• Title/Summary/Keyword: Optimal model

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Analysis of Electric Fields Distribution Inside Optimal Model GIS with a Metal Impurity or a Void (최적화 모형의 고체 절연체 내부 공극 또는 금속 이물질 존재시의 GIS 내부 전계 분포 해석)

  • Min, Seok-Won;Song, Gi-Hyeon;Kim, Eung-Sik
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.11
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    • pp.585-590
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    • 2002
  • In this paper, the 3 dimensional surface charge method is applied to calculate electric fields distribution inside a general and an optimal model of GIS with a metal impurity and a void respectively. We know the optimal model can reduce tangential electric fields at solid insulator surface to 70% of the general model and infulence fields distribution near a metal impurity. Meanwhile, we find the optimal model does not decrease field distribution inside a void in the insulator.

Active Suspension System Control Using Optimal Control & Neural Network (최적제어와 신경회로망을 이용한 능동형 현가장치 제어)

  • 김일영;정길도;이창구
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.4
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    • pp.15-26
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    • 1998
  • Full car model is needed for investigating as a entire dynamics of vehicle. In this study, 7DOF of full car model's dynamics is selected. This paper proposes the output feedback controller based on optimal control theory. Input data and output data from the optimal controller are used for neural network system identification of the suspension system. To do system identification, neural network which has robustness against nonlinearities and disturbances is adapted. This study uses back-propagation algorithm to train a multil-layer neural network. After obtaining a neural network model of a suspension system, a neuro-controller is designed. Neuro-controller controls suspension system with off-line learning method and multistep ahead prediction model based on the neural network model and a neuro-controller. The optimal controller and the neuro-controller are designed and then, both performances are compared through. For simulation, sinusoidal and rectangular virtual bumps are selected.

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ANALYSIS OF THE MITIGATION STRATEGIES FOR MARRIAGE DIVORCE: FROM MATHEMATICAL MODELING PERSPECTIVE

  • TESSEMA, HAILEYESUS;MENGISTU, YEHUALASHET;KASSA, ENDESHAW
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.857-871
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    • 2022
  • In this work, we formulated a mathematical model for divorce in marriage and extended in to an optimal control model. Firstly, we qualitatively established the model positivity and boundedness. Also we saw sensitivity analysis of the model and identified the positive and negative indices parameters. An optimal control model were developed by incorporating three time dependent control strategies (couple relationship education, reducing getting married too young & consulting separators to renew their marriage) on the deterministic model. The Pontryagin's maximum principle were used for the derivation of necessary conditions of the optimal control problem. Finally, with Newton's forward and backward sweep method numerical simulation were performed on optimality system by considering four integrated strategies. So that we reached to a result that using all three strategies simultaneously (the strategy D) is an optimal control in order to effectively control marriage divorce over a specified period of time. From this we conclude that, policymakers and stakeholders should use the indicated control strategy at a time in order to fight against Divorce in a population.

Real-Time Prediction of Optimal Control Parameters for Mobile Robots based on Estimated Strength of Ground Surface (노면의 강도 추정을 통한 자율 주행 로봇의 실시간 최적 주행 파라미터 예측)

  • Kim, Jayoung;Lee, Jihong
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.1
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    • pp.58-69
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    • 2014
  • This paper proposes a method for predicting maximum friction coefficients and optimal slip ratios as optimal control parameters for traction control or slip control of autonomous mobile robots on rough terrain. This paper focuses on strength of ground surface which indicates different characteristics depending on material types on surface. Strength of various material types can be estimated by Willoughby sinkage model and by a developed testbed which can measure forces, velocities, and displacements generated by wheel-terrain interaction. Estimated strength is collaborated on building improved Brixius model with friction-slip data from experiments with the testbed over sand and grass material. Improved Brixius model covers widespread material types in outdoor environments on predicting friction-slip characteristics depending on strength of ground surface. Thus, a prediction model for obtaining optimal control parameters is derived by partial differentiation of the improved Brixius model with respect to slip. This prediction model can be applied to autonomous mobile robots and finally gives secure maneuverability on rough terrain. Proposed method is verified by various experiments under similar conditions with the ones for real outdoor robots.

Study on Establishing Investment Mathematical Models for Each Application ESS Optimal Capacity in Nationwide Perspective (국가적 관점에서 각 용도별 ESS 적정용량 산정을 위한 투자수리모델 수립에 관한 연구)

  • Kim, Jung-Hoon;Youn, Seok-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.6
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    • pp.979-986
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    • 2016
  • At present, electric power industry around the world are being gradually changed to a new paradigm, such as electrical energy storage system, the wireless power transmission. Demand for ESS, the core technology of the new paradigm, has been growing worldwide. However, it is essential to estimate the optimal capacity of ESS facilities for frequency regulation because the benefit would be saturated in accordance with the investment moment and the increase of total invested capacity of ESS facilities. Hence, in this paper, the annual optimal mathematical investment model is proposed to estimate the optimal capacity and to establish investment plan of ESS facility for frequency regulation. The optimal mathematical investment model is newly established for each season, because the construction period is short and the operation effect for the load by seasons is different unlike previous the mathematical investment model. Additionally, the marginal operating cost is found by new mathematical operation model considering no-load cost and start-up cost as step functions improving the previous mathematical operation model. ESS optimal capacity is established by use value in use iterative methods. In this case, ESS facilities cost is used in terms of the value of the beginning of the year.

