3.1 Annual Energy Yield and Overall System Efficiency
Across the simulated meteorological year, the array received a total global solar radiation of 2100 kWh/m², from which 2800 kWh/year of usable array energy was estimated to be available (Table 1). This translated into an annual pumped volume of 9125 m³ — an average of almost exactly 25 m³ per day, which is reassuring, since it confirms that the hydraulic sizing carried out earlier held up once seasonal variability was folded into the simulation rather than assumed away. The resulting overall system efficiency of 48% (Table 1) is broadly in line with what one would expect for an electromechanical fluid-transport chain of this kind, once thermal losses in the array and mechanical losses in the centrifugal pump are accounted for; it is not an exceptional figure, but it is a believable one, and that arguably matters more for a system meant to be replicated elsewhere.
3.2 Seasonal Productivity and Loss Distribution
The normalized productivity analysis (Figure 2a) shows a system that behaves, on the whole, predictably across seasons — useful energy production (Y_f) averaged 4.63 kWh/kWp/day, with the expected seasonal dip during the winter months (November–February) attributable to shorter daylight hours and a lower solar incidence angle. Collection losses (L_c), averaging 1.26 kWh/kWp/day, were concentrated instead in the summer, when elevated module temperatures and the negative temperature coefficient of the monocrystalline cells eroded some of the gains from higher irradiance. This inverse seasonal relationship between energy availability and thermal loss is a familiar pattern in hot climates, though it is still worth flagging explicitly, since it means peak irrigation demand and peak thermal penalty arrive at more or less the same time of year.
The detailed loss diagram (Figure 2b) breaks this down further. Unused energy (L_u) — power generated once the storage tank is already full — was estimated at 1.20 kWh/day, suggesting a modest degree of intentional array oversizing (roughly 120 W) built in specifically to maintain

Figure 1. System architecture and field deployment of the standalone photovoltaic water pumping system (PVWPS). (a) Schematic block diagram of the electro-hydraulic components, showing the PV array, controller/inverter, well and pump assembly, and storage tank, with the Total Dynamic Head indicated. (b) Single-diode equivalent electrical circuit model of the deployed monocrystalline PV cell used for PVsyst modeling. (c) Electro-hydraulic integration diagram of the physical prototype as installed, showing water-level sensor placement, pump position, and pipe routing between the well, pump, and storage tank.

Figure 2. Simulated annual performance of the PVWPS over a full meteorological year. (a) Normalized specific productivity showing produced useful energy (Yf), collection losses (Lc), and system losses (Ls). (b) Simplified system component diagram used in the PVsyst loss model (array, inverter, injection point). (c) Monthly variation in Performance Ratio (PR), with an annual mean of 0.768. (d) Frequency distribution of the system’s useful output power across the annual operating cycle.
output during cloudy periods. Collection losses (L_c ≈ 0.85 kWh/day) and system-level conditioning losses (L_s ≈ 0.30 kWh/day) both remained within what would generally be considered acceptable bounds for this class of system. After these losses, the active energy delivered to the pump (Y_f) settled at 2.95 kWh/day, comfortably sufficient to overcome the 27.5 m TDH on a consistent basis.
3.3 Performance Ratio Stability
The monthly Performance Ratio trace (Figure 2c) stayed within a fairly narrow band around a mean of 0.768 (≈77%), with small month-to-month fluctuations tracking ambient temperature and local irradiance. It is tempting to attribute this stability entirely to good component selection, but the more accurate reading is probably that the P&O MPPT controller deserves much of the credit — by continuously repositioning the pump’s operating voltage toward the array’s instantaneous maximum power point, it appears to have limited the extent to which partial shading or elevated summer temperatures could drag performance down.
3.4 Field Deployment and Array Configuration
The physical prototype (Figure 1c) was built around five series-connected 300 W monocrystalline modules (32.2 V, 9.3 A at STC), mounted at the same 33° tilt used in simulation, and configured to deliver a target flow of roughly 5000 L/hour based on 25 m³/day and an assumed five hours of usable insolation. The plumbing layout was kept deliberately direct, with minimal bends between pump and tank, in order to avoid adding unnecessary friction losses beyond those already budgeted for in the TDH calculation. Water-level sensing at both ends of the system (well and tank) provided the feedback needed to protect the pump from dry-running or continuing to operate once storage capacity was reached. The overall electro-hydraulic architecture — from array, through controller and well assembly, to the storage tank — is summarized schematically in Figure 1a, alongside the single-diode equivalent circuit used to model the array’s electrical behavior in PVsyst (Figure 1b).
3.5 Climatic Variability and Monthly Performance
Monthly climatic data (Figure 3a) confirm what the Introduction already implied — solar irradiance and agricultural water demand peak at almost the same time of year, but so does ambient temperature, which works against PV efficiency even as it drives demand upward. The monthly electrical yield and Performance Ratio trends (Figure 3b) reflect this tension directly: energy generation reaches its maximum during peak summer, precisely when it is most needed, but the Performance Ratio dips over the same period, a pattern consistent with thermal derating of monocrystalline silicon above STC reference temperature. That the PR nonetheless remained comparatively stable through this seasonal penalty is arguably the more interesting finding, and again points toward the MPPT controller as the main stabilizing factor.
The scatter relationship between incident radiation and daily useful energy (Figure 3c) was tightly linear, with operating points clustered closely along a single trajectory — a pattern that suggests the MPPT algorithm tracked the true maximum power point consistently, without major oscillation or tracking failure, across the full range of irradiance conditions encountered.
3.6 Output Power Distribution and Equivalent Circuit Behavior
The annual power output distribution (Figure 2d) shows the system spending most of its operating hours near its 1500 W rating, with a pronounced peak toward the higher end of the power spectrum — evidence that, despite the harsh environmental conditions described earlier, the array delivered high-efficiency output for the majority of daylight hours. Lower-frequency bands at the low-power end of the distribution correspond to short transitional periods around sunrise, sunset, and episodes of heavy cloud cover, rather than any sustained underperformance. The single-diode equivalent circuit model (Figure 1b) — comprising a light-generated current source, a shunt resistance, and a series resistance representing ohmic and leakage losses — underpinned the PVsyst modeling of these dynamics, and its series/shunt resistance values were an important determinant of how the simulated I–V curve responded to Al-Shomali’s particular temperature and irradiance profile.
3.7 Field Validation Against Simulation
Volumetric field testing, using a 1 m³ metering tank and digital timing at the design operating point of 27.5 m TDH, produced a measured Performance Ratio that came reasonably close to the simulated value of approximately 78% (Table 2), which is encouraging, though it should be read as an initial validation rather than a long-term average given the relatively short measurement window involved. Where the two diverged, localized soiling — fine dust settling on the panel surface, a near-daily occurrence

