A brief description of one of the collaboration is mentioned here.

The formation of ice on high voltage transmission lines (due to freezing rain or other causes) and its disastrous consequences in loss of property, loss of life and widespread inconvenience are well known. An example of this catastrophe is the Ice Storm of Quebec and Ontario in January 1998. The problem also exists in a substantial way in many parts of North America (example, in Louisiana). Although the present research is limited to mathematical modeling and its practical application in mitigation of ice, by the control of intensity of electricity in the transmission wires, the work is itself a part of a very wide ranging topic which includes mathematical modeling of ice formation, modeling instability of transmission lines, use of chemicals to inhibit formation of ice, risk analysis, CFD Solutions and robotic solutions for the extermination of ice. In this study, the main objectives are

- to develop mathematical models for the shape and size of of the ice (provided by Hydro companies) taking into consideration gravity, atmospheric conditions (wind, humidity, frost etc.)
- study the process of melting ice from internal (current in the lines) sources
- Development of software for Hydros and electrical utilities

The interface of mathematical modeling and applying it in the field not only leads to real world applications, but also involves developing newer directions and applications of mathematical tools.

The main mathematical framework for moving boundary problems is represented as Stephan's problem. It is also proposed to develop a web page which will act as a repository for worldwide information on the ice problem in general, supplied by other organizations.

For a recent presentation on this activity click here

Graduate Research Assistant trained: Mr. Vishnu K. Narayanasami

*. P.N. Shivakumar, Ruppa K. Thulasiram, Shiu H. Lui, " *Mathematical
Modeling of Ice on Transmission Lines"*,
Proceedings of the **International Conference and Instructional Workshop on Industrial Mathematics
(ICIWIM02**) December, 2002, Mumbai, India (to appear)
Abstract
.