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

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



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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
  • 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$
  • Table 4  

    Table 4Corresponding parameters of the transmission lines