Solar Water Pump Size Calculator & Borehole Sizing

Size a solar water pump from daily demand, borehole drawdown and pipe losses. Estimate PV kWp, pump horsepower, hourly flow and intake submergence.

#borehole #Colebrook–White #Darcy–Weisbach #drawdown #irrigation #MPPT #PM-KUSUM #solar pumping

Use this solar pump size calculator to turn a daily water requirement into a hydraulic duty and a PV array rating. It is intended for engineers, irrigation advisers, students and owners comparing a borehole water supply or solar irrigation proposal. The result includes peak hourly flow, total dynamic head, pump shaft power, motor electrical input and the minimum continuous PV nameplate rating for the selected design day.

Start with the volume that must arrive at the tank each day. For irrigation, switch to field area and net irrigation depth, then enter the application efficiency. Net depth should already account for effective rainfall. Choose a water sizing factor to include a deliberate allowance. Use solar irradiation on the array plane for the critical month: peak sun hours are equivalent energy hours, while the daylight window controls how long pumping can occur.

For the borehole, enter the lowest seasonal static level, a stabilized pumping-test flow and the measured fall in water level at that flow. Enter the sustainable rate separately; a short pumping test alone does not establish long-term groundwater availability. The model scales drawdown with flow, so the water level falls farther as pumping increases. Play the solar-time control to inspect that change through the day. This is a quasi-steady response, not an aquifer depletion forecast. PVsyst’s borehole model (https://www.pvsyst.com/help/project-design/pumping-systems/pumping-system-procedure/pumping-borehole-modelling.html) explains the underlying approximation.

Specify the rising main and delivery pipe using its actual inside diameter, total length, roughness and fitting losses. The borehole pump size calculator adds water-level lift, delivery elevation, outlet pressure and Darcy–Weisbach losses. Pump installation depth affects submergence and pipe length; it does not replace the pumping water level in the lift calculation. For an open tank, set outlet pressure to zero and include the exit loss in the fitting coefficient.

The hourly calculation follows a smooth sun profile and solves flow from available electrical power and the changing head. Peak flow can be considerably higher than daily volume divided by daylight hours. Use the head-versus-flow curve and peak duty to request a manufacturer-verified pump selection. A solar water pump hp calculator cannot establish the right commercial model from horsepower alone. Check efficiency, minimum running speed, controller start threshold, permissible head range, motor cooling and dry-run protection.

The storage result is only a night-time lower bound for uniform demand. Allow additional capacity for daytime mismatch, cloudy days and unusable tank volume. Battery storage, weather sequences, surge, groundwater interference and detailed crop scheduling are outside this model. Optional India subsidy presets reproduce Component B shares dated 17 January 2024; they do not establish a current entitlement. Installation work belongs to a qualified person, with local groundwater permissions and the electrical rules in force checked before installation.

How it is calculated

Daily irrigation volume is field area × net application depth / application efficiency; direct-volume mode uses the entered delivered volume. The sizing factor multiplies this daily requirement. The demand/head/solar-resource workflow follows the GIZ/FAO SPIS DESIGN module, section 5 (PDF p.14).

The head model is H(Q)=Hs+zdelivery+p/(ρg)+s(Q)+hf(Q)H(Q)=H_s+z_{delivery}+p/(\rho g)+s(Q)+h_f(Q). Measured drawdown is scaled as s(Q)=stestQ/Qtests(Q)=s_{test}Q/Q_{test}, the steady-state form of the PVsyst borehole model. The level is depth below ground, so the pump intake is checked separately against this level plus the required submergence.

The pipe functions are reused from WiredWhite's Pipe Pressure Drop and Pump Sizing calculator: hf=(fL/D+ΣK)v2/(2g)h_f=(fL/D+\Sigma K)v^2/(2g) with v=Q/Av=Q/A. Darcy f=64/Ref=64/Re for Re≤2000Re\le2000; Colebrook–White is iterated 14 times above Re=4000, starting from Swamee–Jain. Between 2000 and 4000 a linear blend is only an estimate. At zero flow losses and the displayed factor are zero.

