arXiv:2603.17836eess.SYcs.LG2026-03

提出物理启发的代理模型在电力系统仿真中验证与校验的新框架

Verification and Validation of Physics-Informed Surrogate Component Models for Dynamic Power-System Simulation

  • 将代理模型在仿真器中的使用建模为验证与校验问题
  • 发现独立准确的代理模型在仿真中仍可能失准,尤其在重载工况下
  • 强调方程残差小不等于状态轨迹误差小,适合电网仿真研发人员

物理启发的机器学习代理模型正被广泛用于加速发电机、变换器等电力系统组件的动态仿真。核心问题不仅在于代理模型是否在独立运行时平均匹配原模型,更在于其输出插入微分-代数仿真器后,是否仍保持准确性——因为代理输出会进入耦合组件与系统其余部分的代数方程。本文将此在仿真器内的使用定义为验证与校验(V&V)问题,推导出有限时域下的误差边界,该边界关联了允许的组件输出误差、代数耦合敏感度、动态误差放大系数及仿真时长。研究了两种互补设置:基于模型的验证(对比参考组件求解器)和基于数据的验证(通过保形校准与仿真器交换的组件输出变量)。该框架具有一般性,案例研究聚焦于二阶、四阶和六阶同步机模型的物理启发神经网络代理。结果表明:独立准确的代理模型无法保证仿真中的准确性;最大偏差集中于系统重载运行区域;方程残差小并不必然意味着状态轨迹误差小。

原文摘要 · Abstract (English)

Physics-informed machine learning surrogates are increasingly explored to accelerate dynamic simulation of generators, converters, and other power grid components. The key question, however, is not only whether a surrogate matches a stand-alone component model on average, but whether it remains accurate after insertion into a differential-algebraic simulator, where the surrogate outputs enter the algebraic equations coupling the component to the rest of the system. This paper formulates that in-simulator use as a verification and validation (V\&V) problem. A finite-horizon bound is derived that links allowable component-output error to algebraic-coupling sensitivity, dynamic error amplification, and the simulation horizon. Two complementary settings are then studied: model-based verification against a reference component solver, and data-based validation through conformal calibration of the component-output variables exchanged with the simulator. The framework is general, but the case study focuses on physics-informed neural-network surrogates of second-, fourth-, and sixth-order synchronous-machine models. Results show that good stand-alone surrogate accuracy does not by itself guarantee accurate in-simulator behavior, that the largest discrepancies concentrate in stressed operating regions, and that small equation residuals do not necessarily imply small state-trajectory errors.

电力系统代理模型仿真验证物理信息

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