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IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 09, 2014 | ISSN (online): 2321-0613
All rights reserved by www.ijsrd.com 526
Neural Network based Voltage and Frequency Controller for Standalone
Wind Power System
Nikita V. Majumdar1 Vikash Verma2
1
Student 2
Assistant Professor
1,2
Department of Electrical Engineering
1,2
PIET, Vadodara, India
Abstract— This paper deals with an artificial neural network
based control of the voltage and frequency (VF) of
autonomous wind power generation using an isolated
asynchronous generator (IAG). The proposed controller has
bidirectional active and reactive power flow capability along
with battery energy storage system by which it controls the
system voltage and frequency with variation of consumer
loads and speed of wind. The proposed system is modelled
and simulated in MATLAB using Simulink .The proposed
controller has additional capability of harmonic elimination
and load balancing and hence power quality can be
improved.
Key words: Battery energy storage system, isolated
asynchronous generator, voltage and frequency controller,
wind energy conversion system
I. INTRODUCTION
Some of the areas are remote so that it is very difficult for
those areas to access main power grid. So it is necessary to
meet the demand of remote areas. Wind is the most
prominent source of energy available. We can easily exploit
by using asynchronous generator .Squirrel cage induction
are low cost, robust and simple in its construction. Wind
speed and load are varying, so in order to maintain voltage
and frequency here employing a voltage and frequency
controller for standalone wind power generating systems.
The proposed voltage and frequency controller is
having bidirectional active and reactive power flow
capability by which it controls the system voltage and
frequency with variation of consumer loads and wind .It has
additional capability of harmonic elimination and load
balancing .The performance is demonstrated using standard
MATLAB software
II. SYSTEM CONFIGURATION
The complete off grid stand-alone system with
asynchronous generator, wind turbine, excitation capacitor,
balanced/unbalanced, linear/non-linear/dynamic consumer
loads and proposed controller is shown in Fig.1. The
proposed controller includes three-phase insulated gate
bipolar junction transistor (IGBT) based voltage source
converter (VSC) along with a battery at its dc link. The
controller is connected at the point of common coupling
(PCC) through the inter-facing inductor. The excitation
capacitor is selected to generate the rated voltage at no-load
while additional demand of reactive power is met by the
controller.
Fig. 1: Schematic diagram of the proposed isolated wind
energy system
III. CONTROL SCHEME
Fig. 2 demonstrates the control strategy of the proposed
controller which is based on the generation of reference
source currents .A new ANN based technique for VFC is
proposed for IAG in isolated wind power generation.
The adaptive linear neuron (ADALINE) based
controller is used for on-line estimation of reference
generator currents. For extracting the three-phase reference
generator currents, least mean square (LMS) algorithm
based ADALINE is used, which is a fast and efficient
method of current extraction. The reference generator
currents are composed of the fundamental real power
component (referring to the active power component) and
the fundamental reactive power component (referring to the
reactive power component). Three ADALINEs are used to
extract the weight of three phase fundamental frequency real
power component of load currents. The other three
ADALINEs are used to extract the weight of three
fundamental frequency reactive power components of load
currents.
The LMS algorithm with on-line calculation of
weights is used for VFC under perturbations of loads and
wind speed. The in-phase and quadrature phase templates of
the synchronized signals are estimated using sensed and
filtered line voltages. The frequency proportional integral
(PI) controller adjusts the weight of in-phase component of
the three-phase generator currents, while the voltage PI
controller adjusts the weight of quadrature component of the
generator currents.
