 Open Access
 Authors : V. A. Deshmukh , B. Sridhar
 Paper ID : IJERTV10IS030008
 Volume & Issue : Volume 10, Issue 03 (March 2021)
 Published (First Online): 10032021
 ISSN (Online) : 22780181
 Publisher Name : IJERT
 License: This work is licensed under a Creative Commons Attribution 4.0 International License
Experimental Study on Harmonic Mitigation in A Grid Connected Solar Power Plant
V. A. Deshmukh
M.Tech Scholar Department of electrical engineering
Christian College of Engineering and Technology Bhilai,India
B. Sridhar
Assistant Professor Department of electrical engineering
Christian College of Engineering and Technology Bhilai,India
AbstractSolar energy is converted into electrical energy through the use of solar power plants. Solar power plants have a photovoltaic array, a maximum power point monitoring unit, a DC to DC converter and, typically, a multilevel inverter. In these types of devices, power filters are used to counteract harmonics. The trouble with active power is that it adds expense to an otherwise costly solar power plant.
KeywordsSolar Power Plant, Harmonic mitigation, Power Quality, Power Filter

INTRODUCTION
Harmonics are introduced in the system due to extensive use of power electronic converters as well as due to nonlinear loading on the grid side, harmonics can also be introduced into the system due to lightning discharges and switching, here we are focused on the mitigation of harmonics generated due to converters and nonlinear loads. The harmonics introduced into the system will eventually lead to the following harmful eects:

Overheating of windings present in generators, Transformers and measuring pieces of equipment.

Early degradation of power cables.

Interference with power line carrier communication and other electronic devices.
Therefore mitigation of harmonics is an essential part of an optimum functioning power system, mitigation of harmonics also leads to lower downtime and therefore increased consumer satisfaction which eventually leads to higher prot margins. There are at least six types of lters which are used for harmonic mitigation. We are mainly concerned about harmonic mitigation in the gridconnected solar power plant.
Extensive literature review of the past 10 years helps us to ensure that there is almost no article that compares and sum marises harmonic mitigation techniques especially for a solar power plant.
The motivation behind this paper can be summarised as follows

To act as a helpful guide for design engineers consultants and customers concerning solar power plant.

To provide comprehensive details regarding harmonic mitigation techniques so as to increase the protability and eciency of a solar power plant.


HARMONIC MITIGATION THROUGH THE USE OF PAS SIVE POWER LTERS
Passive Filters use passive components, such as inductors, capacitors, and resistors. These cannot increase the signal energy; the frequency range for harmonic lters is limited to approximately 3000 Hz. It is common to characterize the frequencyselective lters with respect to their passbands.

Double tuned filter
Figure 1. A double tuned filter
A doubletuned filter is derived from two Single Tuned ilters and is shown in Fig. 1,The advantage with respect to two Single Tuned lters is that the power loss at fundamental frequency is less and one inductor instead of two is subjected to full impulse voltage.This is an advantage in HV applications.Two Single Tuned lters of dierent frequencies into a single doubletuned lter
Doubletoned filter and two parallel singletoned filters have the same feature that each of them will filter two distinct frequency harmonics.
Basically it filters out only two different frequency harmonics so it acts as if two single tuned filter are connected together.Mathematical explanation about the working of a double tuned filter is given below:
where,
Generally, R1 is omitted and R2 and R3 are modified so that the impedance near resonance is practically the same. Note that inductor L1 will have some resistance, which is considered in the above equations.
B.High pass filter
Figure 2. A high pass filter
The above figure depicts a typical high pass filter, It works according to the frequencyimpedance characteristic of the capacitor.
A highpass filter (HPF) is an electronic filter that transmits signals with a frequency greater than a certain cutoff frequency and attenuates signals with a frequency lower than the cutoff frequency. The sum of attenuation for each frequency depends on the configuration of the filter. Typically a highpass filter is modelled as a linear timeinvariant system. In the field of audio engineering, it is often called a lowcut filter or a basscut filter. Highpass filters have many applications, such as DC blocking from circuits vulnerable to nonzero average voltages or radio frequency systems. They can also be used in combination with a lowpass filter for the production of a bandpass filter.
Mathematical explanation of a high pass filter is given below:
B.Single tuned filter
Figure 3. A single tuned filter
The singletuned (ST) Filters are eficient filters and will bypass a certain harmonic to which these are tuned. These are most widely used Filters in all applications of harmonic mitigation. However, care is required in their design, so that the components are not overloaded, and overvoltages due to their applications are controlled. Many times a group of ST Filters are applied, each tuned to a specific frequency.
The operation of an ST shunt lter is explained with reference to Figure 3.
Harmonic current injected from the source through impedance Zc divides into Filter and system equivalent impedance Zeq. This system impedance can be found by circuit reduction this is in fact the shortcircuit equivalent impedance.
Care is taken in their design so that the components are not overwhelmed and the over voltage due to their application is regulated.
This device impedance can be found by circuit reduction, which is actually a shortcircuit impedance counterpart. The current Is divides into two parallel paths with magnitude as Ih and If.


