• Title/Summary/Keyword: Unit step function

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Manabe 표준형의 계단 응답 특성 및 제어기설계에의 응용 (The Characteristices of Step Responses of the Manabe Standard Forms and Its Application to the Controller Desegn)

  • 강환일
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.586-592
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    • 1999
  • We investigate the characteristic of 소데 responses of the Manabe standard form which is used recently for design of the controller. We obtain some theorems and these theorems have the properties of the relationship between the roots of the polynomial and the stability indices which are used for the Manabe standard form. The Manabe standard form has the following properties: The sum of the squal to zero, the sum of the reciprocal of the squared roots is greater than zero and the parameter $\tau$ is the negative value of the sum of the reciprocal of the roots. We compare the step responses of the Manabe standard form with those of the ITAE form, the dead beat response and Bessel forms. We choose the 6th order closed loop polynomial and keep the same settling time for the four forms. Under these conditions we find that the Manabe standard form have faster 90% rising time than the Bessel and dead beat response. We see that the ITAE, bessel and dead beat responses have some overshoot, whereas the Manabe standard form has none. We also compare the Manabe form with the other three forms for the controller design using the pole assignment technique. If the open loop transfer function is a type-1 system (transfer functions having one integrator), then, for the closed loop system associated with the open loop transfer function, the steady state error of the unit ramp input is obtained in terms of the parameter $\tau$ of the Manabe standard form.

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선로용량한계를 고려한 단기 발전계획 (Short-Term Generation Scheduling Considering Transmission Line Capacity Limits)

  • 김준현;송현선;유인근
    • 대한전기학회논문지
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    • 제35권12호
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    • pp.594-602
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    • 1986
  • This paper proposes an effective algorithm for short-term generation scheduling for the purpose of economic and secure operation of thermal power systems. Especially, in the procedure of solution by Dynamic Programming, Linear Programming is introduced to promote the possibility of optimal solution and the security of power systems, and evaluation of security function is improved by the application of seven step approximation of normal distribution. Several necessary considerations, that is, time dependent start-up and constant down cost of generating units, demand and spinning reserve constraints, minimum up and sown time constraints, the number of possible start-up of a generating unit in a d and the number of generating units which can be started up at the same time at the same bus, are also incoporated to elevate the usability and flexibility of the algorithm. Finally, the effectiveness of the proposed algorithm has been demonstrated by applying to the 6-gen. 21-bus model power system.

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이득동조를 위한 퍼지 PID 제어기의 연구 (A study on The Fuzzy PID Controller for an gain self-tuning)

  • 유상욱
    • 대한전자공학회논문지TE
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    • 제37권3호
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    • pp.60-65
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    • 2000
  • 산업공정제어에 지속적으로 널리 사용되는 PID제어기의 최적이득 자동 동조에 관한 새로운 방법을 제안한다. 이 방법은 먼저 제어대상의 계단응답으로부터 모델링된 1차 지연계를 Fade 근사화하고, Ziegler-Nichols의 방법으로 초기값을 정한 후, 최대 오버슈트, 감쇠비, 상승시간, 정정시간을 포함하는 퍼지추론함수를 최대로 하는 PID계수를 구함으로써 제어대상의 특성이나 부동작시간의 변화에도 적응성이 좋다는 장점이 있다

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공작기계 열변형 보정을 위한 발열실험 방법에 관한 연구 (A Study on the Thermal Experiment for the Compensation of Thermal Deformation in Machine Tools)

  • 윤인준;김형식;고태조;김희술
    • 한국공작기계학회논문집
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    • 제13권1호
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    • pp.1-8
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    • 2004
  • Thermal distortion is a critical issue in machine tools, especially in high speed machining. This is the reason why recent machine tools have thermal compensation function. To compensate thermal distortion, it is necessary to make a model that has some relationship between temperature and deformation. Various experimental methods ye widely been used in thermal test: constant spindle speed, unit step speed increase, random spindle speed, etc. This paper focuses on which type of spindle operation condition is good for thermal experiment. Also, experimental data is modeled using multiple linear regression models and compared each other to select a method. Consequently, it turned out at e condition of 75% constant of maximum spindle speed is good enough to generate temperature and distortion data.

공리적 설계에서 정보량 계산 방법

  • 신광섭;이정욱;이상일;권용덕;박경진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 춘계학술대회 논문요약집
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    • pp.52-52
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    • 2004
  • 공리적 설계는 미국 매사추세츠 공과대학의 서남표 교수에 의해 창출되고 보급되어 온 설계이론이다. 그러나 좀 더 정확히 말한다면 설계이론 이라기보다는 일반적인 공학적 과정에 적용할 수 있는 원리를 포함하는 설계프레임워크라 할 수 있다. 기계공학에서의 역학과 같이 설계를 하기 위해서는 과학적인 기본원리에 따라 설계해야 한다는 것이다. 그러므로 공리적 설계는 설계과정에서 설계자에게 과학적 원리를 제공하여 설계자가 이성적이고 논리적으로 설계를 진행할 수 있도록 하여, 시행착오를 줄이며, 좀 더 창조적이고 최상의 설계를 선택할 수 있도록 도움을 주는 것이다.(중략)

