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数值凸透镜——实现兆瓦级电力电子系统广义混杂动力学行为的状态离散建模解算
Bochen Shi, Zhengming Zhao, Yicheng Zhu, Zhujun Yu, Jiahe Ju
工程（英文） ›› 2021, Vol. 7 ›› Issue (12) : 1766-1777.
PDF(3287 KB)
PDF(3287 KB)
数值凸透镜——实现兆瓦级电力电子系统广义混杂动力学行为的状态离散建模解算
A Numerical Convex Lens for the State-Discretized Modeling and Simulation of Megawatt Power Electronics Systems as Generalized Hybrid Systems
建模仿真已经成为构建虚拟数值实验平台和分析研究复杂工程系统必不可少的基础方法。然而，随着工程领域面对的系统越来越复杂，建模仿真方法也面临越来越大的挑战。这些复杂系统内部的动力学过程不仅包括连续状态，还包括离散事件，而且其动态过程跨越多个时间尺度。本文将这类复杂系统定义为“广义混杂系统”。兆瓦级电力电子系统是一类典型的广义混杂系统，已经被广泛应用于现代电网等多个关键领域，然而其建模解算仍然是一个瓶颈问题：要么计算时间太长，要么仿真不能收敛。为解决这一瓶颈问题，本文提出一种数值凸透镜方法，实现了广义混杂系统基于状态离散的建模解算。这一方法将传统的面向纯连续系统的时间离散仿真方法转变为面向广义混杂系统的状态离散仿真方法。本文将这一方法应用于一个面向新能源发电的大规模兆瓦级电力电子变换系统，与目前的通用仿真软件相比解算速度提高了1000倍。与此同时，所提方法首次实现了这一兆瓦级系统的开关瞬态仿真，仿真结果与实验测试结果相吻合，且仿真没有收敛性问题。本文提出的数值凸透镜方法实现了复杂的广义混杂系统多时间尺度动力学行为的高效建模解算，提升了工程领域基于虚拟数值实验认知和分析复杂动力学系统的能力。
Modeling and simulation have emerged as an indispensable approach to create numerical experiment platforms and study engineering systems. However, the increasingly complicated systems that engineers face today dramatically challenge state-of-the-art modeling and simulation approaches. Such complicated systems, which are composed of not only continuous states but also discrete events, and which contain complex dynamics across multiple timescales, are defined as generalized hybrid systems (GHSs) in this paper. As a representative GHS, megawatt power electronics (MPE) systems have been largely integrated into the modern power grid, but MPE simulation remains a bottleneck due to its unacceptable time cost and poor convergence. To address this challenge, this paper proposes the numerical convex lens approach to achieve state-discretized modeling and simulation of GHSs. This approach transforms conventional time-discretized passive simulations designed for pure-continuous systems into state-discretized selective simulations designed for GHSs. When this approach was applied to a largescale MPE-based renewable energy system, a 1000-fold increase in simulation speed was achieved, in comparison with existing software. Furthermore, the proposed approach uniquely enables the switching transient simulation of a largescale megawatt system with high accuracy, compared with experimental results, and with no convergence concerns. The numerical convex lens approach leads to the highly efficient simulation of intricate GHSs across multiple timescales, and thus significantly extends engineers' capability to study systems with numerical experiments.
广义混杂系统 / 兆瓦级电力电子 / 建模仿真 / 数值凸透镜
Generalized hybrid systems / Megawatt power electronics / Modeling and simulation / Numerical convex lens
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