DIFFERENT MPPT – FUZZY TECHNIQUES FOR MULTILEVEL DC LINK INVERTER TO SOLVE THE PARTIAL SHADING
4.1 OBJECTIVE
A photovoltaic system, is a power system designed to supply usable solar power by means of photovoltaic’s. Nowadays, most PV systems are grid-connected, while off-grid or stand-alone systems only account for a small portion of the market. When even partial shading is bad for solar power systems. Solar panels work best when there is no shade cast upon them. In fact, a shadow cast on even just part of one solar panel in the solar array can potentially compromise the output of the whole system. Shadowing effect occurs when a photovoltaic system does not receive the same amount of incident irradiation level throughout the system due to obstacles. In these conditions, the cells receiving a lower level of irradiance can absorb power instead of producing it. This paper proposes a algorithm which is applied on single phase seven level inverter with isolated maximum power point tracking techniques. The maximum power recovery of photovoltaic sources enabled by several Maximum Power Point Tracking (MPPT) technique like modified Perturb & Observe (P&O), incremental conductance and voltage hold P&O. The spectral quality of the inverter output is observed through the simulation studies of Matlab/Simulink working platform. As well as, hardware results are verified with the help of ATMEGA8 microcontroller.
4.2 INTRODUCTION
Nowadays photovoltaic energy system has more demand in the market because solar rays is the basic thing for functioning the system. Low initial cost and also be use the roof tops instead of lands are the benefits .some of the problems occur on the grid connection of photovoltaic are harmonic misuse, islanding explore and electromagnetic collapse . DC link inverter will have its individual DC source and can significally cutback the switching count. Some of the advantages of DC link inverter are neglecting noise, great switching frequency and very low switch loss .The dc link voltage will turn into zero it arrives only when every single switch in inverter is imported out .Some of the problems occur on DC link inverters are zero crossing breakdown, voltage overshoot and inverter phase current ripple . While recognize the solar modules there is an extensive factor to regard is partial shading. The partial shading of photovoltaic array will decreases its output power capacity . The corresponding amount of degeneration in the side of energy productivity can be resolved in a leading style and it’s not comparative to the shaded part .Maximum Power Point Tracking (MPPT) is a concept occupied in the photovoltaic system to prepare full usage of photovoltaic delivered power . The function of MPPT is to track the variations of atmospheric surroundings and to track the steady state certainty. MPPT will also be named as energy feedback scheme this will measures array power and reused it as a feedback volatile .Some of the different techniques of MPPT are beta method, hill climbed and fixed duty cycle. The MPPT is a device utilized by a microprocessor to ache both biggest output power and indicates the array at regular frequency interval .The MPPT will works exactly at the steady state conditions. MPPT fuzzy logic can be composed for the grid linked photovoltaic systems .The maximum power point will disturbs the short circuit current. The P&O will employ load and directs adjustments in power progress . By the overall MPPT method the incremental conductance method will be performed as great tracking capacity and only by the MPPT the solar rays will gives more energy in variant states .The major drawback in MPPT technique will be the change in weather conditions and by voltage flucations . For change in the weather conditions to withstand the output power the MPPT function will modify the delivered power as quickly as feasible . The controlling loop of MPPT can able to adjust DC link voltage to maintain the performing mark at MPP . The sub system of MPPT is restrained on curtained other sub system along with the help of digital processor .Some of the advantages of MPPT are, its efficiency is up to 96% and can utilize higher solar power and optimize ultimate power even in cloudy weather . It is the biggest economical path to develop the PV system capability and can essence ultimate PV power . One of the major application of MPPT is, will mainly used in the solar panels or solar systems and it will act as a solar charge controller . It can also be used in many commercial household and large scale industrial applications . MPPT can also be used in some real time projects and few of them are embedded projects based MPPT techniques and solar charge controller based MPPT . MPPT will also implemented in low budget PV applications and also in grid supply functions.