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w 변환에 의한 기계-유압식 조속기를 가진 선박용 디젤기관의 속도제어 시스템 설계 (The velocity control system design of marine diesel engine with mechanical-hydraulic governor using w transformation method)

  • 강창남;박진길;정주윤;노영오
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 B
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    • pp.696-698
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    • 1997
  • The marine diesel engine have been widely applied with a mechanical hydraulic governor to control the ship speed for long time. But it was recently very difficult for the mechanical hydraulic governor to control the speed of engine under the condition of low speed and low load because of jiggling by rough fluctuation of rotating torque and hunting by dead time of diesel engine. In order to analyze the speed control system the transfer function was converted from z to w transformation. The author proposed velocity control system with feedback loop by PID controller in order to stabilize for unstable area. The influence of dead time was discussed by Nichols chart and unit step response curve. It was confirmed through computer simulation that the performance improvement of a mechanical hydraulic governor can be obtained by PID controller.

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전력설비시스템을 위한 퍼지 평가함수와 신경회로망을 사용한 PID제어기의 자동동조 (An Auto-tuning of PID Controller using Fuzzy Performance Measure and Neural Network for Equipment System)

  • 이수흠;;박현태;이내일
    • 한국조명전기설비학회지:조명전기설비
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    • 제13권2호
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    • pp.195-195
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    • 1999
  • This paper is Proposed a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control in various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nickels method. So we can find the parameters of PID controller so as to minimize the fuzzy criterion function which includes the maximum overshoot, damping ratio, rising time and settling time. Finally, after studying the parameters of PID controller by Backpropagation of Neural-Network, when we give new K, L, T values to Neural-Network, the optimized parameter of PID controller is found by Neural-Network Program.

The Use of Particle Swarm Optimization for Order Allocation Under Multiple Capacitated Sourcing and Quantity Discounts

  • Ting, Ching-Jung;Tsai, Chi-Yang;Yeh, Li-Wen
    • Industrial Engineering and Management Systems
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    • 제6권2호
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    • pp.136-145
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    • 2007
  • The selection of suppliers and the determination of order quantities to be placed with those suppliers are important decisions in a supply chain. In this research, a non-linear mixed integer programming model is presented to select suppliers and determine the order quantities. The model considers the purchasing cost which takes into account quantity discount, the cost of transportation, the fixed cost for establishing suppliers, the cost for holding inventory, and the cost of receiving poor quality parts. The capacity constraints for suppliers, quality and lead-time requirements for the parts are also taken into account in the model. Since the purchasing cost, which is a decreasing step function of order quantities, introduces discontinuities to the non-linear objective function, it is not easy to employ traditional optimization methods. Thus, a heuristic algorithm, called particle swarm optimization (PSO), is used to find the (near) optimal solution. However, PSO usually generates initial solutions randomly. To improve the PSO solution quality, a heuristic procedure is proposed to find an initial solution based on the average unit cost including transportation, purchasing, inventory, and poor quality part cost. The results show that PSO with the proposed initial solution heuristic provides better solutions than those with PSO algorithm only.

퍼지 평가함수를 사용한 PID제어기의 자동 동조 (An Auto-tuning of PID Controller using Fuzzy Criterion Function)

  • 류상욱;김봉재;정광조;정원용;이수흠
    • 한국조명전기설비학회지:조명전기설비
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    • 제8권3호
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    • pp.64-70
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    • 1994
  • 본 연구에서는 공정제어에 널리 사용되는 PID제어기의 최적 자동 동조(Auto-tuning)에 관한 새로운 방법을 제안한다. 이 방법은 먼저 제어대상의 계단응답으로부터 모델링된 1차 지연계를 파데근사화하고, Ziegler-Nichols의 방법으로 초기값을 정한 후, 최대 오버슈트, 감쇠비, 상승시간, 정정시간을 포함하는 퍼지 평가함수를 최대로 하는 PID계수를 구함으로써 제어대상의 특성이나 부동작시간의 변화에도 적응성이 좋다는 장점이 있다.

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공리적 설계에서 정보량 계산 방법 (Calculation of Information Contents in Axiomatic Design)

  • 신광섭;이정욱;이상일;권용덕;박경진
    • 한국정밀공학회지
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    • 제22권6호
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    • pp.183-191
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    • 2005
  • Axiomatic design offers a scientific base for design in an efficient way. It is well known that it has two axioms: the Independence Axiom and the Information Axiom. Many applications of the Independence Axiom have been published, however, the Information Axiom has been mainly applied to IFR (functional requirement) - 1DP (design parameter) problems except fer a few case studies. This research presents various methods for calculation of information content. Generally, the information content is evaluated by the probability of success. The probability of success is calculated in two ranges: the FR range and the DP range. In the FR range, the graphical method is utilized with uniform distribution of the DP. In the FP range, the integration method is employed. It is noted that any distribution function of the DP can be accommodated in the integration method. The developed method can be applied to a decoupled design with multiple FRs and DPs. The developed method is extended to a coupled design and a design with a hierarchical structure of axiomatic design.