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김남욱(Namwook Kim),공진형(Jinhyung Kong),김정윤(Jungyun Kim),임원식(Wonsik Lim),박영일(Yeongil Park),이장무(Jangmoo Lee) 한국자동차공학회 2004 한국자동차공학회 춘 추계 학술대회 논문집 Vol.- No.-
In the cases of other friction or traction drives, slippage takes place when the transmitted force exceeds the limiting value at the contact points. However, the new friction model of SS-CVT(Semi-Spherical CVT) describes the slippage always exists when the force is transmitted. This slippage is caused by structural restriction of SS-CVT system. A numerical method was introduced to analyze the new friction model; and Hertzian theory and Stribeck effect applied to this method. As a result of this analysis, the shifting torque decreases when the operating velocity increases; and also the maximum traction force possible to be transmitted decreases along with the increase of the operating velocity. In addition, the slippage increases as the transmitted force enlarges.
김남욱(Namwook Kim),양시우(Siu Yang),양호림(Horim Yang),조성태(Sungtae Cho),임원식(Wonsik Lim),차석원(Suk won Cha) 한국자동차공학회 2007 한국자동차공학회 춘 추계 학술대회 논문집 Vol.- No.-
Dual mode hybrid systems are composed of few combined planetary gear sets. One planetary gear set has two DOF(degree of freedom) and the DOF increases when planetary gear sets are added, so it is complicate to analyze the systems. Methodologies of combining the planetary gear sets can be various methods, but it is needed that the methodologies have consistency. To the consistency, the equivalent parameters, α', β', R'a, R'b are introduced in this paper, and the arbitrary system, E-IVT(Electric Infinitely Variable Transmission) developed by Renault, is converted to the equivalent system with these parameters. Furthermore, the system efficiency can be represented by these parameters at hybrid mode, and the strategies of controlling the compound split can be improved by the analysis of the compound splits in this paper.
김남욱(Namwook Kim),이대흥(Dae Heung Lee),양시우(Siu Yang),박영일(Yoeng-il Park),차석원(Suk Won Cha) 한국자동차공학회 2008 한국자동차공학회 춘 추계 학술대회 논문집 Vol.- No.-
Hybrid system has two compatible power resources, an engine and a battery, and the strategies to control these two power resources cannot be simplified as an explicit algorithm because we'd like to sustain the state of charge of the battery within reasonable revel. Expect debating on how we can make optimal controllers, we might be able to draw the optimal trajectory with optimization methods if we already knew about the schedule of the driving cycle. These paper studies the optimization method of the fuel consumption for hybrid electrical vehicles with the method of Dynamic Programming, which was introduced Richard Bellman. DP is an effective method to get optimal trajectories when the systems have complicated and nonlinear behavior, and where there are several intricate constraints for control variables. We also discussed about the analytical approach for these optimal problems with a method of calculus of variation, which gives us the intuition about the optimal control of the hybrid system.
김남욱(Namwook Kim),양호림(Horim Yang),조성태(Suntae Cho),박영일(Yoeng-il Park),차석원(Suk won Cha) 한국자동차공학회 2006 한국자동차공학회 춘 추계 학술대회 논문집 Vol.- No.-
Control1ing of HEV(Hybrid Electric Vehicle) is not easy going work because the vehicle has two or more degrees of freedom. To control a dual mode hybrid system, two-mode HEV which is composed of compound planetary gear systems, comprehension of the systems is most important. The compound planetary gear systems can be extended to other hybrid systems such as THS(Toyota Hybrid System), a mild hybrid system and so on, so the strategy of controlling the compound planetary gear systems is adapted to other hybrid systems. This paper studies the method of establishing dynamic equation of the compound planetary gear system and the strategy of controlling the system. An optimization of the system is also an important problem which is solved at supervisory controller, and the optimized results are introduced in this paper, but the method of the optimization is not issued in this paper. This paper doesn't deal a supervisory control but a component control. By the efficient component control strategy, the system operates on near the optimum points.
Pontryagin’s Minimum Principle (PMP)를 이용한 하이브리드 전기차의 주행 제어 최적화
김남욱(Namwook Kim),임원식(Wonsik Lim),오창은(Chang Eun Oh),변상민(Sangmin Byun),차석원(Suk Won Cha) 한국자동차공학회 2009 한국자동차공학회 부문종합 학술대회 Vol.2009 No.4
Several optimal control ideas for Hybrid Electric Vehicles (HEVs) were proposed in the literature. The representative optimal concept based on the bellman’s optimality, Dynamic Programming, guarantees a global optimal solution which could be obtained from an optimal field. In this paper, we suggest the Pontryagin’s minimum principle as an optimal control concept, in which the principle produces necessary conditions that the optimal control trajectory must satisfy. From a static model, the optimal results solved from PMP show that the results are really close to the results solved from DP, which should be supposed to be a global optimal solution. The differences between the results solved from PMP and the results solved from DP are only under 1 %. By the optimal control concept, PMP, we could build a real-time optimal controller because the technique is fundamentally based on an instantaneous optimal concept, which means that the control idea based on PMP is very useful if we have an intelligent model to approximate the costate in real-time driving.