HARMONIC MITIGATION THROUGH THE USE OF ACTIVE POWER FILTERS
Basically there are two types of active power filters,namely 1.Series active power filter and;
2.Shunt active power filter
Active power filters (APF) are filters, which can perform the job of harmonic elimination. Active power filters can be used to filter out harmonics in the power system which are significantly below the switching frequency of the filter. The active power filters are used to filter out both higher and lower order harmonics in the power system.
The main difference between active power filters and passive power filters is that APFs mitigate harmonics by injecting active power with the same frequency but with reverse phase to cancel that harmonic, where passive power filters use combinations of resistors (R), inductors (L) and capacitors
(C) and does not require an external power source or active components such as transistors. This difference, make it possible for APFs to mitigate a wide range of harmonics
Let us examine in detail the two filters.

Series active power filter
Figure 4. A series active power filter
A voltage Vf is injected in series with the line and it compensates the voltage distortion produced by a nonlinear load. A series active Filter is more suitable for harmonic compensation of diode rectiers where the DC voltage for the inverter is derived from a capacitor, which opposes the change of the voltage.
Figure 4.1 and 4.2 show the equivalent circuit of series active filter for harmonic current and vltage source.
Figure 4.1 Series active power filter for harmonic current load.
Figure 4.2 Series active power filter with harmonic voltage load.

Shunt active power filter with D space.
Figure 5. A shunt active power filter with D space.
The voltage distortion in a weak system is very much dependent on harmonic current, while a stiff system of zero impedance will have no voltage distortion. Thus, provided that the system is not too stiff, a non sinusoidal voltage can be corrected by injecting proper harmonic current. A harmonic current source is represented as a Norton
equivalent circuit, and it may be implemented with a pulse width modulation (PWM) inverter to inject a harmonic current of the same magnitude as that of the nonlinear load into the system, but of harmonics of opposite polarity. A shunt connection is shown in Figure 5 The load current will be sinusoidal, so long as the load impedance is higher than the source impedance.
Figure 5.1 and 5.2 show the equivalent circuit of parallel active filter for harmonic current and voltage source.
Figure.5.1, equation for Is can be written as
The subscript h signifies harmonic component.
Figure 5.1 Shunt power filter for harmonic current load
If the following equation is satisfied, then in figure 5.2
if the shunt active filter is controlled such that,
then source current is
In order that the source current becomes sinusoidal
then,
However, these conditions cannot be satisfied. K should be large, and impedance on the load side should be small for
harmonics in order to suppress the source harmonic current. This cannot be satisfied for a conventional phasecontrolled thyristor rectifier, and ZL is almost infinite. The required output voltage Vc also becomes infinite. In Figure 5.2, for series filter compensating a harmonic voltage source, the current is
When K is much greater than 1 pu, Is is zero. To realize a large gain, a hysteresis or rampcomparison control method can be used.
Figure 5.2 Shunt power filter for harmonic voltage load
III METHODOLOGY AND EXPERIMENTATION
For detailed model of the experimental setup please visit Model for harmonic mitigation
A.Experimental Setup
Figure 6. The experimental setup
The power system consists of of a solar PV array connected to a 3 phase 500V grid with a fundamental frequency of 60Hz.

