电力系统潮流二次齐次方程中Ji矩阵的特征性质

推导了电力系统潮流二次齐次方程表达式中Ｊｉ矩阵的特征值和特征向量。发现特征值和特征向量可以不受网络规模的限制，能用一具有固定结构的公式和向量表示，并能用特征值表示节点有功、无功注入的范围；节点注入功率的线性组合仍然是一个实系数的二次齐次方程。获得了基于Ｊｉ矩阵特征值和特征向量的计算节点有功、无功注入的新的表示方式和新的计算途径，完善了潮流方程理论。

Eigenproperties of the J i Matrices in Quad ratic Formulation of the Load Flow Equations in Electric Power Systems

The eigenvalues and eigenvectors of the J i matrices in quadratic formulation of the load flow equations are derived in detail in this paper.It is noticed that an explicit expression of the eigenvalues and eigenvectors can be expressed via an expression and vector irrespective of the numbers of bus and branches of the network.Limitations on the real and reactive power injections can be obtained directly from the eigenvalues of J i matrices derived.The linear combination of bus injections has also a quadratic form.Based on the above eigenvalues and eigenvectors,a novel expression and a new route for computing the bus real and reactive power injections are obtained.