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A Novel Fourier Series Simulation Tool for Pulsewidth Modulation (PWM) in Pulsed Power Systems

机译：用于脉冲电源系统中脉宽调制（PWM）的新型傅里叶级数仿真工具

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PWM is an efficient power transfer mechanism in switch mode power supplies (PSU) and in speed and torque control of electric motors. Power dispatch is effected by PWM regulators in PSUs while variable voltage and frequency control of motors is achieved with sinusoidal reference PWM inverter amplifiers. Hence this pulse strategy can be used in power supply control of magnetic field currents for improved tokamak plasma confinement. Wide bandwidth current control is achieved in motor drives by natural sampled PWM because of its inherent simplicity and ease of implementation using analog comparator circuitry. For this reason a tractable mathematical model of the natural sampled PWM process is required for accurate simulation of such devices before hardware construction for performance related prediction and evaluation of plasma confinement control. In this paper a novel description of PWM is presented using a modulated Fourier series (MFS) for modelling, spectral analysis and rapid PWM inverter simulation in pulsed power applications. The MFS time function consists of a sum of sinusoidal carrier basis functions with time dependent amplitudes incorporating the modulated pulsewidth determined by the control current reference signals. Arbitrary non periodic signals are easily accommodated for rapid device simulation and performance evaluation. The MFS eliminates the need for accurate pulse edge transition searches during PWM inverter simulation because of the analytical expression for the time dependent modulated amplitudes, which contain the encoded signal information.
机译：在开关模式电源（PSU）以及电动机的速度和转矩控制中，PWM是一种有效的功率传输机制。电源分配由PSU中的PWM调节器实现，而电动机的可变电压和频率控制则通过正弦参考PWM逆变器放大器实现。因此，该脉冲策略可用于磁场电流的电源控制中，以改善托卡马克等离子体限制。由于其固有的简单性和易于使用模拟比较器电路实现的特性，因此可以通过自然采样的PWM在电机驱动器中实现宽带电流控制。因此，在硬件构造进行性能相关的预测和等离子约束控制评估的硬件构造之前，需要自然采样的PWM过程的易处理的数学模型来对此类设备进行精确的仿真。在本文中，使用调制傅里叶级数（MFS）对脉冲功率应用中的建模，频谱分析和快速PWM逆变器仿真进行了新颖的PWM描述。 MFS时间函数由正弦载波基函数之和组成，这些函数具有随时间变化的幅度，并包含由控制电流参考信号确定的调制脉冲宽度。任意非周期性信号都可以轻松容纳，以进行快速的设备仿真和性能评估。 MFS消除了在PWM逆变器仿真过程中进行精确的脉冲边沿转换搜索的需要，这是因为包含时间信号的已调制幅度的解析表达式包含编码信号信息。

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