The powergui block is a discrete block with sample time 33 microseconds.

Measurement and metering subsystem contains block that measure Active Power(kW), Reactive Power(kVAr), Power Factor, Total Harmonic Distortion and Maximum Power Point Tracking Measurements.
The gridconnected system is connected to a wider independent grid (usually a public utility grid) which feeds
energy directly into the grid. This energy can be exchanged by a residential or industrial building before or after the revenue assessment stage, depending on whether the attributed energy output is measured independently of the energy usage of the consumer (feedin tariff) or only on the difference in energy consumption (net metering).
The detailed diagram of the solar pv array has been described below –
Figure 7. Solar pv array (detailed diagram)
A 100kW PV array is connected to a 25kV grid via a DC DC boost converter and a threephase threelevel Voltage Source Converter (VSC). Maximum Power Point Tracking (MPPT) is implemented in the boost converter by means of a SimulinkÂ® model using the 'Incremental Conductance + Integral Regulator' technique.
Another example (see power_PVarray_grid_avg model) uses average models for the DC_DC and VSC converters. In this average model the MPPT controller is based on the 'Perturb and Observe' technique.
The detailed model contains the following components:
1. PV array delivering a maximum of 100 kW at 1000 W/m2 sun irradiance.
2.5kHz DCDC boost converter increasing voltage from PV natural voltage (273 V DC at maximum power) to 500 V DC. Switching duty cycle is optimized by a MPPT controller that uses the 'Incremental Conductance + Integral Regulator' technique. This MPPT system automatically varies the duty cycle in order to generate the required voltage to extract maximum power.
3.1980Hz 3level 3phase VSC. The VSC converts the 500 V DC link voltage to 260 V AC and keeps unity power factor. The VSC control system uses two control loops:

An external control loop which regulates DC link voltage to
+/ 250 V and;

An internal control loop which regulates Id and Iq grid currents (active and reactive current components). Id current reference is the output of the DC voltage external controller. Iq current reference is set to zero in order to maintain unity power factor. Vd and Vq voltage outputs of the current controller are converted to three modulating signals Uabc_ref used by the PWM Generator. The control system uses a
sample time of 100 microseconds for voltage and current controllers as well as for the phase locked loop (PLL) synchronization unit. Pulse generators of Boost and voltage source converters(VSC) use a fast sample time of 1 microsecond in order to get an appropriate resolution of PWM wave forms.
6.10kvar capacitor bank filtering harmonics produced by VSC.
7.100kVA 260V/25kV threephase coupling transformer.

Utility grid (25kV distribution feeder + 120 kV equivalent transmission system).

The 100kW PV array uses 330 SunPower modules (SPR 305EWHTD). The array consists of 66 strings of 5 series connected modules connected in parallel (66*5*305.2 W=
100.7 kW).

The 'Module' parameter of the PV Array block allows you to choose among various array types of the NREL System Advisor Model (https://sam.nrel.gov/).

The manufacturer specifications for one module are:

Number of seriesconnected cells : 96

Opencircuit voltage: Voc= 64.2 V 14.Shortcircuit current: Isc = 5.96 A

Voltage and current at maximum power : Vmp =54.7 V, Imp= 5.58 A

The PV array block menu allows you to plot the IV and P V characteristics for one module and for the whole array.

The PV array block has two inputs that allow you varying sun irradiance (input 1 in W/m^2) and temperature (input 2 in deg. C). The irradiance and temperature profiles are defined by a Signal Builder block which is connected to the PV array inputs.
The solar pv array has been connected to a grid with two unbalanced and one balanced load, the details of which has been given below
Figure 8. The grid with its loads
The first load is an unbalanced load connected with a Series Active Power Filter for harmonic mitigation. It consists of a universal bridge with snubber resistance of 100 ohms, and snubber capacitance of 0.212 millifarad. The second load consists of a three phase bridge configuration diode rectifier with ON state resistance of
0.1 ohms. The passive power filters are SimulinkÂ® model
named passive harmonic filter they are configurable as single tuned, double tuned and as a high pass filter.
When the currents on the three live wires of a threephase system are not equal or are not at an exact 120Â° phase angle, the power loss is greater than for a perfectly balanced system. The method of symmetrical components is used to analyze unbalanced systems.
Figure 9. The shunt active power filter
The above block diagram(Figure 9) is named as LOAD_2_WITH_SHUNT_ACTIVE_POWER_FILTER and
can be subdivided into shunt active power filter and non linear load.An additional powergui block(discrete) is present here with sample time of 5 microseconds. The shunt active power filter is based on pq theory and contains a D space block for additional simplicity.
Figure 10. The series active power filter
The above block diagra(Figure10) describes block named as LOAD_1_WITH_SERIES_ACTIVE_POWER_FILTER.This
block consists of a non linear load and a series active power filter.


