge max;  -1: charge DCBVR; 0: off;  1: discharge DCBVR;  2: discharge max\n",
    "const int PRM_Bat[][] = {{-2, -2, -1, 0, 0},{-2, -2, -1, 1, 2}};  \n",
    "int SOC_range = 0  //SOC_range is the Operation Condition.  \n",
    "int Bat_mode = PRM_Bat[SOC_range][index_price];   \n",
    "\n",
    "//Load configuration:\n",
    "    //Operation Modes: -2: on;   0: off;     8: keeps the last operation mode (latch)\n",
    "           //Operation mode -2 can only be set by the Energy Management System or the user\n",
    "const int PRM_Load[] = {8, 8, 8, 8, 0};\n",
    "int Load_mode = PRM_Load[index_price];\n",
    "\n",
    "void PERIODIC_INTERRUPT_OPERATION_MODES()  //periodic interruption generated to modify operation modes\n",
    "    {    \n",
    "    index_price = price-price_range[0]; \n",
    "    \n",
    "    //The PV mode is accessed by the index inside its PRM:\n",
    "    PV_mode = PRM_PV[index_price];\n",
    "    \n",
    "    //Battery operation mode is dependent on the Operation Condition, named SOC_range.\n",
    "            //SOC_range = 0 when SOC<20%, and  SOC_range = 1 when SOC>20%\n",
    "    Bat_mode = PRM_Bat[SOC_range][index_price];  \n",
    "    \n",
    "    //Load operation mode:\n",
    "    if (PRM_Load[index_price]!=8) Load_mode = PRM_Load[index_price];  //keeps the last operation mode (-2 or 0)\n",
    "    }\n",
    "\n",
    "```\n",
    "\n",
    "Run the code below to set-up the desired system and calculate the Price Response Matrixes of the power elements (i.e. sources, loads and bidirectional).\n"
   ]
  },
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Quantify the total number of power elements of system (i.e. all sources / loads / bidirectional converters):\n"
     ]
    },
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       "IntSlider(value=3, continuous_update=False, description='Quantity:', max=10, min=1)"
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     "output_type": "stream",
     "text": [
      "Set overall system energy price range (use currency values):\n"
     ]
    },
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       "HBox(children=(Label(value='Overall min price ($/kWh):'), BoundedFloatText(value=-0.1, layout=Layout(width='7%…"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Configure each element individually:\n"
     ]
    },
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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "46a8020302f741dbbc21cddf72fa6923",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Button(description='Calculate PRMs', style=ButtonStyle(button_color='lightgreen'))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price Response Matrixes:\n",
      "\n",
      "\n",
      "Price vector: \n",
      " [-1  0  1  2] \n",
      "\n",
      "\n",
      " PRM:\n",
      " [[0 1 2 2]] \n",
      "\n",
      "\n",
      " PRM:\n",
      " [[0 0 1 2]] \n",
      "\n",
      "\n",
      " PRM:\n",
      " [[0 0 0 1]] \n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from __future__ import print_function\n",
    "from ipywidgets import interact, interactive, fixed, interact_manual, HBox, Label, Layout\n",
    "from IPython.display import display, clear_output\n",
    "import ipywidgets as widgets\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "\n",
    "Mvf=np.asarray([])\n",
    "price_vector=np.asarray([])\n",
    "\n",
    "class Element:\n",
    "    def __init__(self,name,slb,ctrl,div):\n",
    "        self.name = name\n",
    "        self.slb = slb\n",
    "        self.ctrl = ctrl\n",
    "        self.div = div\n",
    "        self.PRM = np.zeros((div,3))\n",
    "        self.buyprice= list(range(div))\n",
    "        self.sellprice= list(range(div))\n",
    "        self.iMR={\"Load\":np.zeros(6).astype(int),\"Source\":np.zeros(6).astype(int)}\n",
