184 IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, VOL. 1, NO. 3, OCTOBER 2010 Comparison of Directly Connected and Constant Voltage Controlled Photovoltaic Pumping Systems Mohammed Ali Elgendy, Bashar Zahawi, Senior Member, IEEE, and David John Atkinson Abstract—This paper presents a comparative investigation of the performance characteristics of a directly connected photovoltaic (PV) pumping system and a scheme utilizing a constant voltage maximum power point tracking algorithm. A simple and accurate model is developed for each individual component of the system based on its measured characteristics and the system is simulated numerically. System performance is analyzed and energy utilization efficiency is calculated for different weather conditions. A detailed comparison identifying the advantages and drawbacks of each technique is presented. Experimental results obtained using a 1080-Wp PV array connected to a 1-kW permanent magnet dc motor-centrifugal pump set show very good agreement with the numerical simulation of the systems. Index Terms—DC–DC power conversion, photovoltaic (PV) power systems, photovoltaic (PV) pumping. I. INTRODUCTION O NE of the most important applications of photovoltaic (PV) standalone systems is for water pumping, particularly in rural areas that have a considerable amount of solar radiation and have no access to national grids. PV pumping systems usually utilize low power pumps ranging from 200–2000 W. They are widely used in domestic and livestock water supplies and small-scale irrigation systems, especially those employed for water and energy conservation such as low head drip irrigation systems. Over 50 000 PV pumping systems made up of different configurations had been installed worldwide by 2007 with an increasing potential for the use of PV pumping systems in large-scale irrigation schemes [1]. Several types of pumps and motors are available on the PV pumping market. The most commonly employed pump type is the centrifugal pump. Single-stage centrifugal pumps are frequently used in PV shallow water pumping for low head applications. For PV subterranean water pumping and surface water pumping with higher heads, multistage centrifugal pumps are more suitable. Other pump types such as progressive cavity pumps [2] and piston pumps [3] have also been utilized. The most commonly utilized motor type with PV pumping systems is the permanent magnet (PM) brushed dc motor [4]–[8]. Other brushed dc motors such as series [9], shunt [10], Manuscript received February 17, 2010; revised April 30, 2010; accepted June 06, 2010. Date of publication June 14, 2010; date of current version September 22, 2010. The authors are with the School of Electrical, Electronic, and Computer Engineering, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. (e-mail: m.a.elgendy@ncl.ac.uk; bashar.zahawi@ncl.ac.uk; dave.atkinson@ncl.ac.uk). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TSTE.2010.2052936 Fig. 1. Mismatch between motor-pump load and PV generator. (a) I –V curves; (b) power–voltage curves. and separately excited [11] motors have also been investigated. In bore-hole and deep-well pumping applications, induction motors [12] and brushless dc motors [2] are preferred since they require less maintenance. Other types of motors have also been used including single-phase induction motors [13] and switched reluctance motors [14]. A dc motor-pump set can be connected directly to the PV generator as is the case with most commercial dc PV pumping systems. In this case, the system operates at the intersection of the current–voltage ( – ) curve of the PV generator and the load-line, as shown in Fig. 1. This operating point may be far from the maximum power point (MPP) of the PV generator wasting a significant part of the available solar power. To better match the PV generator to the motor-pump set, a pump controller is required. For dc PV pumping systems, the pump controller is basically a dc–dc converter whose duty ratio is controlled by a maximum power point tracking (MPPT) algorithm. This is used to adjust the motor armature voltage and 1949-3029/$26.00 © 2010 IEEE ELGENDY et al.: COMPARISON OF DIRECTLY CONNECTED AND CONSTANT VOLTAGE CONTROLLED PV PUMPING SYSTEMS 185 Fig. 2. SANYO’s HIP-J54BE2 PV array. in turn the motor speed and the hydraulic power of the pump according to the insolation level. Different types of dc–dc converters have been employed including the buck converter [8], [15] and the boost converter [4] depending on the voltage rating of the motor and the PV