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This work presents design and theoretical analysis of an adaptive fractional-order sliding-mode disturbance observer (FO-SM-DOB)-aided fractional-order robust controller for frequency regulation of a hybrid wind-diesel based power system, considering endogenous/exogenous system disturbances. Adaptive FO-SM-DOB is designed to estimate unknown/uncertain lumped system disturbances, including parametric uncertainty and exogenous disturbances. Afterwards, an improved fractional-order sliding mode controller (FOSMC) augmented with the estimated output of FO-SM-DOB is designed and applied to accelerate system dynamics with minimum chattering in the control effort. The Mittag-Leffler stability theorem affirms the finite-time convergence of disturbance estimation error. Moreover, the closed-loop asymptotic stability of the overall control system has been guaranteed by applying Lyapunov argument. The effectiveness of the suggested resilient fractional-order nonlinear frequency controller is theoretically validated by performing an extensive comparative study with SMC, FOSMC (without DOB), state observer-based SMC (SOB-SMC), second-order SMC (without DOB), and conventional integer/fractional-order controllers. Simulation results establish the supremacy of the proposed resilient fractional-order nonlinear frequency controller over its other counterparts concerning fast disturbance rejection, weaker chattering, and a high degree of robustness against unknown lumped system disturbances. Further, to demonstrate the practicability and validate the effectiveness of the proposed control strategy, magnetic levitation system and IEEE 39-bus New England power system are considered and successfully tested on MATLAB platform.

RESUMEN

The work described herein compares the performance of different optimized controllers, viz. proportional-integral, proportional-integral-derivative (PID) with filter, two-degree-of-freedom (2DOF)-PID, 3DOF-PID, fractional-order-PID, cascade PI-PID, tilt-integral-derivative (TID), and cascade-TID (CC-TID) controllers in frequency regulation of a hybrid energy distributed power system (HEDPS). The HEDPS is integrated with a multi-unit hydrothermal power plant for ensuring stable power supply. Crow search algorithm has been adopted with chaotic mapping (CCSA) for fine-tuning of the controller settings mentioned above. Extensive analysis has been presented to confirm the superiority of the CC-TID controller compared to other prevalent controllers of state-of-art in terms of different performance specifications. The tuning competence of the CCSA has been demonstrated over conventional CSA and other available optimization techniques. To enhance the mastery of the controller, disturbance-observer (Dob) is developed to estimate fast-changing disturbance profiles and subsequently refines the control law. The controller's robustness is affirmed under random perturbations, presence of nonlinearities, and variation of parameters. The effect of integration of a geothermal power plant on the system performance has also been outlined. The efficacy of Dob-aided CC-TID controller in frequency regulation is validated thereof.

RESUMEN

Street dust of Korba, Chhattisgarh, an urban industrial hub in one of India's major coal mining areas, has been analysed for profiling and sourcing of Pb and other potentially toxic elements (PTEs). Lead isotopic ratio of dust, coal, diesel, fly ash and human blood of Korba is being reported for the first time in this study. The mean concentrations (in mg/kg) of Al, V, Cr, Fe, Mn, Ni, Cu, Zn, Cd and Pb were higher than World Background soil and Reference soil USA values and decreased in the order of Al (17000) > Fe (7550) > Mn (2740) > Cr (833) > Ni (571) > Zn (231) > Cu (152) > V (145) > Pb (98.6) > U (7.9) > Cd (1.34). About 25% of the sampled dust had Pb Igeo belonging to class IV category of heavy contamination. Dust from industrial areas was highly enriched with Cr, Cu, Pb and Mn, while those from coal mining areas had high mean V concentration. Principal component analysis extracted Al, Fe, Mn, Zn, Pb and U with the highest loading factors in Component 1 indicative of their lithogenic and anthropogenic sources. The lead isotopic ratios of the dust, coal, diesel, fly ash and eight human blood samples clustered linearly in the 207Pb/204Pb vs 208Pb/204Pb and 206Pb/204Pb vs 208Pb/204Pb plots. Airborne lead deposition from diesel-based traffic exhausts and fly ash contributed to the human blood lead level besides coal mining activities. Geospatially, while Pb was mainly concentrated in the residential, industrial and coal-mining areas, Zn and Mn were mainly distributed in the roadside areas of industrial centres.

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RESUMEN

A geochemical study of the trace metals and lead isotopic ratios of soil and sediments in Korba, Chhattisgarh, India is presented here for the first time. Korba, the nation's 'power hub' is also the fifth among its eighty-eight most critically polluted industrial hotspots. A very high mean concentration (in mg kg-1) of V (308), Cr (567), Mn (3442), Co (92), Cu (218), Zn (426), Pb (311), Th (123) and U (32) characterized the sediments of the studied area with mean Igeo values of the trace metals ranging from -2.29 to 3.27. In the two-ratio scatter Pb isotope plot of the different environmental matrices, except for human blood, coal, soil, sediments, non-washed leaves, flyash and diesel overlapped linearly in the mixing line between diesel as the highest anthropogenic end member and a core sediment fraction representing its geogenic counterpart. The mean 207Pb/206Pb Pb ratio decreased in the order of diesel (0.9012) > flyash (0.8757) > coal (0.8498) soils and sediments (0.8374) > lowest core sediment fraction (0.8017). Principal Component Analysis (PCA) of the trace metal data extracted V, Cr, Cu, Zn, Pb, U and Th in the first component PC1. The northeastern part of the study area revealed major hotspots of V, Cu, Co, Zn and Pb near the flyash dykes of the power stations. Human blood used as a biomarker for Pb pollution in this study had a mean blood lead level of 28 µg/dl with a distinctive high 207Pb/206Pb ratio of 0.8828.

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