Graduate applicants:
We have just started in Fall 2014 a new, unique, interdisciplinary PhD program in
"Computing and Mathematical Sciences".
You can apply to either this program in the CMS Department or the EE Department
if you are interested in power systems with a strong background in maths.
See Adam Wierman's
blog
for more information.
See the Caltech smart grid
website.
Sample: Power Networks

Convex relaxation of optimal power flow (2part tutorial)
Extended version with proofs:
Part I
Part II
S. H. Low
Part I: formulations and equivalence.
IEEE Trans. Control of Network Systems, 1(1):1527, March 2014
Part II: exactness.
IEEE Trans. Control of Network Systems, 1(2):177189, June 2014
[slides: CNLS
Grid Science Winter School, Santa Fe, NM, Jan 2015]

Branch flow model: relaxations and convexification (Parts I, II)
Masoud Farivar and S. H. Low
IEEE Trans. Power Systems, 28(3):25542572, August 2013
[old slides,
old video
(Berkeley i4Energy Seminar, April 2012)]

Design and stability of loadside primary frequency control in power systems
C. Zhao, U. Topcu, N. Li and S. H. Low
IEEE Trans. on Automatic Control, 59(5):11771189, May 2014
[
slides,
(Skoltech Conf on Advanced Mathematical Methods For Energy Systems,
June 2015) ]

Exact convex relaxation of optimal power flow in radial networks
L. Gan, N. Li, U. Topcu and S. H. Low
IEEE Trans. on Automatic Control, 2014

Zero duality gap in optimal power flow problem
Javad Lavaei and S. H. Low
IEEE Trans. on Power Systems, 27(1):92107, February 2012

Optimal demand response: problem formulation and deterministic case
L. Chen, N. Li, L. Jiang and S. H. Low
In Control and Optimization Theory for Electric Smart Grids
Aranya Chakrabortty and Marija Ilic, Editors, Springer 2012

Quadratically constrained quadratic programs
on acyclic graphs with application to power flow
Subhonmesh Bose, Dennice F. Gayme, K. Mani Chandy and S. H. Low
Submitted for publication, June 2013

Talks:

Online optimization of power networks
slide
video 1080p
video 240p
IPAM Workshop on Optimization and Equilibrium of Energy Economics,
UCLA, CA, January 2016

Loadside frequency control
slide
Expert Conf on Advanced Mathematical Methods For Energy Systems,
Skoltech, Moscow, Russia, June 2015

Smart grid research
slide
Cornell University, Ithaca, NY, March 2015

Semidefinite relaxation of optimal power flow: tutorial
slide
CNLS Grid Science Winter School, Santa Fe, NM, Jan 2015
 Optimal power flow
video+slides
DTC Science & Technology Innovators Lecture,
College of Sci & Engr, University of Minnesota, Sept 2013
 Control architecture for networked DER
slides
Optimization panel at the 12th Int'l Workshop on
Electric Power Control Centers (EPCC), Bedford Springs, PA, June 2013
 Optimal power flow and demand response
slides,
video
i4Energy Seminar, CITRIS, UC Berkeley, April 2012

Sample: Communication Networks
New paper:
 Pricing link by time
C. D. Lai, S. H. Low, K. C. Leung and V. O. K. Li
Proc. ACM Sigmetrics Conference, Austin, TX, June 2014
 Optimization flow control, I: basic algorithm and convergence
S. H. Low and D. E. Lapsley
IEEE/ACM Transactions on Networking, 7(6):86175, Dec 1999

A duality model of TCP and queue management algorithms
S. H. Low
IEEE/ACM Transactions on Networking, 11(4):525536, Aug 2003
 FAST TCP: motivation, architecture, algorithms, performance
David X. Wei, Cheng Jin, S. H. Low and Sanjay Hegde
IEEE/ACM Transactions on Networking, 14(6):12461259, Dec 2006

Equilibrium of heterogeneous congestion control: existence and uniqueness
Ao Tang, Jintao Wang, S. H. Low and M. Chiang
IEEE/ACM Transactions on Networking, 15(4):824837, Oct 2007

REM: active queue management
S. Athuraliya, V. H. Li, S. H. Low and Q. Yin
IEEE Network, 15(3):4853, May/Jun 2001

Layering as optimization decomposition: a mathematical theory of network architectures
M. Chiang, S. H. Low, A. R. Calderbank and J. C. Doyle
Proceedings of the IEEE, 95:255312, Jan 2007

Tutorial: TCP Congestion control
slides;
video part 1,
video part 2
PURSUIT Summer School, Cambridge
University, UK, Aug 2011