array. A constant voltage MPPT algorithm assumes a fixed value for the MPP voltage equal to the value measured at standard test conditions provided by the manufacturer. This value is used as a reference for a feedback control loop that usually employs a PI controller to adjust the duty ratio of an MPPT converter. Constant voltage MPPT control requires the measurement of the array voltage only and is easily implemented with both analogue and digital circuits. In this paper, a directly connected PV pumping system and a scheme utilizing a constant voltage MPPT algorithm are examined experimentally using a 1080-Wp PV setup. The system is also modeled and simulated numerically using the measured characteristics of each individual component. In each case, the system performance is analyzed and the energy utilization efficiency is calculated for different weather conditions. II. EXPERIMENTAL SETUP AND METHODOLOGY An experimental PV pumping system prototype comprised of a 1080-Wp PV array, a step down dc–dc converter, and a dc motor loaded by a centrifugal pump was constructed. The PV array (Fig. 2) was installed facing south at a fixed tilt angle of 54 with respect to the horizontal on the roof of the Charles Parsons Technology Centre (CPTC) building of the New and Renewable Energy Centre (NaREC) in Blyth, Northumberland, U.K. This PV array consists of six 180-Wp SANYO HIP-J54BE2 solar modules. To suit the motor voltage rating, this array is divided into two parallel branches of three series connected modules. A protection diode is connected in series with each array branch to block any current flow from the system to the array. On the same roof, a Vaisala MAWS201 weather station is installed where weather parameters are recorded at a 1-s sampling rate. Solar irradiance was measured by a global radiation sensor fixed on a surface inclined at the same tilt angle as that of the solar array. Array surface temperature was calculated from the available measurements of the ambient temperature, solar irradiance, and wind speed. The terminals of the PV generator are connected at a connection control cabinet next to where the pumping system, the Fig. 3. Experimental PV pumping system setup. dc–dc power converter, and the measuring probes are located (Fig. 3). The – curves of the PV array were measured utilizing two series connected 120- sliding resistors connected directly to the array. Array current and voltage were measured using a Tektronix TSD 2014B digital oscilloscope with an A622 current probe and a P5200 high voltage differential probe. The same instruments are also used for measuring array/motor current and voltage in the directly connected system. Weather parameters were monitored and only – curves with no significant irradiance/temperature variations over the measurement interval were retained. Measurements were taken at different times during the day to cover different irradiance levels. The effects of the ohmic losses in the connection cables, the voltage drops across the protection diodes, and the impact of any dissimilarity in module characteristics were accounted for by measuring – curves of the PV generator at the load terminals. A SunPumps SCB 10-185 motor-pump set was utilized. This set consists of a ten-stage centrifugal surface pump driven by a PM brushed dc motor. The pump is designed to operate with best efficiency at a static head of higher than 50 m when operated at its nominal voltage. It is usually used either for boosting the water pressure of a fresh water network or with a drip irrigation network. Since it is difficult to maintain a static head of 50 m inside the laboratory, the pump was used to circulate the water in and out of a water tank with a static head of about 1 m. At this operating point, the pump has a low efficiency. However, if the pump were to be operated at the same terminal voltage in a higher static head application, the operating point would be located at a high efficiency point on the same head-flow rate curve. The motor-pump set was first operated from a dc power supply to measure its parameters before being used with the PV generator. Motor current and voltage were measured with high resolution digital multimeters and a digital oscilloscope. Motor speed was measured with a TENMA 72-6633 handheld digital phototachometer. Pumping head and flow rate were measured with a Reliance Water Controls WATM 200-016 MNK Multijet turbine water flow meter and a TECSIS 1425-075092 pressure gauge. A discharge valve was used to control the pumping pressure. The pumping