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

Claim 2:
3. The method according to claim 1, wherein the constraint conditions further comprises constraints of power balance and branching in a fault state of the distribution network, as expressed by the following formulas (20) to (30):, k
       xy
       
        h
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      =
      0
     
     ;
    
   
   
    
     (
     20
     )
    
   
  
 

 
  
   
    
     
      
       
        k
        xy
        
         h
         ,
         NO
        
       
       +
       
        F
        i
        h
       
       -
       1
      
      ≤
      
       p
       i
       
        [
        
         xy
         ,
         h
        
        ]
       
      
     
     ,
     
      
       ∀
       i
      
      ;
     
    
   
   
    
     (
     21
     )
    
   
  
 

 
  
   
    
     
      
       
        
         
          ∑
           
         
         
          j
          ∈
          
           Ψ
           i
          
         
        
        ⁢
        
         P
         ij
         
          f
          ,
          
           [
           
            xy
            ,
            h
           
           ]
          
         
        
       
       +
       
        P
        i
        
         f
         [
         
          xy
          ,
          h
         
         ]
        
       
       +
       
        
         
          ∑
           
         
         
          g
          ≠
          f
         
        
        ⁢
        
         P
         i
         
          fg
          ,
          
           [
           
            xy
            ,
            h
           
           ]
          
         
        
       
      
      =
      0
     
     ,
     
      ∀
      
       i
       ∉
       
        Ψ
        SS
       
      
     
     ,
     
      
       ∀
       
        f
        ∈
        Ω
       
      
      ;
     
    
   
   
    
     (
     22
     )
    
   
  
 

 
  
   
    
     
      
       
        
         
          ∑
           
         
         
          j
          ∈
          
           Ψ
           i
          
         
        
        ⁢
        
         P
         ij
         
          f
          ,
          
           [
           
            xy
            ,
            h
           
           ]
          
         
        
       
       +
       
        P
        i
        
         f
         ,
         
          [
          
           xy
           ,
           h
          
          ]
         
        
       
       +
       
        
         
          ∑
           
         
         
          g
          ≠
          f
         
        
        ⁢
        
         P
         i
         
          fg
          ,
          
           [
           
            xy
            ,
            h
           
           ]
          
         
        
       
      
      =
      
       P
       
        t
        ⁢
        r
       
       
        f
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
     
     ,
     
      
       ∀
       
        i
        ∈
        
         Ψ
         
          S
          ⁢
          S
         
        
       
      
      ;
     
    
   
   
    
     (
     23
     )
    
   
  
 

 
  
   
    
     
      
       
        
         ∑
          
        
        f
       
       ⁢
       
        P
        i
        
         f
         ,
         
          [
          
           xy
           ,
           h
          
          ]
         
        
       
      
      =
      
       
        q
        i
        
         [
         
          xy
          ,
          h
         
         ]
        
       
       ⁢
       
        P
        i
       
      
     
     ,
     
      
       ∀
       
        i
        ∈
        Ψ
       
      
      ;
     
    
   
   
    
     (
     24
     )
    
   
  
 

 
  
   
    
     
      
       q
       i
       
        [
        
         xy
         ,
         h
        
        ]
       
      
      ≥
      
       1
       -
       
        p
        i
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
     
     ,
     
      ∀
      
       i
       ∈
       Ψ
      
     
    
   
   
    
     (
     25
     )
    
   
  
 

 
  
   
    
     
      
       
        -
        M
       
       ⁢
       
        F
        i
        f
       
      
      ≤
      
       P
       i
       
        f
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      ≤
      
       M
       ⁢
       
        F
        i
        f
       
      
     
     ,
     
      ∀
      
       i
       ∈
       Ψ
      
     
     ,
     
      
       ∀
       
        f
        ∈
        Ω
       
      
      ;
     
    
   
   
    
     (
     26
     )
    
   
  
 

 
  
   
    
     
      
       
        -
        M
       
       ⁢
       
        k
        i
        
         
          f
          ⁢
          g
         
         ,
         
          [
          
           xy
           ,
           h
          
          ]
         
        
       
      
      ≤
      
       P
       i
       
        
         f
         ⁢
         g
        
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      ≤
      
       M
       ⁢
       
        k
        i
        
         
          f
          ⁢
          g
         
         ,
         
          [
          
           xy
           ,
           h
          
          ]
         
        
       
      
     
     ,
     
      ∀
      
       ij
       ∈
       ϒ
      
     
     ,
     
      
       ∀
       
        f
        ∈
        Ω
       
      
      ;
     
    
   
   
    
     (
     27
     )
    
   
  
 

 
  
   
    
     
      
       -
       
        Mk
        ij
        
         f
         ,
         
          [
          
           xy
           ,
           h
          
          ]
         
        
       
      
      ≤
      
       P
       ij
       
        f
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      ≤
      
       Mk
       ij
       
        
         f
         [
         
          xy
          ,
          h
         
         ]
        
        ]
       
      
     
     ,
     
      ∀
      
       ij
       ∈
       ϒ
      
     
     ,
     
      
       ∀
       
        f
        ∈
        Ω
       
      
      ;
     
    
   
   
    
     (
     28
     )
    
   
  
 

 
  
   
    
     
      
       -
       
        S
        fd
        f
       
      
      ≤
      
       P
       ij
       
        f
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      ≤
      
       S
       fd
       f
      
     
     ,
     
      ∀
      
       ij
       ∈
       ϒ
      
     
     ,
     
      
       ∀
       
        f
        ∈
        Ω
       
      
      ;
     
    
   
   
    
     (
     29
     )
    
   
  
 

 
  
   
    
     
      
       P
       
        t
        ⁢
        r
       
       
        f
        ,
        
         [
         
          xy
          ,
          h
         
         ]
        
       
      
      ≤
      
       S
       
        t
        ⁢
        r
       
       f
      
     
     ,
     
      ∀
      
       f
       ∈
       
        Ω
        tr
       
      
     
     ,
    
   
   
    
     (
     30
     )
    
   
  
 

where ∀[xy,h] is applicable to all the formulas (20) to (30), and
where
kijf,[xy,h] 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 a case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails, with kijf,[xy,h]=1 indicating being connected and kijf,[xy,h]=0 indicating being disconnected,
pi[xy,h] is a 0-1 variable indicating an affected state of the load at the node i in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails, with pi[xy,h]=1 indicating being affected to lose power supply and pi[xy,h]=0 indicating not being affected,
Pijf,[xy,h] indicates active power flowing from the node i to the node j through the feeder line f in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails,
Pif,[xy,h] indicates active load power at the node i where the feeder line f is located in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails,
Pifg,[xy,h] indicates active power flowing from the feeder line f to the feeder line g at the node i via the interconnection switch in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails,
Ptrf,[xy,h] indicates active power outputted from the transformer tr to the feeder line f in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails,
Pif,[xy,h] indicates active power outputted from the transformer tr to the feeder line f in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xr fails,
qi[xy,h] is a 0-1 variable indicating a state of power supply at the node i in the case where the feeder segment of the feeder line h that is contained in the feeder corridor xy fails, with qi[xy,h]=1 indicating normal power supply and pi[xy,h]=0 indicating loss of power supply, and
[xy,h] indicates a scenario in which the feeder segment of the feeder line h that is contained in the feeder corridor xy fails.