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Friday 15 January 2021

Modified Cascaded H-bridge Multilevel Inverter for Hybrid Renewable Energy Applications

 ABSTRACT:

Renewable energy sources and technologies have the potential to provide solutions to the longstanding energy problems being faced by developing countries. The renewable energy sources like wind energy, solar energy, geothermal energy, ocean energy, biomass energy and fuel cell technology can be used to overcome energy shortage in India. This paper proposes a modified multi-level inverter (MLI) topology for Hybrid Renewable Energy Sources (HRES) and a design of hybrid solar-wind power generation model with 9-level, 13-level and 17-level inverter topologies. A HRES connected to a modified Cascaded H-Bridge Multi Level Inverter (CHB-MLI) is developed, whose switches are controlled using Artificial Neural Network (ANN) model. The proposed hybrid energy system model consists of 10 Metal Oxide Semiconductor Field Effect Transistors (MOSFETs) that intend to give 17 levels of output voltage. The proposed topology performs effectively with reduced number of components and reduced Total Harmonic Distortion (THD). The performance of the proposed system is analyzed by designing the model in MATLAB/SIMULINK environment. The simulation results of the proposed inverter for the HRES application are compared with the results of the existing topologies to show the effectiveness of the proposed model.

 KEYWORDS:

1.      Battery energy storage system (BESS)

2.      Modified cascaded H-bridge Multi-level inverter (MCHBMLI)

3.      Total harmonic distortion (THD)

 SOFTWARE: MATLAB/SIMULINK

CONCLUSION:

In this paper, 9-level, 13-level and 17-level inverters are designed by employing modified cascaded MLI, followed by ANN as a control approach for the inverter. Using the ANN method, the MPP exactly searching when the solar irradiance changes sharply, and it can make the system work under a stable mode. The advantage of the ANN-based PV model method is the fast MPP approximation according to the parameters of the PV panel. The proposed new MPPT algorithm can search the MPP fast and exactly based on the feedback voltage and current with different solar irradiance and temperature of the environment. The simulations are performed in MATLAB/SIMULINK environment. The output voltage waveform shows less distortion with a reduced number of power switches and is validated by calculating THD as a performance measure. The results attained from the proposed model exhibits superiority over the previously suggested models when compared. The proposed modified system can be analyzed in the future, with different sources such as fuel cell, diesel generator, etc. in the standalone microgrid topology. This is more cost-effective due to the use of reduced number of switches and other components. Thus it helps in improving the total harmonic distortions as per the IEEE 519 standards, in terms of power quality of the islanded microgrid. The limitation of the proposed topology is that, in case of a failure of one ofH-bridges, theMLI can still be operated with decreased number of levels. However, full power cannot be supplied to the load. This can be improved by designing a fault tolerant MLI topology in the future.

REFERENCES:

1. M. A. Rosen, and I. Dincer, “Exergy as the confluence of energy, environment and sustainable development,” Exergy Int. J., Vol. 1, pp. 3–13, 2001.

2. P. Thongprasri. “Capacitor voltage balancing in the dc-link five-level full-bridge diode-clamped multilevel inverter,” 2016.

3. C. L. Kuppuswamy, and T. A. Raghavendiran. “FPGA Implementation of Carrier Disposition PWM for Closed Loop Seven Level Diode Clamped Multilevel Inverter in Speed Control of Induction Motor,” 2018.

4. F. Khoucha, S. M. Lagoun, K. Marouani, A. Kheloui, and M. El Hachemi Benbouzid, “Hybrid cascaded H-bridge multilevel-inverter induction-motor-drive direct torque control for automotive applications,” IEEE Trans. Ind. Electron., Vol. 57, no. 3, pp. 892–899, 2010.

5. V. Jammala, S. Yellasiri, and A. K. Panda, “Development of a new hybrid multilevel inverter using modified carrier SPWM switching strategy,” IEEE Trans. Power Electron., Vol. 33, no. 10, pp. 8192–8197, 2018.