head was varied by controlling the 186 IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, VOL. 1, NO. 3, OCTOBER 2010 valve, from 1 m when the valve is fully opened to a maximum value of 93 m when the valve is fully closed and the motor operating at its rated voltage of 135 V. For constant voltage operation, a step-down dc–dc power converter was constructed and used as an interface between the PV array and the motor-pump set. The link capacitance and the PWM frequency of the converter are fixed at 470 F and 10 KHz, respectively. The PV array current and voltage were measured with Hall Effect sensors: LTS15-NP and LV25-P, respectively. The current measurements were not used as part of the control system but were included for data acquisition purposes only. A Texas Instruments TMS320F2812 DSP-based eZdsp kit was used for control and data acquisition utilizing the real-time data exchange (RTDX) feature of the DSP. This DSP-based control hardware was used for experimental flexibility and ease of programming. In a commercial product, a lower cost microcontroller would be more than adequate to implement the control algorithms under investigation. To analyze the system performance with constant voltage operation under both transient and steady-state conditions, system parameters were recorded with a resolution of 2 K samples/s. A test duration of 20 min was chosen to study the effects of solar irradiance/cell temperature variations on system behavior and to calculate the energy utilization efficiency at different weather conditions. In this test, the parameters are recorded with a low acquisition rate of 10 samples/s to limit the host computer buffer size and the storage memory required for the acquisition files. III. SYSTEM MODELING In order to simulate the system numerically, simple and accurate models are derived for the PV generator and the centrifugal pump based on their measured characteristics. The parameters of a simple linear model of the motor [18] were derived from measurements made on the PM machine. For the sake of simplicity, an ideal lossless model was assumed for the power converter. A. PV Generator Model Different models of the solar cell have been used to describe its electrical behavior. Mathematical models derived from the one-diode or the two-diode solar cell equivalent circuits are the most common [16], [17]. These models usually give the cell current as a nonlinear implicit function of the cell voltage requiring a nonlinear numerical technique such as the Newton–Raphson method to solve the equation. This iterative process is time consuming especially if high accuracy is required. For this investigation, a faster look-up table-based model was developed to simulate the PV generator (Fig. 4). The measured – curves were scaled to 25 C cell temperature utilizing the temperature coefficients of the PV module and used to construct a look-up table. The influence of cell temperature was accounted for using the temperature coefficients of the array short circuit current and open circuit voltage. These were also used to calcuand current from look-up late the MPP voltage and , respectively, at 25 C cell temperatables of ture. The effect of temperature on the fill factor of the PV array was neglected. This is a reasonable assumption for the proposed Fig. 4. Look-up table-based model for PV generator. Fig. 5. PM brushed dc motor model. system due to the better temperature characteristics of the Heterojunction with Intrinsic Thin layer (HIT) PV modules used in the investigation and the cold climate of the installation site. A simple model was developed to calculate the cell temperfrom the ambient temperature , the solar irraature , and the wind speed , assuming that the cell diance acquires thermal energy from the solar radiation thus increasing . It was also assumed that thermal enits temperature by ergy is lost by free convection and also by forced convection when the PV array is exposed to the wind. This energy flow to the surrounding air decreases the cell temperature by (free convection) and (forced convection), as described in and , be(1). Linear relationships were assumed between and , and between and the product of tween and . The resultant model is illustrated in (2), where and are constants chosen to give minimum standard deviation of the difference between calculated and the measured cell temperatures (1) (2) To compensate for the long time constant of the solar cell, measured data was averaged every 150 s. About 900 samples of cell temperature measured at a variety of