基于混合潮流方程的区间潮流计算方法

Interval Power Flow Calculation Method Based on Mixed Power Flow Equations

结合仿射算术,区间非线性交流潮流方程可转化为仿射优化模型,克服了区间运算的保守性,但涉及三角函数繁琐的近似估计。基于此,提出了一类基于混合潮流方程的区间潮流计算方法。该方法首先利用交流潮流方程形成节点电压幅值/相角的仿射形式,再将该仿射形式代入线性化潮流方程中,形成关于噪声元的线性优化模型,以抑制区间扩张。含风电场的IEEE-30节点系统仿真结果表明,该方法得到的区间边界与蒙特卡洛方法结果较为接近,较仿射方法的区间边界更窄,且效率更高。

The interval nonlinear AC power flow equation, which can be transformed to the affine optimization model by means of affine arithmetic,overcomes the conservative characteristics of interval arithmetic, but contains the approximation of strong nonlinear elements such as the trigonometric function. Thereby, we proposed a novel kind of interval power flow calculation method based on mixed power flow equations. This method uses a nonlinear AC power flow equation to establish the affine formulation of the node voltage amplitude/phase angle, and then substitutes them into the linear power flow equation to form the linear optimization model about the noise elements, helping to inhibit interval extension. The simulation results of IEEE-30 nodes system with wind farms show that the interval boundaries obtained by the proposed method are closer to those obtained by the Monte Carlo method, and are narrower than the affine method, while the proposed method is more efficient than the Monte Carlo method.