http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
On the decompasition of CS-module and its applications
Rim, Seog-Hoon Korean Mathematical Society 1998 대한수학회논문집 Vol.13 No.2
In this short note, we try to apply the decomposition theorem of CS-module to reprove the direct sum of CS-modules be CS under certain condition.
Weak F I-extending Modules with ACC or DCC on Essential Submodules
Tercan, Adnan,Yasar, Ramazan Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.2
In this paper we study modules with the W F I<sup>+</sup>-extending property. We prove that if M satisfies the W F I<sup>+</sup>-extending, pseudo duo properties and M/(Soc M) has finite uniform dimension then M decompose into a direct sum of a semisimple submodule and a submodule of finite uniform dimension. In particular, if M satisfies the W F I<sup>+</sup>-extending, pseudo duo properties and ascending chain (respectively, descending chain) condition on essential submodules then M = M<sub>1</sub> ⊕ M<sub>2</sub> for some semisimple submodule M<sub>1</sub> and Noetherian (respectively, Artinian) submodule M<sub>2</sub>. Moreover, we show that if M is a W F I-extending module with pseudo duo, C<sub>2</sub> and essential socle then the quotient ring of its endomorphism ring with Jacobson radical is a (von Neumann) regular ring. We provide several examples which illustrate our results.
Deepshikha Singla,P.R.Sharma 전력전자학회 2019 JOURNAL OF POWER ELECTRONICS Vol.19 No.6
Multilevel inverters have appeared as a successful and utilitarian solution in many power applications. The prime objective of an inverter is to keep the fundamental component of the output voltage of a multilevel inverter at a preferred value. Equally important is the need to keep the harmonic components in the output voltage within stated harmonic limits. Therefore, the basis of this research is to develop a harmonic minimization function that optimizes the switching angles of cascaded H-bridge multilevel inverter. Due to benefits of the Cuckoo Search (CS) algorithm, it is applied to determine the switching angles, which are further used to generate the switching pattern for firing the H-bridges of multilevel inverter. Simulation results are compared with SPWM based firing scheme. The switching frequency for SPWM firing scheme is taken as 200 Hz since the switching losses are increased when switching frequency is high. To validate the ability of Cuckoo Search optimized firing scheme in minimization of harmonics, experimental results obtained from hardware prototype of Five Level Cascaded H-Bridge Multilevel Inverter equipped with a FPGA controller are presented to verify the simulation results.
Singla, Deepshikha,Sharma, P.R. The Korean Institute of Power Electronics 2019 JOURNAL OF POWER ELECTRONICS Vol.19 No.6
Multilevel inverters have appeared as a successful and utilitarian solution in many power applications. The prime objective of an inverter is to keep the fundamental component of the output voltage of a multilevel inverter at a preferred value. Equally important is the need to keep the harmonic components in the output voltage within stated harmonic limits. Therefore, the basis of this research is to develop a harmonic minimization function that optimizes the switching angles of cascaded H-bridge multilevel inverter. Due to benefits of the Cuckoo Search (CS) algorithm, it is applied to determine the switching angles, which are further used to generate the switching pattern for firing the H-bridges of multilevel inverter. Simulation results are compared with SPWM based firing scheme. The switching frequency for SPWM firing scheme is taken as 200 Hz since the switching losses are increased when switching frequency is high. To validate the ability of Cuckoo Search optimized firing scheme in minimization of harmonics, experimental results obtained from hardware prototype of Five Level Cascaded H-Bridge Multilevel Inverter equipped with a FPGA controller are presented to verify the simulation results.