• Title/Summary/Keyword: pi-space

Search Result 333, Processing Time 0.028 seconds

RELATIONS BETWEEN DECOMPOSITION SERIES AND TOPOLOGICAL SERIES OF CONVERGENCE SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
    • /
    • v.22 no.1
    • /
    • pp.79-91
    • /
    • 2006
  • In this paper, we will show some relations between decomposition series {$\pi^{\alpha}q\;:\;{\alpha}$ is an ordinal} and topological series {$\tau_{\alpha}q\;:\;{\alpha}$ is an ordinal} for a convergence structure q and the formular ${\pi}^{\beta}(\tau_{\alpha}q)={\pi}^{{\omega^{\alpha}\beta}}q$, where $\omega$ is the first limit ordinal and $\alpha$ and $\beta({\geq}1)$ are ordinals.

  • PDF

PID Controller Tuning using Co-Efficient Diagram method for Indirect Vector Controlled Drive

  • Durgasukumar, G.;Rama Subba Redddy, T.;Pakkiraiah, B.
    • Journal of Electrical Engineering and Technology
    • /
    • v.12 no.5
    • /
    • pp.1821-1834
    • /
    • 2017
  • Medium voltage control applications due to obtain better output voltage and reduced electro-magnetic interference multi level inverter is used. In closed loop control with inverter, the PI controller does not operate satisfactorily when the operating point changes. This paper presents the performance of Co-Efficient diagram PI controller based indirect vector controlled induction motor drive fed from three-level inverter under different operating conditions (dynamic and steady state). The proposed Co-Efficient diagram PI controller based three level inverter significantly reduces the torque ripple compared to that of conventional PI controller. The performance of the indirect vector controlled induction motor drive has been simulated at different operating conditions. For three-level inverter control, a simplified space vector modulation technique is implemented, which reduces the coordinate transformations complications in the algorithms. The performance parameters, torque ripple contents and THD of induction motor drive with three-level inverter is compared under different operating conditions using CDM-PI and conventional PI controllers.

Local time dependent Pi2 frequencies observed by THEMIS spacecraft near dawn and dusk in the inner magnetosphere

  • Kim, Gwan-Hyeok;Gwon, Hyeok-Jin;Lee, Dong-Hun;Lee, Eun-Sang;Takahashi, K.;Angelopoulos, V.;Mozer, F.;Glassmeier, K.H.;Park, Y.D.;Sutcliffe, P.
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.35 no.2
    • /
    • pp.51.1-51.1
    • /
    • 2010
  • We report an example of Pi2 pulsation exhibiting different frequency between dawn and dusk. This Pi2 pulsation occurred around 1932 UT on February 14, 2008, and was observed at low-latitude Bohyun (BOH, L = 1.35, MLT = 3.8) and Hermanus (HER, L = 1.83, MLT = 20.1) stations. The pulsation starts simultaneously at both stations but the frequency is higher at BOH than at HER. At the time of the Pi2, THEMIS-A (THA) and THEMIS-D (THD) were on dawn (L = 2.9, MLT = 5.3) and dusk (L = 2.8, MLT = 18), respectively, in the inner magnetosphere. We find a nearly identical waveform and period between THA ${\delta}Bz$ and BOH ${\delta}H$ and between THD ${\delta}Bz$ and HER ${\delta}H$ with a near $0^{\circ}$ phase delay. This observation implies that Pi2-associated fastmode wave in the inner magnetosphere is not excited globally as a single frequency at all longitudes. We suggest that the different frequency between dawn and dusk is due to dawn-dusk asymmetry of the plasmasphere.

