Patent ID: 11862973
Assignee: XIANGTAN UNIVERSITY
Field: Computer technology (Electrical engineering)
Classification: CPC G  H | IPC H

Claim 5:
6. The optimization method for capacity of a heat pump and power of various sets of energy source equipment in an energy hub according to claim 5, wherein the step (3) specifically comprises that:
in the double-layer optimization, the upper layer mainly optimizes the capacity of the heat pump, and the lower layer mainly optimizes the power of various sets of equipment;
the first objective function of the lower-layer model is to minimize the total annual operation cost Cop of the energy hub system:, min
          ⁢
          
            C
            
              o
              ⁢
              p
            
          
        
        =
        
          
            C
            
              
                o
                ⁢
                p
              
              ,
              e
            
          
          +
          
            C
            
              
                o
                ⁢
                p
              
              ,
              f
            
          
        
      
    
    
      
        (
        5
        )
      
    
  
  
    
      
        
          min
          ⁢
          
            
          
          ⁢
          
            C
            
              
                o
                ⁢
                p
              
              ,
              e
            
          
        
        =
        
          {
          
            
              
                
                  
                    
                      φ
                      
                        e
                        ,
                        
                          n
                          ⁢
                          ight
                        
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          t
                          =
                          1
                        
                        N
                      
                      ⁢
                      
                        
                          
                            P
                            e
                          
                          ⁡
                          
                            (
                            t
                            )
                          
                        
                        ⁢
                        Δ
                        ⁢
                        
                          
                        
                        ⁢
                        t
                      
                    
                  
                  ⁢
                  
                    
                  
                  ,
                  
                    
                  
                  ⁢
                  
                    t
                    ∈
                    
                      [
                      
                        19
                        ,
                        24
                      
                      )
                    
                  
                
              
            
            
              
                
                  
                    
                      φ
                      
                        e
                        ,
                        day
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          t
                          =
                          1
                        
                        N
                      
                      ⁢
                      
                        
                          
                            P
                            e
                          
                          ⁡
                          
                            (
                            t
                            )
                          
                        
                        ⁢
                        
                          
                        
                        ⁢
                        Δ
                        ⁢
                        
                          
                        
                        ⁢
                        t
                      
                    
                  
                  ⁢
                  
                    
                  
                  ,
                  
                    t
                    ∈
                    
                      [
                      
                        0
                        ,
                        19
                      
                      )
                    
                  
                
              
            
          
        
      
    
    
      
        (
        6
        )
      
    
  
  
    
      
        
          C
          
            
              o
              ⁢
              p
            
            ,
            f
          
        
        =
        
          
            φ
            f
          
          ⁢
          
            
              ∑
              
                t
                =
                1
              
              N
            
            ⁢
            
              
                
                  P
                  f
                
                ⁡
                
                  (
                  t
                  )
                
              
              ⁢
              Δ
              ⁢
              
                
              
              ⁢
              t
            
          
        
      
    
    
      
        (
        7
        )
      
    
  
  
    
      
        
          P
          e
        
        =
        
          
            P
            
              e
              ,
              EH
            
          
          +
          
            P
            
              e
              ,
              
                H
                ⁢
                P
              
            
          
          +
          
            P
            
              e
              ,
              
                C
                ⁢
                H
              
            
          
          +
          
            L
            e
          
        
      
    
    
      
        (
        8
        )
      
    
  

wherein, Cop,e is the total annual operation cost of electricity, Cop,f is the total annual operation cost of natural gas, φf is the price per unit natural gas, φe,night is the price per kilowatt-hour in an off-peak period of electricity consumption [19:00 to 24:00), φe,day is the price per kilowatt-hour in a peak period of electricity consumption [00:00 to 19:00), Pf(t) is the total power of natural gas equipment at time t, Pe(t) is the total power of electrical equipment at time t, Δ t=1 is unit time, N=8760 is the total times of a year, Pe is the total electric power, Pe,EH is the power of the electric boiler, Pe,HP is the power of the heat pump, Pe,CH is the power of a refrigerator, and Le is additional electric power of a user;
the second objective function of the lower-layer model is to minimize the total annual exhaust emission CO2,tot of the energy hub system:, min
          ⁢
          
            
          
          ⁢
          
            CO
            
              2
              ,
              tot
            
          
        