4.3 PROBLEM STATEMENT
Shading can have a huge impact on the performance of solar photovoltaic panels. It is obvious that the best solution is to avoid shading altogether, though this isn’t possible in practice due to factors like cloud, rain etc. but what many people don’t realize is that even if a small section of the solar photovoltaic panel is in shade, the performance of the whole solar photovoltaic panel will significantly reduce. This is because solar photovoltaic panels actually consist of a number of solar photovoltaic cells that are wired together into a series circuit. This means that when the power output of a single cell is significantly reduced, the power output for the whole system in series is reduced to the level of current passing through the weakest cell. Therefore, a small amount of shading can significantly reduce the performance of your entire solar photovoltaic panels system . One of the main causes of losses in energy generation within photovoltaic systems is the partial shading on photovoltaic (PV modules). These PV modules are composed of photovoltaic cells (PV cells) serial or parallel connected, with diodes included in different configurations. The curve of a PV cell varies depending on the radiation received and its temperature. Furthermore, the modules have diodes that allow the current flows through an alternative path, when enough cells are shaded or damaged. Hence there is an efficient search for an effective method to overcome the shading problem.
4.4 PROPOSED METHODOLOGY:
4.4.1 Solar Cell Equivalent Circuit
The functioning of the p-n junction solar PV cell will be derived by diode equation. The semiconductor sheet is formulated in a p-n junction. The solar cell consumes sunlight and the photonswith power higher than the band gap energy. The atoms in the equipment will generate electron hole mates are smacked loose on valance electrons. The private electric field in the p-n junction will produce current and transport it far away.
- Model of Solar Cell
Figure1 display PV cells equivalent circuit. The construction of the circuit deals with a diode, resistor in series, resister in parallel and photo current origin. The Figure 4.1 shows that solar cell practical model.
Figure 4.1 Solar Cell Practical Model
The delivered current of PV cell will explained as process of delivered voltage of the PV cell is given below,
(4.1)
= leakage current by sunlight;
= shunted current by diode;
= load resistance;
= current over the load;
= load by the voltage;
= parasitical series resistance;
= parasitical shunt resistance;
= charge on electron;
= Boltzman concept;
The sun reregulates the solar cell gain and cell condition will be proportional to the photo current, this can be explained by:
(4.2)
Here = 0.012 this will be declared as temperature collateral of leakage current.
- Model of Solar Module
To mode a PV module the solar cells are arranged in parallel and series. The current and voltage correlation depend on particular cell circuit can be declared as,
(4.3)
The parallel and series linked solar cells are and
- PSC Module Model / Solar Cell
Derivation (4.3) is the perfect standard of uniform shading conditions of solar model. Pspice electrical equipment positioned of PV model is introduced rather using the mathematical method, in this to produce a PV module each and every solar cells are arranged in series and parallel conditions. Every single photo current is expressed by current source and PSC can convert the values of current sources are the major benefits of pspice equipment and the demerits is the weakness to consolidate element enclosing condition, thus humiliating the perfection of the model. The next sector of this paper deals with combination of model types merits and hybrid PV cell.
4.4.2 Multi-Level DC Link Inverter
The portion of this paper deals with the PV multilevel DC link inverterto contracts with the problems in partial shading and to attain the case with varied luminosity of shaded PV parts the modifying voltages are extremely lower than the current changed, so the entire voltage change in seriously connected PV sources is lower when compared with higher irradiance and change in voltage.
Multi-level DC link inverter will neglects heavy pairing in the inductors or transformers. This will implement excellent voltage waveforms with very low harmonic smug will also decrease range and density of passive filter components. The aim is to modesty regards with circuit performance and to reduce the number of switching equipments similarly some PWM techniques of switching is conferred in improvement of (IPWM) integration duty cycle conversion PWM can be implemented in various inverter levels. The portion encloses with executing absolute PWM to DC link inverter.
