INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7759
www.rsisinternational.org
Enhancing Energy Efficiency through Predictive and Direct Torque
Control: An Experimental Study on Induction Motor Drives
*Rozana Alik., Nik Rumzi Nik Idris., Norjulia Mohamad Nordin., Siti Mahfuza Saimon
Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor
*Corresponding Author
DOI: https://dx.doi.org/10.47772/IJRISS.2025.910000635
Received: 13 October 2025; Accepted: 30 October 2025; Published: 20 November 2025
ABSTRACT
This study presents an experimental comparison between Direct Torque Control (DTC) and Finite Control
SetPredictive Torque Control (FCS-PTC) for a three-phase induction motor (IM) drive, emphasizing their
implications for energy efficiency and sustainable industrial operation. Both control methods aim to regulate
torque and stator flux yet differ in voltage-vector (VV) selection principles. DTC employs a fixed look-up
table with hysteresis controllers, while FCS-PTC evaluates all inverter states through a cost-function-based
prediction. Experimental implementation using a dSPACE DS1104 platform was carried out at three operating
speeds286 r/min, 764 r/min, and 1432 r/minto quantify torque and flux ripples using statistical analysis.
At low speed (286 r/min), FCS-PTC achieved a torque ripple of 0.0948 N·m and a flux ripple of 0.0072 Wb,
compared with DTC’s 0.2350 N·m and 0.0109 Wb. Similar improvements were observed at medium and high
speeds, confirming FCS-PTC’s superior ability to minimize electromagnetic ripple. Voltage-vector analysis
revealed that DTC’s avoidance of radial vectors contributes to higher flux variation, whereas FCS-PTC’s
balanced use of tangential and radial vectors yields smoother electromagnetic response and improved control
accuracy. From a societal perspective, the enhanced efficiency of FCS-PTC supports reduced energy
consumption and carbon emissions in motor-driven systems, directly aligning with Sustainable Development
Goal 7 (Affordable and Clean Energy). The experimental framework also provides a practical platform for
engineering education and workforce training in advanced control methods. The findings demonstrate that
predictive torque control not only improves technical performance but also contributes to broader objectives of
sustainable industrial development and capacity building.
Keywords: Predictive Torque Control (PTC); Direct Torque Control (DTC); Induction Motor Drives; Energy
Efficiency; Sustainable Technology
INTRODUCTION
Induction motors (IMs) are the backbone of modern industry. It drives nearly half of global electrical energy
consumption in applications ranging from manufacturing and transportation to healthcare and household
systems. Their widespread use highlights both their economic significance and their potential role in achieving
global energy sustainability. Enhancing the efficiency and stability of IM operation therefore holds strong
societal implication, such as reduced energy consumption translates directly into lower carbon emissions,
operational costs, and environmental impact.
Achieving precise control of torque and stator flux, however, remains a major challenge, particularly under
dynamic operating conditions. A key factor influencing performance is the selection of voltage vectors (VVs),
which determines how the control algorithm regulates electromagnetic torque and flux trajectory [1, 2].
Among various strategies, Direct Torque Control (DTC) has been widely adopted for its simple structure and
fast dynamic response [3]. Introduced in the 1980s, DTC eliminates the need for current regulators and pulse
width modulation by employing hysteresis comparators and a look-up table to determine the appropriate VV
based on instantaneous torque and flux errors [4]. Despite these advantages, DTC is often criticized for high
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7760
www.rsisinternational.org
torque and flux ripple, variable switching frequency, and reduced performance near sector boundaries due to
limited vector selection options [5-8].
To address these limitations, Predictive Torque Control (PTC), a variant of Finite Control Set-Model
Predictive Control (FCS-MPC), has emerged as a promising alternative [9, 10]. PTC employs a predictive
model of the machine and evaluates a cost function at each sampling instant to determine the most suitable VV
[11]. Unlike DTC, PTC evaluates all possible switching states in a conventional two-level inverter, thereby
offering greater control flexibility and improved resolution [12-14].
Several studies have explored DTC and PTC strategies to enhance torque and flux regulation in IM drives [15-
19]. Bindal and Kaur [20] proposed a dynamic fuzzy logic based predictive DTC approach that integrates
Gaussian membership functions with the Flower Pollination Algorithm to reduce torque ripple. Their
simulation results demonstrated improved control under varying speed conditions and emphasized the
importance of optimized VV selection. Wang et al. [21] presented an experimental comparison between DTC
and PTC under matched switching frequencies. It highlights the PTC’s superior VV evaluation capability and
DTC’s computational efficiency. The study highlighted PTC's flexibility in VV evaluation through cost
functions, while DTC maintained an advantage in computational simplicity. Krupa and Koraddi [22] applied
PTC in the context of electric vehicle applications, demonstrating that the approach can maintain accurate
torque control even under load disturbances and parameter variations using a simulation platform. Xu et al.
[23] introduced a hybrid control method combining principles from DTC and Model Predictive Flux Control to
reduce torque ripple in switched reluctance motors, with experimental validation confirming improvements in
ripple suppression and dynamic robustness.
These studies confirm the benefits of predictive control methods and intelligent VV selection. However, most
existing work focuses on performance indicators such as ripple reduction and transient response, with limited
emphasis on how VVs are selected and transitioned in real time. Karlovsky and Lettl [24] analyzed switching
patterns in both methods and showed PTC’s preference for more suitable vectors, but sector-wise VV
dynamics across diverse conditions remain insufficiently explored.
This paper builds upon these studies by experimentally analyzing VV selection and sector transitions in DTC
and Finite Control SetPredictive Torque Control (FCS-PTC) for induction motor drives using a dSPACE
DS1104 platform. Beyond performance comparison, this study emphasizes the energy-efficiency and
educational value of predictive motor control. The experimental framework provides a replicable model for
training engineering students and practitioners in sustainable control design, supporting both academic
capacity building and industrial innovation. By linking technical advancement with societal goals, the research
contributes to the broader pursuit of cleaner, smarter, and more sustainable electrical drive systems.
Modelling of Two-Level Inverter Fed Induction Motor Drive
To investigate and compare the VV selection mechanisms in DTC and FCS-PTC, a mathematical model of the
two-level voltage source inverter (VSI) fed IM is established in the stationary reference frame. This model
forms the theoretical foundation for analysing VV behaviour and is validated through experimental testing
using a dSPACE-controlled inverter-fed IM system.
Induction Motor Model
The stator and rotor voltage equations in the stationary reference frame is expressed as:

(1)
󰇛
󰇜

(2)
The stator and rotor flux linkages are defined by:
(3)
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7761
www.rsisinternational.org
(4)
The electromagnetic torque is computed as:
󰇛

󰇜


󰇛
󰇜
(5)
where:
,
are the stator and rotor voltage vectors
,
are the stator and rotor current vectors
,
are the stator and rotor flux linkage vectors
,
are the stator and rotor resistances
,
are the stator and rotor inductances
is the magnetizing inductance
is the number of pole pairs
is the rotor electrical angular speed
󰇛󰇜 and 󰇛󰇜 denote the imaginary part and complex conjugate, respectively
The mechanical dynamics of the motor are described by:
󰇛

󰇜
(5)
where
is the rotor mechanical speed, is the moment of inertia, is the friction coefficient and
is the
load torque
Two-Level Voltage Source Inverter
The two-level VSI provides eight possible switching states, comprising six active VVs and two zero vectors.
These vectors form a regular hexagon in the complex plane. Fig. 1 illustrates their geometric
arrangement. The six active vectors (
to
) are spaced at 60° intervals, while the two zero vectors (
and
) lie at the origin. These vectors form the basis for stator flux control in DTC and FCS-PTC strategies. It
enables the inverter to regulate torque and flux directly.
Fig 1. Voltage vector positions and stator flux orientation in the α–β plane
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7762
www.rsisinternational.org
The effect of each VV depends on its orientation relative to the stator flux vector. Referring to Fig. 1, when the
flux vector is located in Sector 3,
and
are considered radial vectors and are effective in increasing or
decreasing the flux magnitude. Meanwhile,
and
, are tangential to the flux trajectory and serve as forward
tangential vectors, contributing primarily to torque production. In contrast,
and
act as reverse tangential
vectors, reducing torque or changing its direction depending on the control objective [25, 26]. The remaining
two vectors,
and
, are zero vectors that cause minimal flux change and whose torque influence increases
with rotor speed, as shown in (6) [27].