Neural Network based Voltage and Frequency Controller for Standalone Wind Power System
(IJSRD/Vol. 2/Issue 09/2014/118)
All rights reserved by www.ijsrd.com 527
Fig. 2: Basic diagram of control scheme
IV. MODELING OF THE CONTROL SCHEME
The basic equations used in the control algorithm of VFC
are given below:
A. Computation of Phase Voltages:
The line voltages vab and vbc are sensed at point of common
coupling (PCC) and phase voltages va, vb and vc are
computed as
[
𝑣 𝑎
𝑣 𝑏
𝑣𝑐
] =
1
3
[
2 1
−1 1
−1 −2
] [
𝑣 𝑎𝑏
𝑣 𝑏𝑐
] (4.1)
B. Computation of In-phase and Quadrature Unit
Templates
The in-phase unit templates are derived using amplitude of
voltage Vt at PCC and instantaneous phase voltages as
follows:
𝑉𝑡 = √
2(𝑣 𝑎
2 + 𝑣 𝑏
2
+ 𝑣𝑐
2)
3
(4.2)
𝑢 𝑎𝑝 = 𝑣 𝑎 𝑉𝑡⁄ ;
𝑢 𝑏𝑝 = 𝑣 𝑏 𝑉𝑡⁄ ;
𝑢 𝑐𝑝 = 𝑣𝑐 𝑉𝑡⁄ (4.3)
Moreover, the quadrature unit templates are
computed As
𝑢 𝑎𝑞 = (−𝑢 𝑏𝑝 + 𝑢 𝑐𝑝)/√3 (4.4)
𝑢 𝑎𝑞 = (𝑢 𝑏𝑝√3 + 𝑢 𝑏𝑝 − 𝑢 𝑐𝑝)/2√3 (4.5)
𝑢 𝑐𝑞 = (−𝑢 𝑎𝑝√3 + 𝑢 𝑏𝑝 − 𝑢 𝑐𝑝)/2√3 (4.6)
C. Extraction of Weights for Fundamental Active Power
Component of Load Currents
The extraction of weights of fundamental active power
component of the load currents is based on LMS algorithm
and its training through ADALINE, which tracks the in-
phase unit template to maintain minimum error. The weight
of active component of the individual phase load current is
estimated using LMS adoption algorithm. The estimation of
weight is given as
𝑊𝑎𝑝(𝑛) = 𝑊𝑎𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑎(𝑛) 𝑊𝑎𝑝(𝑛 −
1)𝑢 𝑎𝑝(𝑛)}𝑢 𝑎𝑝(𝑛) (4.7)
𝑊𝑏𝑝(𝑛) = 𝑊𝑎𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑏𝑝(𝑛 −
1)𝑢 𝑝(𝑛)}𝑢 𝑏𝑝(𝑛) (4.8)
𝑊𝑐𝑝(𝑛) = 𝑊𝑐𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑐𝑝(𝑛 −
1) 𝑢 𝑐𝑝(𝑛)}𝑢 𝑐𝑝(𝑛) (4.9)
η is the convergence factor and it decides the rate
of convergence and accuracy of estimation. The practical
range varies between 0.001 and 1.0. Higher value of η
increases the rate of convergence, but at the same time it
leads to inaccurate results, whereas low value of η leads to
accurate results with slow rate of convergence. The best
trade-off value of η is observed in accuracy and rate of
convergence at 0.01.
D. Extraction of Weights for Fundamental Reactive Power
Component of Load Currents
The extraction of weights of fundamental reactive power
component of the load currents is based on LMS algorithm
and its training through ADALINE, which tracks the
quadrature template to maintain minimum error. The
estimation of weight is given as
𝑊_𝑎𝑞 (𝑛) = 𝑊_𝑎𝑞 (𝑛 − 1) + 𝜂{𝑖_𝐿𝑎 ┤ (𝑛) − 𝑊_𝑎𝑞 (𝑛 −
1) 𝑢_𝑎𝑞 (𝑛)}𝑢_𝑎𝑞 (𝑛) (4.10)
𝑊𝑏𝑞(𝑛) = 𝑊𝑎𝑞(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛)
− 𝑊𝑏𝑞(−1)𝑢 𝑏𝑞(𝑛)}𝑢 𝑏𝑞(𝑛) (4.11)
𝑊𝑐𝑞(𝑛) = 𝑊𝑐𝑞(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) −
𝑊𝑐𝑞(−1)𝑢 𝑐𝑞(𝑛)} 𝑢 𝑐𝑞(𝑛) (4.12)
E. Estimation of Fundamental Active Power Component of
Reference Generator Currents
The sum of instantaneous weight of the fundamental active
power component of the load currents is subtracted from the
output of the frequency PI controller to estimate the average
weight of the fundamental reference active power
component of the generator currents. The frequency error is
given as
𝑓𝑒(𝑛) = 𝑓𝑟𝑓(𝑛) − 𝑓(𝑛) (4.13)
Where frf is the reference frequency (i.e. 50 Hz in
this case) and “f” is the frequency of the terminal voltage of
an IAG. The instantaneous value of “f” is estimated as
shown in Equation (5). The instantaneous frequency
depends on wind turbine speed; however, this turbine speed
is based on the instantaneous wind speed and the
instantaneous active load present on the generator.