Figure 3. Field climatic conditions and empirical performance validation. (a) Monthly solar irradiance components (global horizontal, diffuse horizontal, global incident) and ambient temperature recorded at the Al-Shomali site. (b) Monthly electrical energy yield (array and useful energy) alongside monthly Performance Ratio. (c) Scatter relationship between daily global incident solar radiation and daily useful system energy output, illustrating the linearity of the array’s electrical response across the full range of irradiance conditions.
Table 1: Technical and physical specifications of the proposed PV pumping system in the Al-Shomali area.
|
No.
|
Parameter
|
Value / Specification
|
|
1
|
Daily water demand (V)
|
25 m3/day
|
|
2
|
Total Dynamic Head (TDH)
|
27.5 m
|
|
3
|
Storage tank capacity
|
25 m3
|
|
4
|
Well borehole diameter
|
15 cm
|
|
5
|
Submersible pump depth
|
25 m
|
|
6
|
PV array tilt angle (β)
|
33° (optimized for site latitude)
|
|
7
|
Azimuth angle (γ)
|
0° (True South)
|
|
8
|
PV panel type
|
300W Monocrystalline Silicon
|
|
9
|
Pump rating
|
1500W, 24V DC Submersible
|
|
10
|
Power conditioning
|
MPPT Controller
|
Table 2: Analytical summary of annual simulation results and overall system performance indicators.
|
No.
|
Simulation Indicator
|
Resulting Value
|
|
1
|
Total annual global solar radiation (Hglob)
|
2100 kWh/m2
|
|
2
|
Total available array energy (Eavail)
|
2800 kWh/year
|
|
3
|
Total annual pumped water volume (Vtotal)
|
9125 m3
|
|
4
|
Average annual Performance Ratio (PR)
|
78%
|
|
5
|
Overall system efficiency (ηsys)
|
48%
|
|
6
|
Annual CO2 emission savings
|
1.8 tons
|
in this part of Iraq — appeared to be the most plausible explanation, alongside a degree of partial dust shading on portions of the array. The P&O MPPT controller again proved useful here, continuously repositioning the pump’s operating voltage to track the best available power point and thereby helping to prevent stalling as irradiance fluctuated through the day.
3.8 Techno-Economic Implications
Taken as a whole, these results point toward a system that is not just technically functional but plausibly the more sensible economic choice over time, given the ongoing fuel, maintenance, and downtime costs associated with diesel alternatives (cf. Kumar & Rosen, 2017). That said, the present study did not carry out a formal levelized-cost-of-water or payback-period calculation, and doing so — ideally incorporating local diesel fuel prices, capital cost of the PV/MPPT/pump package, and expected maintenance intervals — would considerably strengthen the techno-economic claims made here and is recommended as a priority for follow-up work.