A Joint Logarithmic based nonlinear Adaptive filter for load balancing in electric power distribution system.

• Switching control of shunt compensator based on the Joint Logarithmic Hyper Hyperbolic Cosine Adaptive Filter. • Design implementation of the JLHCAF, which possesses the unique characteristics highlighting its smooth cost function, robustness to errors, and stability. • Improvement in the power quality and load balancing in distribution grid connected with linear and nonlinear loads. • Comparison of proposed control algorithm against the existing adaptive controls. When nonlinear loads are introduced to a distribution system, various power quality challenges emerge, such as load unbalance, harmonic distortion, and reactive power mismatch. This study presents a novel solution utilizing a joint logarithmic hyperbolic cosine adaptive filter-operated distribution static compensator to mitigate these issues. The cost function of the adaptive filter is designed to be smooth for minor errors and resilient to significant errors. The proposed control technique computes fundamental active and reactive currents, generating reference signals for the distribution static compensator. A comparative analysis with conventional adaptive control techniques is also conducted. The distribution system undergoes comprehensive testing under various dynamics to ensure compliance with IEEE-519 standards. Real-time simulation-based experiments are employed to showcase the algorithm's performance. [ABSTRACT FROM AUTHOR]