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Fig. 4. Schematic diagram of fuzzy adaptive PID control algorithm

3. Theoretical analysis and simulated analysis

Fig. 5(a) shows the two-phase flow model in heat pipe microchannel, and the heat pipe heat transfer model can be established according to two-phase flow model. Fig. 5(b) shows energy path diagram of temperature control device, which provide the basic model of temperature control system. Thus, temperature control can be realized based on these two model and intelligent control algorithms.

Tcin

Mcin

Tein

Mein

a

 

non-condenser

Tcout

Qc

 

 

Qc

PCM

vapor

Qs

Qs

Qe

 

 

Q

Q

Teout

 

fluid

 

 

b

 

Fig. 5. Two-phase flow model in heat pipe micro-channel (a); Energy path diagram of temperature control device (b)

221

When two-phase working fluid is at steady state:

/

 

,

 

( A g -g ) .g

 

 

0

 

,z

(1)

1

 

0

 

,

( A f

- f ) . f

0

 

 

2,z

 

At condensation section, .k 0 . Variation of steam mass is equal to total condensation mass of molecular per second, i.e. .g =.f

/

 

 

 

 

 

 

 

 

Pv

 

 

 

3

 

 

dmv

 

 

 

 

 

Rv2 Pv

 

 

 

 

 

 

0.g Nv,l Rv2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

m-av

 

 

2

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

 

 

 

dx

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2 RgTl

 

 

 

 

 

 

0

 

 

 

 

3kTl

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0-

ac

 

 

3R T

 

 

 

 

 

 

 

 

 

 

 

 

3

 

 

 

 

 

 

 

 

(2)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

 

m

 

g

l

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

 

 

 

 

 

d 2 ln4g

 

 

 

R2 P

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

. f mv A D

dln4g

 

A D

 

 

 

 

 

 

 

 

 

 

 

v v

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

dx

2

 

 

 

 

 

 

2 RgTl

 

 

 

dx

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Momentum conservation equation of gas phase is listed as

follows:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A

 

,pg

'

 

P

A

 

 

gsin% -

 

.

 

 

 

 

,

(m

 

-

 

)

(3)

 

 

 

 

 

 

 

 

 

 

 

 

g ,z

 

gf gf

 

g

 

g

 

 

 

 

 

g

 

 

g

 

 

 

,z

g

 

g

 

 

 

Momentum conservation equation of liquid phase is listed as

follows:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A

 

,pg

'

 

P

A

 

 

gsin% -

 

.

 

 

 

 

,

(m

 

-

 

)

(4)

 

 

 

 

 

 

 

 

 

 

 

 

g ,z

 

gf gf

 

g

 

g

 

 

 

 

 

g

 

 

g

 

 

 

,z

g

 

g

 

 

 

When

boiling and condensation

correction

coefficient

of heat

transfer are used in energy conservation equation:

hb [(0.485 10 4 )(T s_evap T int_fluid) 0.07675 (

Cpl l

)0.6857 T 3.291

]0.9287

(5)

 

 

 

sat

 

 

 

kl

 

 

hc 0.01074Re 2.667T 4.30

 

(6)

sat

 

 

The Reynolds number used in equation (5) can be described as follows:

222

Re 2.5872

4

2kl(T int_fluid T s_cond)d

 

4( l v)g

5

 

hfg

 

3

3 l( / l)2

1/3

6 (7)

The Expression of evaporation and condensation heat resistance:

 

1

 

 

ln(do / di )

 

 

1

 

 

Revap

 

 

 

 

 

 

 

 

 

 

(8)

h A

 

2 kl

h A

 

 

 

e

e

 

 

 

 

 

 

 

b b

 

 

Rcond

 

 

1

 

 

ln(do / di )

 

1

 

(9)

hc Ac

 

 

 

hc Ac

 

 

 

 

 

 

 

2 kl

 

 

 

 

 

When the temperature of working fluid in heat pipe is small than saturation temperature, that is to say, Tf 7 257 °C:

MCp

dTg

MeCp(Tin Tout) Q

(10)

 

 

dt

 

And Tg Tin Tout , Q Tg Tf mfCpf dTf

2

2R

dt

The moment when the temperature of working fluid in heat pipe is equal to 275 °C is defined as t1 :

 

MCp

dTg

 

MeCp(Tin Tout) Q

(11)

dt

 

 

 

 

 

 

 

 

And Tg

Tin Tout

, Q

Tg Tf

mvQlatent , Qlatent 296.4kJ / kg

2

 

 

 

 

 

 

 

2R

 

 

 

 

 

 

 

)t2(mo ms)dt

 

 

When Qs msQlatent ,

t1

 

 

 

Vs , the moment is defined as t2.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

It is noted that the intelligent control system start to work when

t 8 t2 , and Q Qc+Qs+

dmv

CpvTsat , Qc is adjusted by

intelligent

 

 

 

 

 

dt

 

 

 

 

 

algorithm.