Therefore, the output of the frequency controller is based on
the requirement of necessary weight of active power
component of the generator current for maintaining the
system frequency constant. At the nth sampling instant, the
output of the frequency PI controller is given as
Neural Network based Voltage and Frequency Controller for Standalone Wind Power System
(IJSRD/Vol. 2/Issue 09/2014/118)
All rights reserved by www.ijsrd.com 528
𝑊𝑓𝑝(𝑛) = 𝑊𝑓𝑝(𝑛 − 1) + 𝑘 𝑝𝑓{𝑓𝑒(𝑛)
− 𝑓𝑒(𝑛 − 1)}+𝑘𝑖𝑓 𝑓𝑒(𝑛)} (4.14)
Therefore, the average weight for fundamental
active power component of the reference generator current
is given as
𝑊𝑝(𝑛) = 𝑊𝑓𝑝(𝑛) − 𝑊𝐿𝑝(𝑛) (4.15)
These three-phase fundamental active power
components of the reference generator currents are
computed as
𝑖 𝑔𝑎𝑝
∗
= 𝑊𝑝 𝑢 𝑎𝑝,
𝑖 𝑔𝑏𝑝
∗
= 𝑊𝑝 𝑢 𝑏𝑝
𝑖 𝑔𝑐𝑝
∗
= 𝑊𝑝 𝑢 𝑐𝑝 (4.16)
F. Estimation of Fundamental Reactive Power Component
of Reference Generator Currents
The instantaneous weight sum for the fundamental reactive
power component of the load currents is subtracted from the
voltage PI controller output to estimate the average weight
of the fundamental reactive power component of the
reference generator currents. The ac voltage error at the nth
𝑉𝑒(𝑛) = 𝑉𝑡𝑟(𝑛) − 𝑉𝑡(𝑛) (4.17)
Where Vtr(n) is the amplitude of the reference ac
terminal phase voltage and Vt(n) is the amplitude of the
sensed three-phase ac voltage at PCC and is computed as
given in Equation (2). The output of the voltage PI
controller is intended to maintain a constant ac terminal
voltage. The terminal voltage is a function of the reactive
power. Therefore, to regulate the voltage, the output of
voltage PI controller in terms of weight of reactive power
component of the generator currents at the nth sampling
instant is expressed as
𝑊𝑞𝑣(𝑛) = 𝑊𝑣𝑞(𝑛 − 1) + 𝑘 𝑝𝑓{𝑉𝑒(𝑛) − 𝑉𝑒(𝑛 −
1)}+𝑘 𝑝𝑖 𝑉𝑒(𝑛)} (4.18)
Where kpa and kpi are the proportional and integral
gain constants of the PI controller, respectively. Ve and
Ve(n−1) are the voltage errors in the nth and (n − 1)th
sampling instant and Wqv(n) and Wqv(n − 1) are the weights
of output of voltage PI controller in the nth and (n − 1)th
instant needed for voltage control.
Therefore, the average weight of fundamental
reactive power component of the reference generator current
is given as
𝑊𝑞(𝑛) = 𝑊𝑞𝑣(𝑛) − 𝑊𝐿𝑞(𝑛) (4.19)
Three-phase fundamental reactive power components of the
reference generator currents are given as
𝑖 𝑔𝑎𝑞
∗
= 𝑊𝑞 𝑢 𝑎𝑞, (4.20)
𝑖 𝑔𝑏𝑞
∗
= 𝑊𝑞 𝑢 𝑏𝑞 (4.21)
𝑖 𝑔𝑐𝑞
∗
= 𝑊𝑞 𝑢 𝑐𝑞 (4.22)
G. Estimation of Fundamental Reference Generator
Currents
Three-phase fundamental reference generator currents are
estimated for each phase as the vector sum of individual
phase fundamental reference active power component of the
generator current and fundamental reference reactive power
component of the generator current as follows:
𝑖 𝑔𝑎
∗
= 𝑖 𝑔𝑎𝑝 + 𝑖 𝑔𝑎𝑞 (4.23)
𝑖 𝑔𝑏
∗
= 𝑖 𝑔𝑏𝑝 + 𝑖 𝑔𝑏𝑞 (4.24)
𝑖 𝑔𝑐
∗
= 𝑖 𝑔𝑐𝑝 + 𝑖 𝑔𝑐𝑞 (4.23)
V. SIMULATION AND RESULTS
The proposed ANN based VFC along with fixed pitch wind
turbine driven IAG is tested with balanced/ unbalanced
linear/nonlinear three-phase four-wire loads. The
performance of VFC is presented under dynamic conditions
to validate the control algorithm. The suitability of the
control algorithm is shown by demonstrating the ANN
based control variables’ variations under no-load,
unbalanced nonlinear loads and balanced nonlinear load
conditions. In addition, the performance of VFC is tested
with lagging power factor (pf) loads. The reactive power
demand of the load as well as IAG is supplied by VSC of
VFC. Model with voltage and frequency control is modelled
using MATLAB for linear unbalanced loads. The results are
given below and we can see distortion is very much reduced.
