波形松弛技术在电力转换器控制器与电气电路模型联合仿真中的应用
Application of the Waveform Relaxation Technique to the Co-Simulation of Power Converter Controller and Electrical Circuit Models
AI总结：
本文提出利用波形松弛技术联合仿真PID类电力转换器控制器与电气电路模型，通过固定步长和自适应步长方案分别模拟控制器和电路，并分析算法迭代次数，以大环形对准器电路为例展示控制器与电路耦合概念。
摘要：
本文提出利用波形松弛技术联合仿真PID类电力转换器控制器与电气电路模型。控制器模型的仿真采用固定时间步长方案以反映其数字实现，而电路仿真通常采用自适应时间步长方案以应对电路模型中广泛的时间常数。为保持两种模型的特性并便于模型替换，我们通过输入/输出关系将它们分开，并提出波形松弛算法的应用。此外，对所提算法的最大和最小迭代次数进行了数学分析。通过PI电力转换器控制器与大型强子对撞机主双极电路模型的联合仿真，展示了控制器/电路耦合的概念。
英文摘要：
In this paper we present the co-simulation of a PID class power converter controller and an electrical circuit by means of the waveform relaxation technique. The simulation of the controller model is characterized by a fixed-time stepping scheme reflecting its digital implementation, whereas a circuit simulation usually employs an adaptive time stepping scheme in order to account for a wide range of time constants within the circuit model. In order to maintain the characteristic of both models as well as to facilitate model replacement, we treat them separately by means of input/output relations and propose an application of a waveform relaxation algorithm. Furthermore, the maximum and minimum number of iterations of the proposed algorithm are mathematically analyzed. The concept of controller/circuit coupling is illustrated by an example of the co-simulation of a PI power converter controller and a model of the main dipole circuit of the Large Hadron Collider.
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