    "        self.price_widget = list(range(div))   #stores the number of price widget\n",
    "        self.a = widgets.Text(placeholder='Set element label', value=self.name, description='Label:',  disabled=False)\n",
    "        self.b = widgets.ToggleButtons(options=['Source', 'Load', 'Bidirectional'], value=self.slb, description='Power flow:', disabled=False,  button_style='', tooltips=['A source element supplies energy to the DC bus.', 'A load element sinks energy from the DC bus.', 'A bidirectional element is both load and source.'])\n",
    "        self.c = widgets.ToggleButtons(options=['Linear Regulator', 'Not Regulator'], description='DCBVR type:', disabled=False,  button_style='', tooltips=['When the element can be actively controlled to adjust output power to achieve DCBVR.', 'When the output power is not controlled to achieve DCBVR.'])\n",
    "        self.d = widgets.Dropdown(options=['1', '2', '3', '4', '5', '6'],value='1', description='Quantity:', disabled=False,layout=Layout(width='16%'))\n",
    "        self.values_buy = [widgets.BoundedFloatText(value=0,mstep=0.01,description=\"OC #{}:\".format(q+1),disabled=True,layout=Layout(width='60%')) for q in range(div)]\n",
    "        self.values_sell = [widgets.BoundedFloatText(value=0,mstep=0.01,description=\"OC #{}:\".format(q+1),disabled=False,layout=Layout(width='60%')) for q in range(div)]\n",
    "        self.values_box = widgets.HBox([widgets.VBox([Label(\"Max buy price (R$/kWh):\"), widgets.VBox(self.values_buy)]), widgets.VBox([Label(\"Min sell price (R$/kWh):\"), widgets.VBox(self.values_sell)])])\n",
    "        self.a.observe(self.update_properties,'value')\n",
    "        self.b.observe(self.update_properties,'value')\n",
    "        self.c.observe(self.update_properties,'value')\n",
    "        self.d.observe(self.update_properties,'value')\n",
    "        self.update_flag=False\n",
    "    def __str__(self):\n",
    "        return \"Name: {0}. Type: {1} {2}. Divisions: {3}\\n\".format(self.name, self.ctrl, self.slb, self.div)\n",
    "    def update_properties(self, *args):\n",
    "        self.name = self.a.value\n",
    "        self.update_flag=False\n",
    "        if (self.slb != self.b.value) or (self.div != int(self.d.value)):\n",
    "            self.update_flag=True\n",
    "        self.slb = self.b.value\n",
    "        self.ctrl = self.c.value\n",
    "        if self.div<int(self.d.value):\n",
    "            self.values_buy.extend([widgets.BoundedFloatText(value=0,mstep=0.01,description=\"OC #{}:\".format(q+1),disabled=True, layout=Layout(width='60%')) for q in range(self.div,int(self.d.value))])\n",
    "            self.values_sell.extend([widgets.BoundedFloatText(value=0,mstep=0.01,description=\"OC #{}:\".format(q+1),disabled=False, layout=Layout(width='60%')) for q in range(self.div,int(self.d.value))])\n",
    "        if self.div>int(self.d.value):\n",
    "            del self.values_buy[int(self.d.value):self.div]\n",
    "            del self.values_sell[int(self.d.value):self.div]\n",
    "        for q in range(int(self.d.value)):\n",
    "            self.values_buy[q].disabled = True if (self.slb == \"Source\") else False\n",
    "            self.values_sell[q].disabled = True if (self.slb == \"Load\") else False\n",
    "        self.values_box = widgets.HBox([widgets.VBox([Label(\"Max buy price (R$/kWh):\"), widgets.VBox(self.values_buy)]), widgets.VBox([Label(\"Min sell price (R$/kWh):\"), widgets.VBox(self.values_sell)])])\n",
    "        self.div = int(self.d.value)\n",
    "        if self.update_flag==True:\n",
    "            screen_app.update_screen()\n",
    "    def set_values(self):\n",
    "        self.buyprice = [self.values_buy[d].value for d in range(self.div)]\n",
    "        self.sellprice = [self.values_sell[d].value for d in range(self.div)]   \n",
    "    def correct_values(self):\n",