Fig. 3: isolated wind energy system
A. Performance of the Controller Feeding Linear loads
Similarly Fig. 4 Demonstrates the performance of the
controller with 0.8 pf lagging reactive loads (balanced and
unbalanced respectively) at fixed wind speed At 1 s load is
given and at 1.2 s one phase of the load are opened and the
load becomes unbalanced but voltage and current at the
generator terminals remain balanced
Neural Network based Voltage and Frequency Controller for Standalone Wind Power System
(IJSRD/Vol. 2/Issue 09/2014/118)
All rights reserved by www.ijsrd.com 529
Fig. 4: Performance of VFC controller with static load
B. Performance of the Controller Feeding Nonlinear loads
Fig.5 demonstrates the performance of the controller with
nonlinear load at fixed wind speed. A three-phase rectifier
load with resistive element is applied and the generator
terminal with minimal harmonic distortion which show the
load balancing aspects of the controller. At 0.95 s one phase
and later on at 1.1 s another phase of the load are opened
and the load becomes unbalanced but voltage and current at
the generator terminals remain balanced.
Fig. 5: Performance of VFC controller with Nonlinear load
VI. CONCLUSION
A new control algorithm for the voltage and frequency
control of IAG has been presented in isolated WECS. It has
been shown that a three-leg integrated VSC with a BESS is
one of the best alternatives for VFC in constant speed IAG
driven IWECS. The simplicity and inherited linearity of the
control are some of the salient features of the new algorithm
for VFC.
. ACKNOWLEDGMENT
Success of any work depends upon the dedication, sincerity
and hard work. It also requires some ingredients such as
motivation, guidance, encouragement and time.
For that, I would like to say thanks ,work related to
“A Simulation of 3 levels and 5 levels Diode clamp (NPC)
inverter and its comparison”, to Asst. Prof. Vikash Verma,
Asst. Prof, Electrical Engineering Dept.,Parul Institute of
Engineering & Technology, who helped me for the
successful completion of this Research work and for
providing valuable guidance throughout the work.
REFERENCES
[1] IEEE Transaction, T. Ahmed, o. Noro, k. Matzuo,
y. Shindo, and m. Nakaoka, “Minimum Excitation
Capacitance Requirements For Wind Turbine
Coupled Stand-Alone Self-Excited Induction
Generator With Voltage Regulation Based On
Svc,”., pp. 396 – 403, oct. 2003.
[2] IEEE Transaction on Industry Applications, F.A.
Farret, B. Palle, M.G. Simoes “State Space
Modeling Of Parallel Self-Excited Induction
Generators For Wind Farm Simulation”, , vol. 41,
no. 4, July/August 2005.
[3] IEEE Confernce, .A. Kishore, and G. S. Kumar, “A
Generalized State-Space Modeling Of Three Phase
Self-Excited Induction Generator For Dynamic
Characteristics And Analysis,” In Proc., pp. 1 – 6,
May 2006.
