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IEEE-VPPC 2009
E. Karimi, V. Najmi, H. Mokhtari
Faculty of Electrical Engineering
Using Frequency Coupling Matrix for
Estimation of Distribution Network Losses
AbstractAbstract
ConclusionConclusion
Harmonic producing loads, which are
increasingly used in industries, cause power
quality problems as well as increase in
system losses. To deal with the problems
associated with harmonics and to reduce
their effects on power networks, study of the
effects of non-linear loads on distribution
networks is essential. In this paper, the non-
linear loads of residential consumers are
modeled and simulated. A typical residential
consumer and a simplified short feeder are
simulated in order to make an estimation of
the power and energy losses and their
corresponding costs. The simulations are
verified using practical measurements from
real customers.
The common method for modeling the
nonlinear characteristics of harmonic
producing loads is linearization about an
operating point. The Constant Current Source
model and Norton model have been widely
used for modeling and investigating the
behavior of nonlinear loads. These models
are not accurate enough for precise analysis
of the effects of harmonic currents on the
network. A more complex method which is
called Frequency Coupling Matrix (FCM)
model or admittance matrix model is more
accurate than the other linearization methods.
Modelling of Non-Linear LoadsModelling of Non-Linear Loads
FCM model representation of a nonlinear load
Simulation of Distribution Feeder Losses
PEDSTC2013
http://www.pedstc.org
Sharif University Technology
PEDSTC 2013
Study and investigation of distribution systems losses needs a valid and accurate model of constitutive
components. Modeling of nonlinear loads based on FCM model is used in this paper in order to model the
characteristics of the nonlinear loads in a residential customer to make an estimation of the power and
energy losses in distribution networks.
Household appliances are modeled and used to form a typical residential consumer. A small feeder with
five residential customers is considered to estimate the total power losses. The models used for nonlinear
loads are verified by experimental load measurements.
• Simulation of a Residential Consumer
Simulation has been done using the FCM model of
CFLs, PCs and Fluorescent Lamps and Norton
equivalent model of some other appliances such as
Incandescent lamp, Fan, Lap top, Vacuum, Hair drier,
Washing Machine, Refrigerator and TV.
Simulated current profile for a typical
residential load during 24 hours
Current profile of a real residential
consumer during 24 hours
The simulation results show that the proposed model
can model the behavior of a residential customer over a
24-hour period. This means that the current profile of
every residential consumer can be achieved by
changing the switching algorithm of the household
appliances. The results of the simulation currents of the
3rd, 5th and the 7th harmonics are also compared with
those of the measurement results which show a great
analogy.
• Distribution Feeder Losses
To investigate the distribution losses and their resulting
costs, a number of typical residential consumers are used
to model a small part of a distribution system. The feeder is
composed of five residential customers.
Total active Power supplied from feeder for
customers
Total active power loss of the simulated
feeder
Table I describes the estimated dissipated power and
energy and their costs based on the simulation of the
sample feeder. The base price of energy is assumed 0.8
$ per kilowatt-hour.
Average Power
Losses at 1
day(W)
Average energy
Losses at 1 day
(KWh)
Estimated energy
losses in 1 year
(KWh)
Cost of losses in
1 year) ($
280.859 6.7406 2426.6218 .1941 2974

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PEDSTC 2013_Elham Karimi

  • 1. IEEE-VPPC 2009 E. Karimi, V. Najmi, H. Mokhtari Faculty of Electrical Engineering Using Frequency Coupling Matrix for Estimation of Distribution Network Losses AbstractAbstract ConclusionConclusion Harmonic producing loads, which are increasingly used in industries, cause power quality problems as well as increase in system losses. To deal with the problems associated with harmonics and to reduce their effects on power networks, study of the effects of non-linear loads on distribution networks is essential. In this paper, the non- linear loads of residential consumers are modeled and simulated. A typical residential consumer and a simplified short feeder are simulated in order to make an estimation of the power and energy losses and their corresponding costs. The simulations are verified using practical measurements from real customers. The common method for modeling the nonlinear characteristics of harmonic producing loads is linearization about an operating point. The Constant Current Source model and Norton model have been widely used for modeling and investigating the behavior of nonlinear loads. These models are not accurate enough for precise analysis of the effects of harmonic currents on the network. A more complex method which is called Frequency Coupling Matrix (FCM) model or admittance matrix model is more accurate than the other linearization methods. Modelling of Non-Linear LoadsModelling of Non-Linear Loads FCM model representation of a nonlinear load Simulation of Distribution Feeder Losses PEDSTC2013 http://www.pedstc.org Sharif University Technology PEDSTC 2013 Study and investigation of distribution systems losses needs a valid and accurate model of constitutive components. Modeling of nonlinear loads based on FCM model is used in this paper in order to model the characteristics of the nonlinear loads in a residential customer to make an estimation of the power and energy losses in distribution networks. Household appliances are modeled and used to form a typical residential consumer. A small feeder with five residential customers is considered to estimate the total power losses. The models used for nonlinear loads are verified by experimental load measurements. • Simulation of a Residential Consumer Simulation has been done using the FCM model of CFLs, PCs and Fluorescent Lamps and Norton equivalent model of some other appliances such as Incandescent lamp, Fan, Lap top, Vacuum, Hair drier, Washing Machine, Refrigerator and TV. Simulated current profile for a typical residential load during 24 hours Current profile of a real residential consumer during 24 hours The simulation results show that the proposed model can model the behavior of a residential customer over a 24-hour period. This means that the current profile of every residential consumer can be achieved by changing the switching algorithm of the household appliances. The results of the simulation currents of the 3rd, 5th and the 7th harmonics are also compared with those of the measurement results which show a great analogy. • Distribution Feeder Losses To investigate the distribution losses and their resulting costs, a number of typical residential consumers are used to model a small part of a distribution system. The feeder is composed of five residential customers. Total active Power supplied from feeder for customers Total active power loss of the simulated feeder Table I describes the estimated dissipated power and energy and their costs based on the simulation of the sample feeder. The base price of energy is assumed 0.8 $ per kilowatt-hour. Average Power Losses at 1 day(W) Average energy Losses at 1 day (KWh) Estimated energy losses in 1 year (KWh) Cost of losses in 1 year) ($ 280.859 6.7406 2426.6218 .1941 2974