论文标题
一种用于本地化强制振荡的复杂范围方法
A Complex-LASSO Approach for Localizing Forced Oscillations in Power Systems
论文作者
论文摘要
我们研究了使用嘈杂的PMU测量值来估算强迫振荡（FOS）的多个来源的问题，例如频率，相和幅度。对于每个源位置，我们将输入振荡建模为未知正弦项的总和。这使我们能够在频域中未知正弦曲线频率处的测量和输入之间获得线性关系。我们通过阈值噪声测量的经验光谱来确定这些频率。假设FOS位置的数量和每个位置的正弦数中的稀疏性，我们将位置恢复问题作为$ \ ell_1 $ regultization forgundized forminalized forminalized forgundized formantized formantized rasso（即，线性收缩和选择操作员）。我们使用复杂值坐标下降法解决了该优化问题，并在IEEE 68-BUS，16机器和WECC 179-BUS，29-Machine Systems上显示了其效率。
We study the problem of localizing multiple sources of forced oscillations (FOs) and estimating their characteristics, such as frequency, phase, and amplitude, using noisy PMU measurements. For each source location, we model the input oscillation as a sum of unknown sinusoidal terms. This allows us to obtain a linear relationship between measurements and the inputs at the unknown sinusoids' frequencies in the frequency domain. We determine these frequencies by thresholding the empirical spectrum of the noisy measurements. Assuming sparsity in the number of FOs' locations and the number of sinusoids at each location, we cast the location recovery problem as an $\ell_1$-regularized least squares problem in the complex domain -- i.e., complex-LASSO (linear shrinkage and selection operator). We numerically solve this optimization problem using the complex-valued coordinate descent method, and show its efficiency on the IEEE 68-bus, 16 machine and WECC 179-bus, 29-machine systems.