[4] IEEE Conf. ICIT, G. S. Kumar and A. Kishore,
“Dynamic Analysis And Control Of Output
Voltage Of A Wind Turbine Driven Isolated
Induction Generator”, in,2006, pp. 494-499
[5] Ieee Pes Gm , K. Trinadha And Ashwani Kumar,
“Performance Of Wind Driven Induction Generator
Under Balanced/Unbalanced Load And
Excitation”, , 2011
[6] Matlab / Simulink Sim Power Systems
Documentation http://www.mathworks.com

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Neural Network Based Voltage and Frequency Controller for standalone Wind Power System

  • 1. IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 09, 2014 | ISSN (online): 2321-0613 All rights reserved by www.ijsrd.com 526 Neural Network based Voltage and Frequency Controller for Standalone Wind Power System Nikita V. Majumdar1 Vikash Verma2 1 Student 2 Assistant Professor 1,2 Department of Electrical Engineering 1,2 PIET, Vadodara, India Abstract— This paper deals with an artificial neural network based control of the voltage and frequency (VF) of autonomous wind power generation using an isolated asynchronous generator (IAG). The proposed controller has bidirectional active and reactive power flow capability along with battery energy storage system by which it controls the system voltage and frequency with variation of consumer loads and speed of wind. The proposed system is modelled and simulated in MATLAB using Simulink .The proposed controller has additional capability of harmonic elimination and load balancing and hence power quality can be improved. Key words: Battery energy storage system, isolated asynchronous generator, voltage and frequency controller, wind energy conversion system I. INTRODUCTION Some of the areas are remote so that it is very difficult for those areas to access main power grid. So it is necessary to meet the demand of remote areas. Wind is the most prominent source of energy available. We can easily exploit by using asynchronous generator .Squirrel cage induction are low cost, robust and simple in its construction. Wind speed and load are varying, so in order to maintain voltage and frequency here employing a voltage and frequency controller for standalone wind power generating systems. The proposed voltage and frequency controller is having bidirectional active and reactive power flow capability by which it controls the system voltage and frequency with variation of consumer loads and wind .It has additional capability of harmonic elimination and load balancing .The performance is demonstrated using standard MATLAB software II. SYSTEM CONFIGURATION The complete off grid stand-alone system with asynchronous generator, wind turbine, excitation capacitor, balanced/unbalanced, linear/non-linear/dynamic consumer loads and proposed controller is shown in Fig.1. The proposed controller includes three-phase insulated gate bipolar junction transistor (IGBT) based voltage source converter (VSC) along with a battery at its dc link. The controller is connected at the point of common coupling (PCC) through the inter-facing inductor. The excitation capacitor is selected to generate the rated voltage at no-load while additional demand of reactive power is met by the controller. Fig. 1: Schematic diagram of the proposed isolated wind energy system III. CONTROL SCHEME Fig. 2 demonstrates the control strategy of the proposed controller which is based on the generation of reference source currents .A new ANN based technique for VFC is proposed for IAG in isolated wind power generation. The adaptive linear neuron (ADALINE) based controller is used for on-line estimation of reference generator currents. For extracting the three-phase reference generator currents, least mean square (LMS) algorithm based ADALINE is used, which is a fast and efficient method of current extraction. The reference generator currents are composed of the fundamental real power component (referring to the active power component) and the fundamental reactive power component (referring to the reactive power component). Three ADALINEs are used to extract the weight of three phase fundamental frequency real power component of load currents. The other three ADALINEs are used to extract the weight of three fundamental frequency reactive power components of load currents. The LMS algorithm with on-line calculation of weights is used for VFC under perturbations of loads and wind speed. The in-phase and quadrature phase templates of the synchronized signals are estimated using sensed and filtered line voltages. The frequency proportional integral (PI) controller adjusts the weight of in-phase component of the three-phase generator currents, while the voltage PI controller adjusts the weight of quadrature component of the generator currents.
