A Designof Stand-alone Hybrid Wind/PV Desalination Systemin Lingshan Island China

DOI : 10.17577/IJERTV4IS020242

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A Designof Stand-alone Hybrid Wind/PV Desalination Systemin Lingshan Island China

Ailun Zhang Department of Electrical Engineering University of Massachusetts Lowell

Lowell, MA, USA

Ziyad Salameh

Professor, Lifetime Seiner member, IEEE Department of Electrical Engineering University of Massachusetts Lowell Lowell, MA, USA

Abstract–In this paper, an integral design is proposed for constructing a hybrid wind/PV power system to supply electricity to a sea water desalination system. Considering the practical weather condition at Linshang Island, the better working condition for batteries and the economy, the circuit diagram is drawn and an optimal sizing scheme is designed. Some results were calculated by using the parameters given by the manufacturers.At last, the power system is simulated and the investment budget is estimated.

Keywordswind; PV; desalination system; load & output forecast, optimal sizing, investment budget.


    With the global environmental pollution and the primary energy resource shortage, clean and renewable energy has been considered to generate electricity. Meanwhile, fresh water, as another extraordinary shortage resource in the world, is taken as humans treasure. Although over 72% of the earth is covered by water, however, only 0.007% of water can be used directly by our human.

    However, people have notice this issue and start to try some ways to produce fresh water. From the west coast of America to the islands of Japan, from Middle East to Mediterranean, lots of water desalination plants are built. These water desalination plants did generate a huge amount of fresh water, but it also consumed a large quantity of energy.China is one of the most water-scarce countries. In this paper, a method that processing water desalination which supplied by renewable energy is introduced on Lingshang Island, China. Lingshan Island is located in the southeast sea area of Qingdao, China. The island is 20 nautical miles far from the main land, the total area is 7.28 km2 and the elevation is 513m. There are 13 villages and the population is 3454 people on the island. In the past, there were 39 wells and one small reservoir on the island. The normal drinking water supplement is feasible only in high flow years, once it gets into drought years, the drinking water cannot be supplied regularly. Since the continuous drought years in 70s, the whole water storage project and wells were exhausted. After 1981, the water supplements of Lingshan Island can only depend on shipping fresh water from main land by the army. However, when the storms or foggy days

    come, shipping fresh water by ship is infeasible.Fig 1 shows the full view of LingshanIsland .

    Fig 1. Full View of Lingshan Island

    Lingshan Island gets electricity via submarine cables from the main land, and the capacity is only match the residential load of the island. Assuming to use sea water desalination system on the island to produce fresh water is decided, then, there are two feasible ways to deliver electricity to the desalination system. First, build another new submarine cable between the island and the main land. Second, build a stand-alone power system on the island and directly supply electricity to the desalination system.For building a new submarine cable, compare with the stand-alone system, it is cheap. However, it is difficult and expensive to maintain and sustainable development. For building a stand-alone power system, it is expensive than to build a submarine cable. But, the stand-alone power system is sustainable and easy to maintain. Under the local weather condition, Lingshan Island is full of solar energy and wind energy. So, a hybrid wind/PV power system is selected to generate electricity and deliver electricity to the sea water desalination system. It is not only the cheap way to generate electricity, but also the way to generate electricity without any pollution.


    Fig2 shows the integrate system for Lingshan Island. The hybrid wind/PV power system will be used for energy collection and electricity generation, and reverse osmosis process is introduced for water desalination.In the power system, based on the local weather, a type of 10kW wind turbine and a kind of 300W PV panel are selected as the distributed generators.[1][2]In the desalination system, a machine which produces 20T of fresh water per hour is


    Fig2. Hybrid Wind/PV Desalination System for Lingshan Island


    1. Desalination System

      According to the per capita water consumption in Shandong Provence, China, the minimum volume is 0.14m3/d per person in Qingdao area. The population in Lingshan Island is about 3400, it indicates that the sea water desalination system should, at least, produce 476m3/d to satisfy the needs. For current market, manufacturers have already constructed the system as a machine which includes the high-pressure pump and controllers, etc.

      The selected machine can generate 20 tons fresh water per hour. Assuming the density of fresh water equals 1000 kg/m3, then the volume of produced fresh water per hour and total in one day are 20 m3 and 480 m3 respectively.

      Another load comes from the raw water supply pump which is using for pumping sea water from the ocean to the desalination system. The capacity of the row water supply pump can deliver 20 m3 of water per hour, which match the volume of water input from the sea water desalination machine.

      In conclusion, the total load of the desalination system is the sum of the power of the desalination system and the raw water supply pump. Since the desalination system is always running expect the time for maintaince, and the maintaince duration is comparatively short. So, the load curve will be basically a straight line. Meanwhile, soft start is used to the desalination machine to decrease the impact current.

    2. Power Output Forecast in PV System

      Lingshan Island is located in Shandong Provence, which belongs to the solar available area. According to the information, the solar data in Lingshan Island is list below in table 1.The peak sun hoursare calculated by month.



