• Title/Summary/Keyword: ${\pi}_2$-generators

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Fault Detection and Isolation of System Using Multiple Pi Observers (비례적분(PI) 관측기를 이용한 시스템의 고장진단)

  • Kim, H.S.;Kim, S.B.;Shigeyasu Kawaji
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.41-47
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    • 1997
  • Fault diagnosis problem is currently a subject of extensive research in the control field. Although there are several works on the fault detection and isolation observers and the residual generators, those are con- cerned with only the detection of actuator failures or sensor failures. So, the perfect detection and isolation for the actuator and sensor failures is strongly required in the field of the practical applications. In this paper, a strategy of fault diagnosis using multiple proportional integral (PI) observers including the magnitude of actuator failures is provided. It is shown that actuator failures are detected and isolated perfectly by monitoring the integrated error between actual output and estimated output by a PI observer. Also in presence of complex actuator and sensor failures, these failures are detected and isolated by multiple PI observers.

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Modular Tranformations for Ramanujan's Tenth Order Mock Theta Functions

  • Srivastava, Bhaskar
    • Kyungpook Mathematical Journal
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    • v.45 no.2
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    • pp.211-220
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    • 2005
  • In this paper we obtain the transformations of the Ramanujan's tenth order mock theta functions under the modular group generators ${\tau}\;{\rightarrow}\;{\tau}\;+\;1\;and\;{\tau}\;{\rightarrow}\;-1/ {\tau}\;where\;q\;=\;e^{{\pi}it}$.

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ON THE GEOMETRY OF THE CROSSED PRODUCT OF GROUPS

  • Ates, Firat;Cevik, Ahmet Sinan;Karpuz, Eylem Guzel
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1301-1314
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    • 2021
  • In this paper, firstly, we work on the presentation of the crossed product of groups of general types. After that we find the generating pictures (Second Homotopy Group) of this product by looking the relations from a geometric viewpoint. Finally, we give some applications.

Development of New Effectiveness Assessment Indices of Pumped Storage Power Plant (양수발전기의 신 효용성 평가 지수 개발)

  • Lee, Sung-Hun;Choi, Jae-Seok;Cha, Jun-Min;Kim, Daniel
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.7
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    • pp.867-874
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    • 2014
  • The pumped storage power plants have excellent load following characteristics. It can also be committed quickly for synchronous reserve when it is in the generating mode because it can readily increase its generating power and, consequently, increases the overall system reliability. There are strong incentives for standing the system reliability. Additionally, $CO_2$ emission can be typically impacted due to operation of pumped generators. The increase or decrease of $CO_2$ depends on the generation mix. This paper proposes evaluation of reliability, economy and environment of power system considering pumped generator. This paper describes three case studies of the reliability and economy and environment according to capacity factor and storage capacity of pumped generators. The probabilistic production simulation model is used in this paper. The practicality and effectiveness of the proposed approach are demonstrated by simulation studies for a real size power system model on the $5^{th}$ power plan in Korea.

A Study on Determination of VPP Cloud Charges (VPP 클라우드 요금 산정에 관한 연구)

  • Lim, Chung-Hwan;Kim, Dong-Sub;Moon, Chae-Joo
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.2
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    • pp.299-308
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    • 2022
  • Recent, energy transition policies are driving to increase in the number of small photovoltaic(PV) generators. It is difficult for system operators to accurately anticipate the amount of power generated from such small scale PV generation, and this may disrupt dispatch schedules and result in an increase in cost. The need for a Virtual Power Plant(VPP) is emerging as a way of resolving these problems, as it would integrate small-scale PV plants and eliminate uncertainty about the amount of power generated, control voltage, and provide power reserves. In this paper, the cost evaluation methods are described for determination of VPP cloud charges both Net Present Value(NPV) method and Profitability Index(PI) method, the calculated outcomes of the two types of cost evaluation methods are presented in detail. It seems we secure profitability as we get 1.22 of profitability index from calculation results, it may be attractive for the aggregator as NPV is enough for satisfying profitability.

