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arXiv:2204.14028

Quantum Computing for Power Flow Algorithms: Testing on real Quantum Computers

Brynjar Sævarsson, Spyros Chatzivasileiadis, Hjörtur Jóhannsson, Jacob Østergaard

Published Apr 29, 2022• 26 citations
arXivHTMLPDF

Abstract

Quantum computing has the potential to solve many computational problems exponentially faster than classical computers. The high shares of renewables and the wide deployment of converter-interfaced resources require new tools that shall drastically accelerate power system computations, including optimization and security assessment, which can benefit from quantum computing. To the best of our knowledge, this is the first paper that goes beyond quantum computing simulations and performs an experimental application of Quantum Computing for power systems on a real quantum computer. We use five different quantum computers, apply the HHL quantum algorithm, and examine the impact of current noisy quantum hardware on the accuracy and speed of an AC power flow algorithm. We perform the same studies on a 3-bus and a 5-bus system with real quantum computers to identify challenges and open research questions related with the scalability of these algorithms.

DOI
10.48550/arxiv.2204.14028

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Quantum computing has the potential to solve many computational problems exponentially faster than classical computers. The high shares of renewables and the wide deployment of converter-interfaced resources require new tools that shall drastically accelerate power system computations, including optimization and security assessment, which can benefit from quantum computing. To the best of our knowledge, this is the first paper that goes beyond quantum computing simulations and performs an experimental application of Quantum Computing for power systems on a real quantum computer. We use five different quantum computers, apply the HHL quantum algorithm, and examine the impact of current noisy quantum hardware on the accuracy and speed of an AC power flow algorithm. We perform the same studies on a 3-bus and a 5-bus system with real quantum computers to identify challenges and open research questions related with the scalability of these algorithms.
In this paper, we model and solve a fundamental power system problem, i.e., DC power flow, using a practical quantum computer. The Harrow-Hassidim-Lloyd (HHL) quantum algorithm is used to solve the DC power flow problem. The HHL algorithm for the solution of a system of linear equations (SLE) offers an exponential speedup over the classical computers. The speedup advantage is more significant when the size and the frequency of solving the power flow problem become more substantial. Verified quantum computing applications to power systems are merely nonexistent at this point. Through this paper, we plan to (1) provide a proof-of-concept that practical power system problems can be solved using quantum technology, (2) build a quantum-grid foundation by solving a fundamental power system problem with applications in many other critical grid problems, and (3) apply HHL to solve an SLE which has broad applications in many power system problems. A small 3-bus system is used for testing and demonstration purposes, considering the limitations of the available quantum computing hardware and software. The proposed method's merits and effectiveness are demonstrated using IBM open-source quantum computer and reported through proof-of-concept experimental demonstration using a 4-qubit quantum information processor.
This research investigates the transformative potential of Quantum Power Flow (QPF) in power systems analysis. Leveraging quantum computing principles, the study explores quantum algorithms for power flow simulations to enhance computational efficiency andsolution accuracy. The Quantum Power Flow method is introduced, addressing challenges arising from the growing complexity of power systems, especially with increased renewable energy integration. The mathematical foundation of the Quantum Power Flow method is detailed, emphasizing quantum parallelism and computational advantages. Experimental validation, simulations, and research case studies collectively establish the practical viability and versatility of the proposed quantum approach. A 5 and 3-bus power system case study illustrates its applicability.Acknowledging current quantum computing challenges, including error susceptibility, the study highlights ongoing advancements and error correction mechanisms' potential to overcome limitations. The research concludes by discussing broader implications of quantum power system analysis and outlining future research avenues. In summary, this research comprehensively explores Quantum Power Flow, offering theoretical insights and practical demonstrations. As quantum computing evolves, this study contributes to the paradigm shift in power system analysis, opening new horizons for research and application..