󰇛

󰇜

(6)
where is the leakage factor,
and
are the stator and rotor time constants, and
is the rotor flux linkage
Each switching state corresponds to a unique combination of ON/OFF positions for the inverter legs
(
). The output phase voltages relative to the negative DC bus are given by:
󰇛
󰇜
󰇛


󰇜
(7)
󰇛
󰇜
󰇛


󰇜
(8)
󰇛
󰇜
󰇛


󰇜
(9)
The corresponding stator voltage vector in the complex plane is:
󰇛

󰇜

󰇛


󰇜

󰇛
󰇜
(10)
where

 is the applied DC bus voltage.
Motor and Drive Parameters
The experimental setup consists of a low-power squirrel-cage IM driven by a two-level VSI. The relevant
motor electrical and mechanical parameters are summarized in Table 1.
Table 1 Induction motor and drive system parameters used in the experimental setup
Parameter
Rated Power
Rated Speed
Rated Torque
Line Voltage
Rated Current
Number of Pole Pairs
Stator Resistance (Rₛ)
Rotor Resistance (R)
Stator Inductance (Lₛ)
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7763
www.rsisinternational.org
Rotor Inductance (L)
Magnetizing Inductance (Lₘ)
Moment of Inertia ()
Friction Coefficient ()
Rated Flux ()
Control Algorithms
The control strategies implemented in this work are DTC and FCS-PTC. It operates on fundamentally different
principles despite sharing the same inverter-fed IM platform. Both approaches regulate the electromagnetic
torque and stator flux by manipulating the inverter switching states, yet they differ significantly in terms of
control structure, switching logic, and VV selection methodology.
Direct Torque Control (DTC)
In this study, the DTC method was implemented to regulate the stator flux and electromagnetic torque of the
IM by selecting optimal VVs based on instantaneous flux and torque errors. As shown in Fig. 2, the control
structure relies on three main stages: (i) flux and torque estimation, (ii) sector identification, and (iii) VV
selection using a predefined look-up table (LUT). The detailed implementation is described below.
Fig. 2 Block diagram of the conventional Direct Torque Control (DTC) scheme
(i) Flux and Torque Estimation
The stator flux vector
is estimated using the following relation in the stationary α–β reference frame:
󰇛
󰇜

(11)
where
is the stator voltage vector,
is the stator resistance, and
is the stator current vector. The
magnitude and angle of the stator flux vector are then computed as:
(12)


(13)
The electromagnetic torque is computed as:
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7764
www.rsisinternational.org
󰇛

󰇜
(14)
where is the number of pole pairs.
(ii) Sector Identification
The α–β plane is divided into six sectors of 60° each. The calculated angle
in Eqn (13) determines which
sector the
is currently located in. This information is used to guide the VV selection.
(iii) Voltage Vector Selection via LUT
The instantaneous torque and flux errors are compared against hysteresis bands to generate discrete outputs.
The torque error is processed using a three-level hysteresis comparator with a bandwidth of ±0.2 N.m,
producing outputs of +1, 0, or 1. The flux error is processed using a two-level comparator with a bandwidth
of ±0.01 Wb, producing outputs of +1 or 1. These outputs, along with the identified flux sector, determine the
appropriate VV to apply via a predefined look-up table (Table 2) [28, 29].
Table 2 Conventional Look-up Table (LUT)
Flux Error
Torque Error
Sector 1
Sector 2
Sector 3
Sector 4
Sector 5
Sector 6
1
1
v₂
v₃
v₄
v₅
v₆
v₁
1
0
v₀
v₇
v₀
v₇
v₀
v₇
1
-1
v₆
v₁
v₂
v₃
v₄
v₅
0
1
v₃
v₄
v₅
v₆
v₁
v₂
0
0
v₇
v₀
v₇
v₀
v₇
v₀
0
-1
v₅
v₆
v₁
v₂
v₃
v₄
Finite Control SetPredictive Torque Control (FCS-PTC)
This work employs a Finite Control SetPredictive Torque Control (FCS-PTC) strategy to regulate the torque
and stator flux of the IM. At every sampling instant, the algorithm evaluates a predefined set of inverters VVs
and selects the optimal one by minimizing a cost function.
The FCS-PTC process involves three main steps: (i) estimation of torque and stator flux, (ii) prediction of
future states using a discrete-time model, and (iii) VV selection via cost function minimization. Fig. 3 shows
the block diagram of the implemented FCS-PTC scheme.
Fig. 3 Block diagram of the Predictive Torque Control (PTC) scheme
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7765
www.rsisinternational.org
The stator flux and torque estimations are based on the same expressions used in the DTC method (refer to
equations (11) and (14)). These estimates serve as inputs to the prediction model, which predicts the stator flux
at the next control interval using:

󰇛
󰇜

󰇛
󰇜


󰇛
󰇜
 
󰇛
󰇜
(15)
where 󰇛󰇜 is the estimated stator flux at the current step, is the sampling period (40 µs), 󰇛󰇜 is the
applied VV,  is the stator resistance, and 󰇛󰇜 is the measured stator current vector.
The torque is predicted using:
󰨓
󰇛