    "        for d in range(self.div):\n",
    "            self.values_buy[d].min = min_price.value\n",
    "            self.values_buy[d].max = max_price.value\n",
    "            self.values_sell[d].max = max_price.value\n",
    "            self.values_sell[d].min = min_price.value\n",
    "            if ((self.values_buy[d].value > self.values_sell[d].value)) and (self.slb==\"Bidirectional\"):\n",
    "                self.values_buy[d].value = self.values_sell[d].value\n",
    "    def calculate_PRM(self, colunas):\n",
    "        self.PRM = (9*np.ones((self.div, colunas))).astype(int)  #init\n",
    "        MRdict = {\"LoadNot Regulator\":0, \"LoadLinear Regulator\":-1, \"SourceNot Regulator\":8, \"SourceLinear Regulator\":1, \"BidirectionalLinear Regulator\":11, \"BidirectionalNot Regulator\":0}\n",
    "        MRbefore =  {\"LoadNot Regulator\":8, \"LoadLinear Regulator\":-2,\"SourceLinear Regulator\":0,\"SourceNot Regulator\":0,\"BidirectionalLinear Regulator\":-2,\"BidirectionalNot Regulator\":8}\n",
    "        MRafter =  {\"LoadNot Regulator\":0, \"LoadLinear Regulator\":0,\"SourceLinear Regulator\":2,\"SourceNot Regulator\":8,\"BidirectionalLinear Regulator\":2,\"BidirectionalNot Regulator\":8}    \n",
    "        key = self.slb+self.ctrl\n",
    "        for q in range(self.div):\n",
    "            if (self.slb != \"Bidirectional\") or (self.iMR[\"Load\"][q]==self.iMR[\"Source\"][q]):\n",
    "                iMR = self.iMR[\"Load\"][q] if (self.slb==\"Bidirectional\") else self.iMR[self.slb][q]\n",
    "                self.PRM[q,:] = (np.concatenate((MRbefore[key]*np.ones((1,iMR-1)), MRdict[key]*np.ones((1,1)), MRafter[key]*np.ones((1,colunas-iMR))),axis=1)).astype(int)\n",
    "            else:           #Bidirectional with 5 parts\n",
    "                iMR1=self.iMR[\"Load\"][q]\n",
    "                iMR2=self.iMR[\"Source\"][q]\n",
    "                MR1 = MRdict[\"Load\"+self.ctrl]*np.ones((1,1))\n",
    "                MR2 = MRdict[\"Source\"+self.ctrl]*np.ones((1,1))\n",
    "                part1 = MRbefore[key]*np.ones((1,iMR1-1))\n",
    "                part3 = np.zeros((1,iMR2-iMR1-1))\n",
    "                part5 = MRafter[key]*np.ones((1,colunas-iMR2)) \n",
    "                self.PRM[q,:] = (np.concatenate((part1, MR1, part3, MR2, part5),axis=1)).astype(int)\n",
    "        \n",
    "def create_system_matrixes():    \n",
    "    global Mvf, price_vector\n",
    "    Mv0=[]\n",
    "    Mvf=np.asarray([])\n",
    "    for el_num in range(number.value):   #total elements\n",
    "        elements[el_num].set_values()  #insert price values in element instances:\n",
    "        for div in range(elements[el_num].div):\n",
    "            if elements[el_num].slb is 'Source':\n",
    "                Mv0.append([elements[el_num].name, el_num+1, elements[el_num].slb, elements[el_num].ctrl,  elements[el_num].div, div+1, 'Source', elements[el_num].sellprice[div]])\n",
    "            elif elements[el_num].slb is 'Load':\n",
    "                Mv0.append([elements[el_num].name, el_num+1, elements[el_num].slb, elements[el_num].ctrl,  elements[el_num].div, div+1, 'Load', elements[el_num].buyprice[div]])\n",
    "            else:\n",
    "                Mv0.append([elements[el_num].name, el_num+1, elements[el_num].slb, elements[el_num].ctrl,  elements[el_num].div, div+1, 'Source', elements[el_num].sellprice[div]])\n",
    "                Mv0.append([elements[el_num].name, el_num+1, elements[el_num].slb, elements[el_num].ctrl,  elements[el_num].div, div+1, 'Load', elements[el_num].buyprice[div]])\n",
    "    Mv1=np.asarray(Mv0)\n",
    "    Mv1=Mv1[Mv1[:,7].argsort()] ;   #put prices in ascending order\n",
    "    Nrows = Mv1.shape[0]\n",
    "    Mvf=np.hstack((Mv1,np.zeros((Nrows,1))))    #increase size of Mvf\n",
    "    #Defining prices:\n",
    "    if float(Mvf[0,7]) <= 0 :\n",
