PHASE III

Presenter Name	Soumya Dutta
Cluster	EE2
Email-id:	soumya.besuee@gmail.com
Topic:	Trains on time: Optimizing and scheduling railway timetables
Venue:	GG 302
Session Chair:	Chayan Bhawal
Date:	27/07/2016 at 4 PM
Pre-Requisite:	None
Abstract:	Our everyday lives are bounded by constraints: be it resources, priorities or time for that matter. Yet, we try to balance the odds to reach a solution which is not only feasible, but also best suited to us. Unknowingly, we have been solving optimization problems for long, but it was only in the last century that mathematicians have formalized this into a field of study. Today, analysis based on optimization is not only limited to fields of science and engineering, but also finds application in areas like economics, planning and business. It has evolved into a powerful tool in decision making. The talk will start off with a brief overview on the different types of optimization problems and techniques to deal with them. Application of optimization in preparing railway timetables will be discussed at length. In this regard, some reference to "periodic constraints" will be made. The method to deal with such complex problems will be explored, which in turn will showcase the true modeling power of optimization.
Presentation Slides:	Click Here.

Presenter Name	Megha Kolhekar, PhD
Cluster	EE2
Email-id:
Topic:	When Does a Polynomial Permute a Finite Field?
Venue:	GG 302
Session Chair:	Chayan Bhawal
Date:	17/08/2016 at 4 PM
Pre-Requisite:	None
Abstract:	Finite fields are fields containing finite number of elements. They are building blocks of areas like coding theory, cryptography and combinatorics. A polynomial is said to be a "Permutation Polynomial" of a finite field if it induces a one-to-one map from the field to itself. Permutation polynomials have been an interesting subject of study for many years and have many interesting applications. This talk aims at introducing some concepts of finite fields and permutation polynomials. I will then discuss​ the naturally arising questions that one can think of while studying permutation polynomials of finite fields​. I shall then talk about​ the challenges in dealing with them and to what extent we have attempted to answer these questions. I will ​cover two problems: Testing a polynomial to be a permutation polynomial and to find it's 'compositional inverse'.
References:	Click Here.

Presenter Name	Mousumi Mukherjee, PhD
Cluster	EE2
Email-id:
Topic:	Solving Poly-problems
Venue:	GG 303
Session Chair:	Megha Kolhekar
Date:	29/09/2016 at 3.05 PM
Pre-Requisite:	None
Abstract:	A wide range of problems in optimization, systems theory, coding theory, partial differential equations, statistics, computational Biology etc. use sets of polynomial equations for representing the problem to be solved. Finding a solution for such a system of non-linear multivariable polynomial equations is a fundamental problem in computational studies. In this talk we will try and understand Gröbner bases which provide a versatile approach to solving problems expressed in terms of sets of multivariable polynomial equations. We start off with a brief introduction to single variable polynomials, the Euclidean algorithm, ideals and varieties. After understanding these preliminaries, we move on to the theory of Gröbner bases. Keywords: Multivariable Polynomial Equations, Gröbner basis
References:

Presenter Name	Vigya Ph.D, Control and Computing
Cluster	EE2
Email-id:
Topic:	Modeling and control of a doubly-fed induction generator for harnessing wind energy
Venue:	GG 302
Session Chair:	Nawaz Hussain Ph.D, PEPS
Date:	28/10/2016 at 3.30 PM
Pre-Requisite:	None
Abstract:	Due to alarming depletion of existing energy resources and its effect on our environment, there is a pressing need for alternate sources of energy which would replace the conventional sources. In this talk we explore wind energy as a viable alternative. Doubly-fed Induction Generators (DFIGs) based wind energy systems offer various advantages for generation of power using wind energy. We describe a state-space model for the DFIG and analyse the same in synchronously rotating d-q axes. We then discuss the design of a optimal controller for stability of this multi-input, multi-output system in the presence of disturbances.
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