󰇜

(16)
where is the number of pole pairs, 󰇝󰇞 denotes the imaginary component, and
is the complex conjugate
of the stator current vector
Once the predictions for all VVs are computed, a cost function is used to determine the most suitable VV. The
cost function employed in this work is given by:
(17)
where
and
are the reference torque and stator flux magnitude,
and
are the predicted values for
each VV, and is the weighting factor. VV that minimizes the cost function is selected and applied in the next
interval. This process is repeated at every sampling cycle.
Experimental Test Conditions
To evaluate and compare the performance of the DTC and FCS-PTC strategies, a series of experiments were
conducted under varying speed conditions. The IM was tested at three distinct speeds representing low,
medium, and high operating conditions: 286 r/min (20% of rated speed), 764 r/min (approximately 57% of
rated speed), and 1432 r/min (rated speed). No external mechanical load was connected to the motor shaft. The
motor operated solely against its internal frictional torque. This condition allows for a clearer assessment of
control performance without interference from load dynamics. Additionally, since the VV selection logic in
DTC and FCS-PTC is not influenced by load torque, the no-load condition provides a valid basis for
comparison. The complete laboratory setup is illustrated in Fig. 4.
Fig. 4 Experimental setup for real-time implementation of DTC and FCS-PTC using a two-level VSI and a
dSPACE DS1104 controller
The experiments were carried out on a three-phase squirrel-cage IM (186 W, 1425 r/min, 50 Hz, 190 V, 1.4 A,
2 pole pairs). The drive was supplied by a two-level VSI using Fuji Electric IGBT modules (rated 1200 V, 100
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7766
www.rsisinternational.org
A) with 0.47 μF / 1600 V snubber capacitors for over-voltage protection. A dSPACE DS1104 controller board
executed the algorithms in real time, programmed in C, with a sampling time of 40 μs and an inverter
switching frequency of 20 kHz. The DS1104 provides 12-bit/16-bit ADCs (±10 V range) for signal acquisition
and 16-bit DACs 10 V range) for analogue outputs, ensuring accurate and reproducible control
implementation.
Motor currents were measured with Hall-effect current sensors (±50 A range, powered by ±12.5 V supply)
calibrated via a short-circuit test. Each sensor employed five conductor turns on the magnetic core to improve
sensitivity, with a gain of 9 V/A, yielding reliable measurements within ±2% accuracy. Speed was measured
by an incremental optical encoder (2048 pulses/rev, TTL/RS422 compatible) sampled at 1 ms intervals,
ensuring precise tracking of rotor position and speed. The inverter switching was driven through a dedicated
gate driver board (5 V to 15 V signal amplification) with a blanking time of 3 μs to prevent shoot-through.
Connections between controller and gate drivers were organised via a jumper board for stable interfacing. A
regulated DC power supply provided ±12.5 V for sensors and auxiliaries.
During each test, the electromagnetic torque, stator flux, and applied VV signals were monitored via the
DS1104 DAC channels and Hall-effect current sensors, routed to a Rohde & Schwarz digital oscilloscope
through shielded BNC cables to minimise noise. The oscilloscope traces were saved in CSV format and
transferred to a PC via USB. The files were then imported into MATLAB using the readtable function for
post-processing. In MATLAB, torque and flux ripples were quantified by calculating the standard deviation of
their time-domain waveforms. VV switching behaviour was extracted by threshold-based classification of the
DAC outputs corresponding to the applied VVs. The resulting discrete labels were subsequently counted over
the full observation window to determine the occurrence frequency of each VV. This post-processing step was
necessary because MATLAB provided precise tools for signal filtering, numerical evaluation, and statistical
analysis (e.g., standard deviation for ripple quantification). Direct oscilloscope measurement alone could not
ensure the same level of repeatability or allow synchronized comparison across operating points. Hence, the
extraction and MATLAB-based analysis ensured a fair and transparent evaluation of DTC and FCS-PTC
performance. The evaluation focused on three key performance indicators: torque ripple, stator flux variation,
and VV switching behaviour.
Prior to the comparative tests, both controllers were tuned to ensure a fair, near-optimal operating point for our
setup. For DTC, flux and torque hysteresis widths were swept within practical bounds reported in the literature
(flux: 0.0050.02 Wb; torque: 0.10.3 N·m) [30, 31] and evaluated at 764 r/min (medium speed) to balance
flux/ torque ripple and switching activity. The selected ±0.01 Wb (flux) and ±0.2 N·m (torque) produced low
ripple without excessive switching. For FCS-PTC, the weighting factor, in the equation (17) was varied over
a broad range (e.g., 550). The chosen =30 consistently yielded lower flux ripple with no degradation in
torque tracking across all three speeds in the rig, while smaller increased flux variation and larger produced
marginal benefits at the cost of more aggressive switching. These settings were then fixed for all experiments
to preserve comparability.
Although all experiments were conducted under no-load, steady-state conditions, this setup was intentionally
selected to isolate the intrinsic control behaviors of DTC and FCS-PTC without external mechanical
interference. Such conditions allow a fair assessment of the voltage-vector selection mechanism and its direct
impact on torque and flux regulation. Nonetheless, this configuration does not capture the dynamic responses
or efficiency variations that occur under real industrial load conditions. Future extensions of this study will
incorporate mechanical loading and transient profiles (acceleration, deceleration, and regenerative braking) to
assess the controllers’ adaptability and robustness in practical operating environments.
RESULTS AND DISCUSSION
This section presents a comparative analysis of the DTC and FCS-PTC strategies under varying speed
conditions: 286 r/min (low), 764 r/min (medium), and 1432 r/min (high). The performance metrics evaluated
include torque ripple, stator flux variation, and VV selection patterns. Data were obtained from real-time
experiments using the dSPACE DS1104 controller.
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7767
www.rsisinternational.org
Torque and Flux Ripple Analysis
Representative raw oscilloscope traces for DTC and FCS-PTC at three operating speeds (≈286, 764, and 1432
r/min) are shown in Figs. 5 and 6. These captures document the experimental nature of the study and illustrate
the unprocessed signals obtained during steady-state operation. The traces include measured speed, phase
current, estimated torque, and stator flux waveforms. However, the detailed analysis in this work focuses
primarily on torque and flux behaviour, while the current and speed waveforms are shown only for
completeness.
To enable a clear performance comparison, the corresponding oscilloscope data were exported as CSV and
processed in MATLAB. Fig. 7 shows the resulting torque and flux waveforms (aligned and scaled), and Table
3 summarises both the standard deviation values (ripple metric) and the Integral of Absolute Error (IAE,
tracking accuracy metric) [32, 33]. The Integral of Absolute Error (IAE) was computed over a fixed steady-
state window = 1 s, as

󰇛󰇜


󰇟󰇠


(18)
where is the torque or flux error, and Δ is the oscilloscope sampling interval used for the CSV export.
Fig. 5 Oscilloscope traces for DTC at three operating speeds: a) 286 r/min, b) 764 r/min, and c) 1432 r/min
Fig. 6 Oscilloscope traces for FCS-PTC at three operating speeds: a) 286 r/min, b) 764 r/min, and c) 1432
r/min
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7768
www.rsisinternational.org
Fig 7. Comparison of Torque and Flux Response
Table 3 Standard deviation of torque and flux for DTC and FCS-PTC at different speeds
Speed
(r/min)
Method
Torque Std.
Dev (N.m)
Flux Std. Dev
(Wb)
Torque IAE
(N.m.s)
Flux IAE
(Wb.s)
286
DTC
0.234982
0.010884
0.018622
0.00017766
FCS-PTC
0.094766
0.007244
0.018241
0.00011453
764
DTC
0.187628
0.010560
0.018545
0.00017769
FCS-PTC
0.111990
0.006940
0.018942
0.00011107
1432
DTC
0.190512
0.011200
0.020044
0.00018575
FCS-PTC
0.081327
0.008611
0.019904
0.00016410
As seen from the data, FCS-PTC consistently demonstrates lower torque ripple and improved flux stability
compared to DTC across all speed conditions. During low speed (286 r/min), the torque ripple under DTC is
0.234982 N.m, more than double the ripple under FCS-PTC (0.094766 N.m). Flux ripple is also significantly
larger in DTC, indicating that hysteresis-based switching leads to frequent and abrupt VV changes. These
effects are amplified at low speeds due to weak back-EMF and less damping.
At medium speed (764 r/min), DTC torque ripple slightly reduces but remains higher than FCS-PTC. The
FCS-PTC maintains better flux control, with a flux standard deviation of 0.006940 Wb. This suggests that
FCS-PTC enables smoother VV transitions and more stable flux behaviours during steady-state operation. At
high speed (1432 r/min), the torque ripple in DTC remains roughly constant, but FCS-PTC achieves further
reduction. This shows that FCS-PTC adapts better at higher speeds, where the flux estimation becomes more
sensitive to current sensor noise and inverter non-linearity. The ability to predict and evaluate all VVs at each
sampling point improves its dynamic response.
In addition to ripple, the IAE values confirm that FCS-PTC achieves comparable or slightly improved tracking
accuracy relative to DTC. For torque, the IAE values are very close between both methods (e.g., 0.01824 vs
0.01862 at 286 r/min), indicating that the ripple reduction achieved by FCS-PTC does not compromise steady-
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7769
www.rsisinternational.org
state accuracy. Flux IAE, however, shows a clearer advantage for FCS-PTC (0.000111 vs 0.000178 at 764
r/min), reinforcing its ability to maintain tighter flux regulation.
The observed reduction in torque and flux ripples with FCS-PTC is a consequence of its cost functionbased
VV selection. Unlike DTC, which depends on fixed hysteresis bands and a predefined LUT, FCS-PTC
evaluates all candidate VVs at each sampling interval and selects the one that best minimizes the predicted
torque and flux errors. This results in smoother torque production and improved flux stability. To further
understand the switching behaviours and control effectiveness, the next section examines the VV occurrence
and sector distribution patterns observed during experimentation.
It is worth noting that the analysis of energy efficiency in this work is inferred indirectly through reduced
torque and flux ripples. Lower ripple corresponds to diminished copper and iron losses, thereby suggesting
improved electromagnetic efficiency. However, since no direct electrical input versus mechanical output
power measurement was performed, the reported efficiency improvement” reflects the control system’s
potential rather than absolute efficiency values. Future tests with integrated power analyzers will enable
empirical verification of this relationship.
Voltage Vector and Sector Distribution Analysis
As introduced in Section 2.2, the stator flux plane in DTC and FCS-PTC is divided into six equal sectors.
However, for the purpose of detailed VV analysis, this study focuses on Sector 3. This is justified since the
switching behaviours are cyclic across sectors, and observations in Sector 3 are representative of general
behaviours. Only seven VVs (
to
) are considered in this analysis. Although the inverter supports eight
possible vectors, v₀ and v₇ are both zero vectors and produce the same electromagnetic effect. Therefore, to
simplify implementation and interpretation, only
is used to represent the zero vector in both DTC and FCS-
PTC strategies.
Since DTC employs a fixed look-up table with deterministic switching, its VV time traces are not shown here.
Instead, representative switching plots (sector, selected VV, torque, and flux) are provided only for FCS-PTC,
where adaptive cost-function-based selection produces more informative behaviours. Fig. 8 illustrates the
selected sector number (dark blue) and VV number (pink) versus time, together with torque and flux
responses, for FCS-PTC at three speeds. Fig. 9 summarises the occurrence counts of each VV in Sector 3 for
both DTC and FCS-PTC, enabling a direct comparison of switching diversity across methods.
Fig. 8. VV trace for FCS-PTC at three different speeds: a) 286 r/min, b) 764 r/min, and 1432 r/min
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7770
www.rsisinternational.org
Fig. 9. Occurrence quantity of voltage vectors at Sector 3
At low speed (286 r/min), Fig. 9 shows that DTC relies heavily on the
. This behaviour tends to reduce the
stator flux amplitude over time, a phenomenon commonly referred to as flux droop. Since radial VVs (such as
and
) are not applied in DTC, the flux control becomes dependent solely on v₀, making DTC ineffective
in restoring flux amplitude. This explains the higher flux ripple observed under DTC in Section 3.1. The
omission of
and
can also be confirmed directly from the DTC LUT (Table 2): for every sector, the LUT
only maps flux and torque hysteresis states to tangential or zero vectors, and never assigns radial vectors. This
confirms that their absence in the experimental results is not incidental but a fundamental feature of the DTC
switching logic. Furthermore, Fig. 10 illustrates the theoretical influence of radial vectors
and
on the
stator flux magnitude and torque, explaining why they are excluded from the DTC switching table but
selectively included by FCS-PTC.
Fig. 10. Voltage vector effect in Sector 3 according to three flux vector positions:
a) Application of
and b) Application of
When the flux vector is positioned at the beginning of the sector (denoted as

, red arrow), applying
rapidly increases the flux magnitude while causing a slow increase in torque. At the middle position (

,
green arrow),
still causes a rapid flux rise but induces no torque change. At the end of the sector (

