• Title/Summary/Keyword: pH paper

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THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

  • Jang, Lee-Chae
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1181-1188
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    • 2010
  • q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

PSS Modeling and Cerification for #6 Generator of Boryong T/P (보령 T/P 6호기 PSS 모델링과 검증)

  • Choi, H.K.;Kim, D.J.;Moon, Y.H.;Kim, Y.H.;Yoon, Y.B.
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.31-34
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    • 2002
  • It studied modelling about employing analog PSS in domestic 500MW grade standard thermoelectric power plant in this paper. Modeling and parameters were verified by simulation of PSS response characteristics measured in AVR step examination and using power plant system model parameters decided by generator characteristics test. Through this PSS modelling research, contributed in domestic electrical power system small signal stability as that do modelling to be possible exact analysis of power system.

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Optimal Placement of Measurements using Genetic Algorithms for Harmonic State Estimation (고조파 상태 추정에 있어서 유전 알고리즘을 이용한 최적 측정위치 선정)

  • Chung, H.H.;Wang, Y.P.;Lee, J.P.;Park, H.C.
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.298-300
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    • 2002
  • The design of a measurement system to perform Harmonic State Estimation (HSE) is a very complex problem. In particular, the number of available harmonic instruments(Continuous Harmonic Analysis in Real Time : CHART) is always limited. Therefore, a systematic procedure is needed to design the optimal placement of measurement points. This paper presents a new HSE algorithm which is based on an optimal placement of measurement points using Genetic Algorithms (GAs). This HSE has been applied to the New Zealand AC Power System for the validation of the new HSE algorithm. The study results have indicated an economical and effective method for optimal placement of measurement points using GAs in the HSE.

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Application of Optimal PID Controller for the Frequency Control of Power Systems (전력계통 주파수 제어를 위한 최적 PID 제어기 적용)

  • Kim, H.J.;Wang, Y.P.;Cho, K.S.;Chung, D.I.;Chung, H.H.
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.113-117
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    • 1992
  • This paper is discribed to the application of PID controller for the frequency control of power systems. The proposed optimal PID controller is designed to obtain gain Parameters of P,I,D's coefficients according to optimization technique using the relatively ingeneous simplex method. The PID controller which is applied to one area, tie-line two area with(or without) exciter is showed good performance rather than that of optimal Pl controllor.

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Design of Optimal pm Controller Using Genetic Algorithm for Load Frequency Control of Power System (전력계통의 부하주파수 제어를 위한 유전 알고리즘을 사용한 최적 PID 제어기 설계)

  • Lee, J.P.;Wang, Y.P.;Kim, S.H.;Hur, D.R.;Chong, H.H.
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.257-260
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    • 1997
  • This paper designs the optimal PID controller for load frequency control on 2-area power system. Genetic algorithm is utilized to optimize parameters of PID controller which is applied to power system. Using two-point crossover, uniform crossover and one-point crossover, Search performance of genetic algorithm with each crossover method is considered. In case of load variation in 1-area, the dynamic characteristic of power system is considered. The simulation results show that the proposed PID controller is better control performance than PID controller using Ziegler-Nichols method.

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ON CONVERGENCE OF THE MODIFIED GAUSS-SEIDEL ITERATIVE METHOD FOR H-MATRIX LINEAR SYSTEM

  • Miao, Shu-Xin;Zheng, Bing
    • Communications of the Korean Mathematical Society
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    • v.28 no.3
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    • pp.603-613
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    • 2013
  • In 2009, Zheng and Miao [B. Zheng and S.-X. Miao, Two new modified Gauss-Seidel methods for linear system with M-matrices, J. Comput. Appl. Math. 233 (2009), 922-930] considered the modified Gauss-Seidel method for solving M-matrix linear system with the preconditioner $P_{max}$. In this paper, we consider the modified Gauss-Seidel method for solving the linear system with the generalized preconditioner $P_{max}({\alpha})$, and study its convergent properties when the coefficient matrix is an H-matrix. Numerical experiments are performed with different examples, and the numerical results verify our theoretical analysis.

RTDS Simulation for the System Blackstart of the Honan Area (RTDS를 이용한 전계통 정전시 호남지역 시송전선로 검토)

  • Bong, O.Y.;Kim, K.D.;Lee, M.R.;Lee, N.H.
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.223-225
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    • 2001
  • When a wide area blackout occurres, reenergizing transmission lines should be done at first. The KEPCO(Korea Electric Power Corporation) divides whole power system grid Into seven subsystem. This paper describes the investigation of facts, such as voltage rising and system stability, which occur in case that the blackstart plant of the Honam area will be displaced from Juam H/P to Seojingang H/P.

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An Optimal Algorithm of Harmonic State Estimation using Immune Algorithm on Power System (IA를 이용한 전력시스템 고조파 상태 추정 최적 알고리즘)

  • Park, I.P.;Wang, Y.P.;Chung, H.H.;Park, H.C.;Ahn, B.C.
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.92-94
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    • 2003
  • The design of a measurement system to perform Harmonic State Estimation(HSE) is a very complex problem. In particular, the number of available harmonic instruments (Continuous Harmonic Analysis in Real Time : CHART) is always limited. Therefore, a systematic procedure is needed to design the optimal placement of measurement points. This paper presents an optimal algorithm of HSE which is based on an optimal placement of measurement points using Immune Algorithm (IAs). This HSE has been applied to power system for the validation of an optimal algorithm of HSE. The study results have indicated an economical and effective method for optimal placement of measurement points using IAs in the HSE.

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On-Line Economic Dispatch Algorithm including Transmission Loss (송전손실을 고려한 온라인 경제급전 알고리즘)

  • Jeon, D.H.;Kim, K.J.;Choi, J.H.;Jang, K.C.;Lim, J.H.;Lee, S.J.
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.847-849
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    • 1998
  • In this paper, we propose the generalized on-line economic dispatch algorithm including transmission loss. it was derived from the process developing matrix form of the classic ELD problem. it can rapidly calculate generation power using transmission loss and transmission loss sensitivity calculated from the result of power flow analysis. Transmission loss sensitivity ${\partial}P_{loss}/{\partial}P_G$ is derived using optimization technique.

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Some Finite Integrals Involving The Product of Srivastava's Polynomials and A Certain $\bar{H}$-Function with Applications

  • Singh, Yashwant;Garg, Atul
    • Kyungpook Mathematical Journal
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    • v.48 no.2
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    • pp.165-171
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    • 2008
  • The aim of this paper is to evaluate four finite integrals involving the product of Srivastava's polynomials, a generalized hypergeometric function and $\bar{H}$-function proposed by Inayat Hussian which contains a certain class of Feynman integrals. At the end, we give an application of our main findings by connecting them with the Riemann-Liouville type of fractional integral operator. The results obtained by us are basic in nature and are likely to find useful applications in several fields notably electric networks, probability theory and statistical mechanics.