• Title/Summary/Keyword: power series

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ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS

  • Moussavi, Ahmad;Padashnik, Farzad;Paykan, Kamal
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.361-374
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    • 2019
  • Let R be a ring, ($S,{\leq}$) a strictly ordered monoid, and ${\omega}:S{\rightarrow}End(R)$ a monoid homomorphism. In [18], Mazurek, and Ziembowski investigated when the skew generalized power series ring $R[[S,{\omega}]]$ is a domain satisfying the ascending chain condition on principal left (resp. right) ideals. Following [18], we obtain necessary and sufficient conditions on R, S and ${\omega}$ such that the skew generalized power series ring $R[[S,{\omega}]]$ is a right or left Archimedean domain. As particular cases of our general results we obtain new theorems on the ring of arithmetical functions and the ring of generalized power series. Our results extend and unify many existing results.

SOLUTIONS OF FRACTIONAL ORDER TIME-VARYING LINEAR DYNAMICAL SYSTEMS USING THE RESIDUAL POWER SERIES METHOD

  • Mahmut MODANLI;Sadeq Taha Abdulazeez;Habibe GOKSU
    • Honam Mathematical Journal
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    • v.45 no.4
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    • pp.619-628
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    • 2023
  • In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

A Parodic Comparison On Body & Political Power in Traditional Animation & Shrek Series - Centered on the Political Power Discourse of Foucault - (전통애니메이션과 슈렉시리즈에 나타난 몸과 정치권력에 대한 패러디적 특성비교 - 푸코의 정치권력 담론을 중심으로 -)

  • Lee, Hyewon;Kim, Min-Ja
    • Journal of the Korean Society of Costume
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    • v.63 no.1
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    • pp.56-63
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    • 2013
  • This study provides comparative analysis on the parodying of the body and political powers in the traditional animation and Shrek Series based on the discourse of Foucault. For the research, parody theories and Foucault's discourse were reviewed through the literature study, and Shrek Series was analyzed through positive study. The Shrek Series overturned stereotypes of the traditional animation by means of parody, especially showing a true body and a political power in the post-modern society. Foucault focused on the body and newly changed political power in the post-modern society. A body was changed into resistant and combative forms rather than obedient and submissive under control of the community power. In addition, political power was changed into relationship-oriented, decentralized and creative power rather than the centralized and class-based. In the traditional fairy tales, heroes and heroines are beautiful and perfect characters who obtain wealth and honor and live a happy life forever. However, heros and heroines in the Shrek Series are not attractive and do not have the ideal body shape, but rather have creative and active personalities and show indifference towards wealth and honor. Furthermore, their dress colors show the change into lower value and higher chroma. The Shrek Series is a future-oriented animation which created a fluid body and a creative political power in the post-modern society.

Fast computation method for the voltage-current analysis on the rectangular power-ground plane (직사각형의 전력-접지층에 대한 전압전류 특성해석을 위한 빠른 계산방법)

  • Suh, Young-Suk
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.1
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    • pp.140-145
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    • 2005
  • The existing analytical expression for the voltage between the power and ground plane consist of metal-dielectric-metal board is expressed in the two dimensional infinite series. To reduce the computation time, the two dimensional infinite series is converted to the one dimensional infinite series using the summation formula of Fourier series. We applied these equations to the analysis of voltage between the $9‘{\times}4'$ size power-ground plane. The derived one dimensional infinite series shows the more rapid convergency and the more accurate result than the two dimensional infinite series. This equation can be applied to the power-ground plane analysis which needs a lot of the repeating computation.

