A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors
This paper proposes a generalized predictive control (GPC) with constraints and orthonormal Laguerre functions using the simplified model of the primary system (reactor core and intermediate heat exchanger (IHX)) of a prototypical sodium fast reactor (SFR). This paper develops a multiple-input multi...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10078237/ |
| _version_ | 1797855328488914944 |
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| author | Luis Felipe Da Silva Carlos Pereira Edson Antonio Batista Joao Onofre Pereira Pinto Belle R. Upadhyaya J. Wesley Hines |
| author_facet | Luis Felipe Da Silva Carlos Pereira Edson Antonio Batista Joao Onofre Pereira Pinto Belle R. Upadhyaya J. Wesley Hines |
| author_sort | Luis Felipe Da Silva Carlos Pereira |
| collection | DOAJ |
| description | This paper proposes a generalized predictive control (GPC) with constraints and orthonormal Laguerre functions using the simplified model of the primary system (reactor core and intermediate heat exchanger (IHX)) of a prototypical sodium fast reactor (SFR). This paper develops a multiple-input multiple-output (MIMO) GPC with input constraints able to track polynomial references of any degree applied in coolant temperature difference across the core and fractional power. The manipulated variables of the GPC-SFR are the reactivity and the sodium flow rate of the primary and secondary pipes. Moreover, orthonormal Laguerre functions and step down condition number techniques were also applied to avoid the numerical ill-conditioning issue in quadratic programming of large systems. Thus, a GPC type-2 was designed to control fractional power, coolant temperature difference across the core and sodium tank temperature of the SFR primary system when temperature references change according to a linear ramp after reaching their steady-state operation, sustaining 100% power operation on the reactor. In order to analyze the load tracking capability of the GPC-SFR type-2, the load following from 100% fractional power (FP) to 60% FP at 0.8% FP/min rate is simulated. Constraints on the rate of coolant temperature difference across the core and reactivity were applied for the design safety. For comparison criteria, this paper compares the GPC-SFR type-2 with the GPC-SFR type-1, i.e, standard model predictive control (MPC), to verify the viability and superior performance of the proposal regarding: (a) ramp-tracking capability of temperature and load; (b) the rejections of a reactivity disturbance of -1 cent and a secondary sodium inlet temperature disturbance of <inline-formula> <tex-math notation="LaTeX">$+10 ^{o}F$ </tex-math></inline-formula>; and (c) a simulation with uncertainty in reactor design. The simulations show that the GPC-SFR type-2 overcome the GPC-SFR type-1 robustness and performance. |
| first_indexed | 2024-04-09T20:22:00Z |
| format | Article |
| id | doaj.art-59844c13b8a44ba585a1f7735b888e4e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T20:22:00Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-59844c13b8a44ba585a1f7735b888e4e2023-03-30T23:01:18ZengIEEEIEEE Access2169-35362023-01-0111300773009310.1109/ACCESS.2023.326064510078237A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast ReactorsLuis Felipe Da Silva Carlos Pereira0https://orcid.org/0000-0002-2559-6555Edson Antonio Batista1https://orcid.org/0000-0002-4443-9491Joao Onofre Pereira Pinto2Belle R. Upadhyaya3J. Wesley Hines4Faculty of Engineering, Architecture and Urban Planning and Geography, Federal University of Mato Grosso do Sul, Campo Grande, BrazilFaculty of Engineering, Architecture and Urban Planning and Geography, Federal University of Mato Grosso do Sul, Campo Grande, BrazilOak Ridge National Laboratory, Oak Ridge, TN, USAUniversity of Tennessee, Knoxville, TN, USAUniversity of Tennessee, Knoxville, TN, USAThis paper proposes a generalized predictive control (GPC) with constraints and orthonormal Laguerre functions using the simplified model of the primary system (reactor core and intermediate heat exchanger (IHX)) of a prototypical sodium fast reactor (SFR). This paper develops a multiple-input multiple-output (MIMO) GPC with input constraints able to track polynomial references of any degree applied in coolant temperature difference across the core and fractional power. The manipulated variables of the GPC-SFR are the reactivity and the sodium flow rate of the primary and secondary pipes. Moreover, orthonormal Laguerre functions and step down condition number techniques were also applied to avoid the numerical ill-conditioning issue in quadratic programming of large systems. Thus, a GPC type-2 was designed to control fractional power, coolant temperature difference across the core and sodium tank temperature of the SFR primary system when temperature references change according to a linear ramp after reaching their steady-state operation, sustaining 100% power operation on the reactor. In order to analyze the load tracking capability of the GPC-SFR type-2, the load following from 100% fractional power (FP) to 60% FP at 0.8% FP/min rate is simulated. Constraints on the rate of coolant temperature difference across the core and reactivity were applied for the design safety. For comparison criteria, this paper compares the GPC-SFR type-2 with the GPC-SFR type-1, i.e, standard model predictive control (MPC), to verify the viability and superior performance of the proposal regarding: (a) ramp-tracking capability of temperature and load; (b) the rejections of a reactivity disturbance of -1 cent and a secondary sodium inlet temperature disturbance of <inline-formula> <tex-math notation="LaTeX">$+10 ^{o}F$ </tex-math></inline-formula>; and (c) a simulation with uncertainty in reactor design. The simulations show that the GPC-SFR type-2 overcome the GPC-SFR type-1 robustness and performance.https://ieeexplore.ieee.org/document/10078237/Generalized predictive controlorthonormal Laguerre functionspolynomial reference trackingquadratic programmingsodium fast reactor |
| spellingShingle | Luis Felipe Da Silva Carlos Pereira Edson Antonio Batista Joao Onofre Pereira Pinto Belle R. Upadhyaya J. Wesley Hines A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors IEEE Access Generalized predictive control orthonormal Laguerre functions polynomial reference tracking quadratic programming sodium fast reactor |
| title | A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors |
| title_full | A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors |
| title_fullStr | A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors |
| title_full_unstemmed | A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors |
| title_short | A New Proposal Generalized Predictive Control Algorithm With Polynomial Reference Tracking Applied for Sodium Fast Reactors |
| title_sort | new proposal generalized predictive control algorithm with polynomial reference tracking applied for sodium fast reactors |
| topic | Generalized predictive control orthonormal Laguerre functions polynomial reference tracking quadratic programming sodium fast reactor |
| url | https://ieeexplore.ieee.org/document/10078237/ |
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