• Title/Summary/Keyword: MILP

Search Result 78, Processing Time 0.024 seconds

Optimization of Multi-reservoir Operation with a Hedging Rule: Case Study of the Han River Basin (Hedging Rule을 이용한 댐 연계 운영 최적화: 한강수계 사례연구)

  • Ryu, Gwan-Hyeong;Chung, Gun-Hui;Lee, Jung-Ho;Kim, Joong-Hoon
    • Journal of Korea Water Resources Association
    • /
    • v.42 no.8
    • /
    • pp.643-657
    • /
    • 2009
  • The major reason to construct large dams is to store surplus water during rainy seasons and utilize it for water supply in dry seasons. Reservoir storage has to meet a pre-defined target to satisfy water demands and cope with a dry season when the availability of water resources are limited temporally as well as spatially. In this study, a Hedging rule that reduces total reservoir outflow as drought starts is applied to alleviate severe water shortages. Five stages for reducing outflow based on the current reservoir storage are proposed as the Hedging rule. The objective function is to minimize the total discrepancies between the target and actual reservoir storage, water supply and demand, and required minimum river discharge and actual river flow. Mixed Integer Linear Programming (MILP) is used to develop a multi-reservoir operation system with the Hedging rule. The developed system is applied for the Han River basin that includes four multi-purpose dams and one water supplying reservoir. One of the fours dams is primarily for power generation. Ten-day-based runoff from subbasins and water demand in 2003 and water supply plan to water users from the reservoirs are used from "Long Term Comprehensive Plan for Water Resources in Korea" and "Practical Handbook of Dam Operation in Korea", respectively. The model was optimized by GAMS/CPLEX which is LP/MIP solver using a branch-and-cut algorithm. As results, 99.99% of municipal demand, 99.91% of agricultural demand and 100.00% of minimum river discharge were satisfied and, at the same time, dam storage compared to the storage efficiency increased 10.04% which is a real operation data in 2003.

Operation Scheduling in a Commercial Building with Chiller System and Energy Storage System for a Demand Response Market (냉각 시스템 및 에너지 저장 시스템을 갖춘 상업용 빌딩의 수요자원 거래시장 대응을 위한 운영 스케줄링)

  • Son, Joon-Ho;Rho, Dae-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.19 no.8
    • /
    • pp.312-321
    • /
    • 2018
  • The Korean DR market proposes suppression of peak demand under reliability crisis caused a natural disaster or unexpected power plant accidents as well as saving power plant construction costs and expanding amount of reserve as utility's perspective. End-user is notified a DR event signal DR execution before one hour, and executes DR based on requested amount of load reduction. This paper proposes a DR energy management algorithm that can be scheduled the optimal operations of chiller system and ESS in the next day considering the TOU tariff and DR scheme. In this DR algorithm is divided into two scheduling's; day-ahead operation scheduling with temperature forecasting error and operation rescheduling on DR operation. In day-ahead operation scheduling, the operations of DR resources are scheduled based on the finite number of ambient temperature scenarios, which have been generated based on the historical ambient temperature data. As well as, the uncertainties in DR event including requested amount of load reduction and specified DR duration are also considered as scenarios. Also, operation rescheduling on DR operation day is proposed to ensure thermal comfort and the benefit of a COB owner. The proposed method minimizes the expected energy cost by a mixed integer linear programming (MILP).

Study of Multi Floor Plant Layout Optimization Based on Particle Swarm Optimization (PSO 최적화 기법을 이용한 다층 구조의 플랜트 배치에 관한 연구)

  • Park, Pyung Jae;Lee, Chang Jun
    • Korean Chemical Engineering Research
    • /
    • v.52 no.4
    • /
    • pp.475-480
    • /
    • 2014
  • In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines for connecting equipment. However, what is the lacking of considerations in previous researches is to handle the multi floor processes considering the safety distances for domino impacts on a complex plant. The mathematical programming formulation can be transformed into MILP (Mixed Integer Linear Programming) problems as considering safety distances, maintenance spaces, and economic benefits for solving the multi-floor plant layout problem. The objective function of this problem is to minimize piping costs connecting facilities in the process. However, it is really hard to solve this problem due to complex unequality or equality constraints such as sufficient spaces for the maintenance and passages, meaning that there are many conditional statements in the objective function. Thus, it is impossible to solve this problem with conventional optimization solvers using the derivatives of objective function. In this study, the PSO (Particle Swarm Optimization) technique, which is one of the representative sampling approaches, is employed to find the optimal solution considering various constraints. The EO (Ethylene Oxide) plant is illustrated to verify the efficacy of the proposed method.