A Modified Cascaded H-Bridge Multilevel Inverter For Solar Applications

 ABSTRACT:

In this paper, a modified cascaded H-bridge multilevel inverter (MLI) is proposed and designed for solar applications. Generally, as the level of conventional multilevel inverter increases, the required number of switches and size increases. The proposed topology is cascade of unit stages which involves 5 switches and two voltage source; moreover a unit stage is capable of generating 5 levels. Also, the detailed analysis of cascaded multilevel inverter is discussed which incorporates three different methodologies involving less number of power devices in order to generate maximum number of levels. This results into reduction in gate drive circuitry and less switching losses. The proposed MLI is designed for power 1.5kW and Inphase level shifting SPWM technique has been incorporated in which 5kHz carrier wave is compared with 50Hz of sinusoidal wave with a modulation index of 0.8. As a result, total harmonic distortion (THD) is achieved as 4.71% with LC-filter for above mentioned multilevel inverter. The circuits are modeled and simulated with the help of MATLAB/SIMULINK.

KEYWORDS:

1.      Modified cascaded H-bridge MLI

2.       Solar

3.      SPWM techniques

4.      Total Harmonic Distortions

 SOFTWARE: MATLAB/SIMULINK

 CONCLUSION:

In this paper, a new topology of modified cascaded H bridge MLI is designed for solar high power application. The three different methodologies have been analyzed and 9-level, 13-level and 17-level output is observed in the respective methodology. The number of switches used in the topology is less which in turn reduced the corresponding gate driving circuitry and made the circuit compact in size. The circuits of proposed MLI are simulated in MATLAB/SIMULINK and total harmonic distortions for the three methodologies are obtained by using FFT analysis window. The lowest THD observed with LC-filter is 4.71%. The proposed MLI is designed for power 1.5kW and In-Phase level shifting method is followed for the pulse generation for all three methodologies.

REFERENCES:

[1] Wei Zhao; Hyuntae Choi; G. Konstantinou; M. Ciobotaru; and V. G. Agelidis “Cascaded H-bridge Multilevel Converter for Large-scale PV Grid-Integration with Isolated DC-DC stage” PEDG, IEEE 2012.

[2] S. Rivera; S. Kouro; B. Wu; J. I. Leon; J. Rodriguez; and L. G. Franquelo "Cascaded H-bridge multilevel converter multistring topology for large scale photovoltaic systems," IEEE ISIE 2011, pp.1837-1844.

[3] N.A. Rahim; K. Chaniago; and J. Selvaraj "Single-Phase Seven-Level Grid Connected Inverter for Photovoltaic System", IEEE Transactions on Industrial Electronics, Vol. 58, No. 6, June 2011, pp. 2435-2443

[4] B. Singh; N. Mittal; and K. S. Verma “Multi-Level Inverter: A Literature Survey On Topologies And Control Strategies”, International Journal of Reviews in Computing, Vol. 10, July 2012, pp. 1-16

[5] Zhiguo pan; F .Z Peng; Victor Stefanoic; and Mickey Leuthen “A Diode-Clamped Multilevel Converter with Reduced Number of Clamping Diodes.”2004 IEEE.

Tuesday 12 January 2021

A Novel Multilevel Multi-Output Bidirectional Active Buck PFC Rectifier

 ABSTRACT:

 

This paper presents a new family of buck type PFC (power factor corrector) rectifiers that operates in CCM (continuous conduction mode) and generates multilevel voltage waveform at the input. Due to CCM operation, commonly used AC side capacitive filter and DC side inductive filter are removed from the proposed modified packed U-cell rectifier structure. Dual DC output terminals are provided to have a 5-level voltage waveform at the input points of the rectifier where it is supplied by a grid via a line inductor. Producing different voltage levels reduces the voltage harmonics which affects the grid current harmonic contents directly. Low switching frequency of the proposed rectifier is a distinguished characteristic among other buck type rectifiers that reduces switching losses and any high switching frequency related issues, significantly. The proposed transformer-less, reduced filter and multilevel rectifier topology has been investigated experimentally to validate the good dynamic performance in generating and regulating dual 125V DC outputs terminals as telecommunication boards feeders or industrial battery chargers under various situation including change in the loads and change in the in main grid voltage amplitude.

