Dynamic behaviour of frequency is crucial for power system operation and control.Several frequency response models have been proposed to reveal frequency dynamics from different aspects.A comprehensive software packag...Dynamic behaviour of frequency is crucial for power system operation and control.Several frequency response models have been proposed to reveal frequency dynamics from different aspects.A comprehensive software package incorporating major frequency response models is needed for analysis and control of power system frequency dynamics.In this paper,an approach for developing a programmable and open software package for frequency response studies is proposed.The framework of the package is extendable with reduced frequency response models.Essential models for frequency response study are included,e.g.,generator,load,and under-frequency load shedding(UFLS).The provided application program interfaces(APIs)enable simulation with high-level languages by calling dynamic link library and makes the package programmable.An advanced application module is developed for quantitative assessment of transient frequency deviation.APIs can also be used for model extension and secondary development.To demonstrate the usage of the package,several examples are illustrated to explain how to perform simulations with the package,and to perform advanced applications using scripting with the provided APIs.展开更多
To accurately determine the shedding frequency of the cavitation cloud in a submerged cavitation jet,the spectral analysis and the proper orthogonal decomposition(POD)for high-speed photography images are performed.Th...To accurately determine the shedding frequency of the cavitation cloud in a submerged cavitation jet,the spectral analysis and the proper orthogonal decomposition(POD)for high-speed photography images are performed.The spectrums of 6 different kinds of image signals(the area-averaged gray level,the line-averaged gray level,the point gray level,the cavitation length,width,and area)are calculated and compared.The line-averaged gray level is found to be optimal in determining the shedding frequency but an accurate frequency can only be obtained in the stable-frequency zone where the cavitation cloud sheds.In repeated experiments,the plateau-shape distribution of the main frequency is established with a deviation of 10.8%.A revised Reynolds number Re'is defined and the shedding frequency can be correlated to Re'by a power law when the cavitation number is less than 0.02.This relationship is validated by the experimental data in literature.The first mode of the POD characterizes the ensemble-average of the cavitation cloud while the second mode is the major part of the cavitation cloud transient components.The modes 2-5 are organized in pairs,which confirms the periodic feature of the cavitation cloud in the submerged cavitation jet.Near the nozzle exit,the modes 2-5 are symmetrically distributed in the jet shear layer.The shedding frequency of the cloud cavitation can also be precisely determined by performing the spectral analysis of the weighting coefficients of the mode 2.This paper shows that the two parameters,namely,the line-averaged gray level and the weighting coefficients of the mode 2,can be confidently used to calculate the shedding frequency of the cavitation cloud in a submerged cavitation jet.展开更多
基金National Natural Science Foundation of China(No:51477092).
文摘Dynamic behaviour of frequency is crucial for power system operation and control.Several frequency response models have been proposed to reveal frequency dynamics from different aspects.A comprehensive software package incorporating major frequency response models is needed for analysis and control of power system frequency dynamics.In this paper,an approach for developing a programmable and open software package for frequency response studies is proposed.The framework of the package is extendable with reduced frequency response models.Essential models for frequency response study are included,e.g.,generator,load,and under-frequency load shedding(UFLS).The provided application program interfaces(APIs)enable simulation with high-level languages by calling dynamic link library and makes the package programmable.An advanced application module is developed for quantitative assessment of transient frequency deviation.APIs can also be used for model extension and secondary development.To demonstrate the usage of the package,several examples are illustrated to explain how to perform simulations with the package,and to perform advanced applications using scripting with the provided APIs.
基金supported by the National Natural Science Foundation of China(Grant No.41961144026)the Chinese Ministry of Science and Technology(Grant No.2016YFE0124600).
文摘To accurately determine the shedding frequency of the cavitation cloud in a submerged cavitation jet,the spectral analysis and the proper orthogonal decomposition(POD)for high-speed photography images are performed.The spectrums of 6 different kinds of image signals(the area-averaged gray level,the line-averaged gray level,the point gray level,the cavitation length,width,and area)are calculated and compared.The line-averaged gray level is found to be optimal in determining the shedding frequency but an accurate frequency can only be obtained in the stable-frequency zone where the cavitation cloud sheds.In repeated experiments,the plateau-shape distribution of the main frequency is established with a deviation of 10.8%.A revised Reynolds number Re'is defined and the shedding frequency can be correlated to Re'by a power law when the cavitation number is less than 0.02.This relationship is validated by the experimental data in literature.The first mode of the POD characterizes the ensemble-average of the cavitation cloud while the second mode is the major part of the cavitation cloud transient components.The modes 2-5 are organized in pairs,which confirms the periodic feature of the cavitation cloud in the submerged cavitation jet.Near the nozzle exit,the modes 2-5 are symmetrically distributed in the jet shear layer.The shedding frequency of the cloud cavitation can also be precisely determined by performing the spectral analysis of the weighting coefficients of the mode 2.This paper shows that the two parameters,namely,the line-averaged gray level and the weighting coefficients of the mode 2,can be confidently used to calculate the shedding frequency of the cavitation cloud in a submerged cavitation jet.
