All possible second-order four-impedance two-stage Colpitts oscillators

The development of DC distribution network technology has provided a more efficient way for renewable energy accommodation and flexible power supply. A two-stage stochastic scheduling model for the hybrid AC/DC distribution network is proposed to study the active-reactive power coordinated optimal dispatch. In this framework, the wind power scenario set is utilized to deal with its uncertainty in real time, which is integrated into the decision-making process at the first stage. The charging/discharging power of ESSs and the transferred active/reactive power by VSCs can be adjusted when wind power uncertainty is observed at the second stage. Moreover, the proposed model is transformed into a mixed integer second-order cone programming optimization problem by linearization and second-order cone relaxation techniques to solve. Finally, case studies are implemented on the modified IEEE 33-node AC/DC distribution system and the simulation results demonstrate the effectiveness of the proposed stochastic scheduling model and solving method.

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Existence of positive solutions to second order four-point impulsive differential problems with deviating arguments

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.06.001 ◽

2009 ◽

Vol 58 (4) ◽

pp. 805-817 ◽

Cited By ~ 11

Author(s):

Tadeusz Jankowski

Keyword(s):

Positive Solutions ◽

Second Order ◽

Deviating Arguments ◽

Existence Of Positive Solutions ◽

Order Four

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Bandwidth-enhanced lumped-element absorptive bandstop filter topology and its application to LTCC bandstop filter design

International Journal of Microwave and Wireless Technologies ◽

10.1017/s1759078714001147 ◽

2014 ◽

Vol 7 (6) ◽

pp. 691-698 ◽

Cited By ~ 10

Author(s):

Juseop Lee ◽

Byungguk Kim ◽

Kangho Lee ◽

William J. Chappell

Keyword(s):

Low Temperature ◽

Filter Design ◽

Second Order ◽

Center Frequency ◽

Q Factor ◽

First Order ◽

Lumped Element ◽

Bandstop Filter ◽

Analytic Design ◽

Order Four

In this paper, we show a second-order (four-resonator) absorptive bandstop filter circuit topology which gives a larger bandwidth compared to a first-order topology. Due to the absorptive characteristic, it creates a large attenuation at the center frequency using low-Q resonators. Since low-Q resonators can be used in generating a large attenuation, small-size resonators can be employed in bandstop filter design. Analytic design equations are provided so that a higher-order absorptive bandstop filter can be designed analytically. It is also shown that the second-order filter topology exhibits a better frequency selectivity having a same bandwidth. The proposed filter topology has been applied to a design of a miniaturized low-temperature co-fired ceramic bandstop filter with low-Q resonators. The Q-factor of the lumped-element resonators has been chosen to be 5 for demonstration.

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