    "        Mvf[0,8] = 0\n",
    "    else:\n",
    "        Mvf[0,8] = 1\n",
    "    for q in range(1,Nrows):     \n",
    "        #condition1 =  ( Mvf[q,1] != Mvf[q-1,1])   #different element\n",
    "        #condition2 = (Mvf[q,7] != Mvf[q-1,7])    #different prices\n",
    "        #condition3 =  ((Mvf[q,3] == \"Controller\") or (Mvf[q-1,3] == \"Controller\"))  #one is controller\n",
    "        #if condition1 and (condition2 or condition3):  # dif. element and (diferent prices or one controller)\n",
    "        if (   ((Mvf[q,7]!=Mvf[q-1,7])and not((Mvf[q,1]==Mvf[q-1,1])and(Mvf[q,5]!=Mvf[q-1,5]))  )   or   ((Mvf[q,1]!=Mvf[q-1,1]) and (Mvf[q,3]==\"Linear Regulator\") and (Mvf[q-1,3]==\"Linear Regulator\") ) ):\n",
    "            Mvf[q,8] = int(Mvf[q-1,8])+1\n",
    "        else:   #equal element or (different element and equal prices and not both controllers)\n",
    "            Mvf[q,8] = int(Mvf[q-1,8])\n",
    "    price_vector=np.arange(int(Mvf[0,8])-1,int(Mvf[Nrows-1,8])+1)\n",
    "    print(\"Price vector: \\n\",price_vector,\"\\n\\n\")\n",
    "    for q in range(Nrows):  #update indexes iMR for PRMs inside  elements\n",
    "        elements[int(Mvf[q,1])-1].iMR[Mvf[q,6]][int(Mvf[q,5])-1]=int(Mvf[q,8])-price_vector[0]+1\n",
    "    for el_num in range(number.value):\n",
    "        elements[el_num].calculate_PRM(price_vector.shape[0]) #calculate PRMs\n",
    "        print(elements[el_num].name,\"PRM:\\n\", elements[el_num].PRM,\"\\n\\n\")\n",
    "        \n",
    "        \n",
    "button1 = widgets.Button(description=\"Update graph\")\n",
    "button1.style.button_color = 'lightgreen'\n",
    "def on_button1_clicked(b):\n",
    "    screen_app.update_screen()\n",
    "button1.on_click(on_button1_clicked)\n",
    "\n",
    "button2 = widgets.Button(description=\"Calculate PRMs\")\n",
    "button2.style.button_color = 'lightgreen'\n",
    "def on_button2_clicked(b):\n",
    "    screen_app.button2click = True\n",
    "    screen_app.update_screen()\n",
    "button2.on_click(on_button2_clicked)\n",
    "    \n",
    "    \n",
    "class Screen_class:\n",
    "    def __init__(self,x):\n",
    "        self.x=x\n",
    "        self.button2click=False\n",
    "        self.tab=widgets.Tab()\n",
    "    def update_screen(self):\n",
    "        clear_output()\n",
    "        print(\"Quantify the total number of power elements of system (i.e. all sources / loads / bidirectional converters):\")\n",
    "        display(number)\n",
    "        print(\"Set overall system energy price range (use currency values):\")\n",
    "        display(widgets.HBox([Label(\"Overall min price ($/kWh):\"),min_price,Label(\"Overall max price ($/kWh):\"),max_price]))\n",
    "        print(\"\\nConfigure each element individually:\")\n",
    "        self.tab.children = [widgets.VBox([elements[el_num].a, elements[el_num].b,Label(\"May this element provide DC Bus Voltage Regulation (DCBVR)?\"), elements[el_num].c, Label(\"Quantify the number of possible operational conditions (OC) for this element (i.e. different range of prices):\"),elements[el_num].d, elements[el_num].values_box])  for el_num in range(number.value)]\n",
    "        for i in range(len(self.tab.children)):\n",
    "            self.tab.set_title(i, \"Element {}\".format(i+1))\n",
    "        display(self.tab)\n",
    "        display(button1)\n",
    "        for el_num in range(number.value):\n",
    "            elements[el_num].correct_values()\n",
    "        update_graphs()\n",
    "        display(button2)\n",
    "        if self.button2click is True:\n",
    "            self.button2click=False\n",
    "            print(\"Price Response Matrixes:\\n\\n\")\n",
    "            create_system_matrixes()\n",
    "\n",
    "\n",
    "screen_app = Screen_class(0)\n",
