Offshore well elevation systems often present limit cycles caused by oil-gas slugging. The latest works in control solutions use models based on simple Ordinary Differential Equations to suppress slug flow and increase overall production. However, obtaining parameters for these models is not straightforward due to the occurrence of Hopf bifurcations. Therefore, this work aims to propose a novel methodology to improve parameter estimation. The limit cycle readings of pressure instruments are condensed into a single characteristic cycle with mean value and variance for each sample. Each iteration then uses a modified weighted sum of least squares. This creates a more convex region around the optimum that improves the performance of optimization algorithms. The results were obtained using previously published data for two models. Using the F-test, it was statistically proven that the parameters obtained from the proposed method provided an equivalent or better model fit by employing strictly numeric methods.

海上油井高架系统通常会出现由油气段塞引起的极限循环。控制解决方案中的最新作品使用基于简单常微分方程的模型来抑制团状流并提高整体产量。但是，由于出现Hopf分支，因此无法直接获得这些模型的参数。因此，这项工作旨在提出一种新颖的方法来改善参数估计。压力仪器的极限循环读数被压缩成一个具有每个样本均值和方差的单个特征循环。然后，每次迭代都使用修改后的最小二乘加权和。这在优化周围创建了一个更凸的区域，从而提高了优化算法的性能。结果是使用先前发布的两个模型的数据获得的。使用F检验，