Patent ID: 11888419
Assignee: JIANGSU UNIVERSITY
Field: Electrical machinery, apparatus, energy (Electrical engineering)
Classification: CPC H  Y | IPC H

Claim 5:
6. The unified open-circuit fault-tolerant control method according to claim 1, wherein step 7) is implemented as follows, wherein
the phase voltages of the five-phase permanent magnet fault-tolerant motor are expressed as follows:, u
   x
  
  =
  
   
    
     R
     s
    
    ⁢
    
     i
     x
    
   
   +
   
    
     L
     s
    
    ⁢
    
     d
     
      d
      ⁢
      t
     
    
    ⁢
    
     i
     x
    
   
   +
   
    e
    x
   
  
 

wherein, x=A, B, C, D, E; Rs is a stator resistance, ix is a phase current; and ex is a back-EMF;
the expression of the phase voltages is rewritten as follows:, u
   
    x
    ⁢
    e
   
  
  =
  
   
    
     u
     x
    
    -
    
     e
     x
    
   
   =
   
    
     
      R
      s
     
     ⁢
     
      i
      x
     
    
    +
    
     
      L
      s
     
     ⁢
     
      d
      
       d
       ⁢
       t
      
     
     ⁢
     
      i
      x
     
    
   
  
 

wherein, when the five-phase fault-tolerant motor has the fault, the expression is expressed by direct-axis and quadrature-axis voltages; expression of the phase voltages under different faults is obtained; and when a winding of the phase A is faulty, the phase voltages are expressed as follows:, [
   
    
     
      
       u
       
        B
        ⁢
        e
        ⁢
        1
       
      
     
    
    
     
      
       u
       
        C
        ⁢
        e
        ⁢
        1
       
      
     
    
    
     
      
       u
       
        D
        ⁢
        e
        ⁢
        1
       
      
     
    
    
     
      
       u
       
        E
        ⁢
        e
        ⁢
        1
       
      
     
    
   
   ]
  
  =
  
   
    T
    p
   
   [
   
    
     
      
       u
       
        ed
        ⁢
        1
       
       *
      
     
    
    
     
      
       u
       
        eq
        ⁢
        1
       
       *
      
     
    
    
     
      
       u
       
        ed
        ⁢
        3
       
       *
      
     
    
    
     
      
       u
       
        eq
        ⁢
        3
       
       *
      
     
    
   
   ]
  
 

in addition, uA1=0; UAe1, UBe1, UCe1, UDe1 and UEe1 are phase voltages when the phase A is faulty, which do not consider the back-EMF; ued1*=ud1*−ed1*, ueq1*=uq1*−eq1*, ued3*=ud3*−ed3*, ueq1*=uq3*−eq3; and ed1*, eq1*, ed3* and eq3* are back-EMF-based direct-axis and quadrature-axis components of the phase voltages, which are obtained through the back-EMF by a coordinate transformation matrix of a five-phase stationary coordinate system to the two-phase rotating coordinate system;
when windings of the phases A and C are faulty, the phase voltages are expressed as follows:, {
  
   
    
     
      
       u
       
        Ae
        ⁢
        2
       
      
      =
      0
     
    
   
   
    
     
      
       u
       
        Be
        ⁢
        2
       
      
      =
      
       
        1
        .382
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        
         (
         
          θ
          -
          γ
         
         )
        
       
       +
       
        1
        .382
        
         u
         
          ed
          ⁢
          1
         
         *
        
        ⁢
          
        sin
        ⁢
          
        
         (
         
          θ
          -
          γ
         
         )
        
       
      
     
    
   
   
    
     
      
       u
       
        Ce
        ⁢
        2
       
      
      =
      0
     
    
   
   
    
     
      
       u
       
        De
        ⁢
        2
       
      
      =
      
       
        
         -
         2
        
        .236
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        θ
       
       -
       
        2
        .236
        
         u
         
          ed
          ⁢
          1
           
         
         *
        
        ⁢
          
        sin
        ⁢
          
        θ
       
      
     
    
   
   
    
     
      
       u
       
        Ee
        ⁢
        2
       
      
      =
      
       
        2
        .236
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        
         (
         
          θ
          +
          
           
            0
            .
            5
           
           ⁢
           γ
          
         
         )
        
       
       +
       
        2
        .236
        
         u
         
          ed
          ⁢
          1
         
         *
        
        ⁢
          
        sin
        ⁢
          
        
         (
         
          θ
          +
          
           
            0
            .
            5
           
           ⁢
           γ
          
         
         )
        
       
      
     
    
   
  
 

wherein, uAe2, UBe2, UCe2, UDe2 and uEe2 are phase voltages when the windings of the phases A and C are faulty, which do not consider the back-EMF;
when windings of the phases A and B are faulty, the phase voltages are expressed as follows:, {
  
   
    
     
      
       u
       
        Ae
        ⁢
        3
       
      
      =
      0
     
    
   
   
    
     
      
       u
       
        Be
        ⁢
        3
       
      
      =
      0
     
    
   
   
    
     
      
       u
       
        Ce
        ⁢
        3
       
      
      =
      
       
        2
        .236
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        
         (
         
          θ
          -
          γ
         
         )
        
       
       +
       
        2
        .236
        
         u
         
          ed
          ⁢
          1
         
         *
        
        ⁢
          
        sin
        ⁢
          
        
         (
         
          θ
          -
          γ
         
         )
        
       
      
     
    
   
   
    
     
      
       u
       
        De
        ⁢
        3
       
      
      =
      
       
        3
        .618
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        
         (
         
          θ
          +
          
           2
           ⁢
           γ
          
         
         )
        
       
       +
       
        3
        .618
        
         u
         
          ed
          ⁢
          1
         
         *
        
        ⁢
          
        sin
        ⁢
          
        
         (
         
          θ
          +
          
           2
           ⁢
           γ
          
         
         )
        
       
      
     
    
   
   
    
     
      
       u
       
        Ee
        ⁢
        3
       
      
      =
      
       
        2
        .236
        
         u
         
          eq
          ⁢
          1
         
         *
        
        ⁢
          
        cos
        ⁢
          
        θ
       
       +
       
        2
        .236
        
         u
         
          ed
          ⁢
          1
         
         *
        
        ⁢
          
        sin
        ⁢
          
        θ
       
      
     
    
   
  
 

wherein, uAe3, uBe3, UCe3, UDe3 and uEe3 are phase voltages when the windings of the phases A and B are faulty, which do not consider the back-EMF.