Patent ID: 11923680
Assignee: TSINGHUA UNIVERSITY
Field: Electrical machinery, apparatus, energy (Electrical engineering)
Classification: CPC H  G  Y | IPC G  H

Claim 2:
3. The method of claim 1, wherein the static safety-constrained model is denoted by formulas of:, P
       ij
       f
      
      =
      
       
        
         g
         ij
        
        (
        
         
          v
          i
          2
         
         -
         
          
           v
           i
          
          ⁢
          
           v
           j
          
          ⁢
          cos
          ⁢
             
          
           θ
           ij
          
         
        
        )
       
       -
       
        
         b
         ij
        
        ⁢
        
         v
         i
        
        ⁢
        
         v
         j
        
        ⁢
        sin
        ⁢
           
        
         θ
         ij
        
       
      
     
     ,
     
      i
      ∈
      L
     
     ,
     
      j
      ∈
      
       L
       i
      
     
    
   
   
    
     (
     1
     )
    
   
  
 

 
  
   
    
     
      
       Q
       ij
       f
      
      =
      
       
        -
        
         
          b
          ij
         
         (
         
          
           v
           i
           2
          
          -
          
           
            v
            i
           
           ⁢
           
            v
            j
           
           ⁢
           cos
           ⁢
              
           
            θ
            ij
           
          
         
         )
        
       
       -
       
        
         g
         ij
        
        ⁢
        
         v
         i
        
        ⁢
        
         v
         j
        
        ⁢
        sin
        ⁢
           
        
         θ
         ij
        
       
      
     
     ,
     
      i
      ∈
      L
     
     ,
     
      j
      ∈
      
       L
       i
      
     
    
   
   
    
     (
     2
     )
    
   
  
 

 
  
   
    
     
      
       
        P
        i
        g
       
       -
       
        P
        i
        d
       
      
      =
      
       
        ∑
        
         j
         ∈
         
          L
          i
         
        
       
       
        P
        ij
        f
       
      
     
     ,
     
      
       P
       0
      
      =
      
       
        ∑
        
         j
         ∈
         
          L
          0
         
        
       
       
        P
        
         j
         ⁢
         0
        
       
      
     
     ,
     
      i
      ∈
      L
     
    
   
   
    
     (
     3
     )
    
   
  
 

 
  
   
    
     
      
       
        Q
        i
        g
       
       -
       
        Q
        i
        d
       
      
      =
      
       
        ∑
        
         j
         ∈
         
          L
          i
         
        
       
       
        G
        ij
        f
       
      
     
     ,
     
      
       Q
       0
      
      =
      
       
        ∑
        
         j
         ∈
         
          L
          0
         
        
       
       
        Q
        
         j
         ⁢
         0
        
        f
       
      
     
     ,
     
      i
      ∈
      L
     
    
   
   
    
     (
     4
     )
    
   
  
 

 
  
   
    
     
      
       
        
         (
         
          P
          ij
          f
         
         )
        
        2
       
       +
       
        
         (
         
          Q
          ij
          f
         
         )
        
        2
       
      
      ≤
      
       
        (
        
         
          S
          _
         
         ij
        
        )
       
       2
      
     
     ,
     
      
       
        
         (
         
          P
          0
         
         )
        
        2
       
       +
       
        
         (
         
          Q
          0
         
         )
        
        2
       
      
      ≤
      
       
        (
        
         
          S
          _
         
         0
        
        )
       
       2
      
     
     ,
     
      i
      ∈
      L
     
     ,
     
      j
      ∈
      
       L
       i
      
     
    
   
   
    
     (
     5
     )
    
   
  
 

 
  
   
    
     
      
       
        v
        _
       
       i
      
      ≤
      
       v
       i
      
      ≤
      
       
        v
        _
       
       i
      
     
     ,
     
      i
      ∈
      L
     
    
   
   
    
     (
     6
     )
    
   
  
 

 
  
   
    
     
      
       
        P
        _
       
       i
       g
      
      ≤
      
       P
       i
       g
      
      ≤
      
       
        P
        _
       
       i
       g
      
     
     ,
     
      
       Q
       i
       g
      
      ≤
      
       Q
       i
       g
      
      ≤
      
       
        Q
        _
       
       i
       g
      
     
     ,
     
      i
      ∈
      L
     
    
   
   
    
     (
     7
     )
    
   
  
 

where,
Pijf represents an active power flow of branch ij connecting directly node i and node j;
Qijf represents a reactive power flow of branch ij;
bij represents a susceptance of branch ij;
gij represents a conductance of branch ij;
vi represents a voltage amplitude of node i;
vj represents a voltage amplitude of node j;
θij represents a difference of voltage phase angles between node i and node j;
L represents a set of nodes;
Li represents a set of nodes directly connected to node i through branches;
Pig represents an active power output of node i;
Qig represents a reactive power output of node i;
Pid represents an active power load of node i;
Qid represents a reactive power load of node i;
P0 represents an active power output of the virtual power plant;
Q0 represents a reactive power output of the virtual power plant;
Sij represents an upper transmission capacity limit of branch ij;
S0 represents an upper transmission capacity limit of a transformer;
vi represents a lower limit of the voltage amplitude of node i;
vi represents an upper limit of the voltage amplitude of node i;
Pig represents a lower limit of the active power output of node i;
Pig represents an upper limit of the active power output of node i;
Qig represents a lower limit of the reactive power output of node i; and
Qig represents an upper limit of the reactive power output of node i.