An Analysis of Optimal Operation Strategy of ESS to Minimize Electricity Charge Using Octave (Octave를 이용한 전기 요금 최소화를 위한 ESS 운전 전략 최적화 방법에 대한 분석)

  • Gong, Eun Kyoung;Sohn, Jin-Man
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.19 no.4
    • /
    • pp.85-92
    • /
    • 2018
  • Reductions of the electricity charge are achieved by demand management of the load. The demand management method of the load using ESS involves peak shifting, which shifts from a high demand time to low demand time. By shifting the load, the peak load can be lowered and the energy charge can be saved. Electricity charges consist of the energy charge and the basic charge per contracted capacity. The energy charge and peak load are minimized by Linear Programming (LP) and Quadratic Programming (QP), respectively. On the other hand, each optimization method has its advantages and disadvantages. First, the LP cannot separate the efficiency of the ESS. To solve these problems, the charge and discharge efficiency of the ESS was separated by Mixed Integer Linear Programming (MILP). Nevertheless, both methods have the disadvantages that they must assume the reduction ratio of peak load. Therefore, QP was used to solve this problem. The next step was to optimize the formula combination of QP and LP to minimize the electricity charge. On the other hand, these two methods have disadvantages in that the charge and discharge efficiency of the ESS cannot be separated. This paper proposes an optimization method according to the situation by analyzing quantitatively the advantages and disadvantages of each optimization method.

Development of Optimization Model for Traffic Signal Timing in Grid Networks (네트워크형 가로망의 교통신호제어 최적화 모형개발)

  • 김영찬;유충식
    • Journal of Korean Society of Transportation
    • /
    • v.18 no.1
    • /
    • pp.87-97
    • /
    • 2000
  • Signal optimization model is divided bandwidth-maximizing model and delay-minimizing model. Bandwidth-maximizing model express model formulation as MILP(Mixed Integer Linear Programming) and delay-minimizing model like TRANSYT-7F use "hill climbing" a1gorithm to optimize signal times. This study Proposed optimization model using genetic algorithm one of evolution algorithm breaking from existing optimization model This Proposed model were tested by several scenarios and evaluated through NETSIM with TRANSYT-7F\`s outputs. The result showed capability that can obtain superior solution.

  • PDF

Scheduling model for processes with both batch and continuous operations

  • Jeonghwa Hwang;Kang, Min-gu;Sungdeuk Moon;Lee, Jong-gu;Lee, Ho-kyung;Park, Sunwon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.56.6-56
    • /
    • 2002
  • 1. Introduction 2. Process description 2.1 Process description 2.2 Assumption 3. Mathematical model 3.1 MILP model for cintinuous part 3.2 LP model for batch part 4. Exapmles and Results 5. Conclusion. Acknowledgement. Reference.

  • PDF

Retiming for SoC Using Single-Phase Clocked Latches (싱글 페이즈 클락드 래치를 이용한 SoC 리타이밍)

  • Kim Moon-Su;Rim Chong-Suck
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.43 no.9 s.351
    • /
    • pp.1-9
    • /
    • 2006
  • In the System-on-Chip(SoC) design, the global wires are critical parts for the performance. Therefore, the global wires need to be pipelined using flip-flops or latches. Since the timing constraint of the latch is more flexible than it of the flip-flop, the latch-based design can provide a better solution for the clock period. Retiming is an optimizing technique which repositions memory elements in the circuits to reduce the clock period. Traditionally, retiming is used on gate-level netlist, but retiming for SoC is used on macro-level netlist. In this paper, we extend the previous work of retiming for SoC using flip-flops to retiming for SoC using single-phase clocked latches. In this paper we propose a MILP for retiming for SoC using single-phase clocked latches, and apply the fixpoint computation to solve it. Experimental results show that retiming for SoC using latches reduces the clock period of circuits by average 10 percent compared with retiming for SoC using flip-flops.