The sun is a half-sine over the entered daylight window, normalized so its time integral equals peak sun hours. Available DC power is PV nameplate × field factor × normalized irradiance. A 241-point hydraulic-load curve is inverted at 121 daylight samples. A root solver adjusts PV rating until integrated flow meets the daily target. Ph=ρgQHP_h=\rho gQH, shaft power is Ph/ηpP_h/\eta_p, and motor input is shaft power divided by motor efficiency. Peak ratings and daily trapezoidal integrals are reported separately.

The numerical sun profile and inversion are derived here from energy balance; they are not a pump manufacturer's performance prediction. The CDER 2008 ideal-head example and Penn State pipe-loss example verify the energy and friction paths independently. Original diagrams are schematic.

Historical finance uses the lesser of entered tender and benchmark costs, multiplied by the selected 2024 central and minimum-state shares. Owner cost is tender cost less those grants, before loans. MNRE guidelines (https://upnedakusumc2.in/assets/Policy/Policy2.pdf), attached pp.8–10, govern these snapshots.

Assumptions

Fresh, incompressible Newtonian water; constant properties and a single equivalent circular pipe. The user supplies pipe roughness and fittings. Enter K≈1 for a submerged pipe exit into a large open tank, and include terminal velocity head for a free jet through its equivalent K.

A variable-speed MPPT controller can operate across the whole modelled power range, without a start threshold, minimum speed or power clipping. Pump, motor and controller efficiencies and the field output factor are constant. Thus the calculated PV rating is a screening minimum for the selected water allowance, not a guaranteed daily yield.

Drawdown is linear with pumping rate and follows the changing flow immediately. This approximation omits transient aquifer storage, well-loss nonlinearity, recovery lag and nearby pumping. Above-test flow is flagged. Use the lowest seasonal static level and a separately verified sustainable rate. The animation shows this assumed daily response, not a measured transient.

Nominal defaults represent about 20 °C water and a smooth plastic pipe; they are editable assumptions. The default 3 m minimum submergence is an input assumption. Physical values use explicit units with the platform's metric/US display and input unit chooser; a second peak-flow card gives US gallons per minute. Diagram labels stay in the stated SI units. Horsepower is mechanical hp.

A general 2024 Component B snapshot uses central/state fractions 0.30/0.30; special-region snapshot 0.50/0.30; general central-only snapshot 0.30/0. Larger state grants, loans, taxes and other incentives are excluded. Costs must be for the agency-approved eligible category.

Where it applies

Use for preliminary sizing of a submersible solar water supply or irrigation pump with positive static lift. The whole-day profile is conditional on sufficient borehole yield, water cover and a compatible variable-speed pump map. A failed borehole warning means the displayed design day is infeasible; the model does not silently limit flow to make the result look acceptable.

Obtain a pumping test over the intended flow and duration, sustainable abstraction advice, manufacturer curves and site-specific design-month irradiation before procurement. Linear drawdown can underpredict losses at high flow; short-term specific capacity does not prove annual recharge. Direct irrigation pressure can vary with zoning and filters; enter the worst relevant duty or model those circuits separately.

No pump-model selection, electrical string/cable/protection design, surge calculation, NPSH certification, borehole screen design or weather reliability guarantee is included. Surface suction pumps require a separate NPSH/suction-lift assessment. The night-only storage lower bound omits intra-day mismatch and cloudy-day reserve.

PM-KUSUM presets are historical rules dated 17 January 2024, not current application advice. The ordinary CFA category is capped at 7.5 HP; specified special regions have a quota-limited provision up to 15 HP. Larger pumps need an approved capped cost base. The 2024 PV limit is 1 kW per nameplate HP. Confirm all category, domestic-content, groundwater-zone and current programme conditions with the state agency. Check against the electrical rules and standards in force. Installation work belongs to a qualified person.

