Fractional order PID control of steam generator water level for nuclear steam supply systems

Salehi, Ahmad; Safarzadeh, O.; Kazemi, Mohammad Hosein

doi:10.1016/j.nucengdes.2018.11.040

Cited by 36 publications

(11 citation statements)

References 26 publications

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“…Suthar and Gadit (2019) used a 2 degree-of-freedom (DOF) PID controller for stabilization and control of a magnetic levitation system. Salehi et al (2019) studied the control of a steam generator water level for nuclear steam supply systems using fractional-order PID. Fiengo et al (2019) used a distributed robust PID control for leader tracking in uncertain connected ground vehicles with communication delay.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy adaptive robust proportional–integral–derivative control optimized by the multi-objective grasshopper optimization algorithm for a nonlinear quadrotor

Mahmoodabadi

Babak

2020

Journal of Vibration and Control

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Proportional–integral–derivative is one of the most applicable control methods in industry. Although it is simple and effective in most cases, it does not provide robustness against disturbances and may not perform well in cases with uncertainties and nonlinearities. In this study, a fuzzy adaptive robust proportional–integral–derivative controller is used to control a nonlinear 4 degree-of-freedom quadrotor. An adaptation mechanism is submitted to the proportional–integral–derivative controller for updating the proportional, derivative, and integral gains of proportional–integral–derivative control. Furthermore, a sliding surface is generated and submitted to the adaptation mechanism for better regulation of proportional–integral–derivative gains. Afterward, a fuzzy engine is applied to regulate the sliding surface for better performance of the adaptive proportional–integral–derivative when there are disturbance and uncertainties. The multi-objective grasshopper optimization algorithm is implemented on the control system for the regulation of the control system parameters to minimize the error and control effort of the proposed hybrid control system. Finally, the obtained results are presented for a nonlinear 4 degree-of-freedom multi-purpose (for marine, ground, and aerial maneuvers) quadrotor system designed and built in Sirjan University of Technology, Sirjan, Iran, to assure the effectiveness of this technique.

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Section: Introductionmentioning

confidence: 99%

Fuzzy adaptive robust proportional–integral–derivative control optimized by the multi-objective grasshopper optimization algorithm for a nonlinear quadrotor

Mahmoodabadi

Babak

2020

Journal of Vibration and Control

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“…Oustaloup et al (2000) proposed an algorithm to make the noninteger order operators in frequency domain be approximately represented by higher order integer order operators. Based on Oustaloup algorithm, researchers have tried many methods in frequency domain to realize fractional control and many achievements have been obtained (Barbosa et al, 2010; Babu and Chiranjeevi, 2016; Merrikh-Bayat, 2012; Salehi et al, 2019; Urooj and Singh, 2019; Zou et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

The optimal displacement control for fractional incommensurate mass-spring oscillators by Shifted Legendre polynomials

Jin

Zhou

Shi

et al. 2020

Transactions of the Institute of Measurement and Control

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Based on the Riemann–Liouville fractional derivative, an optimal displacement control strategy for fractional incommensurate mass-spring oscillators has been presented. According to the calculus of variations and the Lagrange multiplier technique, the optimality conditions for the given problem are obtained. Using Shifted Legendre polynomials, the problem of solving differential equations is transformed into the problem of solving a set of algebraic equations. The validity, high efficiency and applicability of the proposed method are demonstrated through the simulation results.

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“…Water pump control, which is widely used in various chemical industries [1][2][3], such as in regenerative heaters [4] and drum boilers [5], petrochemical processes [6], open channels [7], surge tanks of hydropower stations [8], and steam generators [9][10][11][12], plays a significant role in maintaining economic efficiency and stable plant operation. For instance, in thermal power plants, the drum boiler water level is a key parameter in monitoring boiler operational conditions, which indirectly reflects the balance between the steam load and water supply.…”

Section: Introductionmentioning

confidence: 99%

“…An appropriate pump control design is able to maintain the water level and thus guarantee the safe operation of the boiler [13]. Furthermore, for nuclear steam supply systems, one of the most important control strategies of such a system is steam generator water level regulation to preserve the level around programmed setpoint, because the reduction of the water level jeopardizes the heat removal from the reactor, and increasing the level will cause the humidity of the generated steam to rise, causing severe erosion of the turbine blades [11].…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, a new global water level control of horizontal steam generator was designed using the quantitative feedback theory [9]. A gain scheduled fractional-order proportional-integral-derivative (PID) control system has also been used to control steam generator levels over an entire operating range [11]. Moreover, an adaptive estimator-based dynamic sliding mode control method was developed to address the level control problem [10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Water Pump Control: A Hybrid Data-Driven and Model-Assisted Active Disturbance Rejection Approach

Pan

Hua

et al. 2019

Water

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Water pump control, prevalent in various industrial plants, such as wastewater treatment and steam generator facilities, plays a significant role in maintaining economic efficiency and stable plant operation. Due to its slow dynamics, strong nonlinearity, and various disturbances, it is also widely studied as a typical benchmark problem in process control. The current control strategies can be categorized into two aspects: one branch resorts to model-based design and the other to data-driven design. To merge the merits and overcome the deficiencies of each paradigm, this paper proposes a hybrid data-driven and model-assisted control strategy, namely modified active disturbance rejection control (MADRC). The model information regarding water dynamics is incorporated into an extended state observer (ESO), which is used to estimate and mitigate the limitations of slow dynamics, strong nonlinearity, and various disturbances by analyzing the real-time data. The tuning formula is given in terms of the desired closed-loop performance. It is shown that MADRC is able to produce a satisfactory control performance while maintaining a low sensitivity to the measurement noise under general parametric setting conditions. The simulation results verify the clear superiority of MADRC over the proportional-integral (PI) controller and the conventional ADRC, and the results also evidence its noise reduction effects. The experimental results agree well with the simulation results based on a water tank setup. The proposed MADRC approach is able to improve the control performance while reducing the actuator fluctuation. The results presented in this paper offer a promising methodology for the water control loops widely used in the water industry.

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Fractional order PID control of steam generator water level for nuclear steam supply systems

Cited by 36 publications

References 26 publications

Fuzzy adaptive robust proportional–integral–derivative control optimized by the multi-objective grasshopper optimization algorithm for a nonlinear quadrotor

Fuzzy adaptive robust proportional–integral–derivative control optimized by the multi-objective grasshopper optimization algorithm for a nonlinear quadrotor

The optimal displacement control for fractional incommensurate mass-spring oscillators by Shifted Legendre polynomials

Water Pump Control: A Hybrid Data-Driven and Model-Assisted Active Disturbance Rejection Approach

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