conditions gave values and , at a standard deviation of of 2.53 C. B. PM Brushed DC Motor Model A simple linear model of the PM dc motor was used in this investigation, as shown in Fig. 5. The load torque here is the mewhich is a nonlinear function chanical torque of the pump of the motor speed. ELGENDY et al.: COMPARISON OF DIRECTLY CONNECTED AND CONSTANT VOLTAGE CONTROLLED PV PUMPING SYSTEMS 187 Fig. 7. Measured pump torque-speed characteristics. a useful static head replaces the forced friction head resulting from partially closing the discharge valve Fig. 6. Measured pump speed-flow rate and speed-power characteristics. (4) C. Centrifugal Pump Model The centrifugal pump is characterized by its head-flow rate performance curve at the nominal speed. The curves at different speeds are commonly estimated using the affinity laws (Similarity laws) of the pump [19]–[21]. These laws state that the flow rate is directly proportional to the impeller speed, the head is proportional to the square of the speed, and the hydraulic power is proportional to the cube of the speed. Affinity laws can predict the performance curves of the pump with good accuracy at high speeds but they are not very accurate at low speeds and/or with constant head applications. The measured flow rate versus speed, head versus speed, and power versus speed characteristics of the SCB 10-185 pump at 1-m static head and different discharge valve settings are shown in Fig. 6. For very low speeds, the pressure produced by the pump is less than the static pressure and the rotation just circulates the water within the pump. When the speed reaches a , the pump starts delivering water and the threshold value flow rate varies linearly with the speed, as expressed in (3) obtained by curve fitting. For high speeds, the constant in this term and the equation can be neglected with respect to the relationship agrees with the affinity laws. The values of and depends on the discharge valve setting and the static head. These have maximum values when the discharge valve is fully opened and at 1-m static head) and decrease with ( increasing pumping head (3) When the discharge valve is fully opened, the friction head can be neglected compared to the static head resulting in nearly constant pumping head and a linear relationship between the hydraulic power and the pump speed (Fig. 6). When the discharge valve is partially closed, the friction head may become much higher than the static head depending on the speed and a square head-speed relationship is obtained by curve fitting as illustrated by (4), where the values of and depend on the valve setting. For high speeds, the first-order term can be neglected and the relationship agrees with the affinity laws. In real applications, Since the hydraulic power is proportional to the head-flow rate product, it has a linear relationship with the pump speed when the discharge valve is fully opened and has a cubic relationship with it when the valve is partially opened. This is represented by (5) obtained by curve fitting of the speed-power relationship. The lower order terms can be neglected at high speeds matching the affinity laws (5) Torque-Speed Characteristic of the Centrifugal Pump: To start the centrifugal pump, a breakaway torque of about 10%–25% of the nominal torque is required to overcome the static friction of the moving parts involved, such as bearings and shaft seals [21]. The breakaway torque may be assumed to decrease linearly with the pump speed to zero when the speed reaches 10%–20% of its nominal value [20], [22]. However, this assumption does not match the curve fitting of the measured torque-speed relationship shown in Fig. 7. Instead, a nonlinear relationship of a summation of two terms is assumed for the breakaway torque similar to that given in [23] for a dc motor. The first is an exponentially decaying term representing the transition from static to kinetic friction and the second is a constant term representing Coulomb friction. A square torque-speed relationship can be derived from the power equation of the affinity laws. Adding the breakaway torque, the resultant torque-speed relationship will be as illustrated in (6) showing very good agreement with the measured torque-speed characteristic (6) IV. DIRECTLY CONNECTED PV PUMPING SYSTEMS The transient characteristics of the directly connected system were measured at constant solar irradiance and cell temperature and simulated at the same irradiance and temperature values. As 188 Fig. 8. Simulated array/motor voltage and current waveforms