        =
        
          
            CO
            
              2
              ,
              e
            
          
          +
          
            CO
            
              2
              ,
              f
            
          
        
      
    
    
      
        (
        9
        )
      
    
  
  
    
      
        
          CO
          
            2
            ,
            e
          
        
        =
        
          
            λ
            e
          
          ⁢
          
            
              ∑
              
                t
                =
                1
              
              N
            
            ⁢
            
              
                
                  P
                  e
                
                ⁡
                
                  (
                  t
                  )
                
              
              ⁢
              
                
              
              ⁢
              Δ
              ⁢
              
                
              
              ⁢
              t
            
          
        
      
    
    
      
        (
        10
        )
      
    
  
  
    
      
        
          CO
          
            2
            ,
            f
          
        
        =
        
          
            λ
            f
          
          ⁢
          
            
              ∑
              
                t
                =
                1
              
              N
            
            ⁢
            
              
                
                  P
                  f
                
                ⁡
                
                  (
                  t
                  )
                
              
              ⁢
              
                
              
              ⁢
              Δ
              ⁢
              
                
              
              ⁢
              t
            
          
        
      
    
    
      
        (
        11
        )
      
    
  

wherein, the CO2,e is the total annual exhaust emission of electricity, CO2,f is the total annual exhaust emission of natural gas, λe, is the exhaust emission per unit electric power, and λf is the exhaust emission per unit natural gas;
the load balance constraint of the lower-layer model is:, original
  ⁢
  
    
  
  ⁢
  constraint
  ⁢
  
    :
  
  ⁢
  
    
  
  ⁢
  
    st
    .
    
      
    
    ⁢
    
      {
      
        
          
            
              
                
                  L
                  h
                
                =
                
                  
                    
                      η
                      fh
                      
                        B
                        h
                      
                    
                    ⁢
                    
                      P
                      f
                    
                  
                  +
                  
                    
                      η
                      
                        e
                        ⁢
                        h
                      
                      
                        E
                        ⁢
                        H
                      
                    
                    ⁢
                    
                      P
                      
                        e
                        ,
                        
                          E
                          ⁢
                          H
                        
                      
                    
                  
                  +
                  
                    
                      η
                      
                        e
                        ⁢
                        h
                      
                      
                        H
                        ⁢
                        P
                      
                    
                    ⁢
                    
                      P
                      
                        e
                        ,
                        
                          H
                          ⁢
                          P
                        
                      
                    
                  
                
              
            
            
              
                
                  
                
                ⁢
                
                  (
                  12
                  )
                
              
            
          
          
            
              
                
                  L
                  c
                
                =
                
                  
                    
                      η
                      
                        e
                        ⁢
                        c
                      
                      
                        C
                        ⁢
                        H
                      
                    
                    ⁢
                    
                      P
                      
                        e
                        ,
                        
                          C
                          ⁢
                          H
                        
                      
                    
                  
                  +
                  
                    
                      (
                      
                        
                          η
                          
                            e
                            ⁢
                            h
                          
                          
                            H
                            ⁢
                            P
                          
                        
                        -
                        1
                      
                      )
                    
                    ⁢
                    
                      P
                      
                        e
                        ,
                        
                          H
                          ⁢
                          P
                        
                      
                    
                  
                
              
            
            
              
                
                  
                
                ⁢
                
                  (
                  13
                  )
                
              
            
          
        
        ⁢
        
          

        
        ⁢
        loose
        ⁢
        
          
        
        ⁢
        
          constraint
          :
          
            
          
          ⁢
          
            st
            .
            
              {
              
                
                  
                    
                      
                        
                          L
                          h
                        
                        ≤
                        
                          
                            
                              η
                              fh
                              
                                B
                                h
                              
                            
                            ⁢
                            
                              P
                              f
                            
                          
                          +
                          
                            
                              η
                              
                                e
                                ⁢
                                h
                              
                              
                                E
                                ⁢
                                H
                              
                            
                            ⁢
                            
                              P
                              
                                e
                                ,
                                
                                  E
                                  ⁢
                                  H
                                
                              
                            
                          
                          +
                          
                            
                              η
                              
                                e
                                ⁢
                                h
                              
                              
                                H
                                ⁢
                                P
                              
                            
                            ⁢
                            
                              P
                              
                                e
                                ,
                                
                                  H
                                  ⁢
                                  P
                                
                              
                            
