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A model reference-based adaptive PSS4B stabilizer for the multi-machines power system


Two-inputs adaptive IEEE multi-bands power system stabilizer (PSS4B) was developed for oscillations damping control in power systems. Two supplementary loops based on model reference (MR) adaptive control were added to the typical PSS4B design. The MR has the same loops’ parameters of the typical PSS4B, and hence, avoiding a complex tuning process. The proposed PSS has a self-tuning gain reduction block to avoid any negative impact due to the high gains value during the disturbance time. The proposed PSS was applied on the four-machine benchmark power system. To evaluate the robustness of the proposed PSS, it was tested in comparison with the Delta W PSS, one-input multi-bands PSS4B (1iMB) and two-inputs multi-bands PSS4B (2iMB) stabilizers. The integration of the proposed PSS was demonstrating using different study cases. These cases consider the small-signal stability (SSS), large-signal stability (LSS) and the coordination test for the local and inter-area excited power modes. The proposed PSS demonstrated robust and superior responses in all cases.

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A: Parameters of Kundur test system

Generator parameters in p.u
X d X q X l \( X_{d}^{\prime } \) \( X_{q}^{\prime } \) \( X_{d}^{\prime \prime } \)
1.8 1.7 0.2 0.3 0.55 0.25
\( X_{q}^{\prime \prime } \) R a \( T_{do}^{\prime } \) \( T_{qo}^{\prime } \) \( T_{do}^{\prime \prime } \) \( T_{qo}^{\prime \prime } \)
0.25 0.0025 8.0 0.4 0.03 0.05
A Sat B Sat Ψ T1 H (G1 and G2) H (G3 and G4) D m
0.015 9.6 0.9 6.5 6.175 0
Parameters of the lines
R X e b C
0.0001 p.u/km 0.001 p.u/km 0.00175 p.u/km
Operating point of generating units and loads
G 1 G 1 P = 700 MW, Q = 185 MV Ar
G 2 P = 700 MW, Q = 235 MV Ar
G 3 P = 719 MW, Q = 176 MV Ar
G 4 P = 700 MW, Q = 202 MV Ar
Bus7 PL= 967 MW, QL = 100 MV Ar, Qc= 187 MV Ar
Bus9 PL= 1767 MW, QL = 100 MV Ar, Qc= 187 MV Ar

B: Parameters values of exciter related to Kundur test system

Full-order exciter
k a k e k f K r T b V r min A ex
200 1.00 0.001 1.00 0.00 0 0.0056
T a T e T f T r T c V r max B ex
0.001 0.01 0.1 20e−3 0.00 12.3 1.075
Reduced-order exciter
200.00 8.5699 0.2595 − 3.8530 1.00 643.3739 33.02

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Obaid, Z.A., Muhssin, M.T. & Cipcigan, L.M. A model reference-based adaptive PSS4B stabilizer for the multi-machines power system. Electr Eng 102, 349–358 (2020).

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  • Low-frequency oscillation
  • Adaptive PSS4B
  • Self-tuning gains
  • Model reference adaptive control
  • Multi-inputs multi-bands PSS