We study quench detection in superconducting accelerator cavities cooled with He-II. A rigorous mathematical formula is derived to localize the quench position from dynamical data over a finite time interval at a second sound detector.
Bibliographical noteFunding Information:
The second author's research was supported in part by NSF grant DMS-1516565. We thank Zachary Conway and Daniel Lathrop for stimulating discussions. We also thank Masaru Ikehata for helpful comments and bringing several references to our attention. Finally, we acknowledge the hospitality of the IMA, where this work was completed.
\ast Received by the editors October 13, 2017; accepted for publication (in revised form) December 18, 2018; published electronically February 19, 2019. http://www.siam.org/journals/siap/79-1/M115201.html Funding: The second author's research was supported in part by NSF grant DMS-1516565. \dagger School of Mathematics, University of Minnesota, Minneapolis, MN 55455 (firstname.lastname@example.org, email@example.com).
- Enclosure method
- Second sound