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## Comparison Of Fractional Order PID And

## Fuzzy-Logic-Controlled PV Cascaded-Re-Boost-Inverter

## System With Improved Dynamic Response

**Umasankar.L, Srinath.S, Praveen.S , Nirmal Kannan R, Surya S**

**ABSTRACT:** PV-based- re-boost cascaded - inverter framework is-utilized for-power-quality-enhancement. This effort deals with modeling of
FOPID(Fractional order Porportional Integral Derivative Controller) and fuzzy-logic controlled–re-boost-converter with multi level inverter system using
PV as source. ‗_The-simulink-model for- Re-Boost-converter with multi level Inverter-System has been-developed using the-elements of Simulink
&closed-loop-investigations are executeed with FOPID&Fuzzy-logic-Controllers‘. The dynamic responses of the above systems are compared in terms
of time domain parameters. The outcomes represent that superior performance of FL-controlled closed loop reboost converter with MLI.

**Index terms:** Multi Level Inverter (MLI), Fractional order PID Controller (FOPID), dynamic response, Fuzzy Logic Controller (FLC), steady state error.

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**1.**

**INTRODUCTION **

Sin-WooLee [1] proposed‘-a high-advance up-coupled-inductor course-boost-dc-dc converter with lossless-latent-snubber‘. -In spite of the fact that a-traditional course-boost-converter had bigger-voltage increase-contrasted with a-boost-converter, it was as yet not-appropriate for high- advance-up voltage-transformation. -In the proposed-converter, a CI was received for the cascaded-boost-converter to further expand the voltage-gain. Mohamed.O.-Badawy [2] exhibited another double switch control structure for an ac/dc non inverting cascaded buck boost PFC converter. The proposed converter worked at an intermittent capacitor voltage mode giving a characteristic high-control factor and a zero-voltage turn-off exchanging. Lucas-Vizzotto-Bellinaso-[3] proposed a-course-control-structure dependent on an internal-non-direct-current-controller and an external-versatile voltage-internal-non-direct-current-controller with quick-location of the PV-exhibit's model without requiring additional-current-sensor. Taeho-Bang-[4] depicted the improvement of another buck-cascaded-buck-boost-PFC-converter of 2kW with a delicate exchanging-strategy. For its wide scope of information voltage, it worked in both buck &boost-modes. The parameters were appropriately chosen to suffer voltage and current-stress in every single working reach. Sze Sing Lee [5] proposed a solitary stage-exchanged capacitor-module-topology for MLI, which guarantees the pinnacle reverse voltage over every one of the switches inside the dc source voltage. An aggregate of nine voltage levels can be created with just a single dc source and two consolidated capacitors. Mohammad Lotfi Nejad [6] proposed another cascade-boost-converter topology with decreased conduction misfortunes. This converter shows decreased root-mean-square flows of the circuit components and diminished conduction misfortunes. Satyajit Hemant Chincholkar [7] presented a similar investigation of direct current-mode controllers for the guideline of a 2stage-cascaded-boost-converter having a solitary dynamic switch. The current-mode controllers utilized in this examination are planned utilizing the info and yield inductor flows of the converter. "-An EMI-model for a 2stage-cascaded-boost-converter" was introduced by Taekyun Kim [8] to recognize its commotion sources. To delineate the impacts of exchanging speeds on EMI age potential, the connections between the time area and the recurrence-domain with all-SiC and SiC-Si gadget blends

