Impact net metering peru version ijrer

INTERNATIONAL JOURNAL of RENEWABLE ENERGY RESEARCH
First Author et al., Vol.x, No.x, xxxx
Impact assessment of net metering for residential
photovoltaic distributed generation in Peru
David Humpire Mojonero*, Alberto Rios Villacorta**‡, Jaime Luyo Kuong***
*Faculty of Mechanical Engineering, Universidad Nacional de Ingeniería, Lima 25, Peru
** Faculty of Sytems, Electronics and Industrial Engineering, Universidad Técnica de Ambato, Postal address
*** Faculty of Mechanical Engineering, Universidad Nacional de Ingeniería, Lima 25, Peru
(dhumpirem@uni.pe, a.rios@uta.edu.ec, jluyok@uni.edu.pe)
‡
Corresponding Author; Alberto Rios Villacorta, Postal address,
Tel: +90 312 123 4567, Fax: +90 312 123 4567, a.rios@uta.edu.ec
Received: xx.xx.xxxx Accepted:xx.xx.xxxx
Abstract- The integration of distributed generation is based on legal and regulatory mechanisms which provide the technical
and economic conditions of energy exchange with the electricity distribution network. In Peru, the definition of regulatory
mechanisms and technical-economic conditions of connection of distributed generation are under discussion and development.
This paper evaluates the technical-economic impact of integration mechanism called net metering on the end-user and the
electricity distribution company (DSO), by connecting photovoltaic (PV) systems to the distribution network of the Arequipa
City. The evaluation from residential end-user, connected to the low-voltage grid and associated with tariff BT5B, it is in terms
of the installed PV power in kWp and the greater expected economic benefit, in terms of optimum values for consumption
range. The evaluation from DSO, is made based on purchase energy blocks to the wholesale market to distribute regulated
users. In addition, has been used indicators such as the self-consumption rate, coverage rate and impact about billing. The
results find that net metering provides a strong economic incentive for the installation of PV systems by the residential user of
higher energy consumption, a payback time of 6 years, considering that in the region analysed there are high level of solar
irradiation. Consequently, end-users with low energy consumption will have less incentive to become prosumers, due to the
existence of subsidized rate. The DSO would experience a reduction in the sustainability of its business, due to the injection of
energy to the distribution network with a higher price than spot market.
Keywords Distributed generation, Photovoltaic system, Incentive mechanisms, Net metering.
1. Introduction
The electricity supply is one of the key factors for
competitiveness, economic growth and productivity of a
country. Worldwide, non-conventional renewable sources are
of great interest for energy supply, mainly for diversification
of the energy matrix, technology lower prices, security of
supply and reduced environmental impact. In 2016,
electricity generation obtained from renewable sources
covered 24.5% of the final energy consumption in the world.
Renewable sources installed capacity was 2017 GW. In
2015, electricity generation from renewable sources covered
23.7% of global electricity consumption [1].
In recent years, solar photovoltaic (PV) power
generation has had high growth, reaching a global installed
capacity of 290.8 GW by 2016, equivalent to more than 10
times the existing installed PV power one decade ago. China
leads with 77.9 GW, 42.9 GW in Japan, 42.4 GW in the US,
41.1 GW in Germany, in Italy 18.9 GW, 11.5 GW in the UK,
7.1 GW in France and 5.5 GW in Spain. Currently, China,
Japan and the United States lead the increase in installed PV
power, with 34.5, 8.6 and 14.8 GW respectively. European
Germany, France, Italy and Spain countries only integrated
1.5, 0.6, 0.4 and 0.1 GW respectively last year. By 2016,
electricity generation by PV systems supplied 1.5% of global
electricity consumption. In Europe, it covered about 4% of
electricity consumption. The countries that cover a greater

percentage of their electricity demand with PV installations
are Italy, Greece and Germany, with quotas of 7.3, 7.2 and
6.4% respectively [2].
In Peru, since 2008 promotes large-scale electricity
generation by renewable energy resources (RER), as wind,
solar, geothermal, biomass and hydroelectric installations
under 20 MW [3]. The auction mechanism and priority
clearance has allowed RER electricity generation gradually
become an economically very competitive technology. At the
last auction, held in 2016, prices for renewable generation
imposed worldwide record. PV technology achieved a 78%
reduction in the price of energy offered regarding the first
auction in 2010.
