Fault Diagnosis and Reconfiguration for Multilevel...

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2954 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Fault Diagnosis and Reconfiguration for Multilevel Inverter Drive Using AI-Based Techniques Surin Khomfoi, Member, IEEE, and Leon M. Tolbert, Senior Member, IEEE Abstract—A fault diagnostic and reconfiguration method for a cascaded H-bridge multilevel inverter drive (MLID) using artificial-intelligence-based techniques is proposed in this paper. Output phase voltages of the MLID are used as diagnostic signals to detect faults and their locations. It is difficult to diagnose an MLID system using a mathematical model because MLID systems consist of many switching devices and their system complexity has a nonlinear factor. Therefore, a neural network (NN) classification is applied to the fault diagnosis of an MLID system. Multilayer perceptron networks are used to identify the type and location of occurring faults. The principal component analysis is utilized in the feature extraction process to reduce the NN input size. A lower dimensional input space will also usually reduce the time necessary to train an NN, and the reduced noise can improve the mapping performance. The genetic algorithm is also applied to select the valuable principal components. The proposed network is evaluated with simulation test set and experimental test set. The overall classification performance of the proposed network is more than 95%. A reconfiguration technique is also proposed. The proposed fault diagnostic system requires about six cycles to clear an open-circuit or short-circuit fault. The experimental results show that the proposed system performs satisfactorily to detect the fault type, fault location, and reconfiguration. Index Terms—Fault diagnosis, multilevel inverter, neural net- work (NN), reconfiguration. I. I NTRODUCTION I NDUSTRY has begun to demand higher power ratings, and multilevel inverter drives (MLIDs) have become a so- lution for high-power applications in recent years. A multi- level inverter not only achieves high-power ratings but also enables the use of renewable energy sources. Renewable energy sources such as photovoltaic, wind, and fuel cells can be easily interfaced to a multilevel converter system for a high- power application. The cascaded multilevel inverter is one of the more optimistic solutions for high-power drives or large traction drives [1], [2]. A possible structure of a three-phase cascaded multilevel inverter for a high-power drive is illustrated in Fig. 1. The series of H-bridges makes for modularized layout and packaging; as a result, this will enable the manufacturing process to be done more quickly and cheaply. Manuscript received December 20, 2006; revised August 9, 2007. S. Khomfoi is with the Department of Electrical Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand (e-mail: [email protected]). L. M. Tolbert is with the Department of Electrical and Computer Engi- neering, University of Tennessee, Knoxville, TN 37996-2100 USA (e-mail: [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIE.2007.906994 Fig. 1. Three-phase wye-connection structure for high-power motor drive. In addition, the reliability analysis reported in [2] indicates that the fault tolerance of cascaded MLID had the best life- cycle cost. However, if a fault (open or short circuit) occurs at a semiconductor power switch in a cell, it will cause an unbalanced output voltage and current, while the traction motor is operating. The unbalanced voltage and current may result in vital damage to the traction motor if the traction motor is run in this state for a long time. Generally, the passive protection devices will disconnect the power sources or gate drive signals from the multilevel inverter system whenever a fault occurs, stopping the operated process. Although a cascaded MLID has the ability to tolerate a fault for some cycles, it would be better if the fault type and its location can be detected; then, switching patterns and the modulation index of other active cells of the MLID can be adjusted to main- tain the operation under balanced load condition. Of course, the MLID might not be operated at full rated power after the bypass of a level. The amount of reduction of the rated power that can be tolerated depends upon the MLID application; nevertheless, in most cases a reduction of the rated power is more preferable than a complete shutdown. Research on fault diagnostic techniques initially focused on conventional pulsewidth modulation (PWM) voltage source inverters (VSI). The various fault modes of a VSI system for an induction motor are investigated in [3]. Then, the integration of a fault diagnostic system into VSI drives is described in [4]. This integrated system introduced remedial control strategies soon after failure occurrences; therefore, system reliability and fault-tolerant capability are improved. A noninvasive technique for diagnosing VSI drive failures based on the identification of unique signature patterns corresponding to the 0278-0046/$25.00 © 2007 IEEE

Transcript of Fault Diagnosis and Reconfiguration for Multilevel...

Page 1: Fault Diagnosis and Reconfiguration for Multilevel …web.eecs.utk.edu/~tolbert/publications/trans_ie_dec_2007.pdf2954 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6,

2954 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007

Fault Diagnosis and Reconfiguration for MultilevelInverter Drive Using AI-Based Techniques

Surin Khomfoi, Member, IEEE, and Leon M. Tolbert, Senior Member, IEEE

Abstract—A fault diagnostic and reconfiguration method fora cascaded H-bridge multilevel inverter drive (MLID) usingartificial-intelligence-based techniques is proposed in this paper.Output phase voltages of the MLID are used as diagnostic signalsto detect faults and their locations. It is difficult to diagnose anMLID system using a mathematical model because MLID systemsconsist of many switching devices and their system complexity hasa nonlinear factor. Therefore, a neural network (NN) classificationis applied to the fault diagnosis of an MLID system. Multilayerperceptron networks are used to identify the type and locationof occurring faults. The principal component analysis is utilizedin the feature extraction process to reduce the NN input size. Alower dimensional input space will also usually reduce the timenecessary to train an NN, and the reduced noise can improve themapping performance. The genetic algorithm is also applied toselect the valuable principal components. The proposed networkis evaluated with simulation test set and experimental test set.The overall classification performance of the proposed networkis more than 95%. A reconfiguration technique is also proposed.The proposed fault diagnostic system requires about six cyclesto clear an open-circuit or short-circuit fault. The experimentalresults show that the proposed system performs satisfactorily todetect the fault type, fault location, and reconfiguration.

