Method of grid loss allocation using imputation components

of dissipation power based on the Shapley axiom

 

 

HAO Xiaohong1, FANG Wanzhu2

 

(1. Computer and Communication Engineering Institute, Lanzhou University of Technology,

 

Lanzhou 730050, China; 2. Electrical Engineering And Information Engineering Institute,

Lanzhou University of Technology, Lanzhou 730050, China)

 

 

Abstract: Aiming at the fair and reasonable apportionment of power loss problem to members in electricity market, the method of power loss allocation was researched. A new loss allocation method based on the theory of power flow tracing and imputation components of dissipation power was proposed, based on the Shapley axiom and Shapley value theory in game theory and the rigorous mathematical derivation. The imputation part of branch dissipation power to each current source node can be calculated by the theory of imputation components of dissipation power. And then, the loss of current source node was allocated to all members in actual power grid by using the theory of power flow tracing. Finally, the method was simulated in IEEE 4bus system. The results indicate that the proposed method is demonstrated by the circuit laws, the interactions between active and reactive powers is also considered, and all the network losses could be allocated to all consumers and generators, which make power loss allocation fair and reasonable.

 

Key words: loss allocation; Shapley axiom; imputation components of dissipation power; power flow tracing