ECE 530 – Analysis Techniques for Large-Scale Electrical Systems. Lecture 18: Sensitivity Analysis, Least Squares. Prof. Tom Overbye Dept. of Electrical and Computer Engineering University of Illinois at Urbana-Champaign [email protected] Announcements.
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ECE 530 – Analysis Techniques for Large-Scale Electrical Systems
Lecture 18: Sensitivity Analysis, Least Squares
Prof. Tom Overbye
Dept. of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
A good reference is Power Generation, Operation and Controlby Wood and Wollenber; there is now a 3rd edition
We simulate the impact of the outage of line k by adding the basic transaction
and selecting tkin such a way that the flows on the dashed lines become exactly zero
where ƒk is the active power flow change on the line k due to the transaction wk
it follows that
Say we wishto knowthe changein flow on the line3 (Buses 3to 4). PTDFs fora transactionfrom 2 to 3are 0.7273on line 4and 0.0909on line 3
Here is thesystemwith the compensationadded to bus2 and removed at bus 3; weare cancelingthe impact ofthe line 4 flowfor the resetof the network.
The line 3flow changedfrom 63 MWto 106 MW,anincreaseof 43 MW,matching theLODF value
Flowgoesfrom 117.5to 118.0
line k addition case
on the base case network and we select tkso that
Hence the value weare lookingfor is 0.2(20%)
Therefore, for the base case
Hence the UTC is limited by the contingency to 23.0