are given. JingrongYu [9] proposed a novel delicate exchanging control without zero-crossing identification for the fell buck-boost-converters. The proposed delicate exchanging control comprises of two sections delicate exchanging balance & closed-loop-control. In the adjustment, the utilized PWM-approach was developed by bringing a little negative-current into the traditional PWM, and the delicate exchanging regulation dependent on the negative-current-based PWM was displayed by including another exchanging procedure constrained by a balance variable in the CBBC. Another flower pollination algorithm with the capacity to achieve worldwide pinnacle" was proposed by J. Prasanth Ram [10]. Advancement process in FPA strategy performs worldwide and nearby pursuit in single stage and it was a key device for its accomplishment in MPPT-relevance. Jyri Kivimäki [11] presented perturbation recurrence and perturbation step size plan rules for such frameworks. It was appeared while perturbation-step size plan was like that of single loop structures perturbation recurrence configuration is very unique. Mostefa-Kermadi [12] proposed an improved MPPT for PV-framework. The plan was a hybrid between the perturb and observe &Particle Swarm Optimization (PSO). The calculation joined the-search-judge-system to limit the district inside the P-V bend to be looked by the PSO. J. Saikrishna-Goud [13] exhibited a hybrid-Global-MPPT calculation for steady voltage load applications utilizing a solitary current sensor. Another methodology for PV-exhibits demonstrating and greatest power point estimation in genuine working conditions was displayed by Mahdi Jedari Zare Zadeh [14].

**2.**

**SYSTEM**

**DESCRIPTION **

**Fig-1**. Block Diagram of Open-Loop-RBCI-System

**2.1DESIGN OF RBCISYSTEM**

Procuring the values of V1, I1 & frequency of MOSFET provides the design. Based on obligatory capacitor-voltage, the duty-ratio is calculated using the equation

V0 =

( ) ……….. (1)

Efficiency of the converter to calculate the output current is

η = …….. (2)

The values of L & C are calculated by assuming ΔI & ΔV are

ΔV =

……... (3)

Δ I =

……... (4)

Voltage to be injected is equal to IZ. The active filter is designed to supply fifth harmonic. The value of C5 is assumed and L5 is calculated with formula

f =

( )

……... (5) Pulse width for switches of inverter is .

**3**

**CLOSED**

**LOOP**

**RBCI**

**SYSTEM**

**3.1FOPIDCONTROL SYSTEM**

The FOPID controller was first displayed by Podlubny. A piece diagram that addresses theFOPID control with RBCI structure delineates in Figure 2. The exchanging capacity of a FOPID controller shows up as

CFOPID(s) = KP+KI/sλ + KD sμ

……… (6)

Where λ is ‗the order of an integral part‘, μ is ‗the order of the derivative part‘, while ‗KP, KI, and KD‘ are the controller as in a conventional PID controller. Fig2 delineates the Block Diagram of closed loop FOPID controlled Single-Phase Re Boost Converter with Multi Level Inverter

**3.2FLCONTROL SYSTEM**

FLC has demonstrated compelling for complex, non-straight and loosely characterized forms for which standard model-based control systems are unrealistic or outlandish. FL, in contrast to boolean or fresh rationale, manages issues that have dubiousness and vulnerability, and utilizations enrollment capacities with values fluctuating somewhere in the range of 0 and 1. FL will in general copy human reasoning that is frequently fuzzy in nature. A closed loop diagram that addresses the FOPID control with RBCI structure delineates in Figure 3.

**Fig 3**. Block Diagram of Single-Phase Re Boost

Converter with Multi Level Inverter closed loop FL controller

**4.**

**S**

**IMULATION**

**R**

**ESULTS AND**

**D**

**ISCUSSIONS**

**4.1 REBOOST CONVERTER WITH MULTILEVEL **

**INVERTER &SOURCE DISTURBANCE**

Circut diagram of reboost converter with multilevel inverter &source disturbance is shown in Fig 4.

**Fig 4** Circuit diagram of re-boost converter with multilevel *inverter &source disturbance *

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**Fig 5.** Input voltage

Voltage across reboost converter with multilevel inverter &source disturbance is shown in Fig 4.2. The value of Voltage across reboost converter gradullay increases to 225 Volts with steady state and it is stable.

**Fig 6 **Voltage across reboost converter

Voltage across RL load reboost converter with multilevel inverter &source disturbance is shown in Fig 7 and its value is 230 Volts.

**Fig 7 **Voltage across RL load

Current through RL load of reboost converter with multilevel inverter &source disturbance is shown in Fig 8 and its value is 1.7 Amp.

**Fig 8** Current through RL load

RMS Voltage across RL load of re-boost converter with multilevel inverter &source disturbance is shown in Fig 9. The value of RMS Voltage across RL load gradullay increases to 199 Volts with steady state and it is stable.