4.4.3 Novel PV System
In PV arrays the cells are comfortably linked in series to get the perfect voltage while in the heavy voltage process circumvent diodes are fixed beyond the combination of cells to neglect contrasting or dusky cells. This paper deals with the utilization of multi-level DC link inverter to prevent the issue of moderately shaded linked PV sources. The step inverter will also named as multilevel DC link inverter. The properties of PV arrays usually conduct with partial shading and briskly growing shading conditions. Briskly varying shadow conditions develops the complication of maximum power point tracking. When several civic MPP happens it becomes tough to denote the global maximum power point.
In the section Figure 4.2, shows that Grid connection of PV system by H-bridge multi-level inverter Three or single phase grid connection PV systemfor H-bridge multi-level inverter function is represented in this section. The defects in the panel are consign to expo the essential of private MPPT and again then control strategy is performed. This will be possible for dual single and three phase functions. Each PV system are linked with each H-bridge inverter, all the H-bridge inverter are connected to one another with this inductor and resistor loads are assembled and finally overall arrangement is connected to the grid supply.
Figure 4.2 Grid connection of PV system by H-bridge multi-level inverter
The jointed L filters function is to decrease the switching harmonics in current, by various sequence of four switches in every single H-bridge module the produced three gain voltage levels are given below,
, 0, or
The 2N+1 sources can be afford N input multi-level inverter to integrate AC gain waveform. The structure of the desired gain filters will be decreased by (2N+1) voltage waveform by decrement of harmonics in integrated current. Some of the merits of multi-level inverters are decrease the voltage force, having very high capability when related with alternative converter functions. In the PV imbalance problems every single PV module is guarded separately otherwise the capability of whole PV function will gets affected.
4.4.4 Control techniques of PV Multilevel Dc Link Inverter
The PV module will classified into two major sections they are controller section and power circuit section. In this the power circuit section deals with the varied PV sources, DC link inverter and load characteristics like L-R. Maximum Power Point Tracking will ensures power evaluation governor usually for the control functions. Next the controller section of PV module deals with (P&O) Perturbation and Observation for every single PV function.
By this process isolated P&O tracking function and control process of PI can be contributed for Every single PV system. The delivered signals from these units are amplified by a continuous waveform to create the AC signals. By employing PWM switching function the indicating signals are guarded. Another way control processing can be done by an H-bridge converter which is linked to grid. In this the N number of cells are arranged in a regular manner for the guarding function of active rectifier. From the variant control technique only selected technique will able to functions at varied DC link voltage.The essential factor for power factor guidance is to confine the cells and the given inductance. Integrity power factor will develops with phase of 90% and grid voltage will be produced. The results of the derived control techniques is achieved by the simulation process. Likewise the control process of partial shading can be processed by the DC link inverter.
- Pulse Width Modulation
Pulse width modulation is dominant process used to control the analog circuits by the microcontroller delivered digital values. The justification for the power electronics is the PWM. The formation of PWM virtually disturbs every conditions of proponent transaction from constant state and effective control attainment to electromagnetic opposition and the thermal constitution. PWM waveform can also contribute harmonic neglection by dual edge inflection.
In the last petty years PWM functions will be comprehensive experimentation variant new views and attainment has been introduced and PWM will performs well in operation wise and as well as cost wise. Their may huge develop in PV system in little grid and multiple functions, large fulfillment in voltage level, affability and authenticity for future production huge scale PV grid have been invest leading progress.
- The PWM Proposed System
The PWM will have voltage harmony potential. The approach of VSM (virtual sub module) has been introduced by converting the leveling pattern the RSM and VSM. The approach has been contrived to revolve the upcoming bearings: 1) No additional signals could be combined to the resource voltage to give excellent support for the over throw of diffusive current, 2) huge amount of sub modules in single wing can be applicable, 3) comparable switching frequency of PDPWM can be preserved, 4) massive amount of standby modules which has huge scale converting progress in field programmable gate array can be simply concluded. Fig 3 observed that the Input of VSM.