METHODOLOGY
The simulation is performed in SimulinkÂ® with time of simulation being from 1 second to 2 second. The solver used to simulate is ode4(RungeKutta) with step size as fixed. The format for input and output data is set to array and maximum number of data points is set to have value of 1000. All the other solver parameters contain default values.
A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa.The currents and voltages of which fast fourier transform (fft) analysis has been done are listed in the following table.
Table11. Tag names and address of Fourier transformed voltage and current
The simulations are performed such that only one filter is active at a time or none of the filters are active in the given time interval. The sequence of which would be as follows –

No filters are connected

Only Shunt Active Power Filter is connected 3.Only Series Active Power Filter is connected
4.Single tuned Passive filter is connected across load 1 5.Double tuned Passive Filter is connected across load 1 6.High Pass Filter is connected across load 1
7.Single Tuned Passive Filter is connected across load 2 8.Double Tuned Passive Filter is connected across load 2 9.High Pass Filter is connected acrss load 2
The single tuned filter connected across load 1 is tuned for 5th harmonic frequency while double tuned filter has been tuned for 5th and 7th harmonic.The high pass filter connected across load 1 has a cut off frequency of 180 Hz or third harmonic.The single tuned filter connected across load 2 is tuned for 2nd harmonic while the double tuned filter is tuned for 2nd and 5th harmonic.The high pass filter connected across load 2 has a cut off frequency of 120 Hz of 2nd harmonic.


RESULT OF SIMULATION

With no filters connected to Load 1 the following waveform of load current and load voltage are obtained –
Figure 11. Load current with no filters connected to Load 1
Figure 12 Load voltage with no filters connected to Load 1
Figure 11.1 Fast Fourier transform of load current waveform
Figure 11.2 Fast Fourier transform of load voltage waveform

With no filters connected to load 2 the following load current and load voltage waveform are observed
Figure 13. Load current waveform with no filters connected to load 2
Figure 14. Load voltage waveform with no filters connected to load 2
Figure 13.1 Fast Fourier transform of load current waveform
Figure 14.1 Fast Fourier transform of load voltage waveform

With only shunt active power filter connected to load 2 the following load current and load voltage wave forms are observed –
Figure 15. load voltage waveform with only shunt active power filter connected to load 2
Figure 16. Load current waveform with only shunt active power filter connected to load 2
Figure 15.1. FFT analysis of load voltage waveform with only shunt active power filter connected to load 2
Figure 16.1. FFT analysis of Load current waveform with only shunt active power filter connected to load 2

With only series active power lter connected to load 1 the following load current and load voltage waveform are observed –
Figure 17. Load current waveform with only series active power lter connected to load 1
Figure 18. Load voltage waveform with only series active power lter connected to load 1
Figure 17.1. FFT analysis of Load current waveform with only series active power lter connected to load 1
Figure 17.2. FFT analysis of Load voltage waveform with only series active power lter connected to load 1

With only single tuned lter tuned for 5th harmonic connected across load 1 the following load current and load voltage waveform are observed –
Figure 19. Load voltage waveform with only single tuned filter connected across load 1tuned for 5th harmonic freqency
Figure 20. Load current waveform with only single tuned filter connected across load 1tuned for 5th harmonic frequency
Figure 19.1. FFT analysis of Load voltage waveform with only single tuned filter connected across load 1tuned for 5th harmonic frequency
Figure 20.1 FFT analysis of Load current waveform with only single tuned filter connected across load 1tuned for 5th harmonic frequency

