1. Lecture #15 EEE 574 Dr. Dan Tylavsky Breaker to Bus Modeling

2. © Copyright 1999 Daniel Tylavsky –Goal: We want to apply the sparsity techniques that we’ve learned to solve the power flow problem. –Q: The first problem we must solve is how do we convert schematic diagrams, verbal descriptions, and lists of data into a mathematical problem that we can solve? –A: This process is called ‘modeling.’

3. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky –There are two scenarios in which models will be needed: Systems study are not topologically related to one another. (off-line studies) Systems studied are typically topologically related. (on-line studies of an evolving system. –Each of these scenarios will require that we make different considerations when writing our code.

4. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky –For on-line studies: Split buses Coalesce two (split) buses Remove/insert branches Modify values of all topological elements and loads. –For off-line studies: Read data from a static data file - treat job as a batch job.

5. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky 4 Bus splitting: –Breaker-and-a-half scheme. Circuit Breaker w/ 2 disconnects. 1 2 3 4 5 6 7

6. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Elem #1 Elem #2 Elem #3 Elem #4 1 2 3 4 5 6 7

7. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Construct a single line diagram of the system portion shown to the left if the following breakers (only) are open: None To a To b To c 1 Construct a single line diagram of the system portion shown above if the following breakers (only) are open: 2, 5, 7 To a To c 2? To b 3? Issues: How do you number the buses when they split? How do you number them when they coalesce?

8. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Teams: Construct a single line diagram of the system portion shown to the left if the following breakers (only) are open: 3,6,7

9. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Teams: Construct a single line diagram of the system portion shown below if the following breakers (only) are open: 1,3,4,5,6

10. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky –Ring bus scheme. 1 2 3 4 Elem. #1Elem. #2 Elem. #3 Elem. #4

11. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Construct a single line diagram of the system portion shown below if the following breakers (only) are open: None To a To b To c 1 1 2 3 4 To aTo b To c

12. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky Teams: Construct a single line diagram of the system portion shown below if the following breakers (only) are open: 1,3 1 2 3 4 To aTo b To c

13. The End

14. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky        To a To b To c

15. Breaker to Bus Modeling © Copyright 1999 Daniel Tylavsky     To aTo b To c  