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The assessment of the shunt compensation allied power quality glitches bounds the design and modelling of a controller for the d-FACTS (Distribution Flexible Alternating current Transmission System) device. So, Kernel Hebbian least mean square (KHLMS) is proposed for controlling the distributed static compensator (DSTATCOM) in this study. The KHLMS is the improved version of an adaptive LMS (ALMS), which is designed by using a suitable pattern of learning mechanism. Both the controller algorithms are formulated on the basis of mathematical equations using MATLAB/Simulink. In accordance with the system variation adaptability and experimental application, each phase controller is configured as an independent neural network structure. The objective of control algorithms is used for the extraction of fundamental active and reactive components from load currents for the generation of the reference source currents. In comparison with the ALMS algorithm, the KHLMS demonstrates more effective in improving the voltage regulation at DC link capacitor, voltage balancing, source current harmonic reduction, and power factor correction under the disturbance influences caused by even and uneven loading. Nomenclature w pa , w pb , w pc weighting values of active component of load current w qa , w qb , w qc weighting values of reactive component of load current w a mean active weight w r mean reactive weight α learning factor γ step size i la , i lb , i lc load currents i sa , i sb , i sc supply currents u pa , u pb , u pc in phase unit voltage template u qa , u qb , u qc quadrature unit voltage template w cp , w cq output of proportional integral (PI) controller at both DC and AC sides w sp, w sq total active and reactive components of the reference source current i aa , i ab , i ac total active weight i ra , i rb , i rc total reactive weight v sa , v sb , v sc supply voltages i sa *, i sb *, i sc * reference supply currents

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A new hybrid control technique called gradient descent back propagation (GDBP)-based i cos ϕ for a three phase twolevel distribution static compensator (DSTATCOM) to perform the functions such as harmonic mitigation, power factor correction under reactive loads, which further reduces the DC link voltage across the self-supported capacitor of voltage source converter (VSC). The weighted value of fundamental active and reactive components of load currents are extracted using the proposed control technique to generate the reference source currents. Furthermore, these currents are used to trigger the VSC of the DSTATCOM. The effectiveness of this control technique is demonstrated through simulation using MATLAB/SIMULINK and sim power system tool boxes. The real-time implementation of DSTATCOM is also realised by real-time digital simulator. These results reveal the robustness of the proposed DSTATCOM as it is showing outstanding harmonic compensation capabilities under the various loading conditions and keeping the total harmonics distortion of the source current well <5%, the limit imposed by IEEE-519 standard.

A propounded control strategy called naive back propagation (NBP)-based icosϕ is implemented in designing of distribution static compensator (DSTATCOM) in this study. The performance of the DSTATCOM using both the proposed and icosϕ control technique are compared under varying load condition in the three-phase three-wire (3P3W) distribution system. The extraction of both tuned active as well as reactive weighting components are obtained from the accuracy of the control algorithm with respect to proportional-integral controllers. The comparative study reveals with source current harmonics reduction, voltage regulation, load balancing, power factor correction and sizing of VSC. The results demonstrate the robustness of the DSTATCOM in order to show the superiority, reliability, robustness and effectiveness of the proposed approach compared with the conventional one. The effectiveness of both the algorithms are validated through the simulation using MATLAB and real-time implementation conducted in real time digital simulator (RTDS) environment, showing the power quality indices.