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IEEE Access

Quantum Algorithms’ Approach: A Case Study on Bladeless Wind Turbine and Solar Panel

Piyush Kumar Sinha, R. Marimuthu

Published Jan 1, 2025• 3 citations
Publisher

Abstract

The researched data shows that quantum algorithms have been mostly used for battery’s chemistry and conventional grid systems. These algorithms have proved to be computationally cheaper as a common meritorious aspect in almost all implementations. However, usage of quantum algorithms to integrate two renewable energy systems is yet to be explored. This study investigates the application of quantum algorithms—Variational Quantum Eigensolver (VQE), Variational Quantum Deflation (VQD), Quantum Approximate Optimization Algorithm (QAOA), and Quantum Amplitude Estimation (QAE)—to optimize energy extraction from solar panels and bladeless wind turbines. Nine different optimizers are used on 3066 and 11547 datapoints of wind and solar respectively, to comment about optimality between QAOA, VQD and VQE. Results demonstrate that optimizers like NELDER_MEAD and COBYLA excel in convergence speed, whereas in case of energy minimization SPSA and SLSQP for VQE, COBYLA and P_BFGS for VQD have outperformed other optimizers. QAOA effectively tackles combinatorial optimization tasks as convergence speed for all optimizers has been relatively rapid. Since VQE, VQD and QAOA have not been accurate in finding optimal data point, hence QAE is utilized. Additionally, QAE’s precision in amplifying high-probability quantum states aligns well with the periodic and structured nature of wind and solar energy datasets.

