Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Efficient simulation of DC‐AC power converters using multirate partial differential equations
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields ( IF 1.6 ) Pub Date : 2019-11-08 , DOI: 10.1002/jnm.2683
Andreas Pels 1, 2, 3 , Ruth V. Sabariego 3 , Sebastian Schöps 1, 2
Affiliation  

Switch‐mode power converters are used in various applications to convert between different voltage (or current) levels. They use transistors to switch on and off the input voltage to generate a pulsed voltage whose arithmetic average is the desired output voltage of the converter. After smoothening by filters, the converter output is used to supply devices. The simulation of these switch‐mode power converters by conventional time discretization is computationally expensive since a high number of time steps is necessary to properly resolve the unknown state variables and detect switch events of the excitation. This paper proposes a multirate method based on the concept of multirate partial differential equations (MPDEs), which splits the solution into fast varying and slowly varying parts. The method is designed to work with pulse‐width modulated (PWM) excitation with a constant switching cycle and varying duty cycle. It is applicable to problems in which the circuit part generating the pulsed voltage, i.e., consisting of transistors, diodes, and voltage sources, can be approximated by an ideal PWM excitation. Switching‐event detection is no longer necessary and a much smaller number of time steps are required for a decent resolution, thus leading to a highly efficient method. The important case of varying duty cycles in the MPDE framework is addressed for the first time.

中文翻译:

使用多速率偏微分方程对DC-AC电源转换器进行高效仿真

开关电源转换器用于各种应用中,以在不同的电压(或电流)电平之间进行转换。他们使用晶体管来接通和关断输入电压,以产生脉冲电压,该脉冲算术平均值是转换器所需的输出电压。通过滤波器进行平滑后,转换器输出将用于为设备供电。通过传统的时间离散化对这些开关模式功率转换器进行仿真的计算量很大,因为需要大量的时间步长才能正确解析未知状态变量并检测励磁的开关事件。本文提出了一种基于多速率偏微分方程(MPDE)概念的多速率方法,该方法将解决方案分为快速变化部分和缓慢变化部分。该方法设计用于具有恒定开关周期和变化占空比的脉宽调制(PWM)激励。它适用于这样的问题,其中产生脉冲电压的电路部分(即由晶体管,二极管和电压源组成)可以通过理想的PWM激励来近似。不再需要切换事件检测,并且为实现良好的分辨率而需要的时间步长要少得多,因此可以实现一种高效的方法。MPDE框架中占空比变化的重要案例首次得到解决。不再需要切换事件检测,并且为实现良好的分辨率而需要的时间步长要少得多,因此可以实现一种高效的方法。MPDE框架中占空比变化的重要案例首次得到解决。不再需要切换事件检测,并且为实现良好的分辨率而需要的时间步长要少得多,因此可以实现一种高效的方法。MPDE框架中占空比变化的重要案例首次得到解决。
更新日期:2019-11-08
down
wechat
bug