Fluid-Elastic Instability of Tube Bundles in Two-Phase Cross-Flow (2상 횡유동을 받는 튜브군의 유체탄성 불안정성)

  • 김범식;장효환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1948-1966
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    • 1991
  • Two-phase cross-flow exists in many shell-tube heat exchangers such as condensers, reboilers and nuclear steam generators. To avoid problems due to excessive vibration, information on vibration excitation in two-phase cross-flow is required. Fluid-elastic instability is discussed in this paper. Four tube bundle configurations were subjected to increasing flow up to the onset of fluid-elastic instability. The tests were done on bundles with one flexible tube surrounded by rigid tubes. The fluid-elastic instability behavior is different for intermittent flows than for bubbly flows. For bubbly flows, the observed instabilities satisfy the relationship V/fd=K(2.pi..zeta. m/rho. $d^{21}$)$^{0.51}$ in which the minimum instability factor K was found to be 2.3 for bundles of p/d=1.22. The lowest critical velocities for fluid-elastic instability were experienced with parallel-triangular tube bundles. For intermittent flow, the observed instabilities did not follow the forgoing relation-ship. Significantly lower flow velocities were required for instability..

Development of Transmission Expansion Planning Optimization Software Considering Integration of Generation and Transmission Facilities (발·송전설비 통합성을 고려한 전력계통계획 전산모형 프로그램 개발)

  • Hur, Don;Jung, Hae-Sung;Ryu, Heon-Su;Cho, Kong-Wook
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.2
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    • pp.16-26
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    • 2010
  • The transmission valuation methodology we propose here captures the interaction between generation and transmission investment decisions recognizing that a transmission expansion can impact the profitability of new resources investment, so that a methodology should consider both the objectives of investors in resources and the transmission planner. In this perspective, this paper purports to develop the mixed-integer programming based transmission expansion planning optimization software, which is well designed to determine the construction time and place of new generators, transmission lines, and substations as well as their capacities to minimize total expenditures related to their investment and operations while meeting technical constraints such as capacity margin, constitution ratio of power resources, spinning reserves, energy and fuel constraints, transmission line outages and losses, pi-type branching, and so on. Finally, Garver's simple system is adopted to validate not simply the accuracy but the efficiency of the proposed model in this paper.

Hierarchical Voltage Control of a Wind Power Plant Using the Adaptive IQ-V Characteristic of a Doubly-Fed Induction Generator

  • Kim, Jinho;Park, Geon;Seok, Jul-Ki;Lee, Byongjun;Kang, Yong Cheol
    • Journal of Electrical Engineering and Technology
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    • v.10 no.2
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    • pp.504-510
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    • 2015
  • Because wind generators (WGs) in a wind power plant (WPP) produce different active powers due to wake effects, the reactive power capability of each WG is different. This paper proposes a hierarchical voltage control scheme for a WPP that uses a WPP controller and WG controller. In the proposed scheme, the WPP controller determines a voltage error signal by using a PI controller and sends it to a doubly-fed induction generator (DFIG). Based on the reactive current-voltage ($I_Q-V$) characteristic of a DFIG, the DFIG injects an appropriate reactive power corresponding to the voltage error signal. To enhance the voltage recovery capability, the gains of the $I_Q-V$ characteristic of a DFIG are modified depending on its reactive current capability so that a DFIG with greater reactive current capability may inject more reactive power. The proposed scheme enables the WPP to recover the voltage at the point of common coupling (PCC) to the nominal value within a short time after a disturbance by using the adaptive $I_Q-V$ characteristics of a DFIG. The performance of the proposed scheme was investigated for a 100 MW WPP consisting of 20 units of 5 MW DFIGs for small and larger disturbances. The results show the proposed scheme successfully recovers the PCC voltage within a short time after a disturbance.

Fuzzy Algorithms to Generate Level Controllers for Nuclear Power Plant Steam Generators (원전 증기 발생기 수위제어용 퍼지 알고리즘)

  • Moon, Byung-Soo;Park, Jae-Chang;Kim, Dong-Hwa;Kim, Byung-Koo
    • Nuclear Engineering and Technology
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    • v.25 no.2
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    • pp.222-232
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    • 1993
  • In this paper, we present two sets of fuzzy algorithms for the steam generator level control ; one for the high power operations where the flow error is available and the other for the low power operations where the flow error is not available. These are converted to a PID type controller for the high power case and to a quadratic function form of a controller for the low power case. These controllers are implemented on the Compact Nuclear Simulator at Korea Atomic Energy Research Institute and tested by a set of four simulation experiments for each. For both cases, the results show that the total variation of the level error and of the flow error are about 50% of those by the PI controllers with about one half of the control action. For the high power case, this is mainly due to the fact that a combination of two PD type controllers in the velocity algorithm form rather than a combination of two PI type controllers in the position algorithm form is used. For the low power case, the controller is essentially a PID type with a very small integral component where the average values for the derivative component input and for the controller output are used.

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