A Study on Economic Analysis Algorithm for Energy Storage System Considering Peak Reduction and a Special Tariff (피크저감과 특례요금제를 고려한 ESS 경제성 분석 알고리즘에 관한 연구)

  • Son, Joon-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.67 no.10
    • /
    • pp.1278-1285
    • /
    • 2018
  • For saving electricity bill, energy storage system(ESS) is being installed in factories, public building and commercial building with a Time-of-Use(TOU) tariff which consists of demand charge(KRW/kW) and energy charge(KRW/kWh). However, both of peak reduction and ESS special tariff are not considered in an analysis of initial cost payback period(ICPP) on ESS. Since it is difficult to reflect base rate by an amount of uncertain peak demand reduction during mid-peak and on-peak periods in the future days. Therefore, the ICPP on ESS can be increased. Based on this background, this paper presents the advanced analysis method for the ICPP on ESS. In the proposed algorithm, the representative days of monthly electricity consumption pattern for the amount of peak reduction can be found by the k­means clustering algorithm. Moreover, the total expected energy costs of representative days are minimized by optimal daily ESS operation considering both peak reduction and the special tariff through a mixed-integer linear programming(MILP). And then, the amount of peak reduction becomes a value that the sum of the expected energy costs for 12 months is maximum. The annual benefit cost is decided by the amount of annual peak reduction. Two simulation cases are considered in this study, which one only considers the special tariff and another considers both of the special tariff and amount of peak reduction. The ICPP in the proposed method is shortened by 18 months compared to the conventional method.

Optimization of Energy Distribution in District Heating Systems (지역 냉난방 시스템의 에너지 분배 최적화)

  • Park, Tae Chang;Kim, Ui Sik;Kim, Lae-Hyun;Kim, Weon Ho;Kim, Seong Jin;Yeo, Yeong Koo
    • Korean Chemical Engineering Research
    • /
    • v.47 no.1
    • /
    • pp.119-126
    • /
    • 2009
  • A district energy system plays very important role to fulfill energy demand in regional areas. This paper diagnoses the necessity of the development of an economical operation system for the efficient operation of district energy plants located in Seoul. The effect anticipated from the use of the optimal operation system is also analyzed. Production and consumption of energy are estimated for the district energy plants at Suseo, Bundang, Ilwon and Jungang located near in Seoul, Korea. The problem is formulated as a mixed integer linear programming(MILP) problem where the objective is to minimize the overall cost of the district energy system. From the results of numerical simulations we can see that the energy efficiency is improved due to the application of the optimal operation conditions provided by the proposed model.

A Mixed-Integer Programming Model for Effective Distribution of Relief Supplies in Disaster (재난 구호품의 효과적 분배를 위한 혼합정수계획 모형)

  • Kim, Heungseob
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.44 no.1
    • /
    • pp.26-36
    • /
    • 2021
  • The topic of this study is the field of humanitarian logistics for disaster response. Many existing studies have revealed that compliance with the golden time in response to a disaster determines the success or failure of relief activities, and logistics costs account for 80% of the disaster response cost. Besides, the agility, responsiveness, and effectiveness of the humanitarian logistics system are emphasized in consideration of the disaster situation's characteristics, such as the urgency of life-saving and rapid environmental changes. In other words, they emphasize the importance of logistics activities in disaster response, which includes the effective and efficient distribution of relief supplies. This study proposes a mathematical model for establishing a transport plan to distribute relief supplies in a disaster situation. To determine vehicles' route and the amount of relief for cities suffering a disaster, it mainly considers the urgency, effectiveness (restoration rate), and uncertainty in the logistics system. The model is initially developed as a mixed-integer nonlinear programming (MINLP) model containing some nonlinear functions and transform into a Mixed-integer linear programming (MILP) model using a logarithmic transformation and piecewise linear approximation method. Furthermore, a minimax problem is suggested to search for breakpoints and slopes to define a piecewise linear function that minimizes the linear approximation error. A numerical experiment is performed to verify the MILP model, and linear approximation error is also analyzed in the experiment.