Python and Power Electronics: Loop identification

Time for some testing.

Circuit 1 - Single phase diode rectifier

Result:

>>>
Number of nodes 6
Number of branches 9
Number of loops 5
**************************************************
1K 2K 3K 4K 5K 6K 7K 8K 9K 10K 11K 11L 11M 10M 9M 8M 7M 6M 5M 4M 3M 2M 1M 1L 1K
1K 1J 1I 2I 3I 4I 5I 6I 7I 8I 9I 10I 11I 11J 11K 10K 9K 8K 7K 6K 5K 4K 3K 2K 1K
1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 11F 11G 11H 11I 11J 11K 10K 9K 8K 7K 6K 5K 4K 3K 2K 1K
1K 1J 1I 2I 3I 4I 5I 6I 6H 7B 7A 6A 5A 5B 5C 5D 5E 6E 7E 8E 9E 10E 11E 11F 11G 11H 11I 11J 11K 11L 11M 10M 9M 8M 7M 6M 5M 4M 3M 2M 1M 1L 1K
1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 5D 5C 5B 5A 6A 7A 7B 6H 6I 7I 8I 9I 10I 11I 11J 11K 11L 11M 10M 9M 8M 7M 6M 5M 4M 3M 2M 1M 1L 1K

One additional loop generated but result is OK.

Circuit 2 - Three phase diode rectifier

Result:

>>>
Number of nodes 10
Number of branches 15
Number of loops 9
**************************************************
1M 1L 1K 1J 1I 2I 3I 4I 5I 6I 6H 7B 7A 8A 9A 9B 6L 6M 5M 4M 3M 2M 1M
1M 1L 1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 5D 5C 5B 5A 6A 7A 8A 9A 9B 6L 6M 5M 4M 3M 2M 1M
11O 11P 11Q 10Q 9Q 8Q 7Q 6Q 5Q 4Q 3Q 2Q 1Q 1P 1O 2O 3O 4O 5O 6O 7O 8O 9O 10O 11O
1M 1L 1K 1J 1I 2I 3I 4I 5I 6I 7I 8I 9I 10I 11I 11J 11K 11L 11M 10M 9M 8M 7M 6M 5M 4M 3M 2M 1M
1M 1L 1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 11F 11G 11H 11I 11J 11K 11L 11M 10M 9M 8M 7M 6M 5M 4M 3M 2M 1M
1M 1L 1K 1J 1I 2I 3I 4I 5I 6I 7I 8I 9I 10I 11I 11J 11K 11L 11M 11N 11O 11P 11Q 10Q 9Q 8Q 7Q 6Q 5Q 4Q 3Q 2Q 1Q 1P 1O 1N 1M
1M 1L 1K 1J 1I 2I 3I 4I 5I 6I 7I 8I 9I 10I 11I 11H 11G 11F 11E 10E 9E 8E 7E 6E 5E 5D 5C 5B 5A 6A 7A 8A 9A 9B 6L 6M 5M 4M 3M 2M 1M
1M 1L 1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 11O 11P 11Q 10Q 9Q 8Q 7Q 6Q 5Q 4Q 3Q 2Q 1Q 1P 1O 1N 1M
1M 1L 1K 1J 1I 1H 1G 1F 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 11F 11G 11H 11I 10I 9I 8I 7I 6I 6H 7B 7A 8A 9A 9B 6L 6M 5M 4M 3M 2M 1M

Additional 3 loops generated but result is OK.

Circuit 3 - Dc-dc boost converter

Result:

>>>
Number of nodes 4
Number of branches 6
Number of loops 3
**************************************************
1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11C 11B 11A 10A 9A 8A 7A 6A 5A 4A 3A 2A 1A 1B 1C 1D
11F 11G 11H 10H 9H 8H 7H 6H 5H 4H 3H 2H 1H 1G 1F 2F 3F 4F 5F 6F 7F 8F 9F 10F 11F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 10H 9H 8H 7H 6H 5H 4H 3H 2H 1H 1G 1F

The exact number of loops! This happens quite rarely though.

Circuit 4 - Dc-dc boost converter feeding a single-phase converter without FWDs

Result:
>>>
Number of nodes 14
Number of branches 21
Number of loops 12
**************************************************
1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11C 11B 11A 10A 9A 8A 7A 6A 5A 4A 3A 2A 1A 1B 1C 1D
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 10H 9H 8H 7H 6H 5H 4H 3H 2H 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 10J 9J 8J 7J 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 10N 9N 8N 7N 6N 5N 4N 3N 2N 1N 1M 1L 1K 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 11O 11P 11Q 11R 10R 9R 8R 7R 6R 5R 4R 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 10N 9N 8N 7N 6N 6O 7U 7V 8V 9V 9U 6K 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 11O 11P 11Q 11R 10R 9R 8R 7R 6R 5R 5S 5T 5U 5V 6V 7V 8V 9V 9U 6K 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 10J 9J 8J 7J 6J 6K 9U 9V 8V 7V 7U 6O 6N 5N 4N 3N 2N 1N 1M 1L 1K 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 10J 9J 8J 7J 6J 6K 9U 9V 8V 7V 6V 5V 5U 5T 5S 5R 4R 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 10N 9N 8N 7N 6N 6O 7U 7V 6V 5V 5U 5T 5S 5R 4R 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F
1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 11E 11F 11G 11H 11I 11J 11K 11L 11M 11N 11O 11P 11Q 11R 10R 9R 8R 7R 6R 5R 5S 5T 5U 5V 6V 7V 7U 6O 6N 5N 4N 3N 2N 1N 1M 1L 1K 1J 1I 1H 1G 1F

Three additional loops generated but result is OK.

