<p>This paper introduces a Joint Logarithmic Hyperbolic Cosine Filter (JLHCF) adaptive algorithm for regulating an integrated Unified Power Quality Conditioner (UPQC) in three-phase power network utilizing Phase-Locked Loops (PLLs). The proposed JLHCF algorithm enables fast and reliable estimation of fundamental components (FCs) of nonlinear load current. The JLHCF adaptive algorithm is developed using a sparse hyperbolic function filtering approach, integrated within an adaptive frequency estimation framework. Its modular design allows for easy incorporation into various system models, resulting in a lightweight and efficient state estimator. In the context of UPQC, JLHCF-PLL-based filtering is employed to extract fundamental positive sequence components (FPSCs) of the load current, which are crucial for accurate reference signal generation in UPQC controllers. The paper also presents an optimization algorithm based on the JLHCF-PLL strategy, which utilizes an echolocation-inspired approach to estimate the optimal gains of the proportional-integral (PI) controller. This optimization method is capable of dynamically identifying solution regions and avoiding local minima, thereby improving convergence and control accuracy. The complete three-phase UPQC is modeled and simulated under steady-state and dynamic conditions using the MATLAB/Simulink platform. Additionally, performance is validated through real-time implementation on the OPAL-RT platform. The results confirm the effectiveness of the proposed approach in enhancing power quality in distribution networks with renewable energy integration.</p>