Patent ID: 11923685
Assignee: TSINGHUA UNIVERSITY
Field: Electrical machinery, apparatus, energy (Electrical engineering)
Classification: CPC H  G  Y | IPC G  H

Claim 3:
4. The method of claim 3, wherein the performing the second order cone relaxation on the non-convex constraint of the plurality of distribution network constraints to obtain the convex-relaxed reactive power-voltage control model comprises:
performing the second order cone relaxation on the second power flow constraint to obtain a relaxed second power flow constraint as follows:

PDk,ij2+QDk,ij2≤vDk,ilDk,ij,∀ij∈ILDk,∀k∈ID 

rewriting the reactive power-voltage control model based on the relaxed second power flow constraint to obtain the convex-relaxed reactive power-voltage control model as follows:, min
      
        C
        T
      
    
    ⁢
    
      
    
    ⁢
    
      
        C
        T
      
      ⁡
      
        (
        
          x
          T
        
        )
      
    
  

  
    satisfying
    ⁢
    
      :
    
  

  
    
      
        F
        T
      
      ⁡
      
        (
        
          x
          T
        
        )
      
    
    ≤
    0
  

  
    
      
        
          F
          
            D
            k
          
        
        ⁡
        
          (
          
            x
            
              D
              k
            
          
          )
        
      
      ≤
      0
    
    ,
    
      ∀
      
        k
        ∈
        ID
      
    
  

  
    
      
        x
        
          
            T
            k
          
          ,
          B
        
      
      =
      
        x
        
          
            D
            k
          
          ,
          B
        
      
    
    ,
    
      ∀
      
        k
        ∈
        ID
      
    
  

where xT represents a first column vector comprising variables Pij, Qij, Pij, Qji, PiG, QiG, Vi, and θi of the transmission network; xDk represents a second column vector comprising variables PDk,ij, QDk,ij, PDk,iG, QDk,iG, vDk,i and lDk,ij of the kth distribution network; CT (XT) represents a sum of active powers absorbed by the transmission bus on at least one common connection bus; FT(xT)≤0 represents the plurality of transmission network constraints, FDk (xDk)≤0 represents the plurality of distribution network constraints having the second power flow constraint replaced with the relaxed second power flow constraint, xTk,B represents a third column vector containing variables PT→Dk,iG, QT→Dk,iG and (VT,Dk,i)2 of boundary buses between the transmission network and the kth distribution network; xDk,B represents a fourth column vector containing variables PDk←T,iG, QDk←T,iG and vDk,T,i of boundary buses.