Index Terms—Fault diagnosis, multilevel inverter, neural net-work (NN), reconfiguration.

I. INTRODUCTION

INDUSTRY has begun to demand higher power ratings,and multilevel inverter drives (MLIDs) have become a so-

lution for high-power applications in recent years. A multi-level inverter not only achieves high-power ratings but alsoenables the use of renewable energy sources. Renewable energysources such as photovoltaic, wind, and fuel cells can beeasily interfaced to a multilevel converter system for a high-power application. The cascaded multilevel inverter is one ofthe more optimistic solutions for high-power drives or largetraction drives [1], [2]. A possible structure of a three-phasecascaded multilevel inverter for a high-power drive is illustratedin Fig. 1. The series of H-bridges makes for modularized layoutand packaging; as a result, this will enable the manufacturingprocess to be done more quickly and cheaply.

Manuscript received December 20, 2006; revised August 9, 2007.S. Khomfoi is with the Department of Electrical Engineering, Faculty of

Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok10520, Thailand (e-mail: [email protected]).

L. M. Tolbert is with the Department of Electrical and Computer Engi-neering, University of Tennessee, Knoxville, TN 37996-2100 USA (e-mail:[email protected]).

Color versions of one or more of the figures in this paper are available onlineat http://ieeexplore.ieee.org.

Digital Object Identifier 10.1109/TIE.2007.906994

Fig. 1. Three-phase wye-connection structure for high-power motor drive.

In addition, the reliability analysis reported in [2] indicatesthat the fault tolerance of cascaded MLID had the best life-cycle cost. However, if a fault (open or short circuit) occursat a semiconductor power switch in a cell, it will cause anunbalanced output voltage and current, while the traction motoris operating. The unbalanced voltage and current may result invital damage to the traction motor if the traction motor is run inthis state for a long time.

Generally, the passive protection devices will disconnect thepower sources or gate drive signals from the multilevel invertersystem whenever a fault occurs, stopping the operated process.Although a cascaded MLID has the ability to tolerate a fault forsome cycles, it would be better if the fault type and its locationcan be detected; then, switching patterns and the modulationindex of other active cells of the MLID can be adjusted to main-tain the operation under balanced load condition. Of course, theMLID might not be operated at full rated power after the bypassof a level. The amount of reduction of the rated power that canbe tolerated depends upon the MLID application; nevertheless,in most cases a reduction of the rated power is more preferablethan a complete shutdown.

Research on fault diagnostic techniques initially focused onconventional pulsewidth modulation (PWM) voltage sourceinverters (VSI). The various fault modes of a VSI system for aninduction motor are investigated in [3]. Then, the integrationof a fault diagnostic system into VSI drives is described in [4].This integrated system introduced remedial control strategiessoon after failure occurrences; therefore, system reliabilityand fault-tolerant capability are improved. A noninvasivetechnique for diagnosing VSI drive failures based on theidentification of unique signature patterns corresponding to the

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motor supply current Park’s Vector is proposed in [5]–[7]. Acomparison of features, cost, and limitations of fault-tolerantthree-phase alternating current motor drive topologies isinvestigated in [8].

It is also advantageous that artificial intelligence (AI)-basedtechniques can be applied in condition monitoring and di-agnosis. AI-based condition monitoring and diagnosis haveseveral advantages. For instance, AI-based techniques do notrequire any mathematical models; therefore, the engineer-ing and development time could be significantly reduced.AI-based techniques utilize the data sets of the system or expertknowledge [9]. A general review of recent developments inthe field of AI-based diagnostic systems in machine drives hasbeen presented in [10]. The possibilities offered by a neuralnetwork (NN) for fault diagnosis and system identification areinvestigated in [11]. A study of a machine fault diagnosticsystem by using fast Fourier transform (FFT) and NNs is clearlyexplained in [12]. In addition, a fault diagnostic system forrotary machines based on fuzzy NNs is developed in [13]. Afault diagnostic system in electric drives using machine learningfor detecting and locating multiple classes of faults has beenimplemented in [14].

A classification technique using an NN offers an extra degreeof freedom to solve a nonlinear problem; the failure of a singleneuron will only partially degrade performance. If an inputneuron fails, the network can still make a decision by usingthe remaining neurons. In contrast, if only a single input, forinstance the dc offset of signals, is used as the input data toclassify the faults, the diagnosis system may not perform classi-fication when the input data has drifted or the single sensor hasfailed. Furthermore, an NN also permits parallel configurationand seasonal changes. Additional H-bridges and fault features(short circuit) can be conveniently extended into the systemwith more training data and a parallel NN configuration.

Fault diagnosis and neutral point voltage control duringa fault condition in a three-level diode-clamped multilevelinverter using Park’s Vector has been proposed in [15]. Inaddition, a unique fault-tolerant design for flying capacitormultilevel inverter has been presented in [16]. A method foroperating cascaded multilevel inverters when one or morepower H-bridge cells are damaged has been proposed in [2] and[17]. The method is based on the use of additional magneticcontactors in each power H-bridge cell to bypass the faultycell and use the neutral shift technique to maintain balancedline-to-line voltages. One can see from the concise literaturesurvey that the knowledge and information of fault behaviorsin the MLID system is important to improve system design,protection, and fault-tolerant control. Thus far, limited researchhas focused on MLID fault diagnosis. Therefore, an MLID faultdiagnostic system that only requires the measurement of theMLID’s voltage waveforms is proposed in this paper.