With only high pass lter with cut o frequency of 180 Hz connected across load 1 the following load current and load voltage waveform are obtained –
Figure 21. Load current waveform high pass lter with cut o frequency of 180 Hz
Figure 22. Load voltage waveform high pass lter with cut o frequency of 180 Hz
Figure 21.1. FFT analysis of load current waveform high pass lter with cut o frequency of 180 Hz
Figure 22.1. FFT analysis of load voltage waveform high pass lter with cut o frequency of 180 Hz

With only single tuned lter tuned for 2nd har monic connected across load 2 the following load current and load voltage waveform are observed –
Figure 23.Load current waveform of single tuned lter tuned for 2nd harmonic connected across load 2
Figure 24. Load voltage waveform of single tuned lter tuned for 2nd harmonic connected across load 2
Figure 23.1. FFT analysis of load current waveform of single tuned lter tuned for 2nd harmonic connected across load 2
Figure 24.1. FFT analysis of load voltage waveform of single tuned lter tuned for 2nd harmonic connected across load 2

ith only double tuned lter tuned for 5th and 7th harmonic connected across load 2 the following load current and load voltage waveform are obtained –
Figure 25. Load current waveform with double tuned lter tuned for 5th and 7th harmonic connected across load 2
Figure 26. Load voltage waveform with double tuned lter tuned for 5th and 7th harmonic connected across load 2
Figure 25.1 FFT analysis of load current waveform with double tuned lter tuned for 5th and 7th harmonic connected across load 2
Figure 26.1. FFT analysis of load voltage waveform with double tuned lter tuned for 5th and 7th harmonic connected across load 2

With only high pass lter with cut o frequency of 120 Hz connected across load 2 the following load current and load voltage waveform are obtained –
Figure 27. Load current waveform with high pass lter with cut o frequency of 120 Hz connected across load 2
Figure 28.Load voltage waveform with high pass lter with cut o frequency of 120 Hz connected across load 2
Figure 27.1. FFT analysis of load current waveform with high pass lter with cut o frequency of 120 Hz connected across load 2
Figure 27.2. FFT analysis of load voltage waveform with high pass lter with cut o frequency of 120 Hz connected across load 2
VI. CONCLUSION

The below table compares total harmonic distortion for various configuration of lters:

Passive power lters perform best when tuned properly but they are unable to compensate for the dc component of current/voltage waveform

Active power lter perform best in almost every scenario but series active power lter is best used for mitigation of voltage sags than harmonic mitigation.

If not tuned properly then passive power filters can act as a harmonic source rather than harmonic sinks.


VII.BIBLIOGRAPHY

Power system harmonics and passive lter designs by J.C.Das.

Vaibhav Deshmukh (2021). Grid connected solar power plant with active, passiveP.F.
(https://www.mathworks.com/matlabcentral/leexchange/87062 gridcon nectedsolarpowerplantwithactivepassivepf), MATLAB Central File Exchange. Retrieved February 21, 2021.

Simulation of Dynamic Systems with MATLABr and Simulinkr by Harold Klee and Randal Allen

K. Elissa, "Title of paper if known," unpublished.

P. Gakhar and M. Gupta, "Harmonic Mitigation in a Transformer Less Grid Connected Solar PV System Using Mod ied LCL Filter," 2018 3rd International Conference and Workshops on Recent Advances and Innovations in Engineering (ICRAIE), Jaipur, India, 2018, pp. 1 4, doi: 10.1109/ICRAIE.2018.8710437.

Arangarajan Vinayagam, Asma Aziz, Balasubramaniyam PM, Jaideep Chandran, Veerapandiyan Veerasamy, Ameen Gar goom,Harmonics assessment and mitigation in a photovoltaic integrated network, Sustainable Energy, Grids and Networks,Volume 20,2019,100264, ISSN 23524677, https://doi.org/10.1016/j.segan.2019.100264. (https://www.sciencedirect.com/sci ence/article/pii/S2352467719302516).

Comprehensive Assessment and Miti gation of Harmonic Resonance in Smart Distribution Grid with Solar Photovoltaic Pramod Kumar Bhatt, S. Y. Kumar B.