  • 2. Neural Network based Voltage and Frequency Controller for Standalone Wind Power System (IJSRD/Vol. 2/Issue 09/2014/118) All rights reserved by www.ijsrd.com 527 Fig. 2: Basic diagram of control scheme IV. MODELING OF THE CONTROL SCHEME The basic equations used in the control algorithm of VFC are given below: A. Computation of Phase Voltages: The line voltages vab and vbc are sensed at point of common coupling (PCC) and phase voltages va, vb and vc are computed as [ 𝑣 𝑎 𝑣 𝑏 𝑣𝑐 ] = 1 3 [ 2 1 −1 1 −1 −2 ] [ 𝑣 𝑎𝑏 𝑣 𝑏𝑐 ] (4.1) B. Computation of In-phase and Quadrature Unit Templates The in-phase unit templates are derived using amplitude of voltage Vt at PCC and instantaneous phase voltages as follows: 𝑉𝑡 = √ 2(𝑣 𝑎 2 + 𝑣 𝑏 2 + 𝑣𝑐 2) 3 (4.2) 𝑢 𝑎𝑝 = 𝑣 𝑎 𝑉𝑡⁄ ; 𝑢 𝑏𝑝 = 𝑣 𝑏 𝑉𝑡⁄ ; 𝑢 𝑐𝑝 = 𝑣𝑐 𝑉𝑡⁄ (4.3) Moreover, the quadrature unit templates are computed As 𝑢 𝑎𝑞 = (−𝑢 𝑏𝑝 + 𝑢 𝑐𝑝)/√3 (4.4) 𝑢 𝑎𝑞 = (𝑢 𝑏𝑝√3 + 𝑢 𝑏𝑝 − 𝑢 𝑐𝑝)/2√3 (4.5) 𝑢 𝑐𝑞 = (−𝑢 𝑎𝑝√3 + 𝑢 𝑏𝑝 − 𝑢 𝑐𝑝)/2√3 (4.6) C. Extraction of Weights for Fundamental Active Power Component of Load Currents The extraction of weights of fundamental active power component of the load currents is based on LMS algorithm and its training through ADALINE, which tracks the in- phase unit template to maintain minimum error. The weight of active component of the individual phase load current is estimated using LMS adoption algorithm. The estimation of weight is given as 𝑊𝑎𝑝(𝑛) = 𝑊𝑎𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑎(𝑛) 𝑊𝑎𝑝(𝑛 − 1)𝑢 𝑎𝑝(𝑛)}𝑢 𝑎𝑝(𝑛) (4.7) 𝑊𝑏𝑝(𝑛) = 𝑊𝑎𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑏𝑝(𝑛 − 1)𝑢 𝑝(𝑛)}𝑢 𝑏𝑝(𝑛) (4.8) 𝑊𝑐𝑝(𝑛) = 𝑊𝑐𝑝(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑐𝑝(𝑛 − 1) 𝑢 𝑐𝑝(𝑛)}𝑢 𝑐𝑝(𝑛) (4.9) η is the convergence factor and it decides the rate of convergence and accuracy of estimation. The practical range varies between 0.001 and 1.0. Higher value of η increases the rate of convergence, but at the same time it leads to inaccurate results, whereas low value of η leads to accurate results with slow rate of convergence. The best trade-off value of η is observed in accuracy and rate of convergence at 0.01. D. Extraction of Weights for Fundamental Reactive Power Component of Load Currents The extraction of weights of fundamental reactive power component of the load currents is based on LMS algorithm and its training through ADALINE, which tracks the quadrature template to maintain minimum error. The estimation of weight is given as 𝑊_𝑎𝑞 (𝑛) = 𝑊_𝑎𝑞 (𝑛 − 1) + 𝜂{𝑖_𝐿𝑎 ┤ (𝑛) − 𝑊_𝑎𝑞 (𝑛 − 1) 𝑢_𝑎𝑞 (𝑛)}𝑢_𝑎𝑞 (𝑛) (4.10) 𝑊𝑏𝑞(𝑛) = 𝑊𝑎𝑞(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑏𝑞(−1)𝑢 𝑏𝑞(𝑛)}𝑢 𝑏𝑞(𝑛) (4.11) 𝑊𝑐𝑞(𝑛) = 𝑊𝑐𝑞(𝑛 − 1) + 𝜂{𝑖 𝐿𝑏(𝑛) − 𝑊𝑐𝑞(−1)𝑢 𝑐𝑞(𝑛)} 𝑢 𝑐𝑞(𝑛) (4.12) E. Estimation of Fundamental Active Power Component of Reference Generator Currents The sum of instantaneous weight of the fundamental active power component of the load currents is subtracted from the output of the frequency PI controller to estimate the average weight of the fundamental reference active power component of the generator currents. The frequency error is given as 𝑓𝑒(𝑛) = 𝑓𝑟𝑓(𝑛) − 𝑓(𝑛) (4.13) Where frf is the reference frequency (i.e. 50 Hz in this case) and “f” is the frequency of the terminal voltage of an IAG. The instantaneous value of “f” is estimated as shown in Equation (5). The instantaneous frequency depends on wind turbine speed; however, this turbine speed is based on the instantaneous wind speed and the instantaneous active load present on the generator. Therefore, the output of the frequency controller is based on the requirement of necessary weight of active power component of the generator current for maintaining the system frequency constant. At the nth sampling instant, the output of the frequency PI controller is given as