References

  • GIZ / FAO, Toolbox on Solar Powered Irrigation Systems (SPIS), DESIGN module (2017), sections 3–5, especially PDF p.14. https://energypedia.info/images/5/55/Design_Module.pdf
  • PVsyst SA, Pumping: Borehole Modelling, steady-state specific drawdown approximation and limitations. https://www.pvsyst.com/help/project-design/pumping-systems/pumping-system-procedure/pumping-borehole-modelling.html
  • A. Boutelhig, Y. Bakelli & A. Hadj Arab (2008), Study and implementation of a stand-alone photovoltaic water pumping system in desert region, CICME'08, pp.95–100; worked energy/array example p.99. https://www.cder.dz/download/cicme08_10.pdf
  • J. M. Cimbala, Penn State (February 2005), EES Solution for Example Problem – Major and Minor Losses in a Piping System, pp.1–2. https://www.me.psu.edu/cimbala/me320web_Fall_2012/pdf/EES_Solution_Minor_losses_example_problem.pdf
  • MNRE, Comprehensive Guidelines for implementation of PM-KUSUM Scheme, 17 January 2024, Component B, §§5.1, 5.2.2 and 5.3.1, printed pp.7–10 (attached pp.8–11), official UPNEDA copy. https://upnedakusumc2.in/assets/Policy/Policy2.pdf

Inputs

InputSymbolUnitDefault
Water demand basisdemand_modeDaily pumped volume
Required daily pumped volume
Water delivered each design day, before the sizing allowance.
V_daym^350
Irrigated field area
10,000 m² = 1 hectare; 4,046.86 m² = 1 acre.
A_fieldm^210000
Net daily irrigation depth
Crop requirement after effective rainfall; use a local agronomic water balance.
d_netmm5
Irrigation application efficiency
Fraction: 0.90 means 90%; includes distribution/application losses.
eta_irrig0.9
Daily water sizing factor
1.10 sizes for 10% more water. This is a design allowance, not permission to over-abstract.
water_allow1.1
Design-month peak sun hours
Daily plane-of-array irradiation divided by 1 kW/m². Use the critical design month, not annual sunshine duration.
H_sunh5.5
Daylight pumping window
Sun profile is a half-sine centred on solar noon. The integral equals the entered peak sun hours.
D_sunh12
PV field output factor
Fraction remaining after module temperature, dirt, wiring and mismatch. Controller losses are separate.
pv_derate0.8
Controller efficiency
PV DC input to motor electrical input; includes inverter if used. Assumed constant over the day.
eta_ctrl0.95
Motor efficiency
Electrical input to shaft power; use manufacturer data for the duty.
eta_motor0.85
Pump hydraulic efficiency
Shaft to water power. Constant efficiency is a screening assumption; verify the pump map.
eta_pump0.55
Static water depth below ground
Use the lowest expected seasonal standing water level.
H_staticm30
Pumping-test flow
Stabilized test rate; you can type US units such as 35.2231 gal/min. Drawdown is scaled linearly from this rate; higher rates need test evidence.
Q_testm^3/h8
Measured drawdown at test flow
Fall below the static water level during the stabilized test, not depth below ground. Zero represents a constant-level source.
s_testm8
Verified sustainable pumping rate
Hydrogeologist-approved rate for the intended duration/season. It is checked against peak hourly flow.
Q_safem^3/h10
Pump intake depth below ground
Used for submergence and pipe-length checks; pump setting depth is not the static lift.
z_pumpm60
Borehole total depth
Pump intake must be above the bottom; screen and sediment clearances need site-specific design.
z_borem80
Required intake submergence
Manufacturer's minimum water cover above the intake. Default 3 m is an assumption, not a universal rule.
s_minm3
Delivery elevation above ground
Tank maximum water level for submerged entry, or outlet elevation for a free jet.
z_deliverym5
Required outlet gauge pressure
Zero for an open tank. Add only pressure supplied by this pump; a separate irrigation booster is separate.
p_deliverykPa0
Pipe inside diameter
Actual internal diameter throughout the equivalent single pipe, not nominal size.
D_pipemm50
Total delivery pipe length
Include the rising main and horizontal run. Set zero only for an ideal-head benchmark.
L_totalm120
Absolute pipe roughness
Default is an illustrative smooth plastic pipe. Use material/age-specific data.
epsilonmm0.0015
Total minor-loss coefficient ΣK
All fittings, valves, entrance and exit, based on this diameter. Include K≈1 for discharge into a large tank.
K_total5.5
Water density
Nominal fresh water at about 20 °C. Use fluid properties at the operating temperature.
rhokg/m^3998.2
Water dynamic viscosity
Nominal fresh water at about 20 °C; use the same temperature as density.
mumPa*s1.002
Solar time — play the pumping day
Solar noon is 12 h; clock time may differ. The well follows a quasi-steady drawdown response.
solar_hourh12
Historical subsidy snapshot
17 January 2024 Component B rules only. This does not establish current availability or eligibility.
schemeNo subsidy estimate
Approved tender system cost (INR)
Rupees. Use the approved cost for the eligible pump category; includes the complete sanctioned system.
cost_tender300000
Applicable benchmark cost (INR)
Rupees. Enter the current approved category benchmark yourself. No tariff or market price is assumed.
cost_benchmark300000
Proposed pump nameplate power
Mechanical horsepower from the actual proposed pump nameplate, not the computed minimum duty. Used only to screen the 2024 PV-per-HP limit.
scheme_hphp5