II. DIAGNOSTIC SIGNALS

Before continuing on with the discussion, it should be em-phasized that the multilevel carrier-based sinusoidal PWM isused for controlling gate drive signals for the cascaded MLID,as shown in Fig. 2. Fig. 2 shows that the output voltages

Fig. 2. (a) Single-phase multilevel inverter system. (b) Multilevel carrier-based sinusoidal PWM, showing carrier bands, modulation waveform, andinverter output waveform (ma = 0.8/1.0).

can be controlled by controlling the modulation index ma.To expediently understand, a cascaded MLID structure withtwo separate dc sources (SDCSs) is used as an example inSections II and III, but the techniques presented are valid for amultilevel converter with any number of levels, as demonstratedin Section V.

The selection of diagnostic signals is very important becausethe NN could learn from unrelated data to classify faults,which would result in improper classification. Simulation re-sults (using power simulation (PSIM) from Powersim Inc.) ofinput motor current waveforms during an open-circuit fault atdifferent locations of the MLID [as shown in Fig. 2(a)] areillustrated in Figs. 3 and 4. As can be seen in Figs. 3 and 4, theinput motor currents can classify open-circuit faults at the samepower cell by tracking current polarity (see Fig. 4); however,it is difficult to classify the faults at different power cells; thecurrent waveform for a fault of SA+ in H-bridge 2 (Fig. 3) isidentical to that for a fault of SA+ in H-bridge 1 [Fig. 4(a)]. Asa result, the detection of fault locations could not be achievedwith only using input motor current signals. In addition, thecurrent signal is load dependent: the load variation may leadto misclassification; for instance, under light load operation asreported in [6].

Auspiciously, Fig. 2 indicates that an output phase PWMvoltage is related with turn-on and turn-off time of relatedswitches; hence, a faulty switch cannot generate a desired

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Fig. 3. Input motor currents during open-circuit fault at switch SA+ ofH-bridge 2.

Fig. 4. Input motor currents during open-circuit fault at H-bridge 1. (a) SwitchSA+. (b) Switch SB+.

output voltage: The output voltage for a particular switch iszero if the switch has a short-circuit fault, whereas the outputvoltage is about Vdc of SDCS if the switch has an open-circuitfault. For this reason, the output phase voltage can conveyvaluable information to diagnose the faults and their locations.The simulation results of output voltages are shown for anMLID with open-circuit faults and short-circuit faults in Fig. 5.One can see that all fault features in both open-circuit andshort-circuit cases could be visually distinguished. In addition,experimental results of output voltage signals of open-circuitfaults in each location of a two-SDCS MLID, as shown in

Fig. 2(a), with multilevel carrier-based sinusoidal PWM gatedrive signals are shown in Figs. 6 and 7.

Obviously, the output phase voltage signals are related to thefault locations and fault types (open circuit and short circuit).One can see that all fault features can be visually distinguishedin both fault types and fault locations via the output phasevoltage signals; however, the computation unit cannot directlyvisualize as a human does. An NN is one suitable AI-basedtechnique, which can be applied to classify the fault features. Inaddition, a classification technique using an NN offers an extradegree of freedom to solve a nonlinear problem: the failure ofa single neuron will only partially degrade performance. If aninput neuron fails, the network can still make a decision byusing the remaining neurons. In contrast, if only a single input,for instance the dc offset of signals, is used as the input datato classify the faults, the diagnosis system may not performclassification when the input data has drifted or the singlesensor has failed. Furthermore, an NN also permits parallelconfiguration and seasonal changes. Additional H-bridges andfault features (short circuit) can be conveniently extended intothe system with more training data and parallel configuration.

Therefore, we will attempt to diagnose the fault types andfault locations in a cascaded MLID from its output voltagewaveform.

III. FAULT DIAGNOSTIC METHODOLOGY

A. Structure of Fault Diagnostic System

The structure for a fault diagnosis system is illustrated inFig. 8. The system is composed of the following four majorstates: 1) feature extraction; 2) NN classification; 3) fault di-agnosis; and 4) reconfiguration (switching pattern calculationwith gate signal output). The feature extraction performs thevoltage input signal transformation, with rated signal values asimportant features, and the output of the transformed signal istransferred to the NN classification. The networks are trainedwith normal data, all fault feature data, and correspondingoutput assigned as binary code; thus, the output of this networkis nearly 0 and 1 as binary code. The binary code is sent to thefault diagnosis to decode the fault type and its location. Then,the switching pattern is calculated to reconfigure the MLID tobypass and compensate the failed cell.

