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A frequency-domain equivalent-based approach to compute periodic steady-state of electrical networks

机译：基于频域等效方法的电网周期性稳态计算

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摘要

An alternative hybrid time/frequency domain approach to compute the periodic steady-state of an electrical network is presented. The network under analysis can include a variety of linear and nonlinear components, e.g., PV-buses, nonlinear reactors, and electronic devices. In the proposed approach, the linear part of the network is modeled in the frequency-domain (FD) via an equivalent input-admittance and all nonlinear components but PV-buses are resolved in the time-domain (TD). The FD equivalent is interfaced to the nonlinear components via discrete Fourier transform (OFT) operations, accounting for harmonic and interharmonic frequencies. The interfacing voltage/current variables are solved through a global Gauss-Seidel procedure; PV-buses are solved via a local Newton-type iterative procedure. It is shown that the proposed approach achieves faster computations than traditional hybrid methods due to (i) the compact FD equivalent representation of the linear part of the network and (ii) the Gauss-Seidel iterative scheme that avoids calculation and inversions of Jacobians. A sample network is used to compare the proposed method with a Newton-type solution scheme; the resulting waveforms are also compared with those given by the PSCAD (TM)/EMTDC (TM) simulation software. (C) 2015 Elsevier B.V. All rights reserved.
机译：提出了一种可替代的时/频域混合计算方法，用于计算电网的周期性稳态。被分析的网络可以包括各种线性和非线性组件，例如PV总线，非线性电抗器和电子设备。在所提出的方法中，网络的线性部分通过等效的输入导纳在频域（FD）中建模，而除PV总线外的所有非线性分量都在时域（TD）中解析。 FD等效项通过离散傅立叶变换（OFT）操作连接到非线性组件，考虑了谐波和间谐波频率。接口电压/电流变量通过全局高斯-赛德尔程序求解。通过局部牛顿型迭代过程求​​解PV总线。结果表明，由于（i）网络线性部分的紧凑FD等效表示和（ii）避免了Jacobian计算和反演的Gauss-Seidel迭代方案，所提出的方法比传统的混合方法实现了更快的计算。使用样本网络将所提出的方法与牛顿型解决方案进行比较；还将所得的波形与PSCAD（TM）/ EMTDC（TM）仿真软件给出的波形进行比较。 （C）2015 Elsevier B.V.保留所有权利。

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