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

Claim 4:
5. The method of claim 4, wherein the solving the convex-relaxed reactive power-voltage control model to acquire control variables of the transmission network and control variables of each distribution network comprises:
rewriting the convex-relaxed reactive power-voltage control model by an augmented Lagrange method as follows:, L
    ⁡
    
      (
      
        
          x
          T
        
        ,
        
          
            {
            
              x
              
                D
                k
              
            
            }
          
          
            k
            ∈
            ID
          
        
        ,
        
          
            {
            
              y
              k
            
            }
          
          
            k
            ∈
            ID
          
        
      
      )
    
  
  =
  
    
      
        C
        T
      
      ⁡
      
        (
        
          x
          T
        
        )
      
    
    +
    
      
        ∑
        
          k
          ∈
          ID
        
      
      ⁢
      
        {
        
          
            
              y
              k
              T
            
            ⁡
            
              [
              
                
                  x
                  
                    
                      T
                      k
                    
                    ,
                    B
                  
                
                -
                
                  x
                  
                    
                      D
                      k
                    
                    ,
                    B
                  
                
              
              ]
            
          
          +
          
            
              ρ
              2
            
            ⁢
            
              
                
                
                  
                    x
                    
                      
                        T
                        k
                      
                      ,
                      B
                    
                  
                  -
                  
                    x
                    
                      
                        D
                        k
                      
                      ,
                      B
                    
                  
                
                
              
              2
              2
            
          
        
        }
      
    
  

where, {
    
      x
      
        D
        k
      
    
    }
  
  
    k
    ∈
    ID, represents a set of variables of all the plurality distribution networks, yk represents a fifth column vector comprising Lagrange multipliers of the plurality of transmission-distribution network boundary constraints corresponding to the kth distribution network, the superscript T represents a transposition of a vector, {yk}k∈ID represents a set of Lagrange multipliers of the plurality of transmission-distribution network boundary constraints corresponding respectively to the plurality of distribution networks, ρ represents a positive penalty factor, ∥·∥22 represents a square of 2-Norm of a vector; and
obtaining the control variables of the transmission network and the control variables of each distribution network by an iterative solution method based on an asynchronous distributed algorithm of alternating direction method of multipliers (ADMM).