                          
                        
                      
                    
                    
                      
                        
                          
                        
                        ⁢
                        
                          (
                          16
                          )
                        
                      
                    
                  
                  
                    
                      
                        
                          L
                          c
                        
                        ≤
                        
                          
                            
                              η
                              
                                e
                                ⁢
                                c
                              
                              
                                C
                                ⁢
                                H
                              
                            
                            ⁢
                            
                              P
                              
                                e
                                ,
                                
                                  C
                                  ⁢
                                  H
                                
                              
                            
                          
                          +
                          
                            
                              (
                              
                                
                                  η
                                  
                                    c
                                    ⁢
                                    h
                                  
                                  
                                    H
                                    ⁢
                                    P
                                  
                                
                                -
                                1
                              
                              )
                            
                            ⁢
                            
                              P
                              
                                e
                                ,
                                
                                  H
                                  ⁢
                                  P
                                
                              
                            
                          
                        
                      
                    
                    
                      
                        
                          
                        
                        ⁢
                        
                          (
                          17
                          )
                        
                      
                    
                  
                
                ⁢
                
                  

                
                ⁢
                
                  CV
                  .
                  
                    
                  
                  ⁢
                  
                    {
                    
                      
                        
                          
                            
                              
                                g
                                1
                              
                              =
                              
                                
                                  max
                                  ⁡
                                  
                                    (
                                    
                                      0
                                      ,
                                      
                                        1
                                        -
                                        
                                          
                                            (
                                            
                                              
                                                
                                                  η
                                                  fh
                                                  
                                                    B
                                                    h
                                                  
                                                
                                                ⁢
                                                
                                                  P
                                                  f
                                                
                                              
                                              +
                                              
                                                
                                                  η
                                                  
                                                    e
                                                    ⁢
                                                    h
                                                  
                                                  
                                                    E
                                                    ⁢
                                                    H
                                                  
                                                
                                                ⁢
                                                
                                                  P
                                                  
                                                    e
                                                    ,
                                                    
                                                      E
                                                      ⁢
                                                      H
                                                    
                                                  
                                                
                                              
                                              +
                                              
                                                
                                                  η
                                                  
                                                    e
                                                    ⁢
                                                    h
                                                  
                                                  
                                                    H
                                                    ⁢
                                                    P
                                                  
                                                
                                                ⁢
                                                
                                                  P
                                                  
                                                    e
                                                    ,
                                                    
                                                      H
                                                      ⁢
                                                      P
                                                    
                                                  
                                                
                                              
                                            
                                            )
                                          
                                          /
                                          
                                            L
                                            h
                                          
                                        
                                      
                                    
                                    )
                                  
                                
                                ⁢
                                
                                  
                                
                                ⁢
                                
                                  (
                                  18
                                  )
                                
                              
                            
                          
                        
                        
                          
                            
                              
                                g
                                2
                              
                              =
                              
                                
                                  max
                                  ⁡
                                  
                                    (
                                    
                                      0
                                      ,
                                      
                                        1
                                        -
                                        
                                          
                                            (
                                            
                                              
                                                
                                                  η
                                                  
                                                    e
                                                    ⁢
                                                    c
                                                  
                                                  
                                                    C
                                                    ⁢
                                                    H
                                                  
                                                
                                                ⁢
                                                
                                                  P
                                                  
                                                    e
                                                    ,
                                                    
                                                      C
                                                      ⁢
                                                      H
                                                    
                                                  
                                                
                                              
                                              +
                                              
                                                
                                                  (
                                                  
                                                    
                                                      η
                                                      
                                                        c
                                                        ⁢
                                                        h
                                                      
                                                      
                                                        H
                                                        ⁢
                                                        P
                                                      
                                                    
                                                    -
                                                    1
                                                  
                                                  )
                                                
                                                ⁢
                                                
                                                  P
                                                  
                                                    e
                                                    ,
                                                    
                                                      H
                                                      ⁢
                                                      P
                                                    
                                                  
                                                
                                              
                                            
                                            )
                                          
                                          /
                                          
                                            L
                                            c
                                          
                                        
                                      
                                    
                                    )
                                  
                                
                                ⁢
                                
                                  
                                