,
orange arrow),
again increases flux but results in a slow torque decrease. The behaviours of
, which is the
radial VV opposite to
, mirrors these effects. It causes a consistent reduction in flux magnitude, with similar
torque changes depending on the vector’s position. The significant influence of
and
on flux makes them
difficult to control using the conventional hysteresis-based DTC, hence their exclusion from the DTC
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7771
www.rsisinternational.org
switching table. However, this omission leads to over-reliance on
for flux regulation, often resulting in flux
droop and high ripple, especially under low-speed conditions. Conversely, Figs. 8 and 9 demonstrate that FCS-
PTC does not limit VV selection. It optimally includes radial vectors when needed to dynamically balance
both torque and flux, enabling finer control and lower ripple under varying operating conditions.
At medium speed (764 r/min), the occurrence results in Fig. 9 indicate that DTC still avoids radial vectors
and
, while FCS-PTC makes selective use of them for fine flux control. This ability to engage radial vectors
dynamically explains the improved flux stability of FCS-PTC compared to DTC.
At high speed (1432 r/min), DTC shows less application of
and
, as seen in Fig. 9, highlighting a
limitation in tangential VV diversity. As discussed in Section 2.2,
and
are categorized as forward
tangential vectors, which are typically responsible for increasing torque depending on the flux vector position.
Their absence implies that torque control relies heavily on repeated application of other tangential vectors such
as
and
, or even zero vectors, depending on the hysteresis controller’s response. This behaviour is likely
caused by the aggressive nature of hysteresis control at higher speeds, where the torque error changes rapidly.
The hysteresis controller tends to favour vectors that produce stronger, immediate torque responses, leading to
neglect of smoother vectors like
and
. Consequently, torque transitions become uneven and ripple
increases.
Table 4 presents a comparative summary of VV selection characteristics for DTC and FCS-PTC. The table
highlights how each method handles VV diversity and its implications on flux and torque control. This
overview reinforces the observed performance trends and explains why FCS-PTC delivers superior ripple
performance across all speed conditions.
Table 4 Comparison of Voltage Vector Selection between DTC and FCS-PTC
Aspect
DTC
FCS-PTC
VV Selection
Method
Fixed Look-Up Table (LUT) based on
flux and torque hysteresis states
Evaluates all 7 active VVs using a cost function
at each sampling instant
VV Variety Used
Limited (usually excludes radial VVs)
Full set of VVs
Use of Zero Vector
Frequently selected to control flux,
especially at low speed
Selectively applied based on prediction
outcome and cost function
Use of Radial VVs
Not used at all
Utilized for fine flux control especially at low
and medium speeds
Use of Tangential
VVs
Limited to specific pairs depending on
sector and LUT logic
All tangential VVs considered and used
depending on prediction effectiveness
Impact on Flux
Control
Indirect via zero vector and limited
tangential options
Direct control via radial vectors and cost-
optimized decisions
Impact on Torque
Control
Dependent on hysteresis width and
LUT choice
Optimized via cost function prioritization
Limitations and future work
This study compared DTC and FCS-PTC under steady-state, no-load conditions to isolate intrinsic control
characteristics and ensure reproducibility. While this approach clarifies the direct influence of voltage-vector
selection, it does not account for dynamic load interactions, mechanical inertia, or regenerative effects
common in industrial environments. Therefore, the findings should be interpreted as baseline control
characteristics rather than complete system efficiency data.
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7772
www.rsisinternational.org
Future extensions should consider transient operations such as acceleration, deceleration, and regenerative
braking, where voltage-vector transition dynamics may differ significantly. Investigating these regimes would
provide deeper insights into energy recovery, drive stability, and adaptability under real-world conditions.
Further, integrating multi-objective cost functions that simultaneously optimize energy efficiency, torque
smoothness, and switching losses could enhance the relevance of predictive control for industrial
sustainability.
From a social and educational perspective, this experimental framework can be expanded into training
modules for engineering students and technicians, equipping them with hands-on experience in sustainable
motor-drive control. Future work should include variable and transient load testing using a dynamometer
setup, enabling evaluation of torque response, efficiency, and thermal performance under realistic operating
conditions. Integrating a power analyzer would allow direct measurement of input electrical power and output
mechanical torque, providing quantitative validation of energy efficiency claims. Moreover, comparative
analysis of computational cost and control delay between FCS-PTC and conventional DTC would help assess
practical implementation feasibility in real-time embedded systems. Also, exploring adaptive or multi-
objective cost functions could further enhance predictive control accuracy while balancing energy efficiency
and switching loss trade-offs. Finally, future collaborations with industry could translate these results into
