This research work introduces a new hybrid technique called quasi‐Newton back‐propagation based i cos ϕ control algorithm. Its structure is constructed on the concept of biological features like input neuron, target neuron, weight correction and more attractive due to its parallel computing, learning capability behaviour. Systematic step‐by‐step procedures are represented by mathematical equations in the MATLAB/Simulink platform. The fundamental weighted values of active and reactive power components of load currents are extracted using the proposed control technique to generate the reference source currents. Further, the reference source currents are used to generate switching pulses for voltage source converter (VSC) of the distributed static compensator (DSTATCOM). It is capable enough to perform several functions such as harmonic mitigation, power factor correction, load balancing and voltage regulation which further reduce the DC link voltage across the self‐supported capacitor of the VSC. Simulation and experimental validation demonstrates better performance of the suggested algorithm for operation of the DSTATCOM at different loading conditions.

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.

A propounded control strategy called naive back propagation (NBP)‐based is implemented in designing of distribution static compensator (DSTATCOM) in this study. The performance of the DSTATCOM using both the proposed and 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.

This paper presents a dual voltage source inverter (DVSI)-based Distributed Static Compensator (DSTATCOM) to enhance the power quality in the power utility system (PUS). The proposed DSTATCOM consists of two numbers of two-level voltage source inverters (VSI) which controls the reactive power. One of them is regarded as the main voltage source inverter (MVSI) and the other is considered as auxiliary voltage source inverter (AVSI). The $i\cos \varphi$ control algorithm is employed to generate the reference source currents as well as switching pulses. The detailed control algorithm is formulated by mathematical analysis using MATLAB/Simulink, and compared with different case studies. Among all the theoretical findings, the DVSI offers better voltage regulation, voltage balancing, source current harmonic reduction and power factor correction under various loading scenarios. Apart from these, reliability, stress balancing of the both MVSI and AVSI, cost reduction due to a decrease in the filter size and better operation of PUS is obtained. To check the effectiveness, the performance of the DVSI-based DSTATCOM is carried out as per the benchmark value of the IEEE-519-2014 and IEC-61000-1 grid code.

In this study, the design and implementation of a new hybrid soft computing control technique called Levenberg–Marquardt backpropagation (LMBP)‐based icosϕ is proposed. Two different compensation techniques are evaluated for the performance analysis of three‐phase three‐wire (3P3W) voltage source converter (VSC)‐based DSTATCOM. The first one is the conventional icosϕ control technique whereas the other one is called the LMBP‐based icosϕ control technique. The better power quality of the system is obtained using the proposed control algorithm by maintaining a less voltage across the capacitor as compared to the conventional one. So, the reduction in the size of the DSTATCOM is realised by the LMBP‐based control algorithm. Furthermore, the performance parameters such as load balancing, harmonics elimination, power factor improvement, and voltage regulation are evaluated under both balanced and unbalanced loading conditions as per the IEEE guidelines. The effectiveness of the proposed controller is studied in the MATLAB/Simulink environment and also validated with a low power rated prototype experimental results.

The motivation of this paper is to introduce a new Hebbian least mean square control algorithm for two level self‐supported voltage source converter based distributed static compensator. The Hebbian least mean square controller is employed on the various aspects such as, weight updating, direct and quadrature unit voltage template, active and reactive part of reference supply currents and switching signal generation. Firstly, a set up equations using Hebbian least mean square are premeditated to compute both active and reactive weight updating. Secondly, DC and AC proportional integral controller outputs are involved with the updating weight to generate the reference supply current. The error signal obtained from both reference and actual source current is processed through the hysteresis current controller for the gate signal firing. The MATLAB/Simulink results as well as experimental results prove that the proposed algorithm is competent to afford the better voltage regulation, voltage balancing, source current harmonic reduction and power factor correction. Finally, performance obtained from the proposed controller reveals the applicability for various loading condition in the distribution grid.