  • 3. Neural Network based Voltage and Frequency Controller for Standalone Wind Power System (IJSRD/Vol. 2/Issue 09/2014/118) All rights reserved by www.ijsrd.com 528 𝑊𝑓𝑝(𝑛) = 𝑊𝑓𝑝(𝑛 − 1) + 𝑘 𝑝𝑓{𝑓𝑒(𝑛) − 𝑓𝑒(𝑛 − 1)}+𝑘𝑖𝑓 𝑓𝑒(𝑛)} (4.14) Therefore, the average weight for fundamental active power component of the reference generator current is given as 𝑊𝑝(𝑛) = 𝑊𝑓𝑝(𝑛) − 𝑊𝐿𝑝(𝑛) (4.15) These three-phase fundamental active power components of the reference generator currents are computed as 𝑖 𝑔𝑎𝑝 ∗ = 𝑊𝑝 𝑢 𝑎𝑝, 𝑖 𝑔𝑏𝑝 ∗ = 𝑊𝑝 𝑢 𝑏𝑝 𝑖 𝑔𝑐𝑝 ∗ = 𝑊𝑝 𝑢 𝑐𝑝 (4.16) F. Estimation of Fundamental Reactive Power Component of Reference Generator Currents The instantaneous weight sum for the fundamental reactive power component of the load currents is subtracted from the voltage PI controller output to estimate the average weight of the fundamental reactive power component of the reference generator currents. The ac voltage error at the nth 𝑉𝑒(𝑛) = 𝑉𝑡𝑟(𝑛) − 𝑉𝑡(𝑛) (4.17) Where Vtr(n) is the amplitude of the reference ac terminal phase voltage and Vt(n) is the amplitude of the sensed three-phase ac voltage at PCC and is computed as given in Equation (2). The output of the voltage PI controller is intended to maintain a constant ac terminal voltage. The terminal voltage is a function of the reactive power. Therefore, to regulate the voltage, the output of voltage PI controller in terms of weight of reactive power component of the generator currents at the nth sampling instant is expressed as 𝑊𝑞𝑣(𝑛) = 𝑊𝑣𝑞(𝑛 − 1) + 𝑘 𝑝𝑓{𝑉𝑒(𝑛) − 𝑉𝑒(𝑛 − 1)}+𝑘 𝑝𝑖 𝑉𝑒(𝑛)} (4.18) Where kpa and kpi are the proportional and integral gain constants of the PI controller, respectively. Ve and Ve(n−1) are the voltage errors in the nth and (n − 1)th sampling instant and Wqv(n) and Wqv(n − 1) are the weights of output of voltage PI controller in the nth and (n − 1)th instant needed for voltage control. Therefore, the average weight of fundamental reactive power component of the reference generator current is given as 𝑊𝑞(𝑛) = 𝑊𝑞𝑣(𝑛) − 𝑊𝐿𝑞(𝑛) (4.19) Three-phase fundamental reactive power components of the reference generator currents are given as 𝑖 𝑔𝑎𝑞 ∗ = 𝑊𝑞 𝑢 𝑎𝑞, (4.20) 𝑖 𝑔𝑏𝑞 ∗ = 𝑊𝑞 𝑢 𝑏𝑞 (4.21) 𝑖 𝑔𝑐𝑞 ∗ = 𝑊𝑞 𝑢 𝑐𝑞 (4.22) G. Estimation of Fundamental Reference Generator Currents Three-phase fundamental reference generator currents are estimated for each phase as the vector sum of individual phase fundamental reference active power component of the generator current and fundamental reference reactive power component of the generator current as follows: 𝑖 𝑔𝑎 ∗ = 𝑖 𝑔𝑎𝑝 + 𝑖 𝑔𝑎𝑞 (4.23) 𝑖 𝑔𝑏 ∗ = 𝑖 𝑔𝑏𝑝 + 𝑖 𝑔𝑏𝑞 (4.24) 𝑖 𝑔𝑐 ∗ = 𝑖 𝑔𝑐𝑝 + 𝑖 𝑔𝑐𝑞 (4.23) V. SIMULATION AND RESULTS The proposed ANN based VFC along with fixed pitch wind turbine driven IAG is tested with balanced/ unbalanced linear/nonlinear three-phase four-wire loads. The performance of VFC is presented under dynamic conditions to validate the control algorithm. The suitability of the control algorithm is shown by demonstrating the ANN based control variables’ variations under no-load, unbalanced nonlinear loads and balanced nonlinear load conditions. In addition, the performance of VFC is tested with lagging power factor (pf) loads. The reactive