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A Subtraction-Average-Based Optimizer for Solving Engineering Problems with Applications on TCSC Allocation in Power
Ghareeb Moustafa1,2, Mohamed A Tolba3, Ali M El-Rifaie4
1Electrical Engineerng Department, Jazan University, Jazan 45142, Saudi Arabia.
This study introduces an improved subtraction-average-based optimization algorithm (ISAOA) that significantly enhances engineering optimization. The ISAOA demonstrates superior performance in reducing power system losses through optimal Thyristor Controlled Series Capacitor (TCSC) placement.
Area of Science:
- Engineering Optimization
- Electrical Power Systems
Background:
- Evolutionary algorithms are crucial for complex engineering problems.
- The standard Subtraction-Average-based Optimization Algorithm (SAOA) has limitations in search capabilities.
- Optimizing power system components like Thyristor Controlled Series Capacitors (TCSCs) is vital for efficiency.
Purpose of the Study:
- To develop an enhanced optimization algorithm, the Improved SAOA (ISAOA), with superior search capabilities.
- To apply the ISAOA for optimal TCSC allocation to reduce power system losses.
- To compare the ISAOA's performance against standard SAOA and other leading optimization algorithms.
Main Methods:
- The study proposes an ISAOA incorporating cooperative learning with a leader solution.
- The ISAOA was tested on benchmark functions and applied to TCSC allocation in power grids.
- Performance was evaluated against SAOA, Artificial Ecosystem Optimizer (AEO), AQuila Algorithm (AQA), Grey Wolf Optimizer (GWO), and Particle Swarm Optimizer (PSO) on the IEEE-30 bus system.
Main Results:
- The ISAOA demonstrated significant superiority over the standard SAOA in initial tests.
- Simulations confirmed the ISAOA's effectiveness in reducing power system losses.
- The ISAOA achieved greater power loss reductions compared to GWO, AEO, PSO, and AQA across three case studies.
Conclusions:
- The ISAOA is a highly effective evolutionary technique for engineering optimization.
- The ISAOA provides a superior method for optimizing TCSC placement to minimize power system losses.
- The proposed ISAOA offers a promising approach for enhancing electrical grid efficiency.
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In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:

