Patent ID: 11954409
Assignee: TSINGHUA UNIVERSITY
Field: Computer technology (Electrical engineering)
Classification: CPC G  H  Y | IPC G  H

Claim 1:
2. The method according to claim 1, wherein the constraint conditions further comprises constraints of power balance and branching in a normal operation state of the distribution network, as expressed by the following formulas (12) to (19):, ∑
                
                  j
                  ∈
                  
                    Ψ
                    i
                  
                
              
              ⁢
              
                P
                ij
                
                  f
                  ,
                  NO
                
              
            
            +
            
              P
              i
              
                f
                ,
                NO
              
            
          
          =
          0
        
        ,
        
          

        
        ⁢
        
          
            
              ∀
            
            ⁢
            i
          
          ∉
          
            Ψ
            SS
          
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              f
            
            ∈
            Ω
          
          ;
        
      
    
    
      
        (
        12
        )
      
    
  
  
    
      
        
          
            
              
                ∑
                
                  j
                  ∈
                  
                    Ψ
                    i
                  
                
              
              ⁢
              
                P
                ij
                
                  f
                  ,
                  NO
                
              
            
            +
            
              P
              i
              
                f
                ,
                NO
              
            
          
          =
          
            P
            tr
            
              f
              ,
              NO
            
          
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              i
            
            ∈
            
              Ψ
              SS
            
          
          ;
        
      
    
    
      
        (
        13
        )
      
    
  
  
    
      
        
          
            
              ∑
              f
            
            ⁢
            
              P
              i
              
                f
                ,
                NO
              
            
          
          =
          
            P
            i
          
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              i
            
            ∈
            Ψ
          
          ;
        
      
    
    
      
        (
        14
        )
      
    
  
  
    
      
        
          
            -
            
              MF
              i
              f
            
          
          ≤
          
            P
            i
            
              f
              ,
              NO
            
          
          ≤
          
            MF
            i
            f
          
        
        ,
        
          

        
        ⁢
        
          
            
              ∀
            
            ⁢
            i
          
          ∈
          Ψ
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              f
            
            ∈
            Ω
          
          ;
        
      
    
    
      
        (
        15
        )
      
    
  
  
    
      
        
          
            
              ∑
              f
            
            ⁢
            
              F
              i
              f
            
          
          ≤
          1
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              i
            
            ∈
            Ψ
          
          ;
        
      
    
    
      
        (
        16
        )
      
    
  
  
    
      
        
          
            -
            
              Mk
              ij
              
                f
                ,
                NO
              
            
          
          ≤
          
            P
            ij
            
              f
              ,
              NO
            
          
          ≤
          
            Mk
            ij
            
              f
              ,
              NO
            
          
        
        ,
        
          

        
        ⁢
        
          
            
              ∀
            
            ⁢
            ij
          
          ∈
          γ
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              f
            
            ∈
            Ω
          
          ;
        
      
    
    
      
        (
        17
        )
      
    
  
  
    
      
        
          
            -
            
              S
              fd
              f
            
          
          ≤
          
            P
            ij
            
              f
              ,
              NO
            
          
          ≤
          
            S
            fd
            f
          
        
        ,
        
          

        
        ⁢
        
          
            
              ∀
            
            ⁢
            ij
          
          ∈
          γ
        
        ,
        
          

        
        ⁢
        
          
            
              
                ∀
              
              ⁢
              f
            
            ∈
            Ω
          
          ;
        
      
    
    
      
        (
        18
        )
      
    
  
  
    
      
        
          
            
              ∑
              
                f
                ∈
                
                  Ω
                  tr
                
              
            
            ⁢
            
              P
              tr
              
                f
                ,
                NO
              
            
          
          ≤
          
            S
            tr
          
        
        ,
        
          

        
        ⁢
        
          
            ∀
          
          ⁢
          tr
        
      
    
    
      
        (
        19
        )
      
    
  

where
Pijf,NO indicates active power flowing from the node i to a node j through the feeder line f in the normal operation state,
Ψi indicates a set of nodes connected to the node i directly,
Pif,NO indicates active load power at the node i where the feeder line f is located in the normal operation state,
ΨSS indicates a set of nodes where the substations are located,
Ω indicates a set of all the feeder lines,
Ptrf,NO indicates active power outputted from the transformer tr to the feeder line f in the normal operation state,
Pi indicates active load power at the node i,
Ψ indicates a set of all the nodes,
M represents a large positive number ranging from 10,000 to 10,000,000, and is 1,000,000 in this embodiment,
Fif is a 0-1 variable indicating whether to supply power to the node i through the feeder line f in the normal operation state, with Fif=1 indicating to supply and Fif=0 indicating not to supply,
kijf,NO is a 0-1 variable indicating a connection state of the feeder segment of the feeder line f that is contained in the feeder corridor ij in the normal operation state, with kijf,NO=1 indicating being connected and kijf,NO=0 indicating being disconnected,
Υ indicates a set of all the feeder corridors,
Sfdf indicates a capacity of the feeder line f,
Str indicates a capacity of the transformer tr, and
Ωtr indicates a set of the feeder lines belong to the transformer tr.