power demand of the load as well as IAG is supplied by VSC of VFC. Model with voltage and frequency control is modelled using MATLAB for linear unbalanced loads. The results are given below and we can see distortion is very much reduced. Fig. 3: isolated wind energy system A. Performance of the Controller Feeding Linear loads Similarly Fig. 4 Demonstrates the performance of the controller with 0.8 pf lagging reactive loads (balanced and unbalanced respectively) at fixed wind speed At 1 s load is given and at 1.2 s one phase of the load are opened and the load becomes unbalanced but voltage and current at the generator terminals remain balanced
  • 4. Neural Network based Voltage and Frequency Controller for Standalone Wind Power System (IJSRD/Vol. 2/Issue 09/2014/118) All rights reserved by www.ijsrd.com 529 Fig. 4: Performance of VFC controller with static load B. Performance of the Controller Feeding Nonlinear loads Fig.5 demonstrates the performance of the controller with nonlinear load at fixed wind speed. A three-phase rectifier load with resistive element is applied and the generator terminal with minimal harmonic distortion which show the load balancing aspects of the controller. At 0.95 s one phase and later on at 1.1 s another phase of the load are opened and the load becomes unbalanced but voltage and current at the generator terminals remain balanced. Fig. 5: Performance of VFC controller with Nonlinear load VI. CONCLUSION A new control algorithm for the voltage and frequency control of IAG has been presented in isolated WECS. It has been shown that a three-leg integrated VSC with a BESS is one of the best alternatives for VFC in constant speed IAG driven IWECS. The simplicity and inherited linearity of the control are some of the salient features of the new algorithm for VFC. . ACKNOWLEDGMENT Success of any work depends upon the dedication, sincerity and hard work. It also requires some ingredients such as motivation, guidance, encouragement and time. For that, I would like to say thanks ,work related to “A Simulation of 3 levels and 5 levels Diode clamp (NPC) inverter and its comparison”, to Asst. Prof. Vikash Verma, Asst. Prof, Electrical Engineering Dept.,Parul Institute of Engineering & Technology, who helped me for the successful completion of this Research work and for providing valuable guidance throughout the work. REFERENCES [1] IEEE Transaction, T. Ahmed, o. Noro, k. Matzuo, y. Shindo, and m. Nakaoka, “Minimum Excitation Capacitance Requirements For Wind Turbine Coupled Stand-Alone Self-Excited Induction Generator With Voltage Regulation Based On Svc,”., pp. 396 – 403, oct. 2003. [2] IEEE Transaction on Industry Applications, F.A. Farret, B. Palle, M.G. Simoes “State Space Modeling Of Parallel Self-Excited Induction Generators For Wind Farm Simulation”, , vol. 41, no. 4, July/August 2005. [3] IEEE Confernce, .A. Kishore, and G. S. Kumar, “A Generalized State-Space Modeling Of Three Phase Self-Excited Induction Generator For Dynamic Characteristics And Analysis,” In Proc., pp. 1 – 6, May 2006. [4] IEEE Conf. ICIT, G. S. Kumar and A. Kishore, “Dynamic Analysis And Control Of Output Voltage Of A Wind Turbine Driven Isolated Induction Generator”, in,2006, pp. 494-499 [5] Ieee Pes Gm , K. Trinadha And Ashwani Kumar, “Performance Of Wind Driven Induction Generator Under Balanced/Unbalanced Load And Excitation”, , 2011 [6] Matlab / Simulink Sim Power Systems Documentation http://www.mathworks.com