{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "143e9e19-0447-43a5-97ae-d2ba536aa977",
   "metadata": {},
   "source": [
    "# Synchronous Motors, Induction Motors and Power Factor Correction\n",
    "\n",
    "You will study induction motors later in the quarter.  They are the most common AC motors, because they have little to maintain (no brushes or slip rings) and are inexpensive to make.  Induction motors are essentially transformers whose secondary is allowed to spin in response to the primary rotating magnetic field.  The rotor is just a loop of wire (or sometimes many loops in a squirrel cage arrangement).  The loop of wire is the secondary of the transformer.  The rotor rotates, but not as fast as the armature field, because if it did catch up to the armature there would be no changing magnetic field, and so no current generated in the secondary, and so no forces on the rotor.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "696e4f93-6b3a-4120-8dde-8e3a5dff8e8d",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"800\"\n",
       "            height=\"600\"\n",
       "            src=\"https://www.youtube.com/embed/AQqyGNOP_3o\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "            \n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7fba1c0c9990>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo('AQqyGNOP_3o', width = 800, height=600)"
   ]
  },
  {
   "attachments": {
    "77c116ed-784f-4dce-a1f4-e333700f4d3c.png": {
     "image/png": 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"
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"
    }
   },
   "cell_type": "markdown",
   "id": "e75a0dc0-0e27-4499-856c-40b956f2e8dc",
   "metadata": {},
   "source": [
    "Like transformers, induction motors have a lot of inductance.  This causes a lot of reactive lagging current to flow and makes the power factor very poor.  The power company doesn't like this, so they charge large customers if their power factor is poor.  This means it must be corrected.  Recall in the Circuits Lab we had a small table top motor that we corrected the power factor on by adding parallel capacitors.  High voltage, high value capacitors are a bit expensive, and it is even more expensive to switch them in and out of circuit as the power factor changes in a plant, so having a continuously variable reactance is interesting to users of large induction motors. \n",
    "\n",
    "### Synchronous Condenser\n",
    "\n",
    "Condenser is another word for capacitor.  These can be very large, and are really used in the real world. \n",
    "\n",
    "![](https://upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Templestowe_Synchronous_Condenser_1.jpg/330px-Templestowe_Synchronous_Condenser_1.jpg) \n",
    "\n",
    "A synchronous motor run without a load makes a very nice variable reactive power generator.  It can replace a capacitor.  Let's try and understand why this works by considering a lossless synchronous motor, which isn't a terrible approximation, because with a synchronous condenser, they often fill it with a Hydrogen atmosphere which reduces windage, and in general are made as lossless as possible.  Recall that a synchronous machine has a rotating field created by three phase currents in the armature, \n",
    "\n",
    "![](https://www.renesas.com/sites/default/files/inline-images/fig4-sinusoidal-control-en.gif)\n",
    "\n",
    "and a stator whose electromagnetic flux is adjusted by adjusting the DC field current in the stator winding, $I_f$.  As with any motor there is a back EMF, $\\hat E_{af}$ generated as a result of Faraday's and Lenz's laws.  This is the AC that would be generated by the motor running as a generator.  The circuit model for one phase of a synchronous motor is an inductance between the applied phase voltage and the generated voltage.\n",
    "\n",
    "![image.png](attachment:9628b5f6-1309-4b46-a383-9cd8016b3d70.png)\n",
    "\n",
    "Since the motor is essentially lossless, we may ignore $R_a$, leaving us with $X_s$ only.  The torque angle is essentially zero degrees, because there is no loss to keep the rotor slightly delayed from the rotating magnetic field. The magnitude of $|\\hat E_{af}| = E_{af}$ can be increased by increasing the rotor's DC field current, $I_f$, because it increases the $\\mathbf B$ and so the magnetic flux, $\\phi$.  $E_{af}$ can be increased to be greater than the magnitude of the applied voltage, $|\\hat V_a| = V_a$, and can be decreased so it is less than $V_a$ easily by adjusting $I_f$.  Because the torque angle is zero, the angle of the generated voltage, $\\angle \\hat E_{af} = \\angle \\hat V_a$.  When $\\hat E_{af}$ is adjusted so $\\hat E_{af} = \\hat V_a$, the current $\\hat I_a = 0$.  This gives us a zero power out or in.  When $E_{af}$ is increased, the current $\\hat I_a$ is coming out of the synchronous condenser the opposite way the figure shows it above.  Furthermore, only VARs are produced (no watts), because there is no real power generated or lost by this \"lossless\" machine. Since $X_s$ is inductive, and the current switched directions it makes a current that would be produced normally by a capacitor (leading, not lagging as it would in an inductor normally), making the synchronous machine appear as a capacitor.  The amount of VARs produced can be adjusted by changing the DC field current, $I_f$.  Likewise if you reduce the DC field current, you will not swap the direction of the armature current $\\hat I_a$, and you will have a lagging power factor.  In real life there are some losses, but real curves show the same behavior, because the losses are small.  Here is a real set of curves.\n",
    "\n",
    "![image.png](attachment:77c116ed-784f-4dce-a1f4-e333700f4d3c.png) \n",
    "\n",
    "The lowest curve is the one to look at, as it is running there as a synchronous condenser (no mechanical load).  As you see, you can run a motor that you wish to use as a loaded motor too, not just as a synchronous capacitor (unloaded) and still correct the power factor, and in this case the power dumped into the motor is not zero at all, but you still see how the power factor can still be adjusted.  Note how the minimum current occurs when the power factor is corrected to unity.  If you are running in parallel an induction motor, you will want to adjust your synchronous capacitor to an over excited state (leading or capacitor mode). \n",
    "\n",
    "#### Questions\n",
    "* Why does it make a capacitor into an inductor when you change from a motor to a generator?\n",
    "* How do you remember leading means a capacitor, not an inductor?\n",
    "* Why is the torque angle zero in a synchronous condenser?\n",
    "* Why is the armature current, $\\hat I_a$ perpendicular to $\\hat V_a$ in a synchronous condenser?\n",
    "* Can a generator generate mostly VARs, and very few watts?"
   ]
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