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Optimal Design of Energy Systems

Chapter 2

Min Soo KIM

Department of Mechanical and Aerospace Engineering

Seoul National University

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2.1 Workable and optimum systems

- There are many possible answers to a design problem - But, only one solution is the optimum Cost

Size Weight

nonworkable < workable < optimal

Chapter 2. Designing a workable system

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Chapter 2. Designing a workable system

2.2 A workable system

① Requirement of the purpose of the system

② Satisfactory life and maintenance costs

③ Within imposed constraints

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2.3 Steps in arriving at a workable system

① To select the concept

② To fix parameters

2.4 Creativity in concept selection

◎ Creativity

Chapter 2. Designing a workable system

- old ideas : should be reviewed - cost change : old times vs. today

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2.5 Workable vs. optimum system

Chapter 2. Designing a workable system

A

250 m B

3 kg/s 8 m

<Example>

<Solution>

① Δpgravity= (8 m)(1000 kg/m3)(9.8 m/s2) = 78.5 kPa

② Δpfriction = 100 kPa (arbitrarily chosen)

③ Δp = 178.5 kPa, mpump = 3 kg/s

④ Pipe diameter = 50 mm

<Question> Pipe diameter?

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Chapter 2. Designing a workable system

2.5 Workable vs. optimum system

Minimize the cost

Pump cost +

pumping cost (ex> electricity)

+ pipe cost

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Chapter 2. Designing a workable system

2.5 Workable vs. optimum system

Arbitrarily selected solution (workable system)

Improvement over the arbitrary selection (optimum system)

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2.6 Design of a food-freezing plant

- Major decisions : (1) location, (2) size, (3) type of freezing plant - Sequence

1. Location (adjacent to a refrigerated warehouse)

2. Freezing capacity

(amount of the crop, potential sales, etc.)

3. Concept of the plant (Fig 2-2)

Chapter 2. Designing a workable system

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2.6 Design of a food-freezing plant

4. Quantify (cooling load 220 kW, Table 2.1)

5. Individual components selection

Components : conveyor length & speed, air-cooling evaporator, two-stage compressor, condenser, water pump(cooling tower), etc.

Chapter 2. Designing a workable system

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2.7 Preliminaries to the study of optimization

(1) Economics (Chap 3)

(2) Mathematical modeling (Chap 4, 5, 13) (3) System simulation (Chap 6 & 14)

(4) Optimization (Chap 8 to 12)

Chapter 2. Designing a workable system

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