223

As is shown in Fig. 6, it can be found that temperature control system is consisted of three parts: exhaust temperature and mass flow provided by engine model, temperature control model and fuzzy adaptive control unit. The temperature control results can be achieved according to the preliminary simulation models, as shown in Fig. 7, when considering the cold start effect of temperature control system, the working fluid need a certain time to reach the saturation condition, thus, the outlet temperature of temperature control system is relatively low at first stage, and the decrease rate of exhaust temperature will be slow along with the increasing temperature of working fluid. It can be found from Fig. 7 that the cold start process can be finished within 25 s. Fig. 8 shows temperature control results when not considering priming effect in heat pipe, the working fluid already reach the saturation state during operating process without considering the cold start, which is contributed to the satisfactory temperature control results. It can be explained as follows: firstly, the evaporation chamber in temperature control system can effectively realize the temperature neutralize so that can reduce the temperature fluctuation; secondly, the adjustment of temperature control system is helpful to the satisfactory results.

Fig. 6. Temperature control model based on Matlab/Simulink software

224

 

500

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

temperature after control

 

 

450

 

 

 

 

 

 

temperature before control

 

400

 

 

 

 

 

 

 

 

 

 

 

350

 

 

 

 

 

 

 

 

 

 

Temperature/

300

 

 

 

 

 

 

 

 

 

 

250

 

 

 

 

 

 

 

 

 

 

200

 

 

 

 

 

 

 

 

 

 

150

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

100

 

 

 

 

 

 

 

 

 

 

 

50

 

 

 

 

 

 

 

 

 

 

 

0

25

50

75

100

125

150

175

200

225

250

 

0

 

 

 

 

 

 

Time/s

 

 

 

 

 

Fig. 7. Temperature control results when considering cold starting effect in heat pipe

 

500

 

 

 

 

 

 

 

 

 

 

 

450

 

 

 

 

 

 

 

 

 

 

 

400

 

 

 

 

 

 

 

 

 

 

Temperature/

350

 

 

 

 

 

 

 

 

 

 

300

 

 

 

 

 

 

 

 

 

 

250

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

inlet temperature of control system

 

 

 

 

 

 

 

 

outlet temperature of control system

 

 

200

 

 

 

 

 

 

 

 

 

 

 

150

100

200

300

400

500

600

700

800

900

1000

 

0

 

 

 

 

 

 

Time/s

 

 

 

 

 

Fig. 8. Temperature control results when not considering priming effect in heat pipe

As for the control effect, it can be found that the temperature control error is within ±20 °C, meaning the exhaust temperature is near to steady state, it is contributed to simple control strategy of SCR system and small calibration workload. Fig. 9 shows NOx concentration distributions under three different conditions, the NOx

225

conversion efficiency can be larger than 95 % after using temperature control system, which conform to the Euro 6 emission standards.

NOx/ppm

1600

directly NOx emission

NOx emission after SCR without temperature control system

NOx emission after SCR with temperature control system

1400

1200

1000

800

600

400

200

0

0

100

200

300

400

500

600

700

800

900

Time/s

Fig. 9. NOx concentration distributions under three different conditions

4. Economic Analysis

According to market research, the price of our innovative temperature control device made to order is about 2000 Yuan and Nanjing saint carnot heat pipe company agree with our price. Average quantity of heat recycled from the controllable heat pump system is about 5 Kilo Watts. Considering the manufacturing cost and energy conservation and emission reduction of middle and heavy trucks, this price is acceptable, and the middle and heavy trucks have enough space for installing the temperature control device. Take King Long XMQ614OY8 bus (69 seats) for example, economic analysis shown in the following table, and the heat recycled from the controllable heat pump installed in the tail gas treatment system is used to heat drinking water and to drive air condition system.

According to the data from 2013 National Bureau of Statistics, the NOx emission amount of China in 2013 is 6406 kiloton, in which middle and heavy truck take account for 75.9 %, i.e. 4862 kiloton. If

226

our temperature control device can apply in middle and heavy truck, the NOx emission amount can reduce to 1519 kiloton, the calculation is listed in Table 5.

Table 3

Economic analysis of automobile exhaust using for heating drinking water

Using for heating drinking water (20–100 °C)

Electricity

Daily demand of

Daily power

Annual electric

consumption

drinking water (L)

demand (kWh)

charge (yuan)

(kWh/L)

 

 

 

0.093

55

55*0.093=5.13

5.13*0.42*356=786

Table 4

Economic analysis of automobile exhaust using for driving air condition system

Using for driving air condition system

Output

 

Annual

Annual

 

 

 

power of air

Daily

Transfer

Annual

Annual

operating

energy

condition

working

efficien-

gasoline

cost

system

time (h)

time

saving

cy

saving (L)

saving ( )

(day)

(kW)

(kW)

 

 

 

 

 

 

 

 

 

 

4

8

240

7680

40%

2125

425

Table 5

NOx emission calculation after using temperature control device

Item

China

Using temperature

Reduced NOx emission

 

standard

control device

 

NOx conversion

68 %

95 %

 

efficiency

3343 kiloton

 

 

NOx emission

4862

1519

 

amount/kiloton

 

 

 

 

227

5. Innovations and applications

Innovations: (1) Temperature is used to measure the molecular motion intensity and control temperature is typical time delay system, heat pipe with high heat flux is used as control carrier in our device, which provides new idea for temperature control; (2) It is the first time that controllable heat pipe integrated with phase change material is used in after-treatment system of automobile exhaust gas, which can realize NOx emission reduction and energy saving by effectively temperature control.

