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Research Papers: Gas Turbines: Industrial & Cogeneration

Robust Optimal Operation of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands

[+] Author and Article Information
Ryohei Yokoyama

Department of Mechanical Engineering,
Osaka Prefecture University,
1-1 Gakuen-cho, Naka-ku,
Sakai, Osaka 599-8531, Japan
e-mail: yokoyama@me.osakafu-u.ac.jp

Masashi Ohkura

Department of Mechanical Engineering,
Osaka Prefecture University,
1-1 Gakuen-cho, Naka-ku,
Sakai, Osaka 599-8531, Japan
e-mail: ohkura@me.osakafu-u.ac.jp

Tetsuya Wakui

Department of Mechanical Engineering,
Osaka Prefecture University,
1-1 Gakuen-cho, Naka-ku,
Sakai, Osaka 599-8531, Japan
e-mail: wakui@me.osakafu-u.ac.jp

Contributed by the Industrial and Cogeneration Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 12, 2014; final manuscript received July 13, 2014; published online September 4, 2014. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(2), 022001 (Sep 04, 2014) (11 pages) Paper No: GTP-14-1380; doi: 10.1115/1.4028211 History: Received July 12, 2014; Revised July 13, 2014

Some optimal operation methods based on the mixed-integer linear programming (MILP) have been proposed to operate energy supply plants properly from the viewpoints of economics, energy saving, and CO2 emission reduction. However, most of the methods are effective only under certain energy demands. In operating an energy supply plant actually, it is necessary to determine the operational strategy properly based on predicted energy demands. In this case, realized energy demands may differ from the predicted ones. Therefore, it is necessary to determine the operational strategy so that it is robust against the uncertainty in energy demands. In this paper, an optimization method based on the MILP is proposed to conduct the robust optimal operation of energy supply plants under uncertain energy demands. The uncertainty in energy demands is expressed by their intervals. The operational strategy is determined to minimize the maximum regret in the operational cost under the uncertainty. In addition, a hierarchical relationship among operation modes and on/off states of equipment, energy demands, and energy flow rates of equipment is taken into account. First, a general formulation of a robust optimal operation problem is presented, which is followed by a general solution procedure. Then, in a numerical study, the proposed method is applied to a gas turbine cogeneration plant for district energy supply. Through the study, some features of the robust optimal operation are clarified, and the validity and effectiveness of the proposed method are ascertained.

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Figures

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Fig. 2

Hierarchical relationship among binary operation variables, energy demands, and continuous operation variables

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Fig. 1

Basic concept of robust optimal operation based on minimax regret criterion

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Fig. 3

Configuration of gas turbine cogeneration plant for district energy supply

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Fig. 11

Allocations of energy supplies by optimal operation (α = 0.1, smallest energy demands): (a) electricity supply, (b) steam supply, and (c) cold water supply

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Fig. 4

Average energy demands

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Fig. 7

On/off states of main equipment by robust optimal operation: (a) α = 0.05, (b) α = 0.1, and (c) α = 0.15

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Fig. 8

Energy demands which give maximum regret in daily operational cost (α = 0.1): (a) largest energy demands and (b) smallest energy demands

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Fig. 9

Allocations of energy supplies by robust optimal operation (α = 0.1, smallest energy demands): (a) electricity supply, (b) steam supply, and (c) cold water supply

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Fig. 10

On/off states of main equipment by optimal operation (α = 0.1)

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Fig. 5

Convergence characteristics of solution method

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Relationship between uncertainty in energy demands and maximum regret in daily operational cost: (a) robust optimal operation and nonoptimal operation A and (b) robust optimal operation and nonoptimal operation B

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