KEYWORDS:

1.      Packed U-Cell

2.      PUC5

3.      HPUC

4.      Buck PFC rectifie

5.       Multilevel converter

6.      Power quality

 SOFTWARE: MATLAB/SIMULINK

CONCLUSION:

In this paper a 5-level rectifier operating in buck mode has been proposed which is called HPUC as a slight modification to PUC multilevel converter. It has been demonstrated that the proposed rectifier can deceive the grid by generating maximum voltage level of 250V at AC side as boost mode while splitting this voltage value at its two output terminals to provide buck mode of operation with 125V DC useable for battery chargers or telecommunication boards’ feeder. Although it has more active switches than other buck rectifier topologies and some limitations on power balance between loads, overall system works in boost mode and CCM which results in removing bulky AC and DC filters that usually used in conventional buck PFC rectifiers. Moreover, generating multilevel waveform leads to reduced harmonic component of the voltage waveform and consequently the line current. It also aims at operating with low switching frequency and small line inductor that all in all characterizes low power losses and high efficiency of the HPUC rectifier. Comprehensive theoretical studies and simulations have been performed on power balancing issue of the HPUC rectifier. Full experimental results in steady state and during load and supply variation have been illustrated to prove the fact that HPUC topology can be a good candidate in a new family of buck bridgeless PFC rectifiers with acceptable performance. Future works can be devoted to developing robust and nonlinear controllers on the proposed rectifier topology.

REFERENCES:

[1] M. Mobarrez, M. G. Kashani, G. Chavan, and S. Bhattacharya, "A Novel Control Approach for Protection of Multi-Terminal VSC based HVDC Transmission System against DC Faults," in ECCE 2015- Energy Conversion Congress & Exposition, Canada, 2015, pp. 4208- 4213.

[2] IEEE, "IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems," in IEEE Std 519-2014 (Revision of IEEE Std 519-1992), ed, 2014, pp. 1-29.

[3] IEC, "Limits for Harmonic Current Emissions (Equipment Input Current_ 16A Per Phase),"in IEC 61000-3-2 (Ed. 3.2, 2009), ed, 1995.

[4] B. Singh, B. N. Singh, A. Chandra, K. Al-Haddad, A. Pandey, and D. P. Kothari, "A review of single-phase improved power quality ACDC converters," IEEE Trans. Ind. Electron., vol. 50, no. 5, pp. 962- 981, 2003.

[5] H. Choi, "Interleaved boundary conduction mode (BCM) buck power factor correction (PFC) converter," IEEE Trans. Power Electron., vol. 28, no. 6, pp. 2629-2634, 2013.

Tuesday 22 December 2020

Model predictive-based shunt active power filter with a new reference current estimation strategy

 ABSTRACT:  

This study presents a new reference current estimation method using proposed robust extended complex Kalman filter (RECKF) together with model predictive current (MPC) control strategy in the development of a three-phase shunt active power filter (SAPF). A new exponential function embedded into the RECKF algorithm helps in the estimation of in phase fundamental component of voltage (vh) at the point of common coupling considering grid perturbations such as distorted voltage, measurement noise and phase angle jump and also for the estimation of fundamental amplitude of the load current (ih). The estimation of these two variables (vh, ih) is used to generate reference signals for MPC. The proposed RECKF-MPC needs less number of voltage sensors and resolves the difficulty of gain tuning of proportional–integral (PI) controller. The proposed RECKF-MPC approach is implemented using MATLAB/SIMULINK and also Opal-RT was used to obtain the real-time results. The results obtained using the proposed RECKF together with different variants of Kalman filters (Kalman filter (KF), extended KF (EKF) and extended complex KF (ECKF)) and PI controller are analysed both in the steady state as well as transient state conditions. From the above experimentation, it was observed that the proposed RECKF-MPC control strategy outperforms over PI controller and other variants of Kalman filtering approaches in terms of reference tracking error, power factor distortion and percentage total harmonic distortion in the SAPF system.

 

SOFTWARE: MATLAB/SIMULINK

 CIRCUIT DIAGRAM:

 





Fig.1a Proposed RECKF-MPC-based SAPF

 EXPERIMENTAL RESULTS:

 


Fig.2 Capacitor voltage response in SAPF in steady state for KF, EKF, ECKF, RECKF and PI with

a MATLAB b Real-time Opal-RT (voltage scale: 100 V/div, time scale: 10 ms/div), compensating current response in SAPF in steady state for KF, EKF, ECKF, RECKF and PI with c MATLAB d Real-time Opal-RT (current scale: 15 A/div, time scale: 10 ms/div)

 

 


