论文标题
频率稳定性受限的单位承诺：使用伯恩斯坦多项式的紧密近似
Frequency Stability-Constrained Unit Commitment: Tight Approximation using Bernstein Polynomials
论文作者
论文摘要
当我们用可再生能源代替常规同步发电机时，电力系统的频率安全性较高。这要求更仔细考虑单位承诺（UC）和主要频率响应（PFR）储备。本文研究了在明显的风能不确定性下频率固定的UC。我们协调热单元和风电场以提供频率支持，其中我们优化了风电场的可变逆变器下垂因子，以供高等经济体。此外，我们采用分配强大的机会限制（DRCC）来处理风力不确定性。为了描述频率动力学，我们将差分 - 代数方程（DAE）与死谱带结合到UC模型中。值得注意的是，我们应用伯恩斯坦多项式来得出DAE的紧密内部近似，并获得混合构成线性约束，可以在现成的求解器中计算出来。案例研究表明，提出的方法在保证频率安全性方面的紧密性和有效性。
As we replace conventional synchronous generators with renewable energy, the frequency security of power systems is at higher risk. This calls for a more careful consideration of unit commitment (UC) and primary frequency response (PFR) reserves. This paper studies frequency-secured UC under significant wind power uncertainty. We coordinate the thermal units and wind farms to provide frequency support, wherein we optimize the variable inverter droop factors of the wind farms for higher economy. In addition, we adopt distributionally robust chance constraints (DRCCs) to handle the wind power uncertainty. To depict the frequency dynamics, we incorporate a differential-algebraic equation (DAE) with the dead band into the UC model. Notably, we apply Bernstein polynomials to derive tight inner approximation of the DAE and obtain mixed-integer linear constraints, which can be computed in off-the-shelf solvers. Case studies demonstrate the tightness and effectiveness of the proposed method in guaranteeing frequency security.
