On the decomposition of generalized incomplete gamma functions with applications to Fourier transforms

AbstractIn this paper we introduce decomposition functions CΓ(α,x;ω), SΓ(α,x;ω), Cγ(α,x;ω) and Sγ(α,x;ω) of the generalized gamma functions. These functions are found useful in the analytic study of the temperature distribution of a semi-infinite solid with periodic boundary conditions and to the theory of Fourier transforms. Several new identities involving the Fourier transforms are investigated and some of the classical ones are recovered as special cases. For numerical and scientific computations, tabular and graphical representations of the functions CΓ(α,x;ω) and SΓ(α,x;ω) are also given

Design and Implementation of Hybrid Active Power Filter (HAPF) for UPS System

Hybrid Active Power Filter (HAPF) is designed and applied for Uninterrupted Power Supply (UPS) System to mitigate harmonic currents in UPS during the power conversion from rectifiers to inverters (AC-DC-AC Converters). Various UPS types and topologies are used for continuous power supply without delay and protection to connected loads. In spite of the fact that UPS is one of the power quality apparatus but it has also drawback of disturbing the power system quality of system by current harmonics and voltage distortion during conversion of power. Passive and EMI Filters could not eliminate harmonics effectively from UPS system therefore it requires modern, rapid filtering method as well combination of Active and Passive Filters. Proposed model of HAPF for UPS System could mitigate current harmonics for optimal power transfer and minimize losses, increase overall efficiency, reliability and life span of equipment. Higher harmonic current and higher voltage distortion leads to greater power loss. In this paper the (d-q) theorem is applied for the identification of harmonic currents. The d-q theorem and calculation creates the signal of reference compensation current and this produced signal of current is tracked by the yield current of the voltage source converter.. Hysteresis based controller for HAPF is applied to create the switching signals to regulate and maintain the voltage source converter output currents. Harmonics and efficiencies are analyzed at different loads and on charging and discharging of batteries of various UPS System in different industries and sectors on the basis of experimental investigation then HAPF is designed and implemented. In simulation results, it is observed that THD reduced from 46 to 10%, the harmonic currents were compensated and eliminated effectively which improved power quality of UPS System. Furthermore, addition of proposed HAPF could save the power up to 15 % which lost due to poor power quality of UPS System

Salinity Stress Mitigation by Foliar Feeding of Salicylic Acid on Maize (Zea Mays L.) grown under Hydroponic Culture

Salicylic acid (SA) is mainly associated with the regulation of plant growth particularly in salinity stress conditions and this signaling molecule exists in pivotal parts of plant. The objective of this research analysis was to overcome stress condition by distinct foliar treatments of Salicylic acid, for instance, 0 and 100 mM. Foliar applications of SA on maize were rendered on 10 days later than transplanting under a hydroponics experiment. Plants were grown under non-saline (S0= 0 mM NaCl) and saline (S1= 100 mM NaCl) conditions. Evaluation of biochemical, physiological and morphological attributes of maize was rendered after harvesting of plants. The experimental layout of Completely Randomized Design (CRD) under a factorial arrangement with three replications of each treatment was assigned for this study. According to our results it was confirmed that cultivation of maize under saline condition reduced the morphological, physiological and biochemical attributes of plant. However, exogenous application of SA on maize had a positive impact on the above mentioned traits under presence and absence of saline environment. Finally, it was justified that exogenous application of variable concentration of SA significantly improves whole parameters of maize cultivar

Design of FNN AVR for Enhancement of Power System Stability Using Matlab/Simulink

A simple technique of excitation voltage control with NNAVR (Neural Network Automatic Voltage Regulator) is proposed in this paper. Popular type of ANN (Artificial Neural Networks) known as RBF (Radial Basis Function) architectures with OLS (Orthogonal Least Square) algorithm is suggested to design AVR in order to prove its applicability and suitability. This proposed technique is implemented considering as SMIB (Single Machine Connected to Infinite Bus) system with linearized model of synchronous machine and its excitation system using Matlab/Simulink. The simulation results of RBF AVR, when compared with conventional AVR controllers show better performance, improve the transient and small signal stability of the system and above all its response is more suitable in case of load changing conditions

Soil Application of Wheat Straw Vermicompost Enhances Morpho-Physiological Attributes and Antioxidant Defense in Wheat Under Drought Stress