**Fig 9**. RMS Voltage across RL load

Output power of re-boost converter with multilevel inverter &source disturbance is shown in Fig 10. The value of output power gradullay increases to 220 Watts with steady state and ripples are observed stable.

**Fig 10** Output power

**4.2CLOSED LOOP FOPID CONTROLLED REBOOST CONVERTER **

**WITH MULTILEVEL INVERTER **

Circuit diagram of closed loop FOPID controlled reboost converter with multilevel inverter is shown in Fig 11.

**Fig 11** Circut diagram of closed loop FOPID controlled reboost converter with multilevel inverter

Input voltage of closed loop FOPID controlled reboost converter with multilevel inverter is shown in Fig 12 and its value is 125 Volts.

**Fig 12** Input voltage

Voltage across re-boost converter of closed loop FOPID controlled with multilevel inverter is shown in Fig 13. The value of voltage gradually increases to 230V and then decreaases to 199 Volts with steady state and its is stable. Voltage across RL load of closed loop FOPID controlled reboost converter with multilevel inverter is shown in Fig 14 and its value is 200 Volts.

** ****Fig 13** Voltage across re-boost converter

**Fig 14** Voltage across RL load

Current through RL load of closed loop FOPID controlled reboost converter with multilevel inverter is shown in Fig 15 and its value is 1.5 Amp.

**Fig 15** Current through RL load

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**Fig 16** RMS Voltage across RL load

Output power of closed loop FOPID controlled reboost converter with multilevel inverter is shown in Fig 17 and its value is 150 Watts.

**Fig 17** Output power

**4.3CLOSED LOOP FL CONTROLLED REBOOST CONVERTER WITH **

**MULTILEVEL INVERTER **

Circuit diagram of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 18. Input voltage of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 19 and its value is 125 Volts. Voltage across reboost converter of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 20. The value of Voltage across reboost converter gradually increases to 200 Volts with steady state and it is stable. Voltage across RL load of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 21 and its value is 220 Volts. Current through RL load of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 22 and its value is 1.4 Amp. RMS Voltage across RL load of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 23. The value of RMS Voltage across RL load gradually increases to 160 Volts with steady state and it is stable. Output power of closed loop FL controlled reboost converter with multilevel inverter is shown in Fig 24. The value of output power gradually increases to 155 Watts with steady state and it is stable.

* Fig 18 Circuit diagram of closed loop FL*controlled re-boost
converter with multi-level inverter

**Fig 19** Input voltage

**Fig 20** Voltage across reboost converter

**Fig 21** Voltage across RL load

**Fig 22** Current through RL load

**Fig 24** Output power

Comparison of Time-Domain-Parameters using FOPID &FL-Controller is given in Table-1. By using FL controller, rise-time is diminished from 1.55 Sec to 0.96 Sec; settling-time is diminished from 4.0 Sec to 1.6 Sec; peak-time is diminished from 3.2 Sec to 0.98 Sec; the-steady-state-error is diminished from 1.8 RPM to 0.7 RPM. Hence, the outcome represents that the FL controlled Closed loop Re-boost converter with MLI is superior to FOPID controlled Closed loop Re-boost converter with MLI. Bar chart Comparison of time domain parameters using FOPID and FL controller is shown in fig 24.

**Table 1.** Summary of time domain parameters using *FOPID and FLC *

**Fig. 24** Bar chart comparison of time domain

Parameters FOPID and FL controller

**5.**

**EXPERIMENTAL-RESULTS **

Single-Phase Re-Boost Converter with Multi Level Inverter Based transiormerless PV Inverter System Hardware snap shot is appeared in Fig 25. Input voltage is shown in fig 26, Switching pulse of Re boost converter M1,M2 is shown in fig 27, Voltage across Reboost converter is shown in fig 28, Switching pulse of multilevel inverter S1,S3 is shown in fig 29, Switching pulse of multilevel inverter S5,S7 is shown in fig 30, Output voltage across multilevel inverter is shown in fig 31 and Output current through R load is appeared in Fig 32.