 Fig. 3 Continued


 
Fig. 4 Load current response of SAPF in steady state with a MATLAB b Opal-RT (current scale: 12.5 A/div, time

scale: 10 ms/div)

 

 


 Fig. 5 Actual and reference source current response in SAPF in steady state for KF, EKF, ECKF, RECKF and PI with a MATLAB b Real-time Opal-RT (current scale: 12.5 A/div, time scale: 10 ms/div), source voltage and source current after compensation in SAPF in steady state for KF, EKF, ECKF, RECKF and PI with c MATLAB d Real-time Opal-RT (current scale: 25 A/div, time scale: 10 ms/div)

 

 

Fig. 6 Continued

 


Fig. 7 Transient state response in SAPF system for PI and RECKF with MATLAB

a Load current

b Capacitor voltage

c Compensating current

d Source voltage and source current


 
Fig. 8 Transient state response in SAPF system for PI and RECKF with real-time Opal-RT

a Load current b Capacitor voltage c Compensating current d Source voltage and source current (for (a), (c) and (d), current scale: 25 A/div and for (b), voltage scale: 125 V/div, time scale: 20 ms/div)

 CONCLUSION:

In this paper, a model predictive-based SAPF with a new reference current estimation scheme has been presented. This scheme exploits the estimation of in phase fundamental component of distorted PCC voltage along with the estimation of fundamental amplitude of load current using KF, EKF, ECKF and proposed RECKF algorithms. The proposed RECKF algorithm is based on applying a new weighted exponential function as a factor to limit the variation of innovation vector, to restrain the unusual measured value and to enhance the estimated accuracy with consideration of grid perturbations such as voltage distortion, measurement noise and phase angle jump. MPC strategy presented in this paper is very simple and powerful and advantageously considers the discrete nature of power converters. In addition, it is not necessary to include any type of modulator and the drive signals for the IGBTs are generated directly by this control. The proposed RECKF-MPC control strategy avoids the use of external linear and non-linear controllers; hence a cheaper control strategy can be implemented while high performance is maintained. The performances of the proposed RECKF-MPC-based SAPF have been verified both in steady state and transient state conditions. The proposed RECKF approach overcomes difficulties encountered with the fixed-gain PI controller, such as flexibility and robustness over stabilisation of capacitor voltage when changing loads.

Determination of current reference and current controller for SAPF is one of the most important issues in improvement of power quality. From the real-time and simulation results, it is observed that RECKF-MPC exhibits excellent tracking performance thus is a better control approach to SAPF design in steady state as well as transient state condition which improves power quality more effectively in terms of efficient harmonics mitigation, power factor improvement and tracking error reduction in presence of above all grid perturbations.

 

REFERENCES:

 1 Grady,W.M., Samotyj, M.J., Noyola, A.H.: ‘Survey of active power line conditioning methodologies’, IEEE Trans. Power Deliv., 1990, 5, pp. 1536–1542

2 Heydt, G.T.: ‘Electric power quality’ (Stars in a Circle, West Lafayette, IN, 1991)

3 Clark, J.W.: ‘AC power conditioners – design, applications’ (Academic, San Diego, CA, 1990)

4 Rastogi, M., Mohan, N., Edris, A.A.: ‘Hybrid-active filtering of harmonic currents in power systems’, IEEE Trans. Power Deliv., 1995, 10, pp. 1994–2000

5 Akagi, H., Kanazawa, Y., Nabae, A.: ‘Instantaneous reactive power compensators comprising switching devices without energy storage components’, IEEE Trans. Ind. Appl., 1984, IA-20, pp. 625–630

Model Predictive Control for Shunt Active Filters With Fixed Switching Frequency

 ABSTRACT:  

This paper presents a modification to the classical Model Predictive Control algorithm, named Modulated Model Predictive Control, and its application to active power filters. The proposed control is able to retain all the advantages of a Finite Control Set Model Predictive Control whilst improving the generated waveforms harmonic spectrum. In fact a modulation algorithm, based on the cost function ratio for different output vectors, is inherently included in the MPC. The cost function based modulator is introduced and its effectiveness on reducing the current ripple is demonstrated. The presented solution provides an effective and straightforward single loop controller, maintaining an excellent dynamic performance despite the modulated output and it is self-synchronizing with the grid. This promising method is applied to the control of a Shunt Active Filter for harmonic content reduction through a reactive power compensation methodology. Significant results obtained by experimental testing are reported and commented, showing that MPC is a viable control solution for active filtering systems.