Circuit 5 - Dc-dc boost converter feeding a three phase three level diode clamped inverter connected to grid

Result (I am not going to check this!):

>>>

Number of nodes 48

Number of branches 72

Number of loops 70

**************************************************

1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25C 25B 25A 24A 23A 22A 21A 20A 19A 18A 17A 16A 15A 14A 13A 12A 11A 10A 9A 8A 7A 6A 5A 4A 3A 2A 1A 1B 1C 1D

23J 23K 23L 22L 21L 21K 21J 22J 23J

21R 22R 23R 23S 23T 22T 21T 21S 21R

21Z 22Z 23Z 23AA 23AB 22AB 21AB 21AA 21Z

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

5J 5K 5L 4L 3L 3K 3J 4J 5J

9J 10J 11J 11K 11L 10L 9L 9K 9J

17J 17K 17L 16L 15L 15K 15J 16J 17J

3R 4R 5R 5S 5T 4T 3T 3S 3R

11R 11S 11T 10T 9T 9S 9R 10R 11R

15R 16R 17R 17S 17T 16T 15T 15S 15R

5Z 5AA 5AB 4AB 3AB 3AA 3Z 4Z 5Z

9Z 10Z 11Z 11AA 11AB 10AB 9AB 9AA 9Z

17Z 17AA 17AB 16AB 15AB 15AA 15Z 16Z 17Z

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 25S 25T 25U 25V 25W 25X 25Y 25Z 24Z 23Z 22Z 21Z 20Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 19K 19L 19M 19N 18N 17N 16N 15N 14N 13N 13O 15G 15F 14F 13F 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 12V 11V 10V 9V 8V 7V 7U 7T 7S 7R 6R 5R 4R 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 11F 10F 9F 9G 11AE 11AD 10AD 9AD 8AD 7AD 7AC 7AB 7AA 7Z 6Z 5Z 5AA 5AB 4AB 3AB 3AA 3Z 2Z 1Z 1Y 1X 1W 1V 1U 1T 1S 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 22R 21R 20R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 12V 11V 10V 9V 8V 7V 7U 7T 7S 7R 6R 5R 5S 5T 4T 3T 3S 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 20J 21J 22J 23J 24J 25J 25K 25L 25M 25N 25O 25P 25Q 25R 25S 25T 25U 25V 25W 25X 25Y 25Z 24Z 23Z 23AA 23AB 22AB 21AB 21AA 21Z 20Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 18J 17J 17K 17L 16L 15L 15K 15J 14J 13J 12J 11J 10J 9J 8J 7J 6J 5J 5K 5L 4L 3L 3K 3J 2J 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 6J 5J 5K 5L 4L 3L 3K 3J 2J 1J 1K 1L 1M 1N 1O 1P 1Q 1R 1S 1T 1U 1V 1W 1X 1Y 1Z 2Z 3Z 4Z 5Z 6Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 14V 15V 16V 17V 18V 19V 19U 19T 19S 19R 20R 21R 21S 21T 22T 23T 23S 23R 24R 25R 25S 25T 25U 25V 25W 25X 25Y 25Z 24Z 23Z 23AA 23AB 22AB 21AB 21AA 21Z 20Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 25S 25T 25U 25V 25W 25X 25Y 25Z 24Z 23Z 22Z 21Z 20Z 19Z 18Z 17Z 17AA 17AB 16AB 15AB 15AA 15Z 14Z 13Z 12Z 11Z 10Z 9Z 8Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 22R 21R 20R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 13F 14F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 18J 17J 16J 15J 14J 13J 12J 11J 11K 11L 10L 9L 9K 9J 8J 7J 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 20J 21J 22J 23J 24J 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 23S 23T 22T 21T 21S 21R 20R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 18J 17J 17K 17L 16L 15L 15K 15J 14J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 15AA 15AB 16AB 17AB 17AA 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 18J 17J 17K 17L 16L 15L 15K 15J 14J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 12Z 11Z 10Z 9Z 8Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 15AA 15AB 16AB 17AB 17AA 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 12Z 11Z 10Z 9Z 8Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 6J 5J 5K 5L 4L 3L 3K 3J 2J 1J 1K 1L 1M 1N 1O 1P 1Q 1R 2R 3R 4R 5R 6R 7R 7S 7T 7U 7V 8V 9V 10V 11V 12V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 22R 21R 20R 19R 18R 17R 17S 17T 16T 15T 15S 15R 14R 13R 12R 11R 10R 9R 8R 7R 7S 7T 7U 7V 8V 9V 10V 11V 12V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 22R 21R 20R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 11F 10F 9F 9G 11AE 11AD 10AD 9AD 8AD 7AD 7AC 7AB 7AA 7Z 6Z 5Z 4Z 3Z 2Z 1Z 1Y 1X 1W 1V 1U 1T 1S 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 18J 17J 16J 15J 14J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 16Z 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 18J 17J 16J 15J 14J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 12Z 11Z 11AA 11AB 10AB 9AB 9AA 9Z 8Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 18J 17J 17K 17L 16L 15L 15K 15J 14J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 14R 15R 15S 15T 16T 17T 17S 17R 18R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 14N 15N 16N 17N 18N 19N 19M 19L 19K 19J 18J 17J 17K 17L 16L 15L 15K 15J 14J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 12R 11R 10R 9R 8R 7R 7S 7T 7U 7V 8V 9V 10V 11V 12V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 14R 15R 15S 15T 16T 17T 17S 17R 18R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 12R 11R 10R 9R 8R 7R 7S 7T 7U 7V 8V 9V 10V 11V 12V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 14V 15V 16V 17V 18V 19V 19U 19T 19S 19R 18R 17R 16R 15R 14R 13R 13S 15AH 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 16Z 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 14V 15V 16V 17V 18V 19V 19U 19T 19S 19R 18R 17R 16R 15R 14R 13R 13S 15AH 15AI 14AI 13AI 13AH 13AA 13Z 12Z 11Z 11AA 11AB 10AB 9AB 9AA 9Z 8Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

