Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic m...Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic model for the point kinetics system with multi-group of precursors,including the effect of temperature feedback, has been developed and analyzed. A major mathematical and inflexible scheme to the point kinetics model is obtained by merging the fractional and stochastic technique. A novel split-step method including mathematical tools of the Laplace transforms, Mittage–Leffler function, eigenvalues of the coefficient matrix, and its corresponding eigenvectors have been used for the fractional stochastic matrix differential equation. The validity of the proposed technique has been demonstrated via calculations of the mean and standard deviation of neutrons and precursor populations for various reactivities: step, ramp, sinusoidal, and temperature reactivity feedback. The results of the proposed method agree well with the conventional one of the deterministic point kinetics equations.展开更多
Objective To compare the clinical therapeutic effects on scapulohumeral periarthritis between kinetic acupuncture on the distal points of the affected meridians and shoulder three-needle therapy.Methods Fifty cases of...Objective To compare the clinical therapeutic effects on scapulohumeral periarthritis between kinetic acupuncture on the distal points of the affected meridians and shoulder three-needle therapy.Methods Fifty cases of scapulohumeral periarthritis were randomly divided into an observation group and a control group,25 cases for each.The cases in observation group were treated with kinetic acupuncture on the distal points of the affected meridians.For example,the case of Hand-Taiyin type was treated with Yújì （鱼际 LU 10） and the case of Hand-Yangming type was treated with Hégǔ （合谷 LI 4）,etc.The cases in control group were treated with shoulder three-needle therapy,in which,Jiānqián （肩前 Extral）,Jiānyú （肩髃 LI 15） and Jiānliáo （肩髎 TE 14） were selected;7 days of treatment made one session,totally 2 sessions were required.Results In observation group,the curative rate based on ROM of shoulder joint was 72.0% （18/25）,which was superior to that of 40.0% （10/25） in control group （P0.05）.After treatment,the improvements of McGill SF-MPQ score,VAS and PPI in observation group were all superior to those in control group （all P0.05）.Conclusion The kinetic acupuncture on the distal points of the affected meridians is advantageous at analgesia and motor improvements of shoulder joint in treatment of scapulohumeral periarthritis as compared with shoulder three-needle therapy.展开更多
Nuclear power plants exhibit non-linear and time-variable dynamics.Therefore,designing a control system that sets the reactor power and forces it to follow the desired load is complicated.A supercritical water reactor...Nuclear power plants exhibit non-linear and time-variable dynamics.Therefore,designing a control system that sets the reactor power and forces it to follow the desired load is complicated.A supercritical water reactor(SCWR)is a fourth-generation conceptual reactor.In an SCWR,the non-linear dynamics of the reactor require a controller capable of control-ling the nonlinearities.In this study,a pressure-tube-type SCWR was controlled during reactor power maneuvering with a higher order sliding mode,and the reactor outgoing steam temperature and pressure were controlled simultaneously.In an SCWR,the temperature,pressure,and power must be maintained at a setpoint(desired value)during power maneuvering.Reactor point kinetics equations with three groups of delayed neutrons were used in the simulation.Higher-order and classic sliding mode controllers were separately manufactured to control the plant and were compared with the PI controllers speci-fied in previous studies.The controlled parameters were reactor power,steam temperature,and pressure.Notably,for these parameters,the PI controller had certain instabilities in the presence of disturbances.The classic sliding mode controller had a higher accuracy and stability;however its main drawback was the chattering phenomenon.HOSMC was highly accurate and stable and had a small computational cost.In reality,it followed the desired values without oscillations and chattering.展开更多
文摘Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic model for the point kinetics system with multi-group of precursors,including the effect of temperature feedback, has been developed and analyzed. A major mathematical and inflexible scheme to the point kinetics model is obtained by merging the fractional and stochastic technique. A novel split-step method including mathematical tools of the Laplace transforms, Mittage–Leffler function, eigenvalues of the coefficient matrix, and its corresponding eigenvectors have been used for the fractional stochastic matrix differential equation. The validity of the proposed technique has been demonstrated via calculations of the mean and standard deviation of neutrons and precursor populations for various reactivities: step, ramp, sinusoidal, and temperature reactivity feedback. The results of the proposed method agree well with the conventional one of the deterministic point kinetics equations.
文摘Objective To compare the clinical therapeutic effects on scapulohumeral periarthritis between kinetic acupuncture on the distal points of the affected meridians and shoulder three-needle therapy.Methods Fifty cases of scapulohumeral periarthritis were randomly divided into an observation group and a control group,25 cases for each.The cases in observation group were treated with kinetic acupuncture on the distal points of the affected meridians.For example,the case of Hand-Taiyin type was treated with Yújì （鱼际 LU 10） and the case of Hand-Yangming type was treated with Hégǔ （合谷 LI 4）,etc.The cases in control group were treated with shoulder three-needle therapy,in which,Jiānqián （肩前 Extral）,Jiānyú （肩髃 LI 15） and Jiānliáo （肩髎 TE 14） were selected;7 days of treatment made one session,totally 2 sessions were required.Results In observation group,the curative rate based on ROM of shoulder joint was 72.0% （18/25）,which was superior to that of 40.0% （10/25） in control group （P0.05）.After treatment,the improvements of McGill SF-MPQ score,VAS and PPI in observation group were all superior to those in control group （all P0.05）.Conclusion The kinetic acupuncture on the distal points of the affected meridians is advantageous at analgesia and motor improvements of shoulder joint in treatment of scapulohumeral periarthritis as compared with shoulder three-needle therapy.
文摘Nuclear power plants exhibit non-linear and time-variable dynamics.Therefore,designing a control system that sets the reactor power and forces it to follow the desired load is complicated.A supercritical water reactor(SCWR)is a fourth-generation conceptual reactor.In an SCWR,the non-linear dynamics of the reactor require a controller capable of control-ling the nonlinearities.In this study,a pressure-tube-type SCWR was controlled during reactor power maneuvering with a higher order sliding mode,and the reactor outgoing steam temperature and pressure were controlled simultaneously.In an SCWR,the temperature,pressure,and power must be maintained at a setpoint(desired value)during power maneuvering.Reactor point kinetics equations with three groups of delayed neutrons were used in the simulation.Higher-order and classic sliding mode controllers were separately manufactured to control the plant and were compared with the PI controllers speci-fied in previous studies.The controlled parameters were reactor power,steam temperature,and pressure.Notably,for these parameters,the PI controller had certain instabilities in the presence of disturbances.The classic sliding mode controller had a higher accuracy and stability;however its main drawback was the chattering phenomenon.HOSMC was highly accurate and stable and had a small computational cost.In reality,it followed the desired values without oscillations and chattering.