  • PDF

GROUPOID AS A COVERING SPACE

  • Park, Jong-Suh;Lee, Keon-Hee
    • Bulletin of the Korean Mathematical Society
    • /
    • v.21 no.2
    • /
    • pp.67-75
    • /
    • 1984
  • Let X be a topological space. We consider a groupoid G over X and the quotient groupoid G/N for any normal subgroupoid N of G. The concept of groupoid (topological groupoid) is a natural generalization of the group(topological group). An useful example of a groupoid over X is the foundamental groupoid .pi.X whose object group at x.mem.X is the fundamental group .pi.(X, x). It is known [5] that if X is locally simply connected, then the topology of X determines a topology on .pi.X so that is becomes a topological groupoid over X, and a covering space of the product space X*X. In this paper the concept of the locally simple connectivity of a topological space X is applied to the groupoid G over X. That concept is defined as a term '1-connected local subgroupoid' of G. Using this concept we topologize the groupoid G so that it becomes a topological groupoid over X. With this topology the connected groupoid G is a covering space of the product space X*X. Further-more, if ob(.overbar.G)=.overbar.X is a covering space of X, then the groupoid .overbar.G is also a covering space of the groupoid G. Since the fundamental groupoid .pi.X of X satisfying a certain condition has an 1-connected local subgroupoid, .pi.X can always be topologized. In this case the topology on .pi.X is the same as that of [5]. In section 4 the results on the groupoid G are generalized to the quotient groupoid G/N. For any topological groupoid G over X and normal subgroupoid N of G, the abstract quotient groupoid G/N can be given the identification topology, but with this topology G/N need not be a topological groupoid over X [4]. However the induced topology (H) on G makes G/N (with the identification topology) a topological groupoid over X. A final section is related to the covering morphism. Let G$_{1}$ and G$_{2}$ be groupoids over the sets X$_{1}$ and X$_{2}$, respectively, and .phi.:G$_{1}$.rarw.G$_{2}$ be a covering spimorphism. If X$_{2}$ is a topological space and G$_{2}$ has an 1-connected local subgroupoid, then we can topologize X$_{1}$ so that ob(.phi.):X$_{1}$.rarw.X$_{2}$ is a covering map and .phi.: G$_{1}$.rarw.G$_{2}$ is a topological covering morphism.

  • PDF

A Study on Spot Welder of PI Controller Using Evolution Strategy (진화전략에 의한 PI제어기의 스폿용접기에 관한 연구)

  • Kim, Jae-Mun;Kim, Yuen-Chung;Won, Chung-Yuen;Kim, Gyu-Sik
    • Proceedings of the KIEE Conference
    • /
    • 1997.11a
    • /
    • pp.531-533
    • /
    • 1997
  • PI(proportional-integral) controller has been extensively used in the industrial field. But in practicle case, it is difficult to tune PI gains. Evolution Strategy(ES) is used as an effective search algorithm in optimization programs. In this paper we proposed a PI controller for Spot welder system using ES with varying search space. ES with varying search space which depends on fitness values at each generation is used to tune PI control parameters. Simulation results show the proposed algorithm has accurate and robust performance with effective search ability.

  • PDF

An Experimental Measurement on Transient Thermal Response in a PI-Controlled VAV System

  • Kim, Seo-Young;Moon, Jeong-Woo;Kim, Won-Nyun
    • International Journal of Air-Conditioning and Refrigeration
    • /
    • v.11 no.1
    • /
    • pp.10-16
    • /
    • 2003
  • The present study performs an experimental measurement on transient thermal response of an air-conditioned space by a variable air volume (VAV) system with a PI(pro-portional-integral) control logic. A thermal chamber with a PI controlled VAV unit is constructed to verify the previously suggested stratified multi-zone model. The effects of thermal parameters and control parameters such as supply air temperature and PI control factor are investigated by implementing the thermal chamber test. The experimental results obtained show that transient behavior of the air-conditioned space-temperature is in good accordance with the simulation results of the stratified thermal model.