KEYWORDS:

1.      Smart Grids

2.      Power Quality

3.      Active Filters

4.      Power Filters

5.      Harmonic Distortion

6.      Model Predictive Control

SOFTWARE: MATLAB/SIMULINK

 BLOCK DIAGRAM:


Fig.1: Schematic diagram of a FCS-MPC.

EXPERIMENTAL RESULTS:

 


(a)


(b)


(c)

              Fig.2: M2PC sensitivity to filter inductance variation: (a) Lf = 2.375mH (b) Lf = 4.75mH (c) Lf = 9.5mH.

 

CONCLUSION:

Power quality regulation is a relevant topic in modern electrical networks. Improving the quality of the delivered energy is an important characteristic in the new smart grids where there is an increasing demand of dynamic, efficient and reliable distribution systems. The use of active filters becomes therefore vital for the reduction of harmonic distortions in the power grid. This paper has presented the development and the implementation of a SAF for harmonic distortion reduction regulated by an improved Modulated Model Predictive Controller.

Based on the system model, it dynamically predicts the values of all the variable of interest in order to obtain a multiple control target optimization by minimizing a user defined cost function. Moreover the higher current ripple typical of MPC has been considerably reduced by introducing a cost function based modulation strategy without compromising the dynamic performances. A SAF prototype implementing the proposed solution was then described, finally reporting and commenting the promising experimental tests results both in transient conditions and steady-state. It was hence demonstrated that FCS-M2PC is a viable and effective solution for control of active power compensators, where different systems variables can be regulated with the aid of only a single control loop, with no need for grid synchronization devices.

 REFERENCES:

[1] P. Salmeron and S. P. Litran, “Improvement of the Electric Power Quality Using Series Active and Shunt Passive Filters,” IEEE Trans. Power Del., vol. 25, no. 2, pp. 1058–1067, 2010.

[2] H. Johal and D. Divan, “Design Considerations for Series-Connected Distributed FACTS Converters,” IEEE Trans. Ind. Appl., vol. 43, no. 6, pp. 1609–1618, 2007.

[3] D. Divan and H. Johal, “Distributed FACTS—A New Concept for Realizing Grid Power Flow Control,” IEEE Trans. Power Electron., vol. 22, no. 6, p. 2253, 2007.

[4] B. Singh, K. Al-Haddad, and A. Chandra, “A review of active filters for power quality improvement,” IEEE Trans. Ind. Electron., vol. 46, no. 5,pp. 960–971, 1999.

[5] M. L. Heldwein, H. Ertl, J. Biela, D. Das, R. P. Kandula, J. A. Munoz, D. Divan, R. G. Harley, and J. E. Schatz, “An Integrated Controllable Network Transformer—Hybrid Active Filter System,” IEEE Trans. Ind. Appl., vol. 51, no. 2, pp. 1692–1701, 2015.

Tuesday 15 December 2020

Design and Hardware Implementation Considerations of Modified Multilevel Cascaded H-Bridge Inverter for Photovoltaic System

 ABSTRACT:  

 Inverters are an essential part in many applications including photovoltaic generation. With the increasing penetration of renewable energy sources, the drive for efficient inverters is gaining more and more momentum. In this work, output power quality, power loss, implementation complexity, cost, and relative advantages of the popular cascaded multilevel H-bridge inverter, and a modified version of it are explored. Optimal number of levels, and the optimal switching frequency for such inverters are investigated, and a 5-level architecture is chosen considering the trade-offs. This inverter is driven by level shifted in-phase disposition pulse width modulation technique to reduce harmonics, which is chosen through deliberate testing of other advanced disposition pulse width modulation techniques. To reduce the harmonics further, the application of filters is investigated, and an LC filter is applied which provided appreciable results. This system is tested in MATLAB/Simulink, and then implemented in hardware after design and testing in Proteus ISIS. The general cascaded multilevel H-bridge inverter design is also implemented in hardware to demonstrate a novel low-cost MOSFET driver build for this study. The hardware setups use MOSFETs as switching devices and low-cost ATmega microcontrollers for generating the switching pulses via level shifted in-phase disposition pulse width modulation. This implementation substantiated the effectiveness of the proposed design.