Figure 4.3: Input of VSM
The figure 4.3 represents the input for the SVM.Transporter complexion PWM has been generally implemented in multiple modulation and it can be classified into three major categories; Phase opposition disposition (POD), Phase disposition (PD) and alternative phase opposition disposition (APOD). It suggests that it can operate only by some proportional conditions. To develops some PWM techniques the approach of VSM has been introduced initially this represents that the RSM is not VSM and the PWM delivered gain can be correlated of modulated signals and the bearer will be shifted to VSM at initial and then VSM is listed to 1 to 2N. In this 0 indicates the VSM is OFF and 1 indicates VSM is ON.
4.4.5 Maximum Power Point Tracking
The MPPT principle is to abstract the high range of solar rays and circulate it to the loads and the battery. In the overall MPPT actions for obvious performance and large following certainty incremental conductance innovation is mostly occupied. MPPT will not only have benefits on INC even also fundamentally modify the trace range for trace the PV supply MPP. By weekly detachment or short circuit by the PV units is essential to durate the open circuit voltage. This will concluded in higher power debt. The specification of the exactness at regular state and the feedback speed of MPPT can decided by settled iteration step range normal by incremental conductance MPPT step range. The functions of the PV array can also modify with time although the inactive system has been qualified to satisfy MPPT regularly.
- Simple MPPT System with Voltage Feedback Controller
The MPPT technique will include three major parts they are energy converter, controller and MPPT algorithm functions. The model performs essence on MPPT function which moderately traces the PV power and later therefore keeps under control the power converter to conform that charge will operates under the highest PV power. The figure 3 .4 represents the voltage assessment.
Figure 4.4 Simple MPPT function with voltage feedback controller
Figure 4.4 represents Simple MPPT function with voltage feedback controller. In this MPPT with required voltage can be identified and intent based on described ranges or else the questionnaire of PV system and therefore this process is called as consistent reference voltage MPPT for neglecting the addiction of this process to the described reference voltage to become extra elastic dependably against the changing in weather conditions the development process has been improved. The continuous changes in the reference voltage by cause of uncertain conditions in temperature and weather are typically comit on open circuit voltage on PV. For whole time duration the open circuit will be patterned while load and PV source interrupted repeatedly and it requires some time to detrain after every breakoff when the PV source will continuously restarts its open circuit voltage and also the required energy to the system will be missed.
- Simple MPPT System with Power Feedback Controller
One of the easiest and economical method of MPPT technique is the reference voltage technique but this will not behaves to the weather changing conditions and illumination. Some of the techniques has been introduced to defeat the above mentioned problems. But this method will be mistaken & deceptive. To verify the choose reference voltage artificial intelligence has been implemented although artificial intelligence circuitry are exercised to refer the correct value in varied load and weather conditions. By these process the tracing of MPPT has been developed.
Another way for overcome the defects is power feedback controller rather the need of power voltage as restraint variable, the need of the PV energy is to provide highest PV obtained energy. It can also able to trace the maximum PV regularly at any varied weather conditions. The figure 4.5 describes the MPPT with power feedback controller techniques.
Figure 4. 5 Simplest MPPT System with Power Feedback Controller
Figure 4. 5 is the Simplest MPPT System with Power Feedback Controller .There are three techniques are frequently used as the power feedback such as,
- Voltage Hold Perturb and Observe(P&O)
- Incremental Conductance(IncCond)
- Modified Perturb and Observe(P&O)
The P&O is mostly achieved in MPPT function because of its modesty form. The PV array delivered energy and energy modifying by considering the dual PV voltage and current will be depend on summation of P&O function. The tracing process will functions by collating the real value of energy with the earlier value to regulate the modification on solar ray voltage. While the maximum power is achieved the function will librates over the MPP for the purpose of reduce the oscillation also to minimize the perturb step range.
