The exact solutions for stationary responses of one class of the second order and three classes of higher order nonlinear systems to parametric and/or external while noise excitations are constructed by using Fokkcr-P...The exact solutions for stationary responses of one class of the second order and three classes of higher order nonlinear systems to parametric and/or external while noise excitations are constructed by using Fokkcr-Planck-Kolmogorov et/ualion approach. The conditions for the existence and uniqueness and the behavior of the solutions are discussed. All the systems under consideration are characterized by the dependence ofnonconservative fqrces on the first integrals of the corresponding conservative systems and arc catted generalized-energy-dependent f G.E.D.) systems. It is shown taht for each of the four classes of G.E.D. nonlinear stochastic systems there is a family of non-G.E.D. systems which are equivalent to the G.E.D. system in the sense of having identical stationary solution. The way to find the equivalent stochastic systems for a given G.E.D. system is indicated and. as an example, the equivalent stochastic systems for the second order G.E. D. nonlinear stochastic system are given. It is pointed out and illustrated with example that the exact stationary solutions for many non-G.E.D. nonlinear stochastic systems may he found by searching the equivalent G.E.D. systems.展开更多
Correcting students’composition errors has always been an unrewarding and time consuming task for English teachers.However,’pair response’can involve both the students’and the teacher’s joint efforts in dealing w...Correcting students’composition errors has always been an unrewarding and time consuming task for English teachers.However,’pair response’can involve both the students’and the teacher’s joint efforts in dealing with errors.It is argued that pair response can reduce the incidence of errors and provide a chance for the learners to learn from each other.Suggestions for using this teaching technique are also provided.展开更多
This paper proposes an online framework to characterize demand response(DR)over time.The proposed framework facilitates obtaining and updating the daily consumption patterns of customers.The essential concept of respo...This paper proposes an online framework to characterize demand response(DR)over time.The proposed framework facilitates obtaining and updating the daily consumption patterns of customers.The essential concept of response profile class(RPC)is introduced for characterization and complemented by the measure of the variability in customer behavior.This paper uses a modified version of the incremental clustering by fast search and find of density peaks(CFSFDP)algorithm for daily profiles,considering the multivariate normal kernel density estimator and incremental forms of the Davies-Bouldin(i DB)and Xie-Beni(i XB)validity indices.Case studies conducted using real-world and simulated daily profiles of residential and commercial Chilean end-users have demonstrated how the proposed framework can continuously characterize DR.The proposed framework is proven to achieve realistic customer models for effective energy management by estimating the customer response to price signals at the distribution system operator(DSO)level.展开更多
基金Project Supported by The National Natural Science Foundation of China
文摘The exact solutions for stationary responses of one class of the second order and three classes of higher order nonlinear systems to parametric and/or external while noise excitations are constructed by using Fokkcr-Planck-Kolmogorov et/ualion approach. The conditions for the existence and uniqueness and the behavior of the solutions are discussed. All the systems under consideration are characterized by the dependence ofnonconservative fqrces on the first integrals of the corresponding conservative systems and arc catted generalized-energy-dependent f G.E.D.) systems. It is shown taht for each of the four classes of G.E.D. nonlinear stochastic systems there is a family of non-G.E.D. systems which are equivalent to the G.E.D. system in the sense of having identical stationary solution. The way to find the equivalent stochastic systems for a given G.E.D. system is indicated and. as an example, the equivalent stochastic systems for the second order G.E. D. nonlinear stochastic system are given. It is pointed out and illustrated with example that the exact stationary solutions for many non-G.E.D. nonlinear stochastic systems may he found by searching the equivalent G.E.D. systems.
文摘Correcting students’composition errors has always been an unrewarding and time consuming task for English teachers.However,’pair response’can involve both the students’and the teacher’s joint efforts in dealing with errors.It is argued that pair response can reduce the incidence of errors and provide a chance for the learners to learn from each other.Suggestions for using this teaching technique are also provided.
基金supported in part by the National Agency for Research and Development(ANID)(No.ANID-PFCHA/Doctorado-Nacional/21202246)the partial support of ANID under Grant Fondap SERC(No.15110019)。
文摘This paper proposes an online framework to characterize demand response(DR)over time.The proposed framework facilitates obtaining and updating the daily consumption patterns of customers.The essential concept of response profile class(RPC)is introduced for characterization and complemented by the measure of the variability in customer behavior.This paper uses a modified version of the incremental clustering by fast search and find of density peaks(CFSFDP)algorithm for daily profiles,considering the multivariate normal kernel density estimator and incremental forms of the Davies-Bouldin(i DB)and Xie-Beni(i XB)validity indices.Case studies conducted using real-world and simulated daily profiles of residential and commercial Chilean end-users have demonstrated how the proposed framework can continuously characterize DR.The proposed framework is proven to achieve realistic customer models for effective energy management by estimating the customer response to price signals at the distribution system operator(DSO)level.