 KEYWORDS:                                                               

 

1.      Inverter

2.      Multilevel Inverter

3.      Cascaded H-Bridge

4.      Modified Cascaded H-Bridge

5.      Advanced PWM Techniques

6.      MOSFET Driving Technique

7.      Level Shifted In-Phase Disposition Pulse Width Modulation

 

SOFTWARE: MATLAB/SIMULINK

CIRCUIT DIAGRAM:

 


FIGURE 1. (a) General structure of multilevel inverter. Each 4-switch block represents an H-bridge, each equipped with its own DC source. (b) Modified 5 level inverter configuration: this one uses 6 switches instead of the 8 required in the general structure.

 

EXPERIMENTAL RESULTS:


FIGURE 2. Outputs of 5-level general and modified CHB at 2 kHz switching frequency. The general CHB signal quality is better than the modified CHB signal quality because of the presence of non-linearity in the modified design.



 

FIGURE 3. Outputs of 5-level general and modified CHB at 6 kHz switching frequency. The general CHB signal quality is better than the modified CHB signal quality because of the presence of non-linearity in the modified design.



(a)


(b)

FIGURE 4. (a) The filtered and unfiltered output voltage of the modified CHB for 4 kHz PWM switching frequency, and (b) the filtered output current of the modified CHB for 4 kHz PWM switching frequency.

CONCLUSION:

In this work, a single phase modified 5-level symmetric cascaded multilevel H-bridge (CHB) inverter with 6 switches has been presented. This reduction in switches has reduced the cost, complexity, area requirement, and losses, while improving efficiency. The CHB architecture has been chosen over other designs because of its unique advantages. These benefits of CHB- namely, the optimum number of levels in the CHB, and the optimum switching frequency – have been investigated thoroughly. A 7-level CHB with 6 kHz switching frequency has appeared as the best performing system in this study. However, this performance has been achieved for unfiltered outputs. In this paper, an LC filter has been used to reduce THD in the output significantly. When this filter is used, both 5-level and 7-level CHBs have demonstrated almost equal THD levels. Thus the less complex, and hence more practical, 5-level design has been chosen. Also, advanced PWM techniques have been investigated to determine their effectiveness in reducing the THD, and level shifted in-phase disposition PWM technique has been selected to be used in the proposed system as it has provided the best performance. Because of the use of PWM switching, the switching frequency has also been much higher than 7 kHz – which has increased the switching losses, but the resulting reduction in THD has immensely improved the inverter performance. As a result, the increased switching losses can be safely neglected. After obtaining satisfactory simulation results in MATLAB/Simulink, this system has been designed and tested in Proteus for hardware implementation, and then implemented in hardware using MOSFETs and ATmega microcontrollers. The hardware outputs have deviated a bit from the simulation results, and the use of transformers to aid in measurement has been identified as the reason. A use-case of the proposed inverter has also been presented. Future expansion of this work can focus on applying this design in real-life standalone and/or grid-connected PV system.

 REFERENCES:

[1] K. Sano and M. Takasaki, "A transformerless D-STATCOM based on a multivoltage cascade converter requiring no DC sources," IEEE transactions on power electronics, vol. 27, pp. 2783-2795, 2012.

[2] B. Gultekin and M. Ermis, "Cascaded multilevel converter-based transmission STATCOM: System design methodology and development of a 12 kV±12 MVAr power stage," IEEE transactions on power electronics, vol. 28, pp. 4930-4950, 2013.

[3] H. Abu-Rub, J. Holtz, J. Rodriguez, and G. Baoming, "Medium-voltage multilevel converters—State of the art, challenges, and requirements in industrial applications," IEEE Transactions on Industrial Electronics, vol. 57, pp. 2581-2596, 2010.

[4] A. Balikci and E. Akpinar, "A multilevel converter with reduced number of switches in STATCOM for load balancing," Electric Power Systems Research, vol. 123, pp. 164-173, 2015.

[5] J. S. Lee, H. W. Sim, J. Kim, and K. B. Lee, "Combination Analysis and Switching Method of a Cascaded H-Bridge Multilevel Inverter Based on Transformers With the Different Turns Ratio for Increasing the Voltage Level," IEEE Transactions on Industrial Electronics, vol. 65, pp. 4454-4465, 2018.