With the provoked environmental constraints under extreme climatic events, a better understanding of plant responses to these environmental stresses helps in obtaining sustainable productivity. Wheat is a significant cereal crop for the burgeoning population; its yield is significantly limited by too little water in the rhizosphere. The ramifications of water deficiency on the wheat crop can be reduced by the application of vermicompost. With the objective to cope with drought stress, a wire-house experiment was established where seedlings of two cultivars, viz., Faisalabad-08 and Galaxy-13 (drought-tolerant and -sensitive cultivar, respectively) were grown in pots and exposed to mild drought (D1, 45% field capacity) and severe drought stress (D2, 30% field capacity). A control with well-watered condition (70% field capacity) was kept for comparison. Various application rates of wheat straw vermicompost (control (VT0), 4 t ha(-1) (VT1), 6 t ha(-1) (VT2), and 8 t ha(-1) (VT3)), were used in soil-filled pots under drought and control treatments. Our data depicted that compared with control, drought treatments recorded a significant reduction in morpho-physiological and biochemical attributes with maximum reduction under severe drought conditions. Nonetheless, it was observed that soil application of vermicompost, particularly at a high rate, ameliorated the negative effects of drought. Under severe drought conditions, a significant and positive influence on morphological and physiological traits was recorded for VT3 treatment, which increased root and shoot length by 27.55 and 27.85%, root and shoot fresh weight by 26.98 and 28.20%, root and shoot dry weight by 40 and 50.05%, and photosynthesis and transpiration rate by 27.65 and 49.25%, respectively, on average of two cultivars. Similarly, VT3 also significantly ameliorated the adverse effect of drought by enhancing the antioxidant enzyme activities as it increased superoxide dismutase activity by 14.28%, peroxidase by 27.28%, and catalase by 50% compared to the control treatment. Among cultivars, Faisalabad-2008 showed comparatively more resistance against drought stress. The findings of this work revealed that drought drastically reduced the growth and productivity of wheat; however, soil-applied vermicompost positively influenced the performance of wheat cultivars.Taif University, Taif, Saudi Arabia [TURSP-2020/94]The current work was funded by the Taif University Researchers Supporting Project Number (TURSP-2020/94), Taif University, Taif, Saudi Arabia

Reduction in the Allelopathic Potential of Conocarpus erectus L. through Vermicomposting

The utilization of vermi-technology to reduce allelopathic effects is a cost-effective, efficient, and environmentally appropriate alternative to traditional chemical and mechanical methods. The current investigation was an effort to obtain vermicompost from C. erectus and its binary combination with soil and farmyard manure (FYM) using E. foetida. The pH, EC, organic carbon, macro and micro-nutrients, CO2 emission, the average growth rate of the worms, number of worms, number of cocoons, and weight gained by earthworms were analyzed by standard methods. The present study also investigated the effect of produced vermicompost on the growth and yield of mung beans (Vigna radiata L). The maximum reduction in soil pH was observed (6.47) in vermicompost of C. erectus leaves, among other treatments. The highest N (1.86%), P (0.15%), and K (0.41%) contents were found in the vermicompost of C. erectus leaves + FYM. Similarly, the maximum plant height (36.00 cm) was achieved in vermicompost of C. erectus leaves + FYM compared to other treatments. The highest SPAD value was observed (56.37) when the soil was treated with vermicompost (C. erectus leaves + FYM) @ 5 t ha?1, followed by the treatment where vermicompost (C. erectus leaves + soil) @ 8 t ha?1 was applied. The soil amendment of vermicompost (C. erectus leaves + FYM) @ 5 t ha?1 showed competitive results (in terms of the growth and yield parameters of mung beans) compared to other types of vermicompost and C. erectus biomass. This study has the potential to reduce the phytotoxicity of C. erectus biomass and transform it into a potent organic fertilizer through vermicomposting. © 2022 by the authors.7527/Punjab/NRPU/R&D/HEC/2017, Ph- II-MG-9)/PAKTURK/R&D/HEC/2018Taif University Researchers Supporting Project number (TURSP-2020/245), Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia. The authors are grateful to HEC for funding this research through the following HEC projects: “Vermicomposting: A resourceful organic fertilizer to improve agriculture production and soil health” (NRPU-HEC project no. 7527/Punjab/NRPU/R&D/HEC/2017) and “Vermicomposting: An Agricultural Waste Management Technology” (project vide letter no. (Ph- II-MG-9)/PAKTURK/R&D/HEC/2018, though Pak-Turk Researchers Mobility Grant Program Phase- 2)