DOmath 2022 students : DOmath introductory presentations
- Uploaded by schrett ( 184 Views )Introductory presentations for DOmath 2022.
Elliott Wolf & Alex Woolf : CONVEX-OPTIMIZING THE POWER GRID
- Uploaded by root ( 145 Views )The addition of renewable energy sources, whose power production cannot be scheduled, has created increasing gaps between instantaneous electricity supply and electricity demand. Sometimes the grid is oversupplied with energy, requiring zero-marginal-cost sources of power to be shut or energy to be bled off of the grid. Other times there is insufficient electricity, requiring high-marginal-cost sources of electricity to be switched on or consumers to curtail their demand. The current state of the grid has led various utilities and power consumers deploy capital-intensive energy storage, such as lithium-ion batteries, to better-match grid supply with grid demand. We present a method to add large-scale energy storage to the power grid using only sensors, software modifications to the control systems of large industrial refrigeration systems, and mathematical optimization. Our talk will address the required instrumentation, the physics necessary to understand applicable thermal constraints, and numerical methods used to determine a mathematically optimal-discharge schedule. We further discuss the economics of the US power grid, "war stories"of doing complex mathematics in a large industrial setting and the effects of various Federal Energy Regulatory Commission and California Public Utility Commission on our efforts.
Daniel Vitek : Knot Contact Homology and the Augmentation Polynomial
- Uploaded by root ( 146 Views )TBD
Daniel Stern : (Low-order) Geometric Lagrangians with Matter Fields of Arbitrary Rank
- Uploaded by root ( 145 Views )TBD
Robert Palais : Math in Molecular Medicine
- Uploaded by root ( 152 Views )Mathematics is being used in many ways to improve the analysis and interpretation of DNA and other molecules that can affect our health. I will describe how math was used to identify genes associated with tumor progression, and to develop methods to identify and quantify genetic variations without expensive and time-consuming sequencing. resulting in a rapid, economical test for transplant compatibility, a cancer therapy, and numerous clinical diagnostic assays. I will also discuss some surprising mathematical connections discovered in the course of this work.