Scholarlink

<p>This paper presents an approach for solving the load flow problem (LFP) in large-scale electrical power systems, suitable for situations where the system is numerically ill-conditioned and solved in an iterative way. The problem involves applying a conditioning step to the initial iterate of the LFP and then solving it. The investigation uses a technique based on Tikhonov’s regularization for the conditioning stage. The regularization process is applied only to the LFP Jacobian matrix for the first iteration. Hence, the ‘partial’ name is used here, considering all the LFP iterations. The technique is implemented for two situations, one of which avoids the product of the Jacobian matrix by its transpose. Through comparative analysis involving the Newton–Raphson (NR) method, alternative perturbation techniques, and the Heun–King-Werner (HKW) method, the study highlights the effectiveness of the conditioning step in promoting convergence, particularly in cases where the NR method and HKW are unable to converge without this step. The efficacy of the proposed technique is demonstrated through simulations performed on five large-scale and ill-conditioned power system models, including one with more than 109,000 buses. Simulations considering loading near the maximum value for the system, reactive power limits of generators, and contingency cases were also studied.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Partial Tikhonov Regularization Applied to the Solution of the Load Flow Problem in Large-Scale and Ill-Conditioned Power Systems

  • 期刊论文

  • 发表日期：

    2025年12月16日

查看全文
  • Laice Neves de Oliveira,
  • Francisco Damasceno Freitas

摘要

This paper presents an approach for solving the load flow problem (LFP) in large-scale electrical power systems, suitable for situations where the system is numerically ill-conditioned and solved in an iterative way. The problem involves applying a conditioning step to the initial iterate of the LFP and then solving it. The investigation uses a technique based on Tikhonov’s regularization for the conditioning stage. The regularization process is applied only to the LFP Jacobian matrix for the first iteration. Hence, the ‘partial’ name is used here, considering all the LFP iterations. The technique is implemented for two situations, one of which avoids the product of the Jacobian matrix by its transpose. Through comparative analysis involving the Newton–Raphson (NR) method, alternative perturbation techniques, and the Heun–King-Werner (HKW) method, the study highlights the effectiveness of the conditioning step in promoting convergence, particularly in cases where the NR method and HKW are unable to converge without this step. The efficacy of the proposed technique is demonstrated through simulations performed on five large-scale and ill-conditioned power system models, including one with more than 109,000 buses. Simulations considering loading near the maximum value for the system, reactive power limits of generators, and contingency cases were also studied.