                                ⁢
                                
                                  (
                                  19
                                  )
                                
                              
                            
                          
                        
                      
                      ⁢
                      
                        
                      
                      ⁢
                      
                        {
                        
                          
                            
                              
                                
                                  L
                                  h
                                
                                =
                                
                                  
                                    A
                                    h
                                  
                                  +
                                  
                                    
                                      A
                                      h
                                    
                                    ⁢
                                    
                                      sin
                                      ⁡
                                      
                                        (
                                        
                                          
                                            2
                                            ⁢
                                            π
                                            ⁢
                                            
                                              t
                                              
                                                τ
                                                y
                                              
                                            
                                          
                                          +
                                          
                                            π
                                            2
                                          
                                        
                                        )
                                      
                                    
                                  
                                
                              
                            
                            
                              
                                
                                  
                                
                                ⁢
                                
                                  (
                                  20
                                  )
                                
                              
                            
                          
                          
                            
                              
                                
                                  L
                                  c
                                
                                =
                                
                                  
                                    A
                                    c
                                  
                                  +
                                  
                                    
                                      A
                                      c
                                    
                                    ⁢
                                    
                                      sin
                                      ⁡
                                      
                                        (
                                        
                                          
                                            2
                                            ⁢
                                            π
                                            ⁢
                                            
                                              t
                                              
                                                τ
                                                y
                                              
                                            
                                          
                                          -
                                          
                                            π
                                            2
                                          
                                        
                                        )
                                      
                                    
                                  
                                
                              
                            
                            
                              
                                
                                  
                                
                                ⁢
                                
                                  (
                                  21
                                  )
                                
                                ⁢
                                
                                  
                                
                              
                            
                          
                        
                      
                    
                  
                
              
            
          
        
      
    
  

wherein, Ah is the amplitude of a heating load function, and Ac is the amplitude of a cooling load function;
wherein, Lh is total heating load, Lc is total cooling load, ηfhB is a heating coefficient of the natural gas boiler, which represents the heating capacity per unit natural gas in the natural gas boiler, ηehEH is a heating coefficient of the electric boiler, which represents the heating capacity per kilowatt-hour electricity in the electric boiler, ηehHP is a heating coefficient of the heat pump, which represents the heating capacity per kilowatt-hour electricity in the heat pump, and ηecCH is a refrigerating coefficient of the refrigerator, which represents the refrigerating capacity per kilowatt-hour electricity in the refrigerator;
the energy source equipment operation constraint of the lower-layer model is:, st
  .
  
    
  
  ⁢
  
    {
    
      
        
          
            
              
                P
                
                  e
                  ,
                  
                    C
                    ⁢
                    H
                  
                
              
              ≥
              0
            
          
          
            
              
                
              
              ⁢
              
                (
                22
                )
              
            
          
        
        
          
            
              
                P
                
                  e
                  ,
                  
                    H
                    ⁢
                    P
                  
                
              
              ≥
              0
            
          
          
            
              
                
              
              ⁢
              
                (
                23
                )
              
            
          
        
        
          
            
              
                P
                
                  e
                  ,
                  
                    E
                    ⁢
                    H
                  
                
              
              ≥
              0
            
          
          
            
              
                
              
              ⁢
              
                (
                24
                )
              
            
          
        
        
          
            
              
                P
                f
              
              ≥
              0
            
          
          
            
              
                
              
              ⁢
              
                (
                25
                )
              
            
          
        
      
      ⁢
      
        

      
      ⁢
      
        st
        .
        
          
        
        ⁢
        
          {
          
            
              
                
                  
                    
                      
                        
                          η
                          
                            e
                            ⁢
                            c
                          
                          
                            C
                            ⁢
                            H
                          
                        
                        ⁢
                        
                          P
                          
                            e
                            ,
                            
                              C
                              ⁢
                              H
                            
                          
                        
                      
                      ≤
                      
                        Q
                        
                          CH
                          ,
                          max
                        
                      
                    
                  
                  
                    
                      
                        
                      
                      ⁢
                      
                        (
                        26
                        )
                      
                    
                  
                
                
                  
                    
                      
                        
                          (
                          
                            
                              η
                              
                                e
                                ⁢
                                h
                              
                              
                                H
                                ⁢
                                P
                              
                            
                            -
                            1
                          
                          )
                        
