| The reform of China’s power system provides a relatively open and fair environment for power generation,electricity seller and electricity user to participate in the market transactions,and effectively promotes the development of the power industry.But with the deepening of the reform,some disadvantages of the traditional operation mode of the power industry are gradually emerging,such as unclear allocation of transmission network loss,unclear division of responsibility for transmission line congestion and unclear status of composite source and flow,etc.The key to solve these problems is to evaluate accurately and fairly the real distribution of composite sources including power flow,environmental information flow,energy flow and economic flow.However,due to the limitation of nonlinear coupling between active power and reactive power,the existing circuit theory system is not enough to support the solution of such problems.Therefore,from the point of view of instantaneous value,this paper studies the analytical method of the source flow energy relationship of AC power network,and applies this method to the study of the distribution of complex source flow,such as economic flow,energy flow and so on,which generally exists in the power market environment,providing a new way to solve the above problems.Firstly,this paper analyzes the energy distribution relationship between the source flow pairs on a single electrical node and branch.Based on the proportional sharing theorem of node instantaneous current,this paper demonstrates the proportional sharing principle of node instantaneous power,and then deduces the expression of energy distribution relationship between any two sources,any two flows and any source flow pairs.Then the power allocation matrix which can reflect the energy interaction among all the sources,streams and streams on the node is constructed;For the branch model with two current components.This paper analyzes the power consumption on the impedance branch of each source-flow in the whole cycle and interactive power at the sending and receiving nodes.Furthermore,for the branch model with any number of current components,the equivalent idea is adopted to obtain the components of transmission,loss and interactive power on the branch within the whole cycle of each source-flow.and then,a complete power distribution network has been formed.The clarification of the power distribution relationship between nodes and branches provides theoretical support for the design of the analytical algorithm of the source current electrical relationship in the subsequent large-scale AC power network.For the "Π" type equivalent model of transmission line,this paper deduces the distribution relations of instantaneous current,instantaneous power and periodic power among the source-flow on the branch.Thus,the electric energy transmitted in the whole period between any source-flow and the network loss energy borne by each pair can be obtained.Secondly,an algorithm based on the reduction of the correlation matrix is designed to track the periodic electric energy of all nodes in the whole network.Finally,the distribution information of electric source-flow in the whole network is obtained.The algorithm is applied to the New England 39 node system for simulation.And the results show that the algorithm can easily and effectively analyze the energy distribution relationship between all the source pairs in the AC network,which lays a foundation for the subsequent distribution analysis of composite heterogeneous source streams.This paper also analyzes the distribution of composite heterogeneous sources including economic flow,energy flow and pollution flow.First of all,based on the share of electric energy transmitted on each transmission line,the allocation scheme of transmission cost is designed.Three allocation schemes are designed: the power generation party bears the transmission cost alone,the power user bears the transmission cost alone and the power generation party and the power user share the transmission cost together.Based on the power information of each node,the power cost of each node is calculated.Based on the information of electric source-flow in the whole cycle,the distribution of fuel flow and pollution flow is analyzed.Finally,the simulation conditions of New England 39 node system are simulated,and the results verify the effectiveness of this method. |