• Title/Summary/Keyword: mathematical induction

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A Study on the Characteristics of Flexibility in Interior Architectural Composition -focused on Mathematical Arrangement Organization- (실내공간구성의 가변적 표현특성에 관한 연구 -수학적 배열원리를 중심으로-)

  • 이주현;신홍경
    • Korean Institute of Interior Design Journal
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    • no.21
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    • pp.10-16
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    • 1999
  • Mathematics is considered to the beginning of designing thinking because of the sense of logical order system. In this study, it was regarded the mathematics as the logic and the measurement of design system. as is often the case in history, mathematics, it is regard as conceptual model of architectural though, as aesthetic proportional measure and the mirror of thought. The direction of this study is rather multi-sided approaching to the spatial concept than one-sided plane. It is multi-acceptable way to apply mathematical principle to the pace and to be a flexible one. And boundary of interpretation of the flexibility means potential use-ability, and the strictly meaning of flexibility means that the acception of the various Secession and the Change of space. And the various interpretation of the flexibility only can expressed in the relation of opposite concept: the assembly and the disassembly, the expand and the decease, the open and the close and the construct and the de-construct. Mathematics provide the resonable way in architectural thinking and endow the order as logical organizatiov. Regarding these facts, this research is for making it possible to consider the expression property of interior space combination as the way of understanding the accepting of the changes of the times with the mathematical induction, using the rational method like the mathematical arrangement organizatiov.

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Development of Lesson Plan based on Storytelling and Searched the Possibility of Application (스토리텔링 기반의 교수-학습 과정안 구안 및 현장적용 가능성 탐색 - 고등학교 수학과 집합단원을 중심으로 -)

  • Kang, Han-Kyun;Kim, Hoy-Yong;Kim, Du-Gyu
    • Journal of Fisheries and Marine Sciences Education
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    • v.23 no.2
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    • pp.302-318
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    • 2011
  • The object of this study is to provide easily-understandable mathematics class to highschool students, who usually take no interest in mathematics, by apply teaching strategy based on storytelling to real lessons. The approaching methods for the mathematics education are emphasizing the mathematical education during making storytelling-studying plans, inducing the interest of the students by applying the mathematical situations in the story. The effects of the storytelling such as induction of the interest, persistency, perception of the practicality, smooth communication between teachers and students coincides with the way national mathematical education orients. This study contains the definition of the storytelling based on education, and applicability to the students, and application to the real lessons, and verification of the effects by focus-group interview with the students and observing teachers. I made the lesson plan based on storytelling for achievements to the object of the highschool mathematical study, and searched the best way to apply the lesson plan to the real lessons. I studied designing lesson strategy based on dissertations and books and reports directly related this study, and did focus-group interview to find advantages and disadvantages of the strategy. And finally I could make the well-applicable lesson plan.

Determination of Regulator Parameters and Transient Analysis of Modified Self-commutating CSI-fed IM Drive

  • Pandey, A.K.;Tripathi, S.M.
    • Journal of Electrical Engineering and Technology
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    • v.6 no.1
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    • pp.48-58
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    • 2011
  • In this paper, an attempt has been made to design the current and speed proportional and integral (PI) regulators of self-commutating current source inverter-fed induction motor drive having capacitors at the machine end and to investigate the transient performance of the same for step changes in reference speed. The mathematical model of the complete drive system is developed in closed loop, and the characteristic equations of the systems are derived using perturbation about steady-state operating point in order to develop the characteristic equations. The D-partition technique is used for finding the stable region in the parametric plane. Frequency scanning technique is used to confirm the stability region. Final selection of the regulator parameters is done by comparing the transient response of the current and speed loops for step variations in reference. The performance of the drive is observed analytically through MATLAB simulation.

Power System Oscillations Damping by Robust Decentralized DFIG Wind Turbines

  • Surinkaew, Tossaporn;Ngamroo, Issarachai
    • Journal of Electrical Engineering and Technology
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    • v.10 no.2
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    • pp.487-495
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    • 2015
  • This paper proposes a new robust decentralized power oscillation dampers (POD) design of doubly-fed induction generator (DFIG) wind turbine for damping of low frequency electromechanical oscillations in an interconnected power system. The POD structure is based on the practical $2^{nd}$-order lead/lag compensator with single input. Without exact mathematical model, the inverse output multiplicative perturbation is applied to represent system uncertainties such as system parameters variation, various loading conditions etc. The parameters optimization of decentralized PODs is carried out so that the stabilizing performance and robust stability margin against system uncertainties are guaranteed. The improved firefly algorithm is applied to tune the optimal POD parameters automatically. Simulation study in two-area four-machine interconnected system shows that the proposed robust POD is much superior to the conventional POD in terms of stabilizing effect and robustness.