Applications: (1) In auto industry, middle and heavy diesel truck can use our innovative device to achieve high NOx conversion efficiency and energy saving; (2) In solar power station, this device can be used for peak load shifting and control steam temperature; (3) In thermal power generation, steel smelting and waste incineration process, our innovative device can reduce NOx emission and promote the green upgrade in industry.

References

1.A review on phase change energy storage: materials and applications / Mohammed M. Farida, Amar M. Khudhair, Siddique Ali K. Razack, Said AlHallaj // Energy Conversion and Management. – 2004. – Vol. 45. – P. 1597– 1615.

2.Feldman D., Shapiro M.M. Fatty acids and their mixtures as phasechange materials for thermal energy storage // Solar Energy Mater. – 1989. – Vol. 18. – P. 201–216.

3.Hasan A. Phase change material energy storage system employing palmitic acid // Solar Energy. – 1994. – Vol. 52. – P. 143–154.

4.Dimaano M., Escoto A. Preliminary assessment of a mixture of capric and lauric acid for low temperature thermal energy storage // Energy. – 1998. – Vol. 23. – P. 421–427.

5.Farid MM, Hamad FA, Abu-Arabi M. Phase change cool storage using dimethyl-sulfoxide // Energy Convers Mgmt. – 1998. – Vol. 39. – Vol. 819– 826.

6.Zuca S., Pavel P.M., Constantinescu M. Study of one dimensional solidification with free convection in infinite plate geometry // Energy Convers Mgmt. – 1999. – Vol. 40. – P. 261–271.

228

7.Leonard L. Vasiliev Review Heat pipes in modern heat exchangers // Applied Thermal Engineering. – 2005. – Vol. 25. – P. 1–19.

8.Pressure Controlled Heat Pipe Applications / William G. Anderson, John R. Hartenstine, David B. Sarraf, Calin Tarau, Kara L. Walker // 16th International Heat Pipe Conference (16th IHPC), Lyon, France, May 20–24, 2012.

9.Stoval T.K., Tomlinson J.J. What are the potential benefits of including latent storage in common wallboard? // Trans ASME. – 1995. – Vol. 117. – P. 318–325.

10.Tian Y., Zhao C.Y. A review of solar collectors and thermal energy storage in solar thermal applications // Applied Energy. – 2013. – Vol. 104. – P. 538–553.

11.ZHANG Fei, JIAN Qi-fei Waste Heat Utilization Technologies and Applications of Automobile Exhaust, 1674-3997-(2010)01-0043-03.

12.Malatidis N. Warmespeicher, insbesondere Latentwarmespeicher fur Kraftfahrzeuge: patent DE39 90 275 C 1 (1988).

229

THE CONTROL OF VERTICAL AXIS WIND TURBINE

ROTOR SPEED

E. Solomin, E. Sirotkin, S. Tchetoshnikov

South-Urals State University

The paper describes the braking device for vertical axis wind turbine. Using these devices in turbines allows preventing the destruction of the wind rotor or precluding the burning of alternator at high wind speeds (20…30 m/s). As a result of rotor rotation frequency increase up to determined limit value, the centrifugal force stretches the spring, and the cams located on the springs, contact the mast. Due to the contact of cams and mast walls the friction value controls the rotor speed. The formulas required for the development of the device, are also presented in paper. The advantages of the presented friction brake are the high reliability, simple design, low cost and durability.

Keywords: renewable energy sources, wind energy, braking systems for wind turbines.

Introduction. Lately, more and more attention paid to the problem of limited resources and environmental conditions on the ground [1]. Oil, gas and coal – all the basic raw material for the production of electricity, but each year the stock decreases. In recent decades, scientists have begun to develop such a direction as “renewable energy”, which in the future may become the basis for the production of electricity [2]. Fukushima Prefecture affected by the earthquake and tsunami in 2011, plans to switch completely to energy from renewable sources by 2040 [3] One of the main sectors of renewable energy, wind energy is based on the

Fig. 1. Vertical Axis Wind

principle of converting the kinetic

Turbine

energy of the wind into electricity [4].

For this conversion, use so-called wind turbines. There are two types of installations: horizontal-axis and vertical-axis [5]. Most widespread in the world have the installation of horizontal axis type, but in recent years become more and more popular install vertical-axis type due to a number of advantages [6–9]. Fig. 1 shows the structure of a wind power plant with a vertical axis of rotation [8].

230