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SCIENCE CHINA Information Sciences, Volume 64 , Issue 1 : 112202(2021) https://doi.org/10.1007/s11432-019-2638-2

Distributed fixed step-size algorithm for dynamic economic dispatch with power flow limits

More info
  • ReceivedMar 27, 2019
  • AcceptedAug 5, 2019
  • PublishedOct 28, 2020

Abstract


References

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  • Figure 1

    (Color online) Optimal dispatch of each generator.

  • Figure 2

    (Color online) (a) Structure chart of IEEE 14-bus; (b) topology of IEEE 14-bus.

  • Figure 3

    (Color online) (a) Power output of the distributed generators; (b) load demand of the users.

  • Figure 4

    (Color online) (a) Mismatch of entire grid and (b) the incremental cost of each generation in five time slots.

  • Figure 5

    (Color online) Values of (a) $\mu_{i,h}$ and (b) $\nu_{i,h}$ in five time slots.

  • Figure 6

    (Color online) Consensus values of the Lagrangian multipliers $\theta_i$ (a) and $\gamma_i$ (b) of the power flow constraints.

  • Figure 7

    (Color online) Active power flow of the transmission lines.

  • Table 1  

    Table 1Parameters of the distributed generators

    ParameterGenerator number
    1341314
    $a_i$0.080.0620.0750.0720.066
    $b_i$2.254.23.256.253.2
    $c_i$2312231419
    $P_i^m$20102095
    $P_i^M$8080957080
    $P_i^R$10101087
    $\beta_i$0.0010.0010.0010.0010.001
  • Table 2  

    Table 2Output of each renewable generator

    User numberTime 1 Time 2Time 3Time 4 Time 5
    7 10 15 6 136
    8 5 12 5 1510
    104 17 3 1218
    1115 32 102013
  • Table 3  

    Table 3Parameters of the users' load demand

    User number$\omega_i$$\upsilon_i$$d_i^m$$d_i^M$
    20.0615.123060
    50.08211.9841539
    60.06512.9921535
    70.06213.2161537
    80.06612.041535
    90.07115.9042058
    100.06212.5441025
    110.07513.31530
    120.07612.5721832
  • Table 4  

    Table 4Corresponding parameters of the transmission lines

    1234567891011121314151617181920
    From11222344456667799101213
    To2534545796111213891014111314
    $T_l$5466364269962848363646.836363654425425.246.872