of directly connected PV pumping system. Fig. 9. Simulated motor speed and flow rate waveforms of directly connected PV pumping system. shown in Fig. 8, once the system is started s , the operating point of the PV array moves abruptly from the open circuit condition to a point near the short circuit condition where the ratio between the array voltage and current equals the armature resistance of the motor. If the solar irradiance is high enough so that the current at this point can produce a higher torque than the break-away torque of the motor-pump set, the motor starts to rotate. This moves the operating point towards the open circuit voltage again to settle at the intersection between the – curves of the array and the motor. For the considered system, the steady-state operating point is located to the left-hand side of the MPP where the change in array/motor current is very small. If the solar irradiance changes, the operating point moves to the new intersection point of the – curves of the array and the motor. As the motor voltage increases, its speed increases. After reaching a threshold speed, the pump starts to deliver water with a flow rate proportional to its speed, as shown in Fig. 9. Unlike the simulated waveforms, the measured array/motor voltage and current have spikes with magnitude proportional to the irradiance level (Fig. 10). Consequently, ripples appear in the motor speed and the flow rate waveforms, as illustrated in Fig. 11. The voltage spikes are attributed to the periodic increase in the effective resistance of the motor as the commutator segments pass through the brushes. The increase in the effective resistance of the motor moves the operating point towards the open circuit condition. The frequency spectrum of the measured motor voltage at a certain motor speed is concentrated in a single tone, as shown in Fig. 12. As the solar irradiance increases, the motor IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, VOL. 1, NO. 3, OCTOBER 2010 Fig. 10. Experimental results showing array/motor voltage and current waveforms of directly connected PV pumping system. Fig. 11. Simulated motor speed and flow rate waveforms of the directly connected system. Fig. 12. Normalized frequency spectrum of measured array/motor voltage waveform of directly connected PV pumping system. voltage and speed increase, which increases, respectively, the amplitude and the frequency of the peak harmonic. The relationship between the motor speed and the frequency of the peak harmonic in the measured motor voltage at different irradiance levels is linear, as shown in Fig. 13. The slope of the line is 18 per revolution, half the number of commutator segments. Fig. 14 shows the influence of solar irradiance (0–1200 W/m and cell temperature (0 C–60 C) on the location of the MPP (shaded area) and the corresponding operating points of directly connected and constant voltage controlled PV pumping systems. These are obtained from measured pump and array performance characteristics. For the directly connected motor-pump set, the operating points are a function of the load characteristics and are never in the ELGENDY et al.: COMPARISON OF DIRECTLY CONNECTED AND CONSTANT VOLTAGE CONTROLLED PV PUMPING SYSTEMS 189 Fig. 13. Relationship between the frequency of the peak harmonic of the array/ motor voltage and the motor speed of the directly connected system. Fig. 16. Experimental system performance of directly connected PV pumping systems under slow changing irradiance. Fig. 14. Influence of solar irradiance and cell temperature on MPP location. Fig. 17. Experimental system performance of directly connected PV pumping systems under fast changing irradiance. V. CONSTANT VOLTAGE CONTROLLED PV PUMPING SYSTEM Fig. 15. Influence of solar irradiance and cell temperature on the energy utilization efficiency of directly connected PV pumping system. required maximum power area for the motor-pump set used in the experimental investigation. Energy utilization efficiency is a function of temperature and solar irradiance levels, as shown in Fig. 15. Utilization is reasonably high for high values of temperature and solar irradiance but falls sharply with lower irradiance values. Energy utilization efficiency is calculated for the experimental system for a 400-s period at slow changing (Fig. 16) and at fast changing (Fig. 17) irradiance giving values of around 62% and 51%, respectively. The lower utilization shown in Fig. 17 is due to the low irradiance intervals where the operating point is some distance from the