A Novel Reduced Model for Electrical Networks With Constant Power Loads

作者：Monshizadeh Nima^*; De Persis Claudio; van der Schaft Arjan J; Scherpen Jacquelien M A

来源：IEEE Transactions on Automatic Control, 2018, 63(5): 1288-1299.

DOI：10.1109/TAC.2017.2747763

• Kron reduction
• power networks
• laplacian matrix
• differential-algebraic model

We consider a network-preserved model of power networks with proper algebraic constraints resulting from constant power loads. Both for the linear and the nonlinear differential algebraic model of the network, we derive explicit reduced models which are fully expressed in terms of ordinary differential equations. For deriving these reduced models, we introduce the "projected incidence" matrix which yields a novel decomposition of the reduced Laplacian matrix. With the help of this new matrix, we provide a complementary approach to Kron reduction, which is able to cope with constant power loads and nonlinear power flow equations.

• 出版日期2018-5