# NmgSFB: Nomogram of a photovoltaic pumping system In solaR: Radiation and Photovoltaic Systems

## Description

This function simulate the performance of a water pump fed by a frequency converter with several PV generators of different size during a day. The result is plotted as a nomogram which relates the nominal power of the PV generator, the total water flow and the total manometric head.

## Usage

 1 2 3 4 NmgPVPS(pump, Pg, H, Gd, Ta = 30, lambda = 0.0045, TONC = 47, eta = 0.95, Gmax = 1200, t0 = 6, Nm = 6, title = '', theme = custom.theme.2()) 

## Arguments

 pump A list extracted from pumpCoef Pg Sequence of values of the nominal power of the PV generator (Wp)) H Sequence of values of the total manometric head (m) Gd Global irradiation incident on the generator (Wh/m²) Ta Ambient temperature (^{\circ}{\rm C}). lambda Power losses factor due to temperature TONC Nominal operational cell temperature (^{\circ}{\rm C}). eta Average efficiency of the frequency converter Gmax Maximum value of irradiance (parameter of the IEC 61725) t0 Hours from midday to sunset (parameter of the IEC 61725) Nm Number of samples per hour title Main title of the plot. theme Theme of the lattice plot.

## Details

This function computes the irradiance profile according to the IEC 61725 "Analytical Expression for Daily Solar Profiles", which is a common reference in the official documents regarding PV pumping systems. At this version only pumps from the manufacturer Grundfos are included in pumpCoef.

## Value

 I list with the results of irradiance, power and flow of the system. D list with the results of total irradiation, electrical energy and flow for every nominal power of the generator. param list with the arguments used in the call to the function. plot trellis object containing the nomogram.

## Author(s)

Oscar Perpiñán Lamigueiro.

## References

• Abella, M. A., Lorenzo, E. y Chenlo, F.: PV water pumping systems based on standard frequency converters. Progress in Photovoltaics: Research and Applications, 11(3):179–191, 2003, ISSN 1099-159X.

• Perpiñán, O, Energía Solar Fotovoltaica, 2015. (https://oscarperpinan.github.io/esf/)

• Perpiñán, O. (2012), "solaR: Solar Radiation and Photovoltaic Systems with R", Journal of Statistical Software, 50(9), 1-32, doi: 10.18637/jss.v050.i09

fPump, prodPVPS, pumpCoef
 1 2 3 4 5 6 7 8 9 Pg = seq(4000, 8000,by = 100); H = seq(120, 150,by = 5); data(pumpCoef) CoefSP8A44 <- subset(pumpCoef, Qn == 8 & stages == 44) NmgSP8A44 <- NmgPVPS(pump = CoefSP8A44,Pg = Pg,H = H,Gd = 5000, title = 'Choice of Pump', theme = custom.theme())