Most of the above mentioned research results have shown
that the FLC based on FOPID controller has a better performance
and robustness.
Establishing an accurate model is the basis of the control strategy
researches. Modeling based on the flow and torque characteristic
curves of hydraulic turbine has been widely used, which
enables the detailed simulation of water hammer and nonlinear
hydraulic characteristics. Whereas, for the existence of ‘S’ characteristic
area, the precision of interpolation calculation for PSHU
model based on the complete characteristic curves can’t be effectively
guaranteed. Yang et al. constructed complete characteristic
curved surfaces using non-uniform B-splines and proposed the
mathematical model of PSHU [26]. Lin et al. proposed a
Logarithmic-Curve-Projection (LCP) method to describe the
pump-turbine characteristics [27]. This paper puts forward a
hybrid AFFFOPID controller for PSHURS and mathematical model
of PSHU based on characteristic curves using LCP transformation.
Moreover, selecting a suitable parameters optimization method is
still an important and challenging issue. Many heuristic algorithms
such as genetic algorithm (GA), particle swarm optimization (PSO),
bacterial foraging algorithm (BFA) and GSA have been adopted to
solve it. In this paper, because of the numerous parameters of AFFFOPID
and the randomness always exists in heuristic algorithms,
the BCGSA is proposed to solve the optimized parameters selection
problem. The AFFFOPID method with BCGSA is tested during startup