B. Feature Extraction System

Simulated and experimental output voltages of an MLIDare illustrated in Figs. 5–7. As can be seen, the signalsare difficult to rate as an important characteristic for classi-fying a fault hypothesis, and they have high correlation witheach other; hence, a signal transformation technique is needed.The comparison of signal transformation suitable to trainingan NN for fault diagnosis tools is elucidated in [18]. Thefault diagnosis system for an MLID using FFT and NN areproposed in [19]. The proposed technique has a good clas-sification performance to classify normal and abnormal fea-tures. However, many neurons are used to train the network(i.e., one neuron for each harmonic); therefore, the principal

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Fig. 5. Simulation of output voltage signals showing fault features at SA+, SA−, SB+, and SB− of H-bridge 2 with modulation index = 0.8 out of 1.0.(a) Open-circuit faults. (b) Short-circuit faults.

component analysis (PCA) can be used to reduce the numberof input neurons as illustrated in Fig. 9. PCA is a methodused to reduce the dimensionality of an input space withoutlosing a significant amount of information (variability) [20].The method also makes the transformed vectors orthogonal anduncorrelated. A lower dimensional input space will also usuallyreduce the time necessary to train an NN, and the reducednoise [by keeping only valuable principal components (PCs)]may improve the mapping performance. The comparison inclassification performance between the network proposed in[18] and the PC-NN is discussed in [21]. The results show thatthe PC-NN has a better overall classification performance by5% points; consequently, the PC-NN is utilized to perform thefault classification in this paper.

1) PCA: Basically, PCA is a statistical technique used totransform a set of correlated variables to a new lower dimen-sional set of variables, which are uncorrelated or orthogonalwith each other. A distinguished introduction and applicationof PCA has been provided in [22]. The discussion of PCA pre-sented in this section will be brief, providing only indispensableequations to elucidate the fundamental PCA approach appliedto a fault diagnosis system in MLID. The fundamental PCAused in a linear transformation is illustrated as follows:

T = X · P (1)

where T is the m × k score matrix (transformed data): m =number of observations, k = dimensionality of the PC space;X is the m × n data matrix: m = number of observations, n =dimensionality of original space; and P is the n × k loadingsmatrix (PC coordinates): n = dimensionality of original space,k = number of the PCs kept in the model. The original datamatrix X of n variables (harmonic orders) and m observations(different modulation indexes of output voltage of MLID)is transformed to a new set of orthogonal PCs, i.e., T, ofequivalent dimension m × k, as represented in the followingexpression:

t11 t12 · · · t1k

t21 t22 · · · t2k...

......

...tm1 tm2 · · · tmk

=

x11 x12 · · · x1n

x21 x22 · · · x2n...

......

...xm1 xm2 · · · xmn

·

p11 p12 · · · p1k

p21 p22 · · · p2k...

......

...pn1 pn2 · · · pnk

(m × k) = (m × n) · (n × k). (2)

The transformation is performed such that the direction of thefirst PC is identified to capture the maximum variation of the

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Fig. 6. Experiment of open-circuit fault of H-bridge 1 with modulation index = 0.8 out of 1.0. (a) Normal. (b) SA+ fault. (c) SA− fault. (d) SB+ fault.(e) SB− fault.

Fig. 7. Experiment of open-circuit fault of H-bridge 2 with modulation index = 0.8 out of 1.0. (a) SA+ fault. (b) SA− fault. (c) SB+ fault. (d) SB− fault.

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Fig. 8. Structure of the fault diagnosis system.

Fig. 9. PC-NN.

original data set. The subsequent PCs are associated withthe variance of the original data set in order; for instance, thesecond PC indicates the second highest variance of the originaldata set, and likewise.

Selecting a reduced subset (PCs kept in the model) of PCspace results in a reduced dimension structure with respect tothe important information available as shown in the followingexpression:

[t1 t2 · · · tk]= [x1 x2 · · · xn] ·

p11 p12 · · · p1k

p21 p22 · · · p2k...

......

...pn1 pn2 · · · pnk

(1 × k) = (1 × n) · (n × k). (3)

The objective of PC selection is not only to reduce the di-mension structure but also to keep the valuable components.Normally, high variance components could contain relatedinformation, whereas small variance components that are notretained are expected to contain unrelated information; forinstance, measurement noise. It should be noted that the highvariance components may not contain the useful informationfor a classification problem.

2) PC Selection: The selection of PCs is significant becauseinput selected PCs can cause the following uncertainty results:

Fig. 10. Flowchart of the GA application for PC selection.

1) additional unneeded input PCs to the NN can increasethe solution variance and 2) absent necessary input PCs canincrease bias. Therefore, a multivariable optimization techniquesuch as genetic algorithm (GA) can be applied to searchfor the best combination of PCs to train the NN, as shownin Fig. 10.

The discrete GA or binary GA is utilized to select PCs. Theidea is to randomly pass the PCs encoded as a binary stringinto the NN, and then a GA is used to search for the best com-bination of input PCs, which provides the NN with minimumclassification error. The binary string of a gene consists of onlyone single bit. An example of encoded input PCs is illustratedon the right-hand side of Fig. 10. As can be seen, bit “0” willnot be used to train the network, whereas others will be usedto train the network. Then, the NNs (multilayer perceptron) aretrained by using the Levenberg–Marquardt training paradigm[23] with training set (simulation data), and after that, thetest sets (experimental data) are examined. It should be notedthat the test sets are not the same as the training set. Finally,the fitness function is evaluated by using the sum of squareerror (SSE), i.e.,

SSE =n∑

i=1

(y − yi)2 (4)

where y is the output target binary codes, yi is the outputof the training data, and n is the number of training data.The minimum SSE should provide the best combination ofinput PCs. More details in the GA parameter setup by usingMATLAB have been explained in [24].

The fitness function is divided into two parts as follows:1) SSE of the simulation set and 2) SSE of the experimentaltest set. In this paper, we weigh the experimental test set higherthan the simulation test set because we only use the normaland fault data from the simulation to train the NNs. In addition,the classification performance as presented in [19]–[21] showsthat the NNs have higher classification performance in the

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TABLE ICONFUSION TABLE FOR NEURAL NETWORK CLASSIFICATION PERFORMANCE

simulation test set than the experimental test set. The networksin [19] and [21] have a misclassification of one out of five faultclasses in the simulation test set; therefore, in this particularcase, weighted factors of 0.2 and 0.8 are used for the simulationtest set and the experimental test set, respectively:

f = 0.2 • SSESim,set + 0.8 • SSEExp,set. (5)

C. NN Classification

The multilayer feedforward networks are used in this paper.The NN architecture designs have been proposed in [19] andwill not be repeated here. As a comparison among transfor-mation methods, FFT [19], PCA [21], and GA-PCA [24] willbe performed, and three different NN architectures are used.The original data from the feature extraction system (FFT)that are used to train and test the networks are exactly the

same data set. The first NN architecture [19] has one hiddenlayer with 40 input nodes, four hidden nodes, and three outputnodes. The second NN architecture (PC-NN) [21] has onehidden layer with five input nodes, three hidden nodes, andthree output nodes. The third NN architecture (PC-GA-NN)[24] is based on the GA selection, as previously discussed,because the input neurons depend on how many PCs wereselected by GA. However, the hidden layer with three hiddennodes and three output nodes is used since the comparisonamong proposed NNs will be performed so that the NNs shouldhave the same complexity and degree of freedom. The firstnetwork requires more neurons because the network has moreinput neurons. The sigmoid activation function is used: tansigfor hidden nodes and logsig for an output node. A logsigactivation function is used for an output node because thetarget output is between 0 and 1. It should be noted that thenumber of nodes for the input and output layers depends on

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Fig. 11. Subsystem of NN classification.

TABLE IIGATE DRIVE SIGNALS OF CORRECTIVE ACTION TAKEN

the specific application. The selection of number and dimen-sion in the hidden layer is based on NN accuracy in prelimi-nary tests.

The training data set should also cover the operating region,thus the training set is generated from simulation with variousoperation points (different modulation indexes such as 0.6, 0.7,0.8, 0.9, and 1). The testing sets have two different sources:first, the test set is generated from simulation with modulation

indexes of 0.65, 0.75, 0.85, and 0.95. Second, the test set ismeasured from experiment at different modulation indexes of0.7, 0.8, 0.9, and 1.

The performance of the proposed networks is tested in twocategories. First, the networks are tested with the simulationtest sets as previously mentioned. Second, the networks areevaluated with the experimental test set. The tested results alongwith the testing data sets are illustrated in Table I.

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Fig. 12. Reconfiguration diagram for MLID with five SDCS. (a) Reconfiguration diagram. (b) H-bridge 2 switch S1 open-circuit fault at the second level of thesingle-phase multilevel inverter with five SDCS.

Clearly, the classification performance of PC-GA-NN forexperimental data is better than NN by 15% points andPC-NN by 5%. The NN has 85% classification performance,and PC-NN has 95% classification, whereas PC-GA-NN has100% classification performance. As expected, PCA conveyslower dimensional input space, reducing the time necessary totrain an NN. In addition, the reduced noise could improve themapping performance, which leads to the improvement of thetotal classification performance. GA offers the multivariablesearch of the minimum misclassification error, providing thebetter NN performance.

It should be mentioned that the feature extraction and NNclassification process are performed offline. After the NN isready to use, the weight and bias matrices are saved. Theseweight and bias matrices will be used to perform a faultclassification that is incorporated by a Simulink model byusing the gensim command [23]. The gensim command willautomatically generate the NN simulation blocks for use withSimulink, as shown in Fig. 11.

IV. RECONFIGURATION PARADIGM

A. Corrective Action Taken

The basic principle of the reconfiguration method is to by-pass the faulty cell (H-bridge); then, other cells in the MLIDare used to compensate for the faulty cell. For instance, ifcell 2 of MLID in Fig. 2 has an open-circuit fault at SA+,accordingly, SA− and SB− need to be turned on (1), whereasSB+ needs to be turned off (0) to bypass cell 2. The correctiveactions taken for other fault locations are shown in Table II.As can be seen, the corrective action would be the same forcases that have similar voltage waveforms during their faultedmode (for instance, see Fig. 5 for a short-circuit fault in SA+

and open-circuit fault in SA−). Therefore, even if the fault

Fig. 13. Multilevel carrier-based sinusoidal PWM with 2-kHz switching fre-quency for a five-SDCS MLID, showing carrier bands, modulation waveform,and inverter output waveform (ma = 1.2/1.0).

Fig. 14. Compensated gain of the MLID operating at ma > 0.8.

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Fig. 15. Fault diagnostic system interfaced with PSIM performing power circuit of an MLID.

may be misclassified (an actual short-circuit fault at SA+ ismisclassified as an open-circuit fault at SA− or vice versa), thecorrective action taken would still solve the problem.

B. Reconfiguration Method

The reconfiguration diagram for an 11-level MLID with fiveSDCS is illustrated in Fig. 12. The turn-on intervals of eachcell are not equal with the multilevel carrier-based sinusoidalPWM: cell 1 has the longest turn-on interval, then the turn-oninterval decreases from cell 2 to cell 5 as a staircase PWMwaveform. The desired output voltage of an MLID can beachieved by controlling the modulation index ma. For instance,

suppose cell 2 has an open-circuit fault at S1, while the MLIDoperates at ma = 0.8/1.0 [MLID is operated with four cells(cells 1–4)]. We can see from Fig. 12(b) that S3 and S4 need tobe turned on, then the gate signal of cell 2 will be shifted up tocontrol cell 3, then the gate signal of cell 3 will shift to cell 4,and the gate signal of cell 4 will shift to cell 5, respectively.

This reconfiguration also applies to other phases of MLIDin order to maintain a balanced output voltage. By using thismethod, the operation of MLID in a modulation index rangeof 0.0 to 0.8 (out of 1) can be fully compensated such that theinverter will continue to function as in a normal operation; how-ever, if MLID operates at ma > 0.8 and has a fault, lower orderharmonics will occur in the output voltage since the MLID will

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Fig. 16. Experimental setup.

operate in the overmodulation region in order to output the fullrequested voltage as illustrated in Fig. 13. The compensatedgain of the MLID operating at ma > 0.8 is shown in Fig. 14.This compensated gain can also be written as a function of ma

by using a polynomial curve fitting. Because the overmodula-tion region has a nonlinear relationship between the modulationindex and the output fundamental voltage, the compensatedgain is calculated in particular modulation indexes; then, thepolynomial function represents the nonlinear characteristic ofthis particular application. In addition, this polynomial functioncan be implemented in a Simulink model. The fitting functioncan predict the compensated gain with a norm of residualsless than 0.09. We can see that the overmodulation regionwill occur when the MLID operates at ma > 0.825. To relievethis problem, space vector and third harmonic injection PWMschemes may be used. In addition, a redundant cell can beadded into the MLID, but the additional part count should beconsidered. The reconfiguration effect and limitation of thisreconfiguration method have been reported in [25].

V. SIMULATION AND EXPERIMENT VALIDATION

A. Simulation Setup

The following two simulation programs are used in thesimulation setup: 1) Matlab–Simulink and 2) PSIM. Matlab–Simulink is used to implement feature extraction (FFT andPCA), NN classification, and reconfiguration. PSIM is usedto implement the MLID power circuit. The reason for usingPSIM is that the PSIM is a circuit-based simulation and conve-niently interfaces with Matlab–Simulink via the toolbox calledSimcouple [26]. The simulation validation based on Simulink isillustrated in Fig. 15. It should be noted that the same Simulinkmodel is used in both simulation and experiment.

B. Experimental Setup

The experimental setup is represented in Fig. 16. A three-phase wye-connected cascaded multilevel inverter using 100-V70-A metal–oxide–semiconductor field-effect transistors as the

Fig. 17. Open-circuit faulty power cell at S1.

switching devices is used to produce the output voltage signals.The MLID supplies an induction motor (1/3 hp) coupled with adc generator (1/3 hp) as a load of the induction motor. The OpalRT-Lab system [27] is utilized to generate gate drive signals andinterfaces with the gate drive board. The switching angles arecalculated by using Simulink based on multilevel carrier-basedsinusoidal PWM. A separate individual power supply acting asSDCS is supplied to each cell of the MLID, consisting of fivecells per phase as shown in Fig. 12(b). Open- and short-circuitfault occurrences are created by physically controlling theswitches in the fault-creating circuit. A Yokogawa DL 1540cis used to measure output voltage signals as ASCII files. Themeasured signals are set to N = 10 032; sampling frequency is200 kHz. Voltage spectrum is calculated and transferred to theOpal-RT target machine.

C. Results

1) Open-Circuit Case: The simulation of open-circuit faultoccurrences is created by using a faulty power cell as shown inFig. 17: the auxiliary switches (F1 and F2) are normally closetype; then, the faulty cell will be simulated by disconnectingswitch S1 at time T (by controlling F1 and F2) commanded bya unit step from Simulink. This faulty power cell is in cell 2of phase A (see Fig. 1), and the MLID is operating at 0.8/1.0modulation index before the fault occurs. In the experiment, anopen-circuit fault occurrence is created by physically turningon the switch in the fault-creating circuit. The simulation andexperimental results of an open-circuit fault in cell 2 switch S1

are represented in Fig. 18.We can see that the simulation and experimental results agree

with each other. The fault diagnostic system requires aboutsix cycles (∼100 ms at 60 Hz) to clear the open-circuit fault.Obviously, the open-circuit fault causes an unbalanced outputvoltage Van of the MLID during the fault interval, and theaverage current in phase A, i.e., Ia, has a negative polarityduring the fault interval.

2) Short-Circuit Case: The simulation of short-circuit faultoccurrences is created by using a faulty power cell as shownin Fig. 19. The auxiliary switches are normally open type;

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Fig. 18. Results of the open-circuit fault at cell 2 S1 of the MLID that is operated at ma = 0.8/1.0. (a) Simulation of current waveforms. (b) Experimentshowing the line current Ia in the faulty phase.

then, the faulty cell will be simulated by closing switch F1 attime T commanded by a unit step from Simulink. This faultypower cell is in power cell 3 on phase A (see Fig. 1), and theMLID is operating at 0.8/1.0 modulation index before the faultoccurs.

The simulation results of a short-circuit fault at cell 3 switchS1 are represented in Fig. 20. The fault diagnostic systemalso requires about six cycles to clear the short-circuit fault.Obviously, the output voltage Van of the MLID is unbalancedduring the fault interval (lost negative voltage at phase A), andthe average current in phase A, i.e., Ia, has a positive polarityduring the fault interval. The peak of the fault current increasesto about 1.5 times compared with the normal operation. Itshould be noted that, practically, the fuse protecting the SDCSmay blow (disconnect the SDCS from an MLID) before the di-agnostic system performs fault clearing so that the output phase Fig. 19. Short-circuit faulty power cell at S1.

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Fig. 20. Simulation results of the short-circuit fault at cell 3 S1 of the MLID that is operated at ma = 0.8/1.0.

Fig. 21. Results of the short-circuit fault at cell 3 S1 under loss of SDCS condition at the faulty cell of the MLID that is operated at ma = 0.8/1.0.(a) Simulation. (b) Experiment showing the line current Ia in the faulty phase.

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voltage will be zero. This behavior of output phase voltagesignals should also be taken into account for training the NN.

The proposed diagnostic system can also detect a short faultunder loss of SDCS at the faulty cell condition, as shown inFig. 21. The clearing time for this particular case is about ninecycles. In addition, the NN can detect which cell has a faultand whether the switch was connected to the positive bus (S1

or S2) or the negative bus (S3 or S4). However, the NN couldnot determine which specific switch (S1 or S2) or (S3 or S4)had failed. Nevertheless, the proposed corrective action takenwould still solve this problem.

The clearing time of the short-circuit fault under loss ofSDCS at faulty cell condition is longer than the open-circuit andshort-circuit faults by about three cycles. This result suggeststhat using only output voltage signals in the loss of SDCS casemay not adequately provide a unique feature to detect the faults.Therefore, the current signals may be required to additionallytrain the NN because Fig. 4 shows that the current polarity ofthe faulty cell can be used to classify the faults as occurringeither at the positive or the negative dc bus.

The clearing time of the proposed system can be shorterthan this if the proposed system is implemented as a singlechip using a field-programmable gate array or digital signalprocessor. The Opal-RT system needs a few cycles to load theoutput voltage signals from the target machine to the consolePC machine via Ethernet. In addition, the window of FFT func-tion requires at least a cycle to perform signal transformation.The clearing time could be within two cycles if the algorithmis implemented with an embedded single chip, which we willreport in the near future. However, if the cascaded MLID cantolerate a few cycles of faults, the proposed system can detectthe fault and can correctly reconfigure the MLID; therefore, theresults are satisfactory.

VI. CONCLUSION

A fault diagnostic and reconfiguration method for a cascadedH-bridge MLID using AI-based techniques has been proposed.Output phase voltages of the MLID can be used as diagnosticsignals to detect faults and their locations. The proposed faultdiagnostic paradigm has been validated in both simulation andexperiment. The results show that the proposed fault diagnos-tic technique performs quite satisfactory. The fault diagnosticsystem requires about six cycles (∼100 ms at 60 Hz) to clearthe open-circuit and short-circuit faults and about nine cyclesto clear the short circuit under loss of SDCS at faulty cellcondition. The experimental results show that the proposeddiagnostic and reconfiguration system performs satisfactorilyto detect the fault type, fault location, and reconfiguration.

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[5] A. M. S. Mendes, A. J. Marques Cardoso, and E. S. Saraiva, “Voltagesource inverter fault diagnosis in variable speed AC drives by Park’s vectorapproach,” in Proc. IEE 7th Int. Conf. Power Electron. Variable SpeedDrives, 1998, pp. 538–543.

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[7] D. Diallo, M. H. Benbouzid, D. Hamad, and X. Pierre, “Fault detec-tion and diagnosis in an induction machine drive: A pattern recognitionapproach based on concordia stator mean current vector,” IEEE Trans.Energy Convers., vol. 20, no. 3, pp. 512–519, Sep. 2005.

[8] B. A. Welchko, T. A. Lipo, T. M. Jahns, and S. E. Schulz, “Fault tolerantthree-phase AC motor drive topologies: A comparison of features, cost,limitations,” IEEE Trans. Power Electron., vol. 19, no. 4, pp. 1108–1116,Jul. 2004.

[9] P. Vas, Artificial-Intelligence-Based Electrical Machines and Drives.New York: Oxford Univ. Press, 1999.

[10] F. Filippetti, G. Franceschini, C. Tassoni, and P. Vas, “Recent develop-ments of induction motor drives fault diagnosis using AI techniques,”IEEE Trans. Power Electron., vol. 19, no. 4, pp. 1108–1116, Jul. 2004.

[11] A. Bernieri, M. D’Apuzzo, L. Sansone, and M. Savastano, “A neural net-work approach for identification and fault diagnosis on dynamic systems,”IEEE Trans. Instrum. Meas., vol. 43, no. 6, pp. 867–873, Dec. 1994.

[12] S. Hayashi, T. Asakura, and S. Zhang, “Study of machine fault diagnosisusing neural networks,” in Proc. IJCNN, 2002, vol. 1, pp. 956–961.

[13] S. Zhang, T. Asakura, X. Xu, and B. Xu, “Fault diagnosis system for rotarymachines based on fuzzy neural networks,” in Proc. IEEE/ASME AIM,2003, pp. 199–204.

[14] Y. U. Murphy, M. A. Masrur, Z. Chen, and B. Zhang, “Model-based faultdiagnosis in electric drives using machine learning,” IEEE/ASME Trans.Mechatronics, vol. 11, no. 3, pp. 290–303, Jun. 2006.