MPP and the slow response of the system to irradiance changes. A PV pumping system with constant voltage control includes a dc–dc converter as shown in Fig. 18. The converter duty ratio is adjusted using a PI controller to keep the array voltage constant at the reference value, as shown in Fig. 19. The transient characteristics of the PV pumping system with constant voltage control are measured at constant solar irradiance and cell temperature. As shown in Fig. 20, when the system is started, the operating point of the PV array moves from the open circuit voltage to settle at the reference voltage in less than 0.1 s. The steady-state array voltage has a high frequency ripple with a peak–peak magnitude of about 2 V. The motor draws a high starting current from the link capacitor which decreases as the voltage on the capacitor decreases. The steady-state motor current equals the array current divided by the duty ratio of the converter. Due to the higher mechanical time constant of the motor-pump set, the motor speed takes 190 IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, VOL. 1, NO. 3, OCTOBER 2010 Fig. 18. Circuit diagram of constant voltage controlled PV pumping system. Fig. 19. Block diagram of constant voltage control. Fig. 21. Motor current and speed, load torque, and flow rate waveforms of PV pumping system with constant voltage control. Fig. 22. Influence of solar irradiance and cell temperature on the energy utilization efficiency of PV system operated at constant voltage. Fig. 20. Experimental results showing array voltage, current, and power waveforms of constant voltage controlled PV pumping system. longer to settle. The high frequency ripple is absorbed by the motor inertia and does not affect the motor speed (Fig. 21). The flow rate is proportional to the motor speed while the load torque is a square function of the speed. For the constant voltage controlled set, the operating point corresponding to 162-V operation can occasionally lie on the MPP depending of irradiance and temperature levels (Fig. 14). The corresponding energy utilization levels shown in Fig. 22 are significantly better than the previous directly connected case, especially at low radiation levels. Energy utilization efficiency is calculated for the experimental system for a 20-min period at slow changing (Fig. 23) and at fast changing (Fig. 24) irradiance giving values of approximately 91% in both cases. Due to the fast response of the PI controller compared to the speed of irradiance changes, the utilization is not affected greatly by irradiance and temperature transients. With the system under investigation, the constant voltage MPPT algorithm gives an energy utilization of only 91%. This Fig. 23. Experimental performance of PV pumping system when operated at constant voltage at nearly constant irradiance. can be improved marginally if the reference voltage is selected ELGENDY et al.: COMPARISON OF DIRECTLY CONNECTED AND CONSTANT VOLTAGE CONTROLLED PV PUMPING SYSTEMS 191 ACKNOWLEDGMENT The authors would like to thank the staff at NaREC and in particular Dr. S. McDonald for the use of their PV arrays and for their valuable help and support. REFERENCES Fig. 24. Experimental performance of PV pumping system when operated at constant voltage at nearly constant irradiance. in accordance with local temperature and average irradiance conditions instead of the STC value of the MPP voltage. For more significant improvements in energy utilization, more complex MPPT control algorithms would be required. For low power applications, this low utilization efficiency is mitigated by the simplicity of the algorithm and the low cost of its implementation. However, for applications at higher power levels, the cost of control is less important and the use of more sophisticated control would be justified. VI. CONCLUSION This paper has presented a comparative performance analysis and an experimental evaluation of directly connected PV pumping systems with systems using a reference voltage MPPT algorithm. The effects of the solar irradiance and cell temperature on system behavior and energy utilization were examined using a 1080-Wp experimental setup. The directly connected PV pumping system offers a low-cost implementation but has poor energy utilization depending on the distance between the load line and the MPP at different weather conditions. In the experimental system described, energy utilization efficiency values in the region of 63% and 51% were measured for slow changing and fast changing irradiance, respectively. In