Figure 4. 6 Block diagram of P&O MPPT
Figure 4. 6 shows the Block diagram of P&O MPPT. Some of the demerits in the P&O method are oscillation over the MPP in constant state function and delay the feedback dispatch for adjustment in solar luminosity. It perturb the functioning unit and observe the alteration in energy earlier and later perturbation. The energy will be estimated by the use of voltage and current. If the energy variation is specific the way of perturb rest in equal or else this will be transposed.
- Voltage Hold Perturb and Observe (P&O)
The P&O technique is widely used because of its simple and easy construction. The PV energy camber will be gentle with very little surges in the stable irradiance function. The speed of the trace process will blister because of high energy loss and varying climate conditions. Although by choose a high perturbation steps will outcome in gaining quick tracing feedback at varied climate changes. During the briskly irradiance changes, an improper MPP will traced and later that certain MPP is achieved.
This fault was raised in 1995 for first time and the clarification is that of perturbation process is built in accurate direction and then by rapid power raising, the perturbation will placed in actual position as like the earlier process be in incorrect direction of searching, before achieving the absolute MPP power loss will acquired.
Figure 4. 7 Flow Chart for VH-P&O
The flowchart shown in figure 4. 7. Illustrates that P&O technique is initially increase or decrease the controller reference voltage which is denoted as C. The tracking occurs on the right side and perturbation guidance will be maintained when positive PV power variations is attained which represents that PV power is raised. The direction of the perturbation is reversed when the power variation is negative. As the result of regular perturbation, P&O technique will not blocked at the aimed MPP voltage but liberates around the function.
- Incremental Conductance Algorithm
This algorithm has been developed in 1995 to beaten the defects of p&o mainly for weather changing conditions. The figure 4. 8 represents the transmutation of IncCond algorithm of reference voltage when compared among PV origin flashing and dynamic conductance. The above mentioned approach is derived from power equation as given below,
At mpp
(4.4)
Figure 4. 8 IncCond flow chart
The above Figure 4. 8 shows the : IncCond flow chart process clearly derived that there is no change in PV voltage, to notice the irradiated changes in PV current need to be verify. Likewise the vibration at constant state will not abolished being the beyond equation is not literally fulfilled at MPP. In favor of conquering the condition only a little amount of fault can be tolerable. Inccond algorithm needs extra figuring intention while correlate with p&o algorithm. If there is no change in PV voltage, to identify the irradiance changes the PV current has to be verified. This process will not be the source for harm the MPP at the time of irradiance change. To get more effective while reaching MPP the p&o technique is used. In the simulation process the result explains that the IncCond are till loosing at the time of irradiance change.
- Modified P&O Algorithm
In this process the highest performing power point can be achieved prior than the ordinary p&0 method. Here the initial range of voltage and estimation of energy is executed at any stage. Next to that slope (Dp/Dv) verification is executed to notice whether the performing unit is based on right side or else left side of the MPP. In the slope conditions if slope deals in positive region the process will be carry forward, if it is negative then the voltage and power can be verified.
The moderate of both the voltages are verified and inquiry for slope has been completed. The energy will gather as highest power point as the slope based within a definite space. In addition to slope appears to positive, then unique moderate voltage will be modernized as v positive and v negative and this functions repeated and moderate value will be gained. But incase if slope is negative also the voltage in same side approaches to least energy on side of negative is restored as same like mentioned earlier. The recent moderate voltage is based on detailed in little space and then MPP is traced. Which his shown in Figure 4. 9 represents Modified P&O flow chart.
At the beginning the slope arrives to negative after calculating the voltage and power, then a definite reduction of voltage is executed till gained voltage is in the side of positive dp/dv. The currently appeared voltage and least appeared voltage at positive and negative side is dp/dv can be detailed as V positive and V negative. The moderate voltage will be measured and also the moderate slope voltage has been processed. This performance will be repeated till the moderate base stated in the little level.
Figure 4. 9 Modified P&O flow chart
4.5 Result & Discussion
The results are taken through the implementation of Matlab/Simulink and ATMEGA8 microcontroller respectively. The output diagrams related with pulse width modulation is displayed in the following three diagrams. The voltage and current waveforms for the three type of MPPT techniques are given. The next section give the resultant analysis of hardware implementation with the pulse performances of switches. Figure 4.10 shows the results of Phase Disposition PWM.
