论文标题
正确选择obreshkov的数值积分器，用作电源系统瞬态模拟的数值差异化器
Proper Selection of Obreshkov-Like Numerical Integrators Used as Numerical Differentiators for Power System Transient Simulation
论文作者
论文摘要
类似于Obreshkov的数值集成符已广泛应用于功率系统瞬态模拟。滥用数值积分器作为数值差异化可能会导致数值振荡或偏差。在本文中提出了将其用作数值差异化的数值积分器的标准，以避免这些误导现象。最高衍生物的数值积分器的系数结果确定其适用性。根据拟议的标准检查了一些现有的Obreshkov样数值集成商。据透露，通过使用向后的Euler方法在几个时间步长的几个时间步长的情况下，不能总是消除由隐式梯形方法诱导的臭名昭著的数值振荡。在提出的标准的指导下，提出了考虑二阶导数的频率响应优化的积分器，该集成量适用于数值差异化器。通过案例研究在时域中证明了理论观察。该论文指出了如何正确选择电源系统瞬态模拟的数值集成商，并有助于防止其滥用。
Obreshkov-like numerical integrators have been widely applied to power system transient simulation. Misuse of the numerical integrators as numerical differentiators may lead to numerical oscillation or bias. Criteria for Obreshkov-like numerical integrators to be used as numerical differentiators are proposed in this paper to avoid these misleading phenomena. The coefficients of a numerical integrator for the highest order derivative turn out to determine its suitability. Some existing Obreshkov-like numerical integrators are examined under the proposed criteria. It is revealed that the notorious numerical oscillations induced by the implicit trapezoidal method cannot always be eliminated by using the backward Euler method for a few time steps. Guided by the proposed criteria, a frequency response optimized integrator considering second order derivative is put forward which is suitable to be used as a numerical differentiator. Theoretical observations are demonstrated in time domain via case studies. The paper points out how to properly select the numerical integrators for power system transient simulation and helps to prevent their misuse.