                        ⁢
                        
                          P
                          
                            e
                            ,
                            
                              H
                              ⁢
                              P
                            
                          
                        
                      
                      ≤
                      
                        Q
                        
                          HP
                          ,
                          max
                        
                      
                    
                  
                  
                    
                      
                        
                      
                      ⁢
                      
                        (
                        27
                        )
                      
                    
                  
                
                
                  
                    
                      
                        
                          η
                          
                            e
                            ⁢
                            h
                          
                          
                            E
                            ⁢
                            H
                          
                        
                        ⁢
                        
                          P
                          
                            e
                            ,
                            
                              E
                              ⁢
                              H
                            
                          
                        
                      
                      ≤
                      
                        Q
                        
                          EH
                          ,
                          max
                        
                      
                    
                  
                  
                    
                      
                        
                      
                      ⁢
                      
                        (
                        28
                        )
                      
                    
                  
                
                
                  
                    
                      
                        
                          η
                          fh
                          B
                        
                        ⁢
                        
                          P
                          f
                        
                      
                      ≤
                      
                        Q
                        
                          B
                          ,
                          max
                        
                      
                    
                  
                  
                    
                      
                        
                      
                      ⁢
                      
                        (
                        29
                        )
                      
                    
                  
                
              
              ⁢
              
                

              
              ⁢
              loss
              ⁢
              
                
              
              ⁢
              function
              ⁢
              
                :
              
              ⁢
              
                
              
              ⁢
              
                g
                3
              
            
            =
            
              
                
                  max
                  ⁡
                  
                    (
                    
                      0
                      ,
                      
                        1
                        -
                        
                          
                            
                              Q
                              
                                HP
                                ,
                                max
                              
                            
                            /
                            
                              (
                              
                                
                                  η
                                  
                                    e
                                    ⁢
                                    h
                                  
                                  
                                    H
                                    ⁢
                                    P
                                  
                                
                                -
                                1
                              
                              )
                            
                          
                          ⁢
                          
                            P
                            
                              e
                              ,
                              
                                H
                                ⁢
                                P
                              
                            
                          
                        
                      
                    
                    )
                  
                
                ⁢
                
                  
                
                ⁢
                
                  (
                  30
                  )
                
                ⁢
                
                  

                
                ⁢
                
                  
                    P
                    
                      e
                      ,
                      
                        H
                        ⁢
                        P
                      
                    
                  
                  ⁡
                  
                    (
                    t
                    )
                  
                
              
              ≤
              
                min
                ⁢
                
                  {
                  
                    
                      
                        
                          L
                          c
                        
                        ⁡
                        
                          (
                          t
                          )
                        
                      
                      
                        
                          η
                          
                            e
                            ⁢
                            h
                          
                          
                            H
                            ⁢
                            P
                          
                        
                        -
                        1
                      
                    
                    ,
                    
                      
                        
                          L
                          h
                        
                        ⁡
                        
                          (
                          t
                          )
                        
                      
                      
                        η
                        
                          e
                          ⁢
                          h
                        
                        
                          H
                          ⁢
                          P
                        
                      
                    
                  
                  }
                
                ⁢
                
                  
                
                ⁢
                
                  (
                  31
                  )
                
              
            
          
        
      
    
  

wherein, Pf is the total power of natural gas equipment QCH,max→∞ is the maximum capacity of the refrigerator, QEH,max=2000 is the maximum capacity of the electric boiler, and QB,max→∞ is the maximum capacity of the natural gas boiler; based on the working principle of the heat pump, the heat pump can heat and refrigerate simultaneously, and the heating capacity is equal to the refrigerating capacity, so in order not to waste energy, the maximum power of the heat pump does not, exceed
  ⁢
  
    
  
  ⁢
  min
  ⁢
  
    
      {
      
        
          
            
              L
              c
            
            ⁡
            
              (
              t
              )
            
          
          
            
              η
              
                e
                ⁢
                h
              
              
                H
                ⁢
                P
              
            
            -
            1
          
        
        ,
        
          
            
              L
              h
            
            ⁡
            
              (
              t
              )
            
          
          
            η
            
              e
              ⁢
              h
            
            
              H
              ⁢
              P
            
          
        
      
      }
    
    .