In Peru, due to the absence of a regulatory framework
for the promotion of distributed generation, it has not yet
made possible the formation of a competitive market for PV
generation in the electricity distribution systems. It is
important to indicate that in Peru there are large geographic
areas with exceptional solar resources. For example, the
southern regions of Peru have a specific solar potential
higher than 2,000 kWh/kWp compared to European countries
like Germany, France, Italy and Spain, which have a lower
solar potential in the range of 900 - 1300 kWh/kWp, but
paradoxically have significant power installed in residential
PV systems [8].
Some European countries such as Germany and Spain
have a regulatory framework for incentives through tariffs
Feed in Tariff (FiT), contract up to 25 years, differentiated by
type and size of installation. In Spain until 2011, for PV
installations below 100 kWp capacity it was paid a FiT of
575% of the average rate and larger facilities at 100 kWp up
to 300% of the average rate, prompting the installation of
650 MW to 2007 and demand for connections up to 12000
MW. Later, in 2011, the FiT rates were eliminated in Spain.
Currently the Spanish government is working on the
development of net metering scheme. In Germany, the PV
self-consumption is encouraged by FiT rates to systems with
an installed capacity below 10 kW and a payment of €
0.1328 / kWh. Italy, since 2005, applied the FiT rates up to
0.208 € / kWh for installations 3 kWp, which since 2013
have been replaced by the net metering mechanism. In
California, Arizona and Hawaii, the predominant mechanism
for net metering limit for installing power 1000 kW,
associated with an average payment for photovoltaics
between 0.12 and 0.16 US$/ kWh for 20 years. In Table 1
described a comparison of the mechanisms shown in
different countries.
Fig 1. Grid connected PV system
Table 1. Incentive mechanisms distributed PV generation
Geographic
region
Incentive
Mechanism
Detail
Caribbean Barbados Net Billing [2]
Residential: Limit capacity 10 kW,
connected capacity <= 10% of peak
demand
Latin
America
Brazil Net Metering [2, 22]
Residential and commercial 75 kW,
and mini-generation 5 MW
Latin
America
Chile
Net billing and
self-consumption [15]
Limit capacity 100 kW
North
America
Mexico Net metering [11]
Residential: up to 10 kW to 500 kW
and Commercial
North
America
USA Net Metering [11]
Limit capacity of 1000 kW. There is
particular conditions by State
Europe France FiT[4,5]
kW ranges in [0-3], [3-9], [9-100],
[100-12000]
Europe Germany
FiT and self-
consumption [4,5]
kW ranges [0-40], [40-1000], [1000-
10000]
Europe Italy
FiT (Inactive),
Net metering (Active)
[4,5]
kW ranges in [0-3], [3-9], [9-100]
Europe Spain FiT - Inactive[4,5] kW Ranges [<100], [> 100]
This article focuses on assessing the impact of net
metering as an incentive mechanism for the integration of PV
systems for end-users, connected to the low voltage grid with
rate BT5B- Flat Rate Price; also the analysis of the price of
energy injected into the grid, considering the sale of the
whole volume of energy produced under the scheme shown
in Fig. 1.
Due to the rapid decrease in photovoltaic technology
costs, FiT mechanisms are being re-evaluated and
reformulated. Several countries are in a transition towards
the net metering like promotion mechanism. In this study for
Peru, net metering is considered as an incentive to distributed
photovoltaic generation.
The Fig. 2 shows the stages of the analysis developed.
Fig. 2 Scheme of Methodology

2. RER distributed generation promotion mechanism
The integration of RER distributed generation,
particularly PV systems are based on the implementation of
FiT mechanisms applied mainly in Germany, France and
Spain, representing 60% of the market by 2012. Self-
consumption mechanisms and net metering represent 14%
applied in Italy and in different states of the USA. More
modern mechanisms as net billing are applied in Chile and
Japan. In addition to incentives such as capital grants, tax
reduction and renewable portfolios- RPS standard [4, 8, 22].
