Abstract
This chapter presents a comparison of the performance of integral (I) and proportional-integral-derivative (PID) controllers in frequency stabilization or load frequency control (LFC) of two-area interconnected power system considering generation rate constraints (GRCs) with Doubly fed induction generator (DFIG)-based wind energy. Two mathematically models are identified for investigations. Power system model 1 is two-area interconnected power system which contains two identical non-reheat thermal plants without DFIG participation. Whereas, power system model 2 contains two identical non-reheat thermal plants with dynamic participation of DFIG at both areas. Moreover, Harris Hawks Optimizer (HHO), Salp Swarm Algorithm (SSA), and Sine Cosine Algorithm (SCA) are applied to find the optimal values of the controller settings mentioned above. The effectiveness of the proposed controllers, which are optimally designed by several optimization techniques (i.e., HHO, SSA, and SCA) is tested and verified through an interconnected power system comprises two identical non-reheat thermal power plants with/without DFIG participation. Time-domain simulation results of the studied power system with all mentioned optimization techniques are carried out using Matlab/Simulink® software to validate the robustness of the proposed controllers.
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Appendix
Appendix
Parameter (Notation) | Value (Unit) |
---|---|
DFIG inertia constant at first area (\( {\text{H}}_{{{\text{e}}1 }} \)) | 3.5 (p.u.M.W) |
DFIG inertia constant at second area (\( {\text{H}}_{{{\text{e}}2 }} \)) | 3.5 (p.u.M.W) |
Power system gain at first area (Kp1) | 62 Hz/(p.u.MW) |
Power system gain at second area (Kp2) | 62 Hz/(p.u.MW) |
Power system time constant at first area (Tp1) | 10 s |
Power system time constant at second area (Tp2) | 15 s |
Rated power at the first area (\( pr1 \)) | 1000 MW |
Rated power at the second area (\( pr2 \)) | 1000 MW |
Generation rate constraint (GRC) at non-reheat thermal unit 1 | 15% (p.u.MW)/min |
Generation rate constraint (GRC) at non-reheat thermal unit 2 | 15% (p.u.MW)/min |
Coefficient of synchronizing (T12) | 0.07p.u.MW/HZ |
Constant of speed regulation at first area (R1) | 3 Hz/(p.u.MW) |
Constant of speed regulation at second area (R2) | 3 Hz/(p.u.MW) |
Wind turbine time constant at first area (Ta1) | 0.2 s |
Wind turbine time constant at second area (Ta2) | 0.2 s |
Speed governor time constant at first area (Tg1) | 0.1 s |
Speed governor time constant at second area (Tg2) | 0.1 s |
Steam turbine time constant at first area (Tt1) | 1 s |
Steam turbine time constant at second area (Tt2) | 1 s |
Frequency measurement starting time at first area (Tr1) | 0.1 s |
Frequency measurement starting time at second area (Tr2) | 0.1 s |
Washout filter starting time at first area (Tw1) | 6 s |
Washout filter starting time at second area (Tw2) | 6 s |
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Hamdy, A., Kamel, S., Nasrat, L., Jurado, F. (2021). Frequency Stability of Two-Area Interconnected Power System with Doubly Fed Induction Generator Based Wind Turbine. In: Haes Alhelou, H., Abdelaziz, A.Y., Siano, P. (eds) Wide Area Power Systems Stability, Protection, and Security. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-54275-7_11
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