    "elements = [Element(\"\",\"Source\",\"Linear Regulator\",1), Element(\"\",\"Source\",\"Linear Regulator\",1), Element(\"\",\"Source\",\"Linear Regulator\",1)]\n",
    "number = widgets.IntSlider(value=3, min=1, max=10, step=1, description='Quantity:', disabled=False,continuous_update=False, orientation='horizontal', readout=True, readout_format='d')\n",
    "min_price = widgets.BoundedFloatText(value=-0.1,min=-10,step=0.01,disabled=False,layout=Layout(width='7%'))\n",
    "max_price = widgets.BoundedFloatText(value=5,min=0,step=0.01,disabled=False,layout=Layout(width='7%'))\n",
    "def update_min_price(*args):\n",
    "    max_price.min=min_price.value\n",
    "def update_max_price(*args):\n",
    "    min_price.max=max_price.value\n",
    "def update_element_number(*args):\n",
    "    if len(elements)>number.value:\n",
    "        del elements[(number.value):(len(elements)-1)]\n",
    "    elif len(elements)<number.value:\n",
    "        for q in range(number.value-len(elements)):\n",
    "            elements.append(Element(\"\",\"Source\",\"Linear Regulator\",1))\n",
    "    screen_app.update_screen()\n",
    "min_price.observe(update_min_price, 'value')\n",
    "max_price.observe(update_max_price,'value')\n",
    "number.observe(update_element_number,'value')\n",
    "\n",
    "def update_graphs():\n",
    "    fig, ax = plt.subplots()\n",
    "    for el_num in range(number.value):\n",
    "        ywidth = 6/float(elements[el_num].div)\n",
    "        if elements[el_num].ctrl == \"Linear Regulator\":\n",
    "            colors=['red','blue']\n",
    "        else:\n",
    "            colors=['salmon', 'lightblue']\n",
    "        for d in range(elements[el_num].div):\n",
    "            ypos = (7+10*(number.value-el_num-1)+(elements[el_num].div-d-1)*ywidth)\n",
    "            if (elements[el_num].slb is \"Source\") or (elements[el_num].slb is \"Bidirectional\"):\n",
    "                xpos = elements[el_num].values_sell[d].value\n",
    "                ax.broken_barh([(xpos,max_price.value)],(ypos,ywidth*0.8),facecolors=colors[1])\n",
    "            if (elements[el_num].slb is \"Load\") or (elements[el_num].slb is \"Bidirectional\"):\n",
    "                xpos = elements[el_num].values_buy[d].value-min_price.value\n",
    "                ax.broken_barh([(min_price.value,xpos)],(ypos,ywidth*0.8),facecolors=colors[0])        \n",
    "    ax.set_ylim(0, 15+10*(number.value))\n",
    "    ax.set_xlim(min_price.value, max_price.value)\n",
    "    ax.set_xlabel('Price in real currency (R$)')\n",
    "    ax.legend(handles=[mpatches.Patch(color='red', label='Load operation (mode= -2)'), mpatches.Patch(color='salmon', label='Load operation (set by EMS, mode=8)'), mpatches.Patch(color='blue', label='Source operation (mode=+2)'), mpatches.Patch(color='lightblue', label='Source operation (set by EMS, mode=8)')])\n",
    "    ax.set_yticks([10+10*(number.value-el_num-1) for el_num in reversed(range(number.value))])\n",
    "    ax.set_yticklabels([str(el_num+1)+') '+elements[el_num].name for el_num in reversed(range(number.value))])\n",
    "    ax.grid(True,axis='x')\n",
    "    plt.gcf().set_size_inches(10, 5+0.5*number.value*(number.value>5))\n",
    "    plt.title('Prices for buying (load) and/or selling (source) energy (R$/kWh)')\n",
    "    plt.show()\n",
    "    \n",
    "screen_app.update_screen()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "(   ((Mvf[q,7]!=Mvf[q-1,7])and not((Mvf[q,1]==Mvf[q-1,1])and(Mvf[q,5]!=Mvf[q-1,5]))  )   or   ((Mvf[q,1]!=Mvf[q-1,1]) and (Mvf[q,3]==\"Controller\") and (Mvf[q-1,3]==\"Controller\") ) )\n",
    "# Mvf(5,c) -> Mvf[q,7]\n",
    "# Mvf(1,c) -> Mvf[q,1]\n",
    "# Mvf(2,c) -> Mvf[q,5]\n",
    "# Mvf(4,c) -> Mvf[q,3]\n",
    " #   if (   ((Mvf(5,c)~=Mvf(5,c-1))&~((Mvf(1,c)==Mvf(1,c-1))&(Mvf(2,c)~=Mvf(2,c-1))))|((Mvf(1,c)~=Mvf(1,c-1))& Mvf(4,c)& Mvf(4,c-1) ) )\n"
   ]
  }
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