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Research Article | Open Access

TAHO: tri-swarm adaptive hybrid optimizer for optimal power flow in integrated transmission-distribution systems

Tariq Ali1,2( )Muzna Sarwar3( )Farrukh Jamal4Mohammad Hijji2Husam S. Samkari1,5Mohammed F. Allehyani5Muhammad Ayaz1,2
Artificial Intelligence and Sensing Technology Research Center (AIST), University of Tabuk, Tabuk 71491, Saudi Arabia
Faculty of Computers and Information Technology, University of Tabuk, Tabuk 71491, Saudi Arabia
Department of Statistics, Faculty of Computing, Islamia University of Bahawalpur, Pakistan
Department of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia
Department of Electrical Engineering, University of Tabuk, Tabuk 47713, Saudi Arabia
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Abstract

The increasing integration of renewable energy resources and active distribution networks has significantly increased the complexity of optimal power flow (OPF) problems in integrated transmission-distribution (T&D) power systems. To address these challenges, this paper proposes a novel tri-swarm adaptive hybrid optimizer (TAHO) that integrates particle swarm optimization (PSO), grey wolf optimizer (GWO), and jellyfish search (JS) within a unified adaptive optimization framework. The proposed method effectively balances exploration and exploitation to improve convergence stability and optimization accuracy. A multi-objective OPF model is developed to minimize generation cost, power loss, and voltage deviation under operational constraints. Experimental results on integrated IEEE 30-bus and IEEE 33-bus systems demonstrate that the proposed TAHO achieves superior performance with the minimum fitness value of 0.0008, faster convergence within 75 iterations, and the lowest standard deviation of 0.0005 compared with PSO, GWO, and JS. Benchmark evaluations further confirm the robustness and strong global search capability of the proposed framework for renewable-integrated smart grid optimization and real-time OPF applications.

CLC number: 34A08, 68T07

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AIMS Mathematics
Pages 16635-16671

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Cite this article:
Ali T, Sarwar M, Jamal F, et al. TAHO: tri-swarm adaptive hybrid optimizer for optimal power flow in integrated transmission-distribution systems. AIMS Mathematics, 2026, 11(6): 16635-16671. https://doi.org/10.3934/math.2026683

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Received: 10 April 2026
Revised: 01 June 2026
Accepted: 02 June 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)