Figure 4. 10 Phase Disposition PWM
Every bearer will have equal amplitude and frequency each N-1 bearer are in a condition with one another. This process is depend on the variation of sinusoidal insinuation waveform with diagonally moved bearer waveform. Every bearer signals in phase have equal amplitude and equal frequency. This process will also relevant to diode clasped inverter.
In the phase opposition disposition the bearer is over the zero insinuation are in phase but moves to 1800 under the zero insinuation were the POD replacement bearers are organized in 1800 phase change.
Figure 4.11 Phase opposition disposition PWM
Figure 4.12 Phase shift PWM
Every bearer signal will have equal frequency and amplitude else they are phase changed by 900 by one another. Number of counts of all bearer is judiciously phase changed. Figure 4.11 and Figure 4.12 represents the results of Phase opposition disposition PWM and the Phse Shift PWM.
Figure 4. 13:seven leveled DC link multilevel inverter simulation diagram
The output of simulation are consummated by the MATLAB/SIMULINK. The above fig represents the seven leveled DC link multi-level inverter. The all three PV functions has accomplished as 49 V performed by PV system, which will be linked with DC link MOSFET based inverter. The next process of emerging current and voltage waveform will be explained in below diagrams. Figure 4.13 represents the seven leveled DC link multilevel inverter simulation diagram
4.5.1 Simulation output Waveforms
The output waveforms of seven level DC link inverter like voltage and current waveforms for varied PV sources like PV1, PV2 and PV3 at non luminosity stages will be explained in given below waveforms.
4.5.1.1 Modified p&o Algorithm
Figure 4.14: voltage and current output waveform
The Figure 3.14represents the voltage and current waveforms for varied PV sources at different ranges. In this the range for all PV sources are same like, PV1=1000 w/m2, PV2 = 1000 w/m2 and for PV3 = 1000 w/m2. The output range for both voltage and current waveform are equal for modified p&o algorithm.
4.5.1.2 Incremental Conductance
Figure 4.15 voltage and current output waveform
The figure 4.15 shows that the voltage and current waveforms for various PV sources at varied ranges. In this the measurements for all PV sources are slightly different for that, PV1=1000w/m2, PV2=500 w/m2 and for PV3=1000 w/m2. Here PV1 and PV3 are equal but PV2 is different for both voltage and current waveform of incremental conductance.
Voltage Hold P&O
Figure 4. 16:voltage and current output waveform
The figure 4.16 represents the voltage and current wave forms for variant PV sources at different ranges. In this the levels for all PV sources are quite different for that, PV1=1000w/m2, PV2=500w/m2 and for PV3=500w/m2. Here PV2 and PV3 are equal but PV1 is disparate for voltage and current waveforms of voltage hold P&O.
Table 4.1 Comparison of Different MPPT Techniques
Irradiance (w/m2) | Voltage hold P&O | Incremental conductance | Modified P&O | |||||
PV1 | PV1 | PV1 | % THD | Vo Volts | % THD | Vo Volts | % THD | Vo Volts |
500 | 500 | 500 | 35.13 | 10.29 | 35.67 | 10.21 | 21.08 | 21.01 |
500 | 500 | 1000 | 35.77 | 10.31 | 35.72 | 10.23 | 21.10 | 21.03 |
500 | 1000 | 500 | 35.85 | 10.33 | 35.87 | 10.24 | 21.11 | 21.04 |
500 | 1000 | 1000 | 35.87 | 10.33 | 35.92 | 10.25 | 21.15 | 21.06 |
1000 | 500 | 500 | 35.94 | 10.34 | 35.95 | 10.27 | 21.20 | 21.07 |
1000 | 500 | 1000 | 35.95 | 10.36 | 35.96 | 10.27 | 21.35 | 21.11 |
1000 | 1000 | 500 | 36.02 | 10.38 | 36.01 | 10.29 | 21.36 | 21.13 |
1000 | 1000 | 1000 | 36.13 | 10.40 | 36.05 | 10.31 | 21.48 | 21.14 |
The above table 4.1 briefly describes the various types of MPPT techniques like, voltage hold p&o, incremental conductance, modified p&o and irradiance (w/m2) for all PV sources and both voltage ¤t functions. Here the values for all PV sources are varied and accurate values of MPPT techniques for both voltage and current functions are also described in Table 4.1.