[15] H. I. Son, T. J. Kim, D. W. Kang, and D. S. Hyun, “Fault diagnosis andneutral point voltage control when the 3-level inverter faults occur,” inProc. IEEE Power Electron. Spec. Conf., 2004, pp. 4558–4563.

[16] X. Kou, K. A. Corzine, and Y. L. Familiant, “A unique fault-tolerantdesign for flying capacitor multilevel inverter,” IEEE Trans. Power Elec-tron., vol. 19, no. 4, pp. 979–987, Jul. 2004.

[17] J. Rodriguez, P. W. Hammond, J. Pontt, R. Musalem, P. Lezana, andM. J. Escobar, “Operation of a medium-voltage drive under faulty con-ditions,” IEEE Trans. Ind. Electron., vol. 52, no. 4, pp. 1080–1085,Aug. 2005.

[18] J. A. Momoh, W. E. Oliver, Jr., and J. L. Dolc, “Comparison of featureextractors on DC power system faults for improving ANN fault diag-nosis accuracy,” in Proc. IEEE Intell. Syst. 21st Century, 1995, vol. 4,pp. 3615–3623.

[19] S. Khomfoi and L. M. Tolbert, “Fault diagnostic system for a multilevelinverters using a neural network,” IEEE Trans. Power Electron., vol. 22,no. 3, pp. 1062–1069, May 2007.

[20] J. Ding, A. Gribok, J. W. Hines, and B. Rasmussen, “Redundant sensorcalibration monitoring using ICA and PCA,” Real Time Syst.—SpecialIssue on Applications of Intelligent Real-Time Systems for Nuclear Engi-neering, vol. 27, no. 1, pp. 27–48, May 2004.

[21] S. Khomfoi and L. M. Tolbert, “Fault diagnosis system for a multilevelinverters using a principal component neural network,” in Proc. 37th IEEEPower Electron. Spec. Conf., Jun. 18–22, 2006, pp. 3121–3127.

[22] I. T. Joliffe, Principal Component Analysis, 2nd ed. New York: Springer-Verlag, 2002.

[23] H. Demuth, M. Beale, and M. Hagen, Neural Network ToolboxUser’s Guide. Natick, MA: MathWorks, Inc., 2006. Version 5. [Online].Available: http://www.mathworks.com

[24] S. Khomfoi and L. M. Tolbert, “A diagnostic technique for multilevelinverters based on a genetic-algorithm to select a principal componentneural network,” in Proc. IEEE Appl. Power Electron. Conf., Anaheim,CA, Feb. 25–Mar. 1, 2007, pp. 1497–1503.

[25] S. Khomfoi and L. M. Tolbert, “A reconfiguration technique for multilevelinverters incorporating a diagnostic system based on neural network,” inProc. 10th IEEE Workshop Comput. Power Electron., Jul. 16–19, 2006,pp. 317–323.

[26] PSIM User’s Guide Version 6, Powersim Inc., Andover, MA, 2003.[Online]. Available: http://www.powersimtech.com

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Surin Khomfoi (S’03–M’07) received the B.Eng.and M.Eng. degrees in electrical engineeringfrom King Mongkut’s Institute of TechnologyLadkrabang, Bangkok, Thailand, in 1996 and 2000,respectively, and the Ph.D. degree in electricaland computer engineering from the University ofTennessee, Knoxville, in 2007.

From 1996 to 1997, he was with the Engineer-ing Division, Telephone Organization of Thailand(TOT). Since December 1997, he has been a Lec-turer with the Department of Electrical Engineering,

Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang.His research interests include multilevel power converters, ac drives, diagnosticsystem, fault diagnosis, and in particular artificial intelligence-based techniquesapplied to power electronics and drive applications.

Dr. Khomfoi is a member of the Eta Kappa Nu Honor Society. He was arecipient of academic scholarship awards, including the full academic schol-arship for his B.Eng. degree from TOT and the full academic scholarships forhis M.Eng. and Ph.D. degrees from the Energy Policy and Planning Office,Thailand.

Leon M. Tolbert (S’89–M’91–SM’98) received theB.E.E., M.S., and Ph.D. degrees in electrical en-gineering from Georgia Institute of Technology,Atlanta, in 1989, 1991, and 1999, respectively.

He joined the Engineering Division, LockheedMartin Energy Systems in 1991 and worked onseveral electrical distribution projects at the threeU.S. Department of Energy plants in Oak Ridge, TN.In 1997, he became a Research Engineer with thePower Electronics and Electric Machinery ResearchCenter, Oak Ridge National Laboratory. In 1999, he

was appointed as an Assistant Professor with the Department of Electricaland Computer Engineering, University of Tennessee, Knoxville, where he iscurrently an Associate Professor. He is an adjunct participant at the Oak RidgeNational Laboratory and conducts joint research at the National TransportationResearch Center. His research interest is focused on the areas of electric powerconversion for distributed energy sources, motor drives, multilevel converters,hybrid electric vehicles, and application of SiC power electronics.

Dr. Tolbert is a Registered Professional Engineer in the State of Tennessee.He has been the Chairman of the Education Activities Committee of the IEEEPower Electronics Society since 2003. He was an Associate Editor for the IEEEPOWER ELECTRONICS LETTERS from 2003 to 2006. He was the recipient ofa National Science Foundation CAREER Award and the 2001 IEEE IndustryApplications Society Outstanding Young Member Award.