DOI
10.1109/access.2025.3570393

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•Mar 17, 2025•1 citation
The researched data shows that quantum algorithms have been mostly used for battery’s chemistry and conventional grid systems. These algorithms have proved to be computationally cheaper as a common meritorious aspect in almost all implementations. However, usage of quantum algorithms to integrate two renewable energy systems is yet to be explored. This study investigates the application of quantum algorithms—Variational Quantum Eigensolver (VQE), Variational Quantum Deflation (VQD), Quantum Approximate Optimization Algorithm (QAOA), and Quantum Amplitude Estimation (QAE)—to optimize energy extraction from solar panels and bladeless wind turbines. Nine different optimizers are used on 3066 and 11547 datapoints of wind and solar respectively, to comment about optimality between QAOA, VQD and VQE. Results demonstrate that optimizers like NELDER_MEAD and COBYLA excel in convergence speed, whereas in case of energy minimization SPSA and SLSQP for VQE, COBYLA and P_BFGS for VQD have outperformed other optimizers. QAOA effectively tackles combinatorial optimization tasks as convergence speed for all optimizers has been relatively rapid. Since VQE, VQD and QAOA have not been accurate in finding optimal data point, hence QAE is utilized. Additionally, QAE’s precision in amplifying high-probability quantum states aligns well with the periodic and structured nature of wind and solar energy datasets.
This study compares seven quantum algorithms—Variational Quantum Eigensolver (VQE), Variational Quantum Deflation (VQD), Quantum Approximate Optimization Algorithm (QAOA), Quantum Amplitude Estimation (QAE), Quantum Neural Networks (QNN), a novel integration of Quantum Parallel Multi-layer Monte Carlo (QPMC) with QAE proposed in this work, and Quantum-Inspired Evolutionary Optimization (QIEO) to optimize power extraction from photovoltaic (PV) panels and bladeless wind turbines (BI-WT). The analysis considers key parameters, including effective open-circuit voltage (VOC) of the series-connected PV modules ranging from 85.54V to 89.74V, short-circuit current (ISC) between 2.81A and 21.47A, wind speed (v) spanning from 0.6m/s to 22.3m/s, and solar irradiance (Gθ) varying from 119W/m2to 924W/m2. VQE and VQD optimize power output effectively, with VQE converging faster. QAOA remains stable but does not always reach optimal power values. QAE estimates power output with high accuracy, aligning with experimental data. QNN achieves lower validation loss when trained for 200 epochs, demonstrating improved generalization. The QPMC with QAE method estimates power output fluctuations with minimal deviation. QIEO exhibits enhanced optimization, with population sizes above 250 individuals leading to stable power output maximization.
The design and operation of renewable energy conversion systems—such as wind turbines, solar photovoltaic arrays, and hybrid storage networks—require balancing multiple, often conflicting objectives, including energy efficiency, cost minimization, environmental impact, and system reliability. Traditional optimization techniques, while effective for isolated parameters, struggle with the combinatorial complexity and nonlinear interdependencies inherent to integrated energy systems. This study explores the application of quantum optimization algorithms in multi-objective renewable energy design, emphasizing how quantum annealing, Quantum Approximate Optimization Algorithm (QAOA), and Variational Quantum Eigensolver (VQE) frameworks can accelerate solution discovery and improve design precision. By leveraging the principles of superposition and entanglement, quantum systems can process vast design spaces in parallel, enabling the rapid evaluation of trade-offs among competing objectives. A hybrid quantum–classical workflow is proposed to integrate quantum solvers into existing computational pipelines for system simulation, control optimization, and energy forecasting. Preliminary modeling results and conceptual simulations indicate that quantum-enhanced optimization not only reduces computation time but also achieves higher Pareto-optimal efficiency compared to conventional multi-objective genetic algorithms and particle swarm optimizers. This interdisciplinary approach demonstrates the transformative potential of quantum computation in sustainable energy system design, supporting the global transition toward carbon neutrality and energy equity. By embedding quantum optimization into renewable infrastructure development, the study provides a foundation for next-generation decision-making frameworks that harmonize performance, sustainability, and scalability.
This study compares classical and quantum optimization algorithms for maximizing total power output from a hybrid renewable energy system comprising PV panels and Bl-WT. Classical methods include PSO, SA, CRO, FTMA, CSA, JA, GA, and FL. PSO achieved the fastest convergence at 19 iterations with a peak of 7700 W, while JA reached the highest output of 7820 W in 81 iterations. GA and CSA converged at 99 iterations with 7730 W and 6900 W respectively, FTMA achieved 7750 W in 119 iterations, and SA matched JA’s maximum of 7820 W but required 999 iterations. FL delivered 7250 W without a defined convergence profile. Quantum approaches: VQE, VQD, QAOA, QAE, and QPMC-QAE have shown distinctive capabilities. QAOA with SLSQP converged in 19 iterations to a Hamiltonian minimum of −4.3, while AQGD reached convergence in 3 iterations at −1.0. VQE attained minima near −8.0 with NELDER-MEAD in 125 iterations, and VQD produced excited states with iteration counts from 378 (SLSQP) to 2569 (AQGD). QAE and QPMC-QAE stably predicted power outputs up to ∼7200 W, with QPMC-QAE closely matching actual data and demonstrating scalability across datasets. Results indicate PSO and QAOA as the fastest in classical and quantum domains, JA and SA as delivering the highest classical outputs, and QPMC-QAE as the most reliable quantum estimation method for complex hybrid energy optimization.
Quantum computing is emerging as a key tool for enhancing energy management, particularly in areas like resource allocation and renewable energy distribution. Although fault-tolerant quantum computers are still in development, current Noisy Intermediate-Scale Quantum (NISQ) technology shows promise for solving optimization problems using variational quantum algorithms. In this paper, the energy distribution problem for a community with one battery is solved using the Quantum Approximate Optimization Algorithm (QAOA) and the Variational Quantum Eigensolver (VQE) in quantum circuit simulators. This proof of concept provides insights into their potential and limitations for real-world energy applications.
The rapid evolution of quantum computing has introduced groundbreaking approaches to solving complex optimization problems, traditionally limited by classical methods. This talk explores the principles and applications of quantum optimization, with a focus on Variational Quantum Algorithms (VQAs). These algorithms, including the Variational Quantum Eigensolver (VQE) and Quantum Approximate Optimization Algorithm (QAOA), leverage hybrid quantum-classical systems to address challenges in diverse fields such as combinatorial optimization, quantum chemistry, and material design. Attendees will gain insights into the theoretical foundations of quantum computing, the operational mechanics of quantum circuits, and the integration of quantum programming tools like Qiskit. Practical examples and demonstrations will highlight how VQAs outperform classical methods in specific scenarios, offering a transformative perspective on optimization in the quantum era.
The increasing complexity of modern power grids, driven by the integration of renewable energy sources, decentralized energy generation, and dynamic load variations, necessitates advanced computational approaches for efficient grid optimization. Conventional algorithms often struggle with the high-dimensionality and computational intensity of power system optimization problems, prompting the exploration of quantum computing as a transformative alternative. Quantum computing, particularly quantum machine learning (QML) and quantum optimization algorithms, has demonstrated significant potential in accelerating grid stability analysis, energy dispatch, and fault detection. This chapter provides a comprehensive investigation into quantum computing applications for power electronics, focusing on quantum-inspired machine learning models and hybrid quantum-classical frameworks for IoT-enabled smart grids. The potential advantages of quantum algorithms, including the Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolver (VQE), and Grover’s search algorithm, are analyzed in the context of grid optimization, fault detection, and cybersecurity. Additionally, a comparative analysis of classical and quantum machine learning techniques highlights key performance differences and the challenges associated with practical quantum implementations. Despite the promising advancements, several challenges, including quantum hardware limitations, noise susceptibility, and scalability issues, must be addressed for real-world deployment. Future directions emphasize the need for noise-resilient quantum algorithms, efficient hybrid architectures, and quantum-inspired classical methods to bridge the gap between existing computational techniques and next-generation quantum solutions for power grid management.