Robust adaptive control of surge instability in constant speed centrifugal compressors using tube-MPC

Figures & data

Figure 1. The compressor system with CCV.

Source: Sheng et al. (2014b).

Figure 2. Control system block diagram.

Table 1. Description of symbols and parameters

Symbols	Parameters
$\mathit{\varphi }$	Mass flow coefficient
$\mathit{\psi }$	Pressure rise coefficient
$l_{\text{I}}$	Inlet duct length
$l_{\text{c}}$	Dimensionless compressor length
B	Greitzer’s parameter
as	Speed of sound
lE	Exit duct length
Ac	Compressor duct area
U	Mean rotor speed
R	Rotor mean radius
VP	Plenum volume
ξ	Dimensionless time
t	Time
u	Valve opening
$L_{\text{c}}$	Compressor and ducts length
a	Reciprocal time lag of compressor passage
${\mathit{\psi }}_{\text{C0}}$	Compressor characteristic shut-off value
W	Compressor characteristic semi width
H	Compressor characteristic semi height
${\mathit{\varphi }}_{\text{T}}$	Throttle valve
${\mathit{\psi }}_{\text{V}}$	Close-couple valve
$d_{\mathit{\varphi }}$	Disturbance
$d_{\mathit{\psi }}$	Disturbance

Source: Shehata et al. (2009).

Figure 3. Compressor pressure.

Figure 4. Compressor flow.

Figure 5. Control signal.

Figure 6. Compression of the system trajectories.

Figure 7. Compressor pressure.

Figure 8. Compressor flow.

Figure 9. Control signal.

Figure 10. Compression of the system trajectories.

Figure 11. Compressor pressure.

Figure 12. Compressor flow.

Figure 13. Control signal.

Figure 14. Compression of the system trajectories.

Sheng, H., Huang, W., Zhang, T., & Huang, X. (2014b). Robust adaptive fuzzy control of compressor surge using backstepping. Arabian Journal for Science and Engineering, 39, 9301–9308.10.1007/s13369-014-1448-1

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Shehata, R. S., Abdullah, H. A., & Areed, F. F. (2009). Variable structure surge control for constant speed centrifugal compressors. Control Engineering Practice, 17, 815–833.10.1016/j.conengprac.2009.02.002

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