Practical quantum computing applications to power grids are nonexistent at the moment. This paper investigates how a fundamental grid problem, namely DC power flow, can be solved using quantum computing. Power flow is the most widely used power system analysis technique, either as a stand-alone application or embedded in other applications; therefore, its fast and accurate solution is of utmost significance for grid operators. We base our studies on the Harrow-Hassidim-Lloyd (HHL) quantum algorithm, which has a proven theoretical speedup over classical algorithms in solving a system of linear equations. Practical studies on a quantum computer are conducted using the WSCC 9-bus system.
Quantum computing has emerged as a promising computational paradigm to address unresolved challenges in the modeling and control of modern power systems. However, most existing studies focus on offline simulations, and a practical framework for validating quantum algorithms in real-time operational environments remains lacking. This study proposes a quantum hardware-in-the-loop framework that integrates a real-time digital simulator with quantum and quantum-inspired hardware to solve combinatorial power flow and optimal power flow formulations under dynamic operating conditions. The proposed framework is validated using the IEEE 9- bus test system and a modified version with integrated solar and wind farms. The results confirm successful integration and convergence within a predefined tolerance. The study also identifies key limitations and challenges, such as limited access to quantum and digital annealers and current scalability limitations, that must be considered in future developments. Nevertheless, the results highlight the potential of quantum computing to significantly enhance the modeling and control of future power systems with high penetration of renewable energy sources.
The rapid development of quantum computing has provided a ground-breaking tool for solving problems that are insurmountable on classical computers. In the power system domain, quantum computing is still in the nascent stage, with limited but ongoing studies. The Quantum Approximation Optimization Algorithm (QAOA) has been applied in solving several NPhard problems and can be further studied to address challenging problems in power systems. Key applications include contingency analysis, optimal power flow, and unit commitment, among others. With the significant integration of renewable energy, the intermittent nature of renewable energy introduces substantial volatility to the system. An overhead contingency analysis is required to evaluate the possible system outage scenarios, which will identify critical contingencies to maintain system stability. However, the contingency analysis is a prototypical NP-Hard problem, requiring substantial classical computation resources. In this work, QAOA is developed for theN−kN-kN−kcontingency analysis on line contingency as well as the general contingency scenarios, with the aim of minimizing the shedding of the power load while ensuring the power flow constraints. A tailored objective function is developed to encode theN−kN-kN−kcontingency condition as well as the power flow loss constraints into a problem Hamiltonian for QAOA computation. The developed method is verified on IEEE 9- and 14-bus systems compared with classical methods as the baseline. In addition, a QAOA parameter study including the number of QAOA parameters, the number of repetitions of the quantum circuits execution, and the number of iteration steps of the classical optimization algorithm, is conducted to offer insights for the parameter tuning under different problem sizes. This work is anticipated to establish a quantum framework for solving critical and complex power system problems in the Noisy intermediate-scale quantum (NISQ) era.
Quantum computing aims to outperform classical computers for some specific calculations. It relies on the additional resources given by the qubit superposition states, which can be used to design more efficiently. Reversibility of quantum computation may help in solving NP problems, which are easy in one direction but hard in the opposite sense. Quantum computers can enhance data processing and analysis tasks. The potential impact of quantum algorithms on optimization problems, simulation of quantum systems, and machine learning tasks such as clustering and classification. It also includes efforts to standardize quantum hardware and software interfaces, enabling interoperability and accelerating the adoption of quantum computing. The barriers we face while adopting Quantum computing are the accuracy of the information, lack of technical experts, and organizational interest in adopting the new process. We find one more critical barrier is the lack of standards of secure communication techniques while adopting quantum computing. While numerous challenges lie ahead, the promise of quantum computing in solving complex problems and driving innovation is too significant to ignore. We will examine the existing quantum algorithms and applications that have demonstrated quantum advantage or potential utility in various domains. The quantum computing field is expected to transition from physical qubits to error-corrected logical qubits. AI is likely to be unleashed by quantum computing for formidable progress advances in speed, cost, and algorithm learning function. Quantum computing solves one or two problems, with little practical use, and costs a fortune to run. Additionally, we will assess the challenges associated with scaling up quantum systems, addressing the issues of quantum coherence, error correction, and noise reduction.