In [4, 5] presents benchmarking promotion mechanisms
as the FiT in France, Germany, Greece, Italy and Spain
relative to net metering, based on indicators payback and
VPN of photovoltaic projects. In [6] FiT rates and evaluates
the importance of evolution in the European market. The
mathematical formulation of various forms of net metering is
presented in [7], indicating that Spain had high rates FIT
development that promoted the photovoltaic market in
residential installations. The effects of net metering under the
perspective of the grid and impact assessment on the costs of
recovery infrastructure and cross-subsidies between users
explained in [8]. In [9, 19] is performed a comparison of net
metering and FiT schemes established in Cyprus with tariff
Time of Use-TOU. In [10] FiT performs comparison, net
metering and net purchase and sale, based microeconomic
models, showing that if the retail price of photovoltaics has
the same purchasing value of the network, the mechanisms
do not vary. In [11] evaluates the net metering focusing on
saving billing of California users. Optimization models
installed capacity of photovoltaic system of prosumer under
FiT rates are evaluated in [12, 13, 14] with the aim of
reducing costs throughout the lifetime of the system using
the VPN indicator, besides considering the environmental
aspect function. In [20] is performed the technical and
economical optimization using the HOMER software. In [21]
is performed the effect of the deployment of distributed PV
generation penetration due to the lower purchase of energy
from the PJM wholesale electricity market. Different net
metering models in India are explained in [23], in function to
the customer and the PV technology. In [15, 16] the
mechanism net metering and net billing is explored in the
residential sector in Chile. It is demonstrated that due to the
abundant solar resource in the north of the country,
photovoltaic projects are economically attractive without
government subsidies
3. Methodology
The methodology of this article is organized as follow:
Energy performance model of the PV system
The energy performance ratio- PR, which expresses the
ratio of the real energy efficiency with respect to energy
efficiency theoretically possible, independently of the
orientation of the PV installation [17], is represented using
the following formula:
(1)
Where is the energy produced with the
installed power, is the global
horizontal irradiance, is the irradiation
measured under standard conditions.
Then energy production corresponds:
(2)
The PVWatts model by NREL (National Renewable
Energy Laboratory) estimates the value of Performance Ratio
of PV systems connected to the network considering various
factors. Key factors include: the efficiency of the
photovoltaic inverter DC/AC, the level of losses in the
wiring and environmental conditions. In Table 2 the
parameters and factors for calculating energy production in
this study are shown.
Table 2. Technical parameters
Performance Ratio (%) PR 85.0
Conductivity wires efficiency (%) ncc 97.0
Inverter efficiency (%) ninv 95.0
Lost by environmental conditions (%) np 5.0
Annual degradation rate (%) d 1.0
Analysis period (years) T 20
Scheme net metering model
Based on the model proposed in [15], the net metering
scheme compensates the energy injected to the same
economic value than the energy consumed. It is considered
that under this scheme the user intends to generate the same
amount of energy (Net zero energy is building with a balance
zero between demand and production energy) [18] and the
optimal installed PV power intended to minimize the
deviation between the generated energy and demanded at
each instant of time, t. Fig. 3
(3)
Where is energy consumed without PV
project.
If an error of 0 is defined, then the size of the system is
defined by:
(4)
Where is equivalent peak sun hours
measurement standard conditions. And , equivalent
sunshine hours.

Fig. 3 Typical profiles of electricity consumption and PV
production.
The benefits under this scheme, depending on the
weighting factor k is expressed as follows.
(5)
(6)
Where is the retail price of photovoltaics
and is the energy price for the end user.
If it included in the analysis, calculating the residential
integration PV rate, depending on the k factor, defined as the
minimum expected rate energy user, enabling it to profit.
(7)
Where is the annuity factor investment,
the investment cost of the photovoltaic system,
is the integration PV rate, is
energy purchased from the network and energy
sold to the grid.
The proposed model presents the impact evaluation of
the integration of PV systems on the distribution company,
considering the sale price of PV energy to the grid and
comparing it with the energy purchase value of the
distributor to the wholesale market to supply its customers
[10].
(8)
Where is the energy price in the wholesale
market.
The following indicators for comparison of distributed
PV generation projects are defined.
 Self-consumption rate: Represents the ratio of
energy produced and consumed instantaneously between
total generation.
(9)
 Coverage rate: Represents the relationship between
the energy generated and consumed in the base case or
without project.
(10)
 Payback time: Years of economic recovery of the
initial investment in the project.
(11)
 Billing rate Impact: Ratio of economic impact to the
distributor by energy billing without project.