Speed and efficiency control of induction motors via asymptotic decoupling

  • Kim, Gyu-Sik;Ha, In-Joong;Ko, Myoung-Sam;Kim, Dong-Il;Kim, Jeom-Geun
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.1041-1046
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    • 1989
  • In this paper, we attempt to control induction motors with high power efficiency as well as high dynamic performance by utilizing the recently developed theories: singular perturbation technique and noninteracting feedback control. Our controller does not need the transformation between a d-q synchronously rotating frame and a x-y stator-fixed frame. It is computationally quite simple. Furthermore, it does not depend on the rotor resistance. To illuminate the practical significance of our results, we present simulation and experimental results as well as mathematical performance analysis.

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Steady State Analysis of Series-Connected Self-Excited Wound Type Induction Generators (직렬접속 자기여자 권선형 유도전기의 정상상태해석)

  • Hong, Mun-Seok;Jwa, Chong-Keun
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.867-869
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    • 2000
  • This paper describes the steady state performance of a self-excited wound type induction generator with stator and rotor windings connected in series along with excitation capacitors. For this purpose a mathematical model is developed by means of the well known generalized machine theory utilizing d-q axis orthogonal transformation. This model can be used to analyze short shunt and long shunt generators as well as shunt generator and the algorithm for this analysis is persented. The characteristics of generators are compared one another by using parameters which are validated by Mostafa et al.

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Modeling and Control of a Doubly-Fed Induction Generator (DFIG) Wind Power Generation System for Real-time Simulations

  • Byeon, Gil-Sung;Park, In-Kwon;Jang, Gil-Soo
    • Journal of Electrical Engineering and Technology
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    • v.5 no.1
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    • pp.61-69
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    • 2010
  • This paper presents a study of a DFIG wind power generation system for real-time simulations. For real-time simulations, the Real-Time Digital Simulator (RTDS) and its user friendly interface simulation software RSCAD are used. A 2.2MW grid-connected variable speed DFIG wind power generation system is modeled and analyzed in this study. The stator-flux oriented vector control scheme is applied to the stator/rotor side converter control, and the back-to-back PWM converters are implemented for the decoupled control. The real-wind speed signal extracted by an anemometer is used for a realistic, reliable and accurate simulation analysis. Block diagrams, a mathematical presentation of the DFIG and a control scheme of the stator/rotor-side are introduced. Real-time simulation cases are carried out and analyzed for the validity of this work.

The Wide-Range Speed Control of Induction Motor using Fuzzy Reasoning (퍼지 추론을 이용한 유도 전동기의 광대역 속도 제어)

  • 최홍규;강태은;송영주;김병철;전광호
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2003.11a
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    • pp.69-76
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    • 2003
  • In this paper, a novel speed control system that implements the fuzzy logic controller(FLC) is proposed. Fuzzy controller is shown more excellent efficency than a conventional controllers in the strength aspect and non-linear controller using IF-THEN rule which can control without process the accurate mathematical modeling about induction motor. But we cannot expect that conventional fuzzy controller divide equally the space of input and output parameter and use the certain shape of triangle membership function. Therefore to develop the efficiency of conventional fuzzy controller, We need to scale the range of membership functions. In this study, proposed fuzzy controller has the ability controlling scale of membership functions using by output scaling factor.

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Instantaneous Speed and Mechanical Inertia Moment Estimation for the improvement of the Low Speed Control Characteristics of Induction Machines (유도전동기 저속 운전 특성 개선을 위한 순시 속도 및 기계관성모먼트 추정)

  • Hyun, Dong-Seok;Kim, Nam-Joon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.1 no.1
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    • pp.12-19
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    • 1996
  • The purpose of this paper is the improvement of the speed control characteristics of induction machines suited the low resolution incremental-type encoder in a low speed region. In order to improve the control characteristics in a low speed range, we propose that the instantaneous speed control method by the instantaneous speed detection which is implemented by the disturbance torque observer. Also, in case of the speed control by the instantaneous speed detection, the simple estimation method of the mechanical inertia moment is proposed. We will the carry out the mathematical verification of the proposed theory by the theoretic advisement connected with the convergence relationship of the estimated inertia moment to the real mechanical inertia moment. Computer simulations and experiments by the IGBT inverter adopting DSP is performed to verify the proposed method.

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Wind Turbine Simulator for Comparative Study of MPPT Controls

  • Putri, Adinda Ihsani;Ahn, Minho;Choi, Jaeho
    • Proceedings of the KIPE Conference
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    • 2012.07a
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    • pp.128-129
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    • 2012
  • This paper proposed the wind turbine simulator for comparative study of the MPPT controls. The development of this wind turbine simulator is based on the torque controlled induction motor. The torque reference is obtained from a mathematical model of wind turbine whereas the inputs are rotor speed, wind speed and fixed-value of pitch angle. By using this wind turbine simulator, the real wind is not needed. Wind speed information can be stored and regenerated anytime. Hence it is possible to apply the same wind speed condition to different MPPT controls. With the same wind speed condition, it can fairly compare the advantages and disadvantages of the MPPT controls. The proposed wind turbine simulator is verified through PSIM simulation.

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