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1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 12V 11V 10V 9V 8V 7V 7U 7T 7S 7R 8R 9R 9S 9T 10T 11T 11S 11R 12R 13R 13S 15AH 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 16Z 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

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1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 25K 25L 25M 25N 25O 25P 25Q 25R 24R 23R 22R 21R 20R 19R 18R 17R 17S 17T 16T 15T 15S 15R 14R 13R 13S 15AH 15AI 14AI 13AI 13AH 13AA 13Z 14Z 15Z 15AA 15AB 16AB 17AB 17AA 17Z 18Z 19Z 19AA 19AB 19AC 19AD 18AD 17AD 16AD 15AD 14AD 13AD 12AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

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1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 18J 17J 16J 15J 14J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 14R 15R 16R 17R 18R 19R 19S 19T 19U 19V 18V 17V 16V 15V 14V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 18J 17J 16J 15J 14J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 12R 11R 11S 11T 10T 9T 9S 9R 8R 7R 7S 7T 7U 7V 8V 9V 10V 11V 12V 13V 13W 12G 12F 11F 10F 9F 8F 7F 6F 5F 4F 3F 2F 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 25G 25H 25I 25J 24J 23J 23K 23L 22L 21L 21K 21J 20J 19J 19K 19L 19M 19N 18N 17N 16N 15N 14N 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 6J 5J 4J 3J 2J 1J 1K 1L 1M 1N 1O 1P 1Q 1R 1S 1T 1U 1V 1W 1X 1Y 1Z 2Z 3Z 3AA 3AB 4AB 5AB 5AA 5Z 6Z 7Z 7AA 7AB 7AC 7AD 8AD 9AD 10AD 11AD 11AE 9G 9F 8F 7F 6F 5F 4F 3F 2F 1F

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1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 14AI 13AI 13AH 13AA 13Z 12Z 11Z 10Z 9Z 8Z 7Z 6Z 5Z 5AA 5AB 4AB 3AB 3AA 3Z 2Z 1Z 1Y 1X 1W 1V 1U 1T 1S 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 15G 13O 13N 12N 11N 10N 9N 8N 7N 7M 7L 7K 7J 8J 9J 10J 11J 12J 13J 13K 17AH 17AI 16AI 15AI 15AH 13S 13R 12R 11R 10R 9R 8R 7R 6R 5R 5S 5T 4T 3T 3S 3R 2R 1R 1Q 1P 1O 1N 1M 1L 1K 1J 1I 1H 1G 1F

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1F 1E 1D 2D 3D 4D 5D 6D 7D 8D 9D 10D 11D 12D 13D 14D 15D 16D 17D 18D 19D 20D 21D 22D 23D 24D 25D 25E 25F 24F 23F 22F 21F 20F 19F 18F 17F 16F 15F 14F 13F 12F 12G 13W 13V 12V 11V 10V 9V 8V 7V 7U 7T 7S 7R 8R 9R 9S 9T 10T 11T 11S 11R 12R 13R 13S 15AH 15AI 16AI 17AI 17AH 13K 13J 12J 11J 11K 11L 10L 9L 9K 9J 8J 7J 6J 5J 4J 3J 2J 1J 1I 1H 1G 1F

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Python and Power Electronics

Tuesday, January 29, 2013

Loop identification - XIV

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