基于补偿算法改进的隐式Zbus高斯潮流计算方法

隐式Zbus高斯法由于其高效、可靠的特点广泛应用于放射状和弱环状的配电网潮流计算。该方法适合处理PQ节点和P-Q(V)节点,但是当系统中并入PV节点类型的分布式电源时,它存在潮流发散的问题。为了解决这类问题,提出一种基于补偿法改进的隐式Zbus高斯法。其核心思路是在每一次迭代后,通过节点阻抗矩阵和电压不匹配量对PV节点的无功功率进行修正,从而使PV节点的注入无功功率达到真实值,进而求得潮流收敛的解。该方法被应用到IEEE 33节点配电系统中,通过与基于同伦算法改进的隐式Zbus高斯潮流计算方法进行比较,表明提出的方法收敛性更好,收敛速度更快。此外,PV节点的数量对该方法的收敛性和收敛速度影响不大,表明该方法更适合于含PV节点类型配电网潮流计算。

An enhanced implicit Zbus Gauss method based on compensation method for power flow calculation

The implicit Zbus Gauss method is widely used in distribution network power flow calculation for radial and weakly meshed networks because of its efficiency and reliability. This method is appropriate for handling PQ or PQ(V) nodes in power flow calculation but it encounters divergence problems when distributed generations (DGs) modeled as PV nodes are incorporated in the system. In order to solve the problem, this paper proposes an enhanced implicit Zbus Gauss method on the basis of compensation method. The main idea of which is the reactive power of PV nodes is revised through node-impedance-matrix and deviation of voltage amplitude after each iteration, so that the real value of reactive power of PV nodes can be obtained and the convergent ones of power flow solutions can further be achieved. This method is applied to IEEE-33 bus distribution system. Compared with the homotopy-enhanced implicit Zbus Gauss method, it demonstrates that the proposed method has better convergence and faster convergent speed. In addition, the number of PV nodes exert little influence on convergence and convergent speed of this method, which manifests the proposed method is more suitable for power flow calculation with DG modeled as PV nodes.