4.5.2 Hardware Results
The hardware structure deals with the PV system which needs more than one solar panels to change solar energy into electric energy. The system consists of several equipments like photovoltaic schedule, electrical and mechanical networks. Also the output derived from the PV system will mainly depends on the solar insulating.
Figure 4.17 Hardware Implementation
Figure 4.17 shows the Hardware function also deals with the microcontroller and power MOSFET techniques. The power MOSFET of third generation has features of quick switching, effective device model and low cost performance. The purpose of the driver circuit is to isolate negative current to microcontroller and to develop stable voltage source and this voltage is linked to the isolator for detachment process.
When the given voltage is IR2110 IC and then the delivered voltage will have maximum voltage that can be enough for drive the MOSFET. Here ATMEGA 8 microcontroller is need for introducing switching pulses to the multilevel inverter. This will not produce any typical form voltage on the inverter side although it will neglects the typical form voltage and also need to neglect the capacitor voltage. The appearance of microcontroller are entirely stable process, great performance and leading architecture.
Switching pulses
The below figures represents pulse performance of various switches for varied levels at time =19.9ms, frequency = 50.31 Hz and voltage level = 2.38 V. When the time and frequency varied there may be variation in the switching pulses. Due to the time of variation in the switching pulses there may be changes in the derived output voltage waveforms.
- switch S1
(b) switch S2
- switch S3
Figure 4.18 Pulse performance for switch S1, S2 & S3
The figure 4.18 represents the various pulse performance of switch S1, S2& S3 at time= 19.9ms, frequency=50.31 Hz and voltage =2.38V. The switch S2 is quietly differ from S1. The variation of switch S3 by pulse performance at regular intervals. Here switch S3 will be directly opposite to switch S2.
Figure 4.19 Pulse performance for switch S4&S7
Here figure 4.19. Represents pulse performance for switch variation of both S4&S7, because the variation of switch for S4&S7 are same.
Figure 4. 20 Pulse performance for switch S5&S6
Like that in figure 4.20. The pulse performance for variation of switches S5&S7. Here the variation of switching S5&S7 are same.
Figure 4. 21 DC link voltage waveform
The figure 4.21. Shows the waveform of DC link voltage the waveforms can be occurred at regular interval time constant. This waveforms clearly explains about the voltage levels of the DC link.
Figure 4. 22 Output voltage waveform of seven level MLDCLI
The Figure 4.22 explains the derived output voltage levels of multi-level DC link inverter. Here the output voltage will be delivered at exact time gap and the range of output voltage will be explained in waveform.
4.6 SUMMARY:
The usage of novel control algorithms in multilevel dc link inverters reduces the effects of partial shading effects in photovoltaic systems. The conferred multilevel DC link inverter system consolidate a peculiar technique of obtaining the maximum energy from every single PV source to the load while preserving the performance of each PV source to their maximum power point under the partial shading. The delivered voltage waveform by varied partial shading levels were resolved by quick Fourier transform and the delivered output will exposes minor THD and also varied MPPT techniques were investigated. The table which explains about the modified P&O MPPT technique considered output with comparatively small distortion than the voltage hold P&O, Incremental Conductance and the modified P&O technique. Relevant MPPT may be signed depends on attainment index enforced in a picked utilization of MLDCI. Furthermore, the optimum performance of the PV modules under partial shading condition can be improved in the future workings.