Optimal Energy Shift Scheduling Algorithm for Energy Storage Considering Efficiency Model

  • Cho, Sung-Min
    • Journal of Electrical Engineering and Technology
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    • v.13 no.5
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    • pp.1864-1873
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    • 2018
  • Energy shifting is an innovative method used to obtain the highest profit from the operation of energy storage systems (ESS) by controlling the charge and discharge schedules according to the electricity prices in a given period. Therefore, in this study, we propose an optimal charge and discharge scheduling method that performs energy shift operations derived from an ESS efficiency model. The efficiency model reflects the construction of power conversion systems (PCSs) and lithium battery systems (LBSs) according to the rated discharge time of a MWh-scale ESS. The PCS model was based on measurement data from a real system, whereas for the LBS, we used a circuit model that is appropriate for the MWh scale. In addition, this paper presents the application of a genetic algorithm to obtain the optimal charge and discharge schedules. This development represents a novel evolutionary computation method and aims to find an optimal solution that does not modify the total energy volume for the scheduling process. This optimal charge and discharge scheduling method was verified by various case studies, while the model was used to realize a higher profit than that realized using other scheduling methods.

Application of model reduction technique and structural subsection technique on optimal sensor placement of truss structures

  • Lu, Lingling;Wang, Xi;Liao, Lijuan;Wei, Yanpeng;Huang, Chenguang;Liu, Yanchi
    • Smart Structures and Systems
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    • v.15 no.2
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    • pp.355-373
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    • 2015
  • An optimal sensor placement (OSP) method based on structural subsection technique (SST) and model reduction technique was proposed for modal identification of truss structures, which was conducted using genetic algorithm (GA). The constraints of GA variables were determined by SST in advance. Subsequently, according to model reduction technique, the optimal group of master degrees of freedom and the optimal objective function value were obtained using GA in a case of the given number of sensors. Correspondingly, the optimal number of sensors was determined according to optimal objective function values in cases of the different number of sensors. The proposed method was applied on a scaled jacket offshore platform to get its optimal number of sensors and the corresponding optimal sensor layout. Then modal kinetic energy and modal assurance criterion were adopted to evaluate vibration energy and mode independence property. The experiment was also conducted to verify the effectiveness of the selected optimal sensor layout. The results showed that experimental modes agreed reasonably well with numerical results. Moreover the influence of the proposed method using different optimal algorithms and model reduction technique on optimal results was also compared. The results showed that the influence was very little.

Optimal Design for the Low Drag Tail Shape of the MIRA Model (MIRA Model 후미의 저저항 최적 설계)

  • Hur Nahmkeon;Kim Wook
    • Journal of computational fluids engineering
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    • v.4 no.1
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    • pp.34-40
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    • 1999
  • Drag reduction on vehicles are the main concern for the body shape designers in order to lower the fuel consumption rate and to aid the driving stability. The drag of bluff bodies like transportation vehicles is mostly pressure drag due to the flow separation, which can be minimized by controlling the location and size of the separation bubble. In the present study, the TURBO-3D code is incorporated with optimal algorithm based on analytical approximation method to obtain an optimal afterbody shape of the MIRA Model corresponding to the lowest drag coefficient. For this purpose three mutually independent afterbody angles are chosen as design variables, while the drag coefficient is chosen as an objective function. It is demonstrated in the present study that an optimal body shape having the lowest drag coefficient which is about 6% lower than that of the original shape has been successfully obtained within number of iterations of tile optimal design loop.

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Optimal Preventive Maintenance Policy Based on Aperiodic Model

  • Kim, Hee-Soo;Yum, Joon-Keun;Park, Dong-Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.335-342
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    • 2000
  • Preventive maintenance(PM) is an action taken on a repairable system while it is still operating, which needs to be carried out in order to keep the system at the desired level of successful operation. The PM improves the reliability of the system by predicting the possible failures and thereby preventing such failures from its occurrence. In this paper, we develop the optimal preventive maintenance policies based on the aperiodic PM model. We investigate an aperiodic preventive maintenance policy and propose several optimal PM policies which minimize the expected cost over an infinite time span. Park, Jung and Yum(2000) determine the optimal period and the optimal number of PMs based on Canfield's(1986) periodic model. Our techniques to derive the optimal preventive maintenance policies based on our aperiodic PM model is similar to those in Park, Jung and Yum(2000), which can be considered as the special case of our results.

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ROBUST OPTIMAL PROPORTIONAL REINSURANCE AND INVESTMENT STRATEGY FOR AN INSURER WITH ORNSTEIN-UHLENBECK PROCESS

  • Ma, Jianjing;Wang, Guojing;Xing, Yongsheng
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1467-1483
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    • 2019
  • This paper analyzes a robust optimal reinsurance and investment strategy for an Ambiguity-Averse Insurer (AAI), who worries about model misspecification and insists on seeking robust optimal strategies. The AAI's surplus process is assumed to follow a jump-diffusion model, and he is allowed to purchase proportional reinsurance or acquire new business, meanwhile invest his surplus in a risk-free asset and a risky-asset, whose price is described by an Ornstein-Uhlenbeck process. Under the criterion for maximizing the expected exponential utility of terminal wealth, robust optimal strategy and value function are derived by applying the stochastic dynamic programming approach. Serval numerical examples are given to illustrate the impact of model parameters on the robust optimal strategies and the loss utility function from ignoring the model uncertainty.