Title :
Stability of flows of a dynamic flow network
Author :
Jenkins, Lawrence ; Liu, Ruey-Wen
fDate :
12/1/1976 12:00:00 AM
Abstract :
The need for a network model for the purpose of study of stability of flows is first discussed. A dynamic flow-network model is then presented. It has applications to power networks. A two-matrix transformation method is used to find a suitable Liapunov function. Stability conditions are then obtained when some constraints are imposed on the dynamic components and on the connectivity of the network. The conditions are like a circle criterion, which are on the bounds of the conductances, the memoryless components of the network.
Keywords :
Interconnected power systems; Lyapunov methods; Networks; Power flow analysis; Power system stability; Stability; Circuit stability; Equations; Flow graphs; Intelligent networks; Joining processes; Kirchhoff´s Law; Large-scale systems; Load flow;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1976.1084163