(12)
Supply and demand energy data of the case study
For this work, the study is focused in the Arequipa
region, located in the south of Peru. Solar resource
information is estimated according to information from the
NASA-SolarGis database. It is also considered that the
installation has an optimum tilt angle in the cover housing.
The specific production of PV generation is 2300 kWh/kWp.
Fig. 4
Fig.4 Photovoltaic Generation Potential Estimated in Peru.
Source: Solar resource database and photovoltaic simulation
software 2016 Solargis.
The power consumption profile characteristic is
extracted from the load market studies analysed and shown
in terms of the relationship between the instantaneous
demand and peak demand, Fig. 5.

Fig. 5 Energy demand profiles p.u. (Pinstataneous/Pmax).
Source: Estudios de Caracterización de Carga – SEAL ST2
2013.
Table 3 shows typical monthly consumption, depending
on the range of consumption. The high consumption users,
more than 150 kWh/month, have a higher load factor 0.59
and low consumption less than 150 kWh/month, it is
estimated with a load factor of 0.37.
Table 3. Energy consumption data by consumer range
Consumption range
kW.h/month
Average consumption
kW.h/month
< 1 : 30> 11.7
< 31 : 100> 70.9
< 101 : 150 > 119.0
< 151 : 300 > 192.3
< 301 : 500 > 350.2
< 501 : 750 > 566.5
< 751 : 1000 > 834.3
In Peru, the electricity rates for residential end-user are
constant in the day - flat rate price- and reflect the added cost
of generation, transmission and distribution of electricity.
Fund for Electricity Social Compensation (FOSE) in Peru is
a cross-subsidy between residential users, which allows the
reduction rate in users with consumption less than 100
kWh/month, financed by an increase in the rate of users with
consumption more than 100 kWh/month. Table 4 shows
energy prices to end users and without involvement of
FOSE.
Table 4. Rates range consumption in US$/kWh
<0:30>
kWh / month
<31: 100>
kWh / month
> 100
kWh / month
Without
FOSE
0.119 0.147 0.163 0.158
4. Results
In this section, are shown the results of evaluation of the
introduction of net metering mechanism as an incentive to
promote residential PV distributed generation. The analysis
are presented in Arequipa city, a representative city in
southern Peru because of its high level of solar irradiation.
Fig. 6 Optimal installed PV power and P/B for consumption range
Fig. 7 Impact of installed PV power. End-user consumption <100-150> kWh/month

In Fig. 6, it has been considered the cost of current
investment in PV systems 2210 US$/kWp and the projected
cost 2020 1800 US$/kWp. It is shown that the installation of
PV systems, due to the effect FOSE, presented reduced
economic benefits for users of lower consumption.
Residential users, with less than 30 kWh/month
consumption, require a facility with a capacity below urged
0.1 kWp with a payback (P/B) between 7 and 9 years.
Residential users with consumption in the range of 30 to 100
kW.h/month, with optimum 0.42 kWp photovoltaic system
recover their investment between 6 and 7.5 years. Residential
users with more than 100 kWh/month consumption have a
lower P/B between 6.5 and 5.3 years for photovoltaic
systems between 0.7 and 4.9 kWp, respectively. In Fig. 7
corresponds to the PV power impact to the user, in the
consumption range between 100 and 150 kW.h/month. It is
determined, depending on the installed PV power, self-
consumption rate, coverage rate and billing rate impact. For
optimal installed PV power 0.7 kWp, determined above, Fig.
6, with a coverage factor of 100%, is self-consumption rate
40% of the energy produced from the PV system, and by
default 60% of the energy produced is injected into the
electricity distribution network, causing an impact of 31.7%
of economic losses due to the injected energy has a value
above the wholesale electricity market. The decrease of the
installed PV system power, reduce the coverage rate,
increases self-consumption rate and default, it reduces the
energy injected into the network. As the installed PV power
is reduced also reduces the economic impact on the
electricity distributor, reaching zero for capacities less than
0.2 kWp.
Fig. 8 Profiles of electricity consumption and PV production
for different installed power.
Fig. 8 shows the matching of supply and demand curves.
The high value of the indicator of self-consumption rate and
low coverage rates for PV systems of small power up to 0.3
kWp, is explained by the reduced value of the installed PV
system power relative to demand. PV production tends to be
locally consumed and reduce injection solar energy to the
network, a default lower energy demand user.