contrast, the constant voltage MPPT-based scheme offers better energy utilization especially at low cell temperatures. For this system, experimental tests produced an energy efficiency figure of 91% for both slow and fast changing irradiance. Although the constant voltage MPPT performance can be improved upon by more sophisticated MPPT algorithms, it does offer a relatively simple approach which can be implemented in low-cost control hardware. [1] S. A. Jaber and R. Burrett, Renewables 2007: Global Status Report Renewable Energy Policy Network for the 21st Century, REN21 Secretariat, Paris, 2008. [2] B. W. W. Lawrance and D. Langridge, “Simulation and performance of a photovoltaic pumping system,” in Proc. IEEE Int. Conf. Power Electronics and Drive Systems, 1995, vol. 1, pp. 513–518. [3] G. R. Whitfield, R. W. Bentley, and J. D. Burton, “Increasing the costeffectiveness of small solar photovoltaic pumping systems,” Renewable Energy, vol. 6, pp. 483–486, 1995. [4] M. 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Anis, “Performance analysis of photovoltaic pumping systems using switched reluctance motor drives,” Progress in Photovoltaics, vol. 3, pp. 253–264, 1995. [15] M. A. Elgendy, B. Zahawi, and D. J. Atkinson, “Analysis of the performance of DC photovoltaic pumping systems with maximum power point tracking,” in Proc. IET Int. Conf. Power Electronics, Machines and Drives, York, U.K., 2008, pp. 426–430. [16] M. Prorok, B. Werner, and T. Zdanowicz, “Applicability of equivalent diode models to modeling various thin-film photovoltaic (PV) modules in a wide range of temperature and irradiance conditions,” Electron Technol., vol. 37–38, pp. 1–4, 2006. [17] N. Femia, G. Petrone, G. Spagnuolo, and M. Vitelli, “Optimization of perturb and observe maximum power point tracking method,” IEEE Trans. Power Electron., vol. 20, no. 4, pp. 963–973, Jul. 2005. [18] N. Mohan, T. Undeland, and W. Robbins, Power Electronics: Converters, Applications, and Design. Hoboken, NJ: Wiley, 2003. [19] J. W. Dufour and W. E. Nelson, Centrifugal Pump Sourcebook. New York: McGraw-Hill, 1992. [20] J. F. Gulich, Centrifugal Pumps. New York: Springer, 2007. [21] S. Pumps, Sulzer Centrifugal Pump Handbook. New York: Elsevier, 1998. [22] J. P. M. Igor, J. Karassik, P. Cooper, and C. C. Heald, Pump Handbook. New York: McGraw-Hill, 2008. [23] T. Kara and I. Eker, “Nonlinear modeling and identification of a DC motor for bidirectional operation with real time experiments,” Energy Convers. Manage., vol. 45, no. 7–8, pp. 1087–1106, 2004. 192 IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, VOL. 1, NO. 3, OCTOBER 2010 Mohammed Ali Elgendy was born in Behera, Egypt in 1974. He received the B.Sc. degree, in 1997, from Menoufia University, Egypt, and the M.Sc., in 2003, from Ain Shams University, Egypt, both in electrical engineering. He is currently working toward the Ph.D. degree in electrical engineering at Newcastle University, U.K. From June 1998 to May 2006, he was a Research Assistant at the New and Renewable Energy Department, Desert Research Centre, Cairo, Egypt. His research focuses on control of power electronic converters for standalone photovoltaic systems. Bashar Zahawi (M’96–SM’04) received the B.Sc. and Ph.D. degrees in electrical and electronic engineering from Newcastle University, Newcastle upon Tyne, U.K., in 1983 and 1988. From 1988 to 1993, he was a design engineer with a U.K. manufacturer of large variable speed drives and other power conversion equipment. In 1994, he was appointed as a Lecturer in Electrical Engineering at the University of Manchester, and in 2003, he joined the School of Electrical, Electronic and Computer Engineering at Newcastle University, as a Senior Lecturer. His research interests include small scale generation, power conversion, and the application of nonlinear dynamical methods to electrical circuits and systems. Dr. Zahawi is a chartered electrical engineer. David John Atkinson received the B.Sc. degree in electrical and electronic engineering from Sunderland Polytechnic, U.K., in 1978, and the Ph.D. degree from Newcastle University, Newcastle upon Tyne, U.K., in 1991. He is currently a Senior Lecturer in the Power Electronics, Drives and Machines Research Group at Newcastle University. He joined the university in 1987 after 17 years in industry with NEI Reyrolle Ltd. and British Gas Corporation. His research interests are mainly focussed on control of power electronics systems including electric drives and converters. Dr. Atkinson is a chartered electrical engineer.