      Peak sun hours (h/d)



























      Based on the solar data above, the PV panel was selected.There are a lot of factors that effects on the output of the PV panel, such as the environmental temperature, solar irradiance, shade, crystalline structure and the impedance of the load.

      Equation 1 is introduced to calculate the average daily output.

      Q = 12345 (1) [4]

      Where: Q is the average daily output (kWh);

      is the maximum output (kW);

      is the peak sun hour in a particular day(h); 1is the series-parallel factor (0.9);

      2is the temperature loss factor (0.95); 3 is the dust covered oss (0.93);

      4 is the charge and discharge loss (0.9~0.97);

      5is the transmission anddistribution losses (0.98).

      After calculation by using equation 1, the output of one PV panel in every month can be gained.

    3. Power Output Forecast in Wind System

    Lingshan Island is 513m height above the sea, the wind energy is extraordinary abundant. According to the data collected by Qingdao Huawei Wind Power Plant, the average wind speed in every particular hour in every month is obtained. The Qingdao Huawei Wind Power Plant is located in Jiaodong Bay, Qingdao, where the elevation equals zero. It means Qingdao area is the base point of elevation in China.

    Equation 2 is introduced here to gain the velocity in a particular height.

    = ( ) (2) [5]

    0 0

    Where, is the velocity in a particular height;

    0is the measured velocity;

    is the particular height;

    0is the reference height;

    equals 0.1 if it for a calm sea.

    Thus, the wind speed on Lingshan Island can be calculated by equation 2. Since the height of turbine tower is 12m, and the elevation of Liangshan Island is 513m, so the total height is 525m.


    Where, is the wind speed in time step and is the number of nonzero wind speed data points. Equation4need to be solved by using an iterative procedure ( k=2 is a suitable initial guess), and then, equation5 can be solved explicitly. Equation4is only apply to the nonzero wind speed data points.[6]

    By using equation 4 and equation 5, the shape factor and the scale factor can be calculated respectively in each month.

    The output for a turbine in a certain wind speed can be expressed by equation 6.

    0 < >


    Average Wind Speed at 525m


    8.1 m/s


    6.5 m/s


    8.7 m/s


    8.5 m/s


    7.6 m/s


    7.5 m/s


    7.0 m/s


    5.6 m/s


    5.2 m/s


    6.2 m/s


    7.3 m/s


    8.5 m/s




    (6) [7]

    Table 2 shows the average wind speed in each months at 525m height.

    The influence factor of the output for a wind turbine is mainly the average wind speed. Different wind turbines have the different output curves. Based on the average wind speed in 12 months, a turbine can be selected for the power generation system. Since the most influential factor for the power output of a wind turbine is the wind speed, and the wind speed is a random process; therefore, it should be stated in a statistical method. In recent years, Weibull distribution is used in describing the random number of the wind speed. The probability density function is given by equation 3.

    f = () 1 ( ) (3) [5]

    Where: is the scale factor;

    is the shape factor;

    is the wind speed.

    Considering the local wind speed in each hour, the shape factor k and the scale factor c can be calculated with a maximum likelihood method. [9] The equations are given below.

    Where: is the output in the certain wind speed;

    _ is the rated output;

    is a certain speed;

    is the cut-in speed;

    is the cut out speed;

    is the rated speed.

    In order to gain the average power output in a certain period, equation 7 is introduced here.


    , = ( ) (7) [6]

    Where: ( ) is the probability density function given by equation 3.

    By using the equation 7, the power output for one wind turbine in each month can be calculated.


    Optimal sizing is using for minimizing the cost of the system. In general case, no matter the load or the power output from the distributed generator, they are not always constant. With the shift of the season and the temperature, the PV panels and wind turbines generate different quantity of power. By optimal sizing with the number of PV panels, wind turbines and batteries, the power output will be relatively complemented by each other. Thus, under the condition of system stable, the system cost reduces to the lowest.[8]

    The battery bank is a backup power source to the power system. It usually discharges when the distributed generators cannot provide enough power to the load, such as the days without wind or sunlight or neither. It charges when the power output from the distributed generators exceed the load.

    ln ( )

    ln ( )

    k = ( =1




    )1 (4)


    Then, the rest part of energy was charged into the battery bank.

    The longest day without neither wind nor sunlight on Lingshan Island is only 1 day; and the longest days without

    c = ( =1

    ) (5)

    wind and the longest days without sunlight are 1 and 3 respectively.

    Equation 8 is given to calculate the capacity of the battery bank when the wind and sunlight are not available.

    1 24

    Where: 1 is the power output from one PV panel in one


    • 24 (8) [4]


      1is the power output from one wind turbine in one day.


    Where: is the voltage of the load;

    is the depth of discharge, set to 80%;

    is the efficiency of invertor, set to 97%;

    is the total capacity of the battery bank;

    is the peak power of the load;

    is the longest days without wind and sunlight.

