Rajasthan Technical University

About: Rajasthan Technical University is a education organization based out in Kota, Rajasthan, India. It is known for research contribution in the topics: Photovoltaic system & PID controller. The organization has 716 authors who have published 1084 publications receiving 4530 citations. The organization is also known as: RTU.

Synchronized pulsed dc-dc converter as maximum power position tracker with wide load and insolation variation for stand alone PV system

Abstract: This paper investigates the interest focused on employing parallel connected dc-dc converter with high tracking effectiveness under wide variation in environmental conditions (Insolation) and wide load variation. dc-dc converter is an essential part of the stand alone PV system. Paper also presents an approach on how duty cycle for maximum power position (MPP) is adjusted by taking care of varying load conditions and without iterative steps. Synchronized PWM pulses are employed for the converter. High tracking efficiency is achieved with continuous input and inductor current. In this approach, the converter can he utilized in buck as well in boost mode. The PV system simulation was verified and experimental results were in agreement to the presented scheme.

Locally Informed Shuffled Frog Leaping Algorithm

Abstract: Shuffled Frog-Leaping Algorithm (SFLA) is a memetic meta-heuristic approach for solving complex optimization problems. Like other evolutionary algorithms, it may also suffer from the problem of slow convergence. To elevate the convergence property of the algorithm, locally informed search strategy is incorporated with SFLA. To improve the intensification and diversification capabilities of SFLA, locally informed search strategy is embedded by calculating the mean of local best and one randomly selected neighbour solution of memeplex while updating the position of worst solution in local best updating phase. Similarly, mean of global best and a randomly selected neighbour solution is used to improve the position of worst solution while updating the position of worst solution in global best updating phase. The proposed algorithm is named as Locally Informed Shuffled Frog-Leaping Algorithm (LISFLA). The modified algorithm LISFLA is analysed over 15 distinct benchmark test problems and compared with conventional SFLA, its recent variant, namely Binomial Crossover Embedded Shuffled Frog-Leaping Algorithm (BC-SFLA) and three other nature inspired algorithms, namely Gravitational Search Algorithm (GSA), Differential Evolution (DE) and Biogeography-Based Optimization Algorithm (BBO). The results manifest that LISFLA is an antagonist variant of SFLA.

Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q-calculus Operators

Abstract: In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with fractional q−calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.

On sums of polynomial-type exceptional units in $$\varvec{\mathbb {Z}}/\varvec{n\mathbb {Z}}$$Z/nZ

Abstract: A unit u in a commutative ring with unity R is called exceptional if $$u-1$$ is also a unit. We introduce the notion of a polynomial version of this (abbreviated as $$f\hbox {-exunits}$$) for any $$f(X) \in \mathbb {Z}[X]$$. We find the number of representations of a non-zero element of $$\mathbb {Z}/n\mathbb {Z}$$ as a sum of two f-exunits for an infinite family of polynomials f of each degree $$\ge 1$$. We also derive the exact formulae for certain infinite families of linear and quadratic polynomials. This generalizes a result proved by Sander (J Number Theory 159:1–6, 2016).

Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

Abstract: Abstract In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms involved with the H-functions and ̄H-functions.