LAPSE:2023.12635
Published Article
LAPSE:2023.12635
A Finite-Time Differentiator with Application to Nuclear Reactor Inverse Period Measurement
February 28, 2023
Abstract
The measurement of the growth rate, or the so-called inverse period, of a nuclear reactor is crucial for safety monitoring and control purposes. Due to the inevitable statistical fluctuation of neutron flux at low power-levels, it is difficult to precisely estimate the inverse period from the pulse counting data in the source range. Motivated by the equivalence of the measurement of inverse period and the differentiation of the logarithm of pulse count, a new differentiator is proposed, which is finite-time convergent with a bounded steady estimation error. The feasibility of this newly-built finite-time differentiator is verified by numerical simulation. Then, based on the pulse count data recorded during the startup of a test reactor, the differentiator is used to estimate the inverse period and its derivative, as well as the period and the reactivity of the reactor. The results show that the differentiator is capable of providing a satisfactory estimation of signal derivatives under strong noise.
The measurement of the growth rate, or the so-called inverse period, of a nuclear reactor is crucial for safety monitoring and control purposes. Due to the inevitable statistical fluctuation of neutron flux at low power-levels, it is difficult to precisely estimate the inverse period from the pulse counting data in the source range. Motivated by the equivalence of the measurement of inverse period and the differentiation of the logarithm of pulse count, a new differentiator is proposed, which is finite-time convergent with a bounded steady estimation error. The feasibility of this newly-built finite-time differentiator is verified by numerical simulation. Then, based on the pulse count data recorded during the startup of a test reactor, the differentiator is used to estimate the inverse period and its derivative, as well as the period and the reactivity of the reactor. The results show that the differentiator is capable of providing a satisfactory estimation of signal derivatives under strong noise.
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Keywords
differentiator, finite-time stability, growth rate, reactor period
Suggested Citation
Zhu Y, Dong Z, Li D, Huang X, Dong Y, Zhang Y, Zhang Z. A Finite-Time Differentiator with Application to Nuclear Reactor Inverse Period Measurement. (2023). LAPSE:2023.12635
Author Affiliations
Zhu Y: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Dong Z: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China [ORCID]
Li D: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Huang X: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Dong Y: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China [ORCID]
Zhang Y: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Zhang Z: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Dong Z: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China [ORCID]
Li D: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Huang X: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Dong Y: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China [ORCID]
Zhang Y: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Zhang Z: Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Journal Name
Energies
Volume
15
Issue
12
First Page
4487
Year
2022
Publication Date
2022-06-20
ISSN
1996-1073
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PII: en15124487, Publication Type: Journal Article
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LAPSE:2023.12635
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https://doi.org/10.3390/en15124487
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Feb 28, 2023
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