    Since the load is only the desalination machine and a pump, so peak power equals to the sum of the desalination machine and the pump. By using equation 8, the capacity of the battery bank can be calculated.Based on the result of the total capacity, the model of batteries can be selected.

    Then, the number of batteries both in parallel and in series can be gained by using equation 9 and equation 10.[4]

    Using MATLAB to construct a model and then, simulate the process of power generation. The wind speed, peak sun hours and load are using the data obtained, functions are using equation 1 and equations 3~7 for photovoltaic array and wind turbines respectively.

    The result reflects the relation between the total power of the load and the power generation for each month in one year, in kWh. Show in Fig 3.





    is the number of batteries in parallel;


    Fig3. Load and Power Output Curve

    The result shows the power output is more than the load in the whole year.

    Use the same model to simulate the relation between

    is the number of batteries in series;

    is the total capacity of the battery bank;

    is the capacity of one battery;

    is the voltage of the load;

    is the voltage of one battery.

    When the days without wind or days without sunlight come, equation 11 and equation 12 give the relations between the numbers of PV panels, wind turbines and batteries.

    + 3 24 (11)

    + 24 (12) Where: is the number of batteries;

    is the number of PV panels;

    is the number of wind turbines;

    is the power output from one PV panel in one month;

    is th power output from one wind turbine in one month;

    is the peak power of load.

    Use MATLAB to calculate the minimum cost of the whole system and the numbers of every distributed generator.

    min = 200 + 9416 + 255

    s. t

    1 3 24

    power output and load in one typical day. Fig 4 shows the relation between power output and load in a typical day in September.

    Fig4. Load and Power Output Curve in a Typical Day in September


    1. The Investment Budget Estimation for the Hybrid Wind/PV Power System

      The investment budget estimation of the hybrid wind/PV power system is the sum of the devices prices. Table 3 shows all the prices for each device.



      Unite Price


      Total Price

      PV Panels




      Wind Turbines












      Wind Power Controller




      Solar Power







      By calculating the prices in Table 3, the total investment budget of the wind/PV hybrid power system equals


    2. The Investment Budget Estimation for the Desalination System

      The investment budget estimation of the sea water desalination system mainly include the price of desalination machine, the price of the raw water supply pump and the price of steel pipes. Table 4 shows the details.




      Unite Price









      Raw Water

      Supply Pump




      Steel Pipes




      Fresh Water







      By calculating the prices in Table 3 and 4, the total investment budget of the wind/PV hybrid power system equals $615,499.

    3. The Installation Cost Estimation

      The installation fee for the system usually equals to 4.5% of the total cost. Equation 13 gives the basic rules to calculate the installation cost.

      J = Y × 1 × 2 × 3 (13) Where, J is the total installation cost;

      Yis the basic cost;

      1is the professional adjustment

      coefficient, set to 1.2;

      2is the engineering complexity adjustment coefficient, set to 1.0;

      3is the additional adjustment coefficient, set to 1.1.

    4. Payback Time of the Integrate System

    The total coast of the whole system is the sum of the prices of desalination system, wind-solar hybrid power system and the installation cost, which equals to $615,499. Currently, the fresh water for the Lingshan Island can be only delivered by ship. The cost of a 500 tons cargo ship is listed below, in table 5.



    Unite Price

    Fuel Fee


    Depreciation Cost


    Cost of Labor


    Other Cost




    Lingshan Island is 20 nature miles far from the mainland. The cargo ships speed is 10 km/h, which equals to 5.4 nature miles per hour. So, one round trip for the ship at least needs 8 hours. Thus the total cost for one round trip is $1296. Since the cargo ship can carry 500 tons, so there will be only one round trip per day. By calculation, after 503 days, the total cost of sea transportation is $651,888. In another word, after almost 16 month, the whole system becomes free.


In this paper, a basic design for a sea water desalination system and a matched wind-solar hybrid power system was introduced. The accomplished tasks mainly include:

    • Introduction of a hybrid wind/solar desalination system and Lingshan Island.

    • Equipment selection.

    • Load and power output forecast.

    • Optimal sizing.

    • System simulation

    • Investment budget estimation.

      In the load and power output forecast part and the optimal sizing part, a large quantity of data was calculated for the theoretical design. For actual project design, some of the factors need to be modified.

      Meanwhile, there were still some drawbacks in this paper and need to be solved:

    • All of the weather data were collected from different sources; it would cause some error in the calculation.

    • All of the equipment information was collected from www.alibaba.com, the prices may not be the latest.

In the optimal sizing part, the power output, in most months in the year, is exceeding the load capacity and that part of energy should be consumed reasonably.

As a recommendation, the local government could consider to build a saltworks. Since the desalination system is not only produce fresh water, but also remains a large quantity of high salinity water; and this part of high salinity water would let out back to the ocean. A saltworks would use this part of high salinity water to produce salt, and the rest part of the energy would also be consumed by the saltworks. So, by building a saltworks, the high salinity water would not

be wasted and the exceed power would also be used reasonably.


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