SEQUENCES IN THE RANGE OF A VECTOR MEASURE

  • Song, Hi Ja
    • Korean Journal of Mathematics
    • /
    • v.15 no.1
    • /
    • pp.13-26
    • /
    • 2007
  • We prove that every strong null sequence in a Banach space X lies inside the range of a vector measure of bounded variation if and only if the condition $\mathcal{N}_1(X,{\ell}_1)={\Pi}_1(X,{\ell}_1)$ holds. We also prove that for $1{\leq}p<{\infty}$ every strong ${\ell}_p$ sequence in a Banach space X lies inside the range of an X-valued measure of bounded variation if and only if the identity operator of the dual Banach space $X^*$ is ($p^{\prime}$,1)-summing, where $p^{\prime}$ is the conjugate exponent of $p$. Finally we prove that a Banach space X has the property that any sequence lying in the range of an X-valued measure actually lies in the range of a vector measure of bounded variation if and only if the condition ${\Pi}_1(X,{\ell}_1)={\Pi}_2(X,{\ell}_1)$ holds.

  • PDF

Development of CanSat Instruction Materials using Raspberry Pi for Space Education in University and Its Application (대학생의 우주 교육을 위한 라즈베리 파이 기반 캔위성 수업자료 개발과 적용)

  • Yoo, Seunghoon;Lee, Sanghyun;Lee, Sangku;Lee, Younggun
    • Journal of Engineering Education Research
    • /
    • v.26 no.1
    • /
    • pp.3-11
    • /
    • 2023
  • The purpose of this study is to develop Raspberry Pi-based CanSat instruction materials for liberal arts classes to be used in university space education. The educational satellite simulation program is developed by applying the ADDIE program consisting of analysis, design, development, execution, and evaluation of 15 lessons per semester. The usefulness of the instruction materials is evaluated by a validity test of a total of 6 experts. The proposed materials are applied to 100 college students from various majors. To analyze the impact on creative problem-solving ability, a questionnaire is conducted before and after class, and as a result, it is confirmed that there is a significant improvement in all areas after class. The class satisfaction survey is conducted for a total of 10 questions, and the average score is 4.41 out of 5, which is high. In conclusion, the proposed instruction materials make it possible to achieve successful space education using Raspberry Pi and improve creative problem-solving ability in universities.

${\pi}G{\alpha}$-LOCALLY CLOSED SETS AND ${\pi}G{\alpha}$-LOCALLY CONTINUOUS FUNCTIONS

  • Rani, I. Arockia;Balachandran, K.;Janaki, C.
    • East Asian mathematical journal
    • /
    • v.24 no.4
    • /
    • pp.317-328
    • /
    • 2008
  • In this paper we introduce ${\pi}G{\alpha}$-LC sets, ${\pi}G{\alpha}-LC^*$ sets and ${\pi}G{\alpha}-LC^{**}$ sets and different notions of generalizations of continuous functions in topological space and discuss some of their properties. Further we prove pasting lemma for ${\pi}G{\alpha}-LC^{**}$ continuous functions and ${\pi}G{\alpha}-LC^{**}$ irresolute functions.

  • PDF

High Performance Control of SynRM Drive using Space Vector PWM of FAM-PI (FAM-PI의 공간벡터 PWM을 이용한 SynRM 드라이브의 고성능 제어)

  • Kim, Do-Yeon;Ko, Jae-Sub;Choi, Jung-Sik;Jung, Chul-Ho;Jung, Byung-Jin;Chung, Dong-Hwa
    • Proceedings of the KIEE Conference
    • /
    • 2008.04c
    • /
    • pp.119-121
    • /
    • 2008
  • This paper is proposed a high Performance speed control of the synchronous reluctance motor through the SV-PWM(Space Vector Pulse Width Modulation) of FAM-PI(Fuzzy Adaptive Mechanism-PI). SV-PWM is controlled using FAM-PI control. SV-PWM can be maximum used maximum do link voltage and is excellent control method due to characteristic to reducing harmonic more than others. Fuzzy control has a advantage which can be robustly controlled. FAM-PI controller is changed fixed gain of PI controller using fuzzy adaptive mechanism(FAM) to match operating condition. The results on a speed controller of IPMSM are presented to show the effectiveness of the proposed gain tuner. And this controller is better than the fixed gains one in terms of robustness, even under great variations of operating conditions and load disturbance.

  • PDF