Results

With the default inputs above, the calc gives:

ResultValue
PV array nameplate3.245 kW
Peak pumping rate6.853 m³/h
Peak pumping rate — US gallons/min30.171 gal/min
Total head at peak flow44.55 m
Minimum peak shaft power1.509 kW
Peak shaft power — alternate unit2.024 hp
Peak motor electrical input1.776 kW
Modelled daily water delivery55 m³
Deepest pumping water level36.853 m
Intake submergence reserve20.147 m
Borehole assessmentEntered borehole limits satisfied
Daily motor electrical energy13.564 kWh
Night-only storage lower bound25 m³
Optional historical subsidy estimateSelect a dated preset to estimate historical subsidy shares.

Checked against sources

Each case below was calculated by this calc and agrees with the value from its source (within the tolerance where one is shown).

CDER 2008: 50 m³/day at 40 m, 45% motor–pump efficiency

Source: Boutelhig, Bakelli & Hadj Arab, CICME'08 (2008), printed p.99 / attached p.5. Published electric energy 12111.12 Wh and minimum PV 2162.698 W use ρg/3600 = 2.725 Wh/(m³·m). This tool keeps g=9.80665 rather than adjusting it to the rounded coefficient (0.034% difference). Ideal fixed 40 m head, no pipe/drawdown losses. The paper's W/day wording is dimensionally wrong; its arithmetic is energy in Wh per day. https://www.cder.dz/download/cicme08_10.pdf

Inputs: Daily water sizing factor = 1; Static water depth below ground = 40 m; Delivery elevation above ground = 0 m; Measured drawdown at test flow = 0 m; Total delivery pipe length = 0 m; Total minor-loss coefficient ΣK = 0; Water density = 1,000 kg/m³; Pump hydraulic efficiency = 0.6; Motor efficiency = 0.75; Controller efficiency = 1; Design-month peak sun hours = 7 h; the others as above.

ResultSourceThis calc
Daily hydraulic energy5.45 ± 0.006 kWh5.448 kWh
Daily motor electrical energy12.111 ± 0.013 kWh12.107 kWh
PV array nameplate2.163 ± 0.0025 kW2.162 kW

Penn State: 35 m loss at the published 2.117 L/s

Source: J. M. Cimbala, Penn State (February 2005), EES Solution for Example Problem – Major and Minor Losses in a Piping System, attached p.2. Uses the published rounded flow 0.002117 m³/s, ε/D=0.004, ΣK=13.35. Tolerances allow the rounded flow and friction factor. https://www.me.psu.edu/cimbala/me320web_Fall_2012/pdf/EES_Solution_Minor_losses_example_problem.pdf

Inputs: Pumping-test flow = 7.621 m³/h; Pipe inside diameter = 25 mm; Total delivery pipe length = 20 m; Absolute pipe roughness = 0.1 mm; Total minor-loss coefficient ΣK = 13.35; Water density = 998 kg/m³; Water dynamic viscosity = 1 mPa·s; Static water depth below ground = 2 m; Pump intake depth below ground = 10 m; Borehole total depth = 30 m; Delivery elevation above ground = 0 m; Measured drawdown at test flow = 0 m; the others as above.

ResultSourceThis calc
Reynolds number at test flow107,627 ± 108107,602
Darcy factor at test flow0.02943 ± 3 × 10⁻⁵0.02943
Pipe and fitting loss at test flow35 ± 0.035 m34.985 m

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