For residential user, described in the preceding
paragraph, and optimal installed PV power of 0.7 kWp,
annual balance of PV energy production and energy
consumption is 0, because defined a coverage rate of 100%.
For the months of highest irradiation, October to march,
production is greater than consumption, otherwise the
months from April to August. It demonstrated that a period
of annual analysis on net metering allows adequately
compensate the production and consumption of electricity,
Fig. 9
Fig. 9 Consumption vs. Production PV monthly - 'Net
Energy Zero Building'
Indicator assessment impact on billing for optimal
capacity of residential users, with less than 30 kWh/month
consumption, has a value of 43.5%. Residential users with
consumption between 30 and 100 kWh/month, 35.3% and
impact users with increased consumption to 100 kWh /
month at 30.5%. Table 5. As demonstrated in Figure 7, lower
installed PV power reduces the impact on the electricity
distributor.
Table 5. Impact on the DSO of PV energy system injection
with optimum capacity.
Consumption range,
kW.h/month
ImpactDSO/Billing S/P
(%)
< 1 : 30> 43.5
< 31 : 100> 35.3
< 101 : 150 > 31.7
< 151 : 300 > 30.5
< 301 : 500 > 30.5
< 501 : 750 > 30.5
< 751 : 1000 > 30.5
With the result values of Table 5; 35% on average, and
under the unlikely event that there is a penetration of PV
distributed generation 10% of the total market demand, the
impact of economic losses distributor be estimated 3.5%
. The market has analysed a total
demand of 3,000 GWh/year, which means that 10%
penetration of distributed PV generation is the installation of
about 130 MWp Roof Mounted PV System. An unlikely
scenario, which would involve an impact lower 3.5% on
DSO.
Reducing the impact on the distribution company,
according to equation (9) requires the selling price of PV
energy tends to balance the wholesale market price .
Reducing the impact on the distributor, in turn, reduces the
incentive to residential users to install PV systems.

In Fig. 10, under a mechanism net billing a factor k <1,
in which the whole volume of PV energy is sold, according
to equation (5) the value , the economic viability of
the installation PV systems through a residential integration
PV rate for each value k, defined as the estimated value of
the minimum rate for a project to be economically attractive
for prosumers.
For an investment cost of 2210 US$/kWp, it is observed
that the net billing mechanism, with k = 1 factor - equivalent
to net metering - is attractive for users with greater than 30
kWh/month consumption. Reduction k factor reduces user
benefits. Only users with more than 100 kWh/month
consumption may recover the investment, up to a factor k
equal to 0.9. For an investment cost of 1800 US$/kWp, the
net metering would be suitable for all ranges of consumption.
The net billing mechanism would be feasible with k factors
between 0.8 and 0.7, for users with power consumption
between 30 and 100 kWh/month and more than 100
kWh/month, respectively. Values k factor less than 0.7 does
not produce incentives to PV distributed generation any
residential user.
Fig. 10 PV integration rate for each sale factor k.
5. Conclusions
This article has presented the assessment of the
technical-economic impact of net metering mechanism for
the particular conditions of the residential electricity market
in Peru. The application of this mechanism would result in
high economic incentive for integrating photovoltaic systems
users with increased consumption to 100 kWh/month with
installed power ranging from 0.7 to 5 kWp, which for each
range would cover all consumer energy demand annual.
FOSE effect reduces the economic incentive for users with
less than 100 kWh/month consumption; therefore, from the
perspective of promoting the integration of residential PV
systems should consider the reformulation or elimination of
this subsidy.
The continued decline in costs of photovoltaic
technology by 2020 will allow any user to integrate
residential solar home systems profitably under the net
metering mechanism. Likewise, the evaluation mechanism
net billing per total volume should be considered for
technology costs lower than 1800 US$/kWp, since it has
been shown that the mechanism of promotion net billing has
less impact on the distributor and retail user incentive would
be equated with reducing technology costs.
For electricity distribution company, the integration of
residential photovoltaic systems with installed power lower
than those calculated would be easily implemented,
considering impact per user ranges less than 35%.
In a next research, the impact of net billing scheme
promotion and self-consumption in the residential user
incentive for investment in photovoltaic systems and the
sustainability of the business chain in the electricity sector
will be evaluated
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