Three-Phase Current Balancing Strategy with Distributed Static Series Compensators

  • Yoon, Hanjong;Yoon, Dongkwan;Choi, Dongmin;Cho, Younghoon
    • Journal of Power Electronics
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    • v.19 no.3
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    • pp.803-814
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    • 2019
  • This paper proposes a three-phase current balancing strategy in a power transmission system employing distributed static series compensators (DSSCs). With the proposed variable quadrature voltage injection method, the DSSC emulates either an inductive or a capacitive impedance into the transmission line, and the magnitudes of the phase currents are balanced. Hence, the phase imbalances in the power transmission system are significantly reduced. As a result, the power transfer capability of the transmission lines can be improved. The operational principle of the DSSCs, the hardware structure and the control algorithm are described in detail. Finally, the theoretical analyses and the proposed strategy are experimentally verified through a scaled down transmission system with DSSC prototypes.

Comparison of time series clustering methods and application to power consumption pattern clustering

  • Kim, Jaehwi;Kim, Jaehee
    • Communications for Statistical Applications and Methods
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    • v.27 no.6
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    • pp.589-602
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    • 2020
  • The development of smart grids has enabled the easy collection of a large amount of power data. There are some common patterns that make it useful to cluster power consumption patterns when analyzing s power big data. In this paper, clustering analysis is based on distance functions for time series and clustering algorithms to discover patterns for power consumption data. In clustering, we use 10 distance measures to find the clusters that consider the characteristics of time series data. A simulation study is done to compare the distance measures for clustering. Cluster validity measures are also calculated and compared such as error rate, similarity index, Dunn index and silhouette values. Real power consumption data are used for clustering, with five distance measures whose performances are better than others in the simulation.

Analysis of Powertrain Characteristics for Output Split Type Plug-in Hybrid Electric Vehicle (출력분기 기반 플러그인 하이브리드 전기자동차의 동력전달 시스템 특성 분석)

  • Kim, Jeongmin
    • Transactions of the Korean Society of Automotive Engineers
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    • v.23 no.1
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    • pp.112-121
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    • 2015
  • In this paper, powertrain of output split type plug-in hybrid electric vehicle is analyzed for the operation range of speed, torque, and power. First, it is assumed that the efficiency of motor is 100%. And, the speed and torque equations are derived based on the lever analogy. With the above equations, the simulations are performed for the powertrain of output split type plug-in hybrid electric vehicle. From the simulation results, it is found that the output torques of EV1 and series modes are larger than the EV2 and power split modes' ones. It means the EV1 and series modes can be used for the rapid acceleration. But the EV1 and series modes can be used only the velocity of under the 120 km/h. It is because the motor reaches its maximum speed when the velocity is over the 120 km/h for the EV1 and series modes. When the engine is turned on, the engine power is transmitted through the two motors. But, the power split mode shows the power split of engine at the output shaft, and it has the point of zero motor power. Thus, the transmission efficiency of the power split mode can be higher than the series mode's one, it the motor efficiency is considered.

An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.3
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

Resonant Converter System for Control Power Supply (제어용 전원으로 사용가능한 공진형 컨버터 시스템)

  • Ji Jun-Keun;Lim Young-Ha
    • Proceedings of the KIPE Conference
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    • 2003.07a
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    • pp.69-72
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    • 2003
  • In this paper new control strategy of series resonant converter system for control power supply is suggested. Frequency controlled series resonant converter system is robust to load variations because it is POSR(parallel output series resonant) type. And it provides stable output voltage by changing switching frequency to input voltage variations. Firstly, operation analysis about suggested series resonant converter system was carried. Then simulations using ACSL(Advanced Continuous Simulation Language) and experiments to actual system were carried to prove characteristics of suggested system.

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The Optimal Sizing and Efficient Driving Scheme of Series HEV (직렬형 HEV의 최적 용량산정과 효율적 운전방안)

  • 허민호
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.651-656
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    • 2000
  • This paper describes the optimal sizing of each component using computer simulation and presents the efficient operating scheme of series HEV using hardware simulator the equivalent system. As the sizing method of components have been experimental and empirical it is needed to spend much time and development cost. however the results of computer simulation will set the optimal sizing of components in short time. There are two type of driving control power-tracking mode and load-levelling mode in series HEV. This paper presents that series HEV be operated in the load-levelling mode which is more efficient that power-tracking mode.

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