**Fig 25** Hardware snap shot

**Fig 26** Input voltage

**Fig 27** Switching pulse of Re boost converter M1,M2

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**Fig 29** Switching pulse of multilevel inverter S1,S3

**Fig 30** Switching pulse of multilevel inverter S5,S7

**Fig 31** Output voltage across multilevel inverter

**Fig 32** Output current through R load

**Table -**2 List of components rating

S.No Name Rating disc

1) Capacitor 1000E-03 Electrolytic‘ 2) Capacitor 4.70E-05 PN Junction 3) Capacitor 3.30E-11 ferrite coil 4) Capacitor 2.20E-03 N-channel 5) Diode 1000V ,3A Quarter watts 6) Inductance 10uH

7) MOSFET (IR840)

600V,8A

8) Resistor 1k L7812/TO3

9) Resistor 100E L7805/TO220 10) Resistor 22E Opto-coupler

11) Regulator 12V RISC

12) Regulator 5V General

13) IC IR2110 disc

14) PI controller PIC16F84A Electrolytic

**6.**

**CONCLUSION **

This work deals with the analysis, design and simulation of FOPID and FL controlled closed loop Re-boost converter with MLI. The outcome is compared in terms of time domain parameters like settling time and steady state error. By using FL controller, the-rise-time is diminished from 1.55 Sec to 0.96 Sec; the-settling-time is diminished from 4.0 Sec to 1.6 Sec; the-peak-time is diminished from 3.2 Sec to 0.98 Sec; the-steady-state-error is diminished from 1.8RPM to 0.7RPM. Both settling time and steady state error are reduced using FLC. Hence, the outcome represents that the FL controlled Closed loop Re-boost converter with MLI is superior to FOPID controlled Closed loop Re-boost converter with MLI. The-present-effort deals -with-comparison-of-responses-of- FOPID and FL controlled closed loop Re boost converter with MLI. The SM controlled closed loop Re boost converter with MLI can be done in future.

**REFERENCES **

[1]. QingyunHuang; ,AlexQ.Huang ―High step-up coupled inductor cascade boost dc-dc-converter with lossless passive snubber‖ IEEE transaction on PE,2019,Vol 34,Issue-8

[2]. Mohamed O.Badawy ,YilmazSozer, ―A novel control for a cascaded buck boost PFC converter operating in discontinuous capacitor voltage mode‖, IEEE transaction on IE 2016,Vol 63, Issue-7

[3]. Lucas Vizzotto, Bellinaso , ―Cascade control with adaptive voltage controller applied to photovoltaic boost converters‖, IEEE transaction on IA, 2019,Vol 55,Issue-2.

[4].TaehoBang ; Jung Wook Park,―Development of a ZVT PWM buck cascaded buck–boost PFC converter of 2KW with the wide strange of input voltage‖, IEEE transactions on IE, 2018,Vol 65, Issue-3.

[5]. SzeSingLee,―Single stage switched capacitor module (S3CM) topology for cascaded mult-ilevel inverter‖, IEEE transactions on PE, 2018,Vol 33, Issue-10.

[6]. Mohammad, BehzadPoorali ,―New cascade boost converter with reduced losses‖, IET Power Electronics, 2016 ,Vol 9, Issue- 6

[7]. SatyajitHemant, ChokYouChan,‖Investigation of current mode controlled cascade boost converter systems dynamics & stability issues‖, IET Power Electronics, 2016, Vol 9, Issue-5

is include soft computing, Transients in Power System and power Quality. His current research interests are Fault Diagnosis in Transformer, Inrush current identification, and Real time Fault analysis and communication system.

Praveen.S pursuing Bachelor‘s degree in Electrical and Electronics Engineering from R.M.K College of engineering and technology. His area of research interests are Power plantengineering and Electrical machines.

Nirmal kannan.R, pursuing Bachelor‘s degree in Eectrical and Electronics Engineering from R.M.K College of engineering and technology. His area of interests are power plant engineering and Electrical machines.

Srinath S, pursuing Bachelor‘s degree in Eectrical and Electronics Engineering from R.M.K College of engineering and technology. His area of interests are power system, Power plant engineering and Automation.