Power Flow Calculation Based on Block-encoded Adiabatic Quantum Newton-Raphson Method

Authors

• Shengchao Jiang, Guangxi Key Laboratory of Intelligent Control and Maintenance of Power Equipment, Electric Power Research Institute of Guangxi Power Grid Co ., Ltd., Nanning 530023, China
• Yunqing Pei, Guangxi Key Laboratory of Intelligent Control and Maintenance of Power Equipment, Electric Power Research Institute of Guangxi Power Grid Co ., Ltd., Nanning 530023, China
• Hongying Zhai, Guangxi Key Laboratory of Intelligent Control and Maintenance of Power Equipment, Electric Power Research Institute of Guangxi Power Grid Co ., Ltd., Nanning 530023, China
• Guojian Wu, School of Electrical Engineering, Guangxi University, Nanning 530004, China
• Fang Gao, School of Electrical Engineering, Guangxi University, Nanning 530004, China

Abstract

To overcome the efficiency bottleneck of the traditional Newton-Raphson (NR)method in high- dimensional power flow calculations for modern power systems and the constraints of variational quantum algorithm frameworks, this paper proposed a power flow calculation framework integrating block encoding technology and adiabatic quantum computing principles. Based on block encoding technology, adiabatic quantum theory, and the NR method, a block-encoded adiabatic quantum power flow calculation framework (BQ-NR) was constructed. The NR correction equations were mapped to a quantum system, and the quantum state encoding of the correction equations was realized by constructing an extended Hermitian matrix and a projection operator; a discrete adiabatic evolution scheme was designed, and the continuous Hamiltonian was transformed into a sequence of unitary operators executable on quantum circuits by using Trotter-Suzuki decomposition and block encoding technology, realizing the dynamic coupling of the quantum solver and classical algorithms.Experimental results show that when the discrete evolution step M ≥5×106, the BQ-NR method can achieve convergence within three iterations, and its error accuracy (on the order of 1×10−5) is comparable to that of the traditional NR method, which verifies the effectiveness of the block-encoded adiabatic quantum linear solver in solving correction equations; power flow calculation experiments verify the generalizability of the proposed algorithm, providing theoretical support for the engineering application of quantum computing in power system analysis.

Recommended Citation

Jiang, Shengchao; Pei, Yunqing; Zhai, Hongying; Wu, Guojian; and Gao, Fang (2026) "Power Flow Calculation Based on Block-encoded Adiabatic Quantum Newton-Raphson Method," Journal of System Simulation: Vol. 38: Iss. 5, Article 21.
DOI: 10.16182/j.issn1004731x.joss.25-0506
Available at: https://dc-china-simulation.researchcommons.org/journal/vol38/iss5/21

First Page

1453

Last Page

1465

CLC

TP391.9

Recommended Citation

Jiang Shengchao, Pei Yunqing, Zhai Hongying, et al. Power Flow Calculation Based on Block-encoded Adiabatic Quantum Newton-Raphson Method[J]. Journal of System Simulation, 2026, 38(5): 1453-1465.

Corresponding Author

Gao Fang

DOI

10.16182/j.issn1004731x.joss.25-0506