policy recommendations for energy-efficient motor standards, supporting Malaysia’s transition toward low-
carbon and smart-manufacturing initiatives.
CONCLUSION
This study presented a comparative experimental evaluation of DTC and FCS-PTC for an induction motor
drive across varying speed conditions. Results demonstrated that FCS-PTC consistently reduced torque and
flux ripples relative to DTC, particularly at low speed where the conventional DTC approach exhibits
excessive flux ripple due to limited voltage-vector diversity. Analysis of voltage-vector selection revealed that
DTC’s fixed look-up table restricts radial and tangential vector utilization, while FCS-PTC’s predictive
approach evaluates all possible vectors, enabling smoother torque response, improved flux regulation, and
enhanced electromagnetic stability.
Beyond technical improvement, these outcomes signify tangible societal benefits. Improved torque control
contributes to higher energy efficiency and reduced electrical losses in industrial systems, which supports
Sustainable Development Goals (SDGs) related to clean energy and responsible production. The experimental
platform also provides a replicable model for experiential learning and workforce training in advanced control
systems, strengthening local engineering capacity.
Although the present evaluation was limited to no-load steady-state conditions, the results establish a strong
foundation for subsequent energy-efficiency validation under dynamic operating regimes. The consistent ripple
reduction achieved by FCS-PTC suggests potential for lower energy losses and smoother drive operation,
which warrants future confirmation through direct inputoutput power analysis.
Overall, the study confirms that predictive torque control not only offers superior dynamic performance but
also aligns with broader social objectives of sustainable energy use, technological innovation, and educational
advancement. It thus serves as a bridge between engineering research and societal impact, promoting the
integration of intelligent control methods into future industrial and academic ecosystems.
REFERENCES
1. Aziz, A.G.M.A., et al., A comprehensive examination of vector-controlled induction motor drive
techniques. Energies, 2023. 16(6): p. 2854.
2. Bhowate, A., M. Aware, and S. Sharma, Predictive torque control with online weighting factor
computation technique to improve performance of induction motor drive in low speed region. IEEE
Access, 2019. 7: p. 42309-42321.
3. Takahashi, I. and T. Noguchi, A new quick-response and high-efficiency control strategy of an
induction motor. IEEE Transactions on Industry applications, 1986(5): p. 820-827.
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7773
www.rsisinternational.org
4. Djamila, C. and M. Yahia, Direct torque control strategies of induction machine: comparative studies.
Direct Torque Control Strategies of Electrical Machines, 2020: p. 17.
5. Tatte, Y. and M. Aware, Twelve sectors direct torque control for three-level inverter fed induction
motor drive. Electrical Engineering, 2024: p. 1-15.
6. Aissa, O., et al., Advanced direct torque control based on neural tree controllers for induction motor
drives. ISA transactions, 2024. 148: p. 92-104.
7. Lodi, K.A., et al., Ann-based improved direct torque control of open-end winding induction motor.
IEEE Transactions on Industrial Electronics, 2024. 71(10): p. 12030-12040.
8. Cai, J., et al., Overview of the direct torque control strategy in switched reluctance motor drives. IEEE
Transactions on Transportation Electrification, 2024. 11(1): p. 1617-1628.
9. Rodriguez, J. and P. Cortes, Predictive control of power converters and electrical drives. 2012: John
Wiley & Sons.
10. Mukhopadhyay, S., S. Mansani, and S. Sekaran, Torque ripple minimization and speed control of
switched reluctance motor employing model predictive controller. Electrical Engineering, 2024.
106(6): p. 7035-7054.
11. Geyer, T., Model predictive control of high power converters and industrial drives. 2016: John Wiley
& Sons.
12. Mamdouh, M. and M.A. Abido, Efficient predictive torque control for induction motor drive. IEEE
Transactions on Industrial Electronics, 2018. 66(9): p. 6757-6767.
13. Mousavi, M.S., et al., Predictive torque control of induction motor based on a robust integral sliding
mode observer. IEEE Transactions on Industrial Electronics, 2022. 70(3): p. 2339-2350.
14. Shahid, M.B., et al., Torque error based auto-tuning of weighting factor in model predictive torque
control of induction motor drive. Journal of Electrical Engineering & Technology, 2023. 18(3): p.
1959-1973.
15. Kumar, R.H., A. Iqbal, and N.C. Lenin, Review of recent advancements of direct torque control in
induction motor drivesa decade of progress. IET Power Electronics, 2018. 11(1): p. 1-15.
16. El Ouanjli, N., et al., Modern improvement techniques of direct torque control for induction motor
drives-a review. Protection and Control of Modern Power Systems, 2019. 4(2): p. 1-12.
17. Mohanraj, D., et al., Critical aspects of electric motor drive controllers and mitigation of torque ripple.
IEEe Access, 2022. 10: p. 73635-73674.
18. Bhowate, A., M.V. Aware, and S. Sharma, Predictive torque control algorithm for a five-phase
induction motor drive for reduced torque ripple with switching frequency control. IEEE Transactions
on Power Electronics, 2019. 35(7): p. 7282-7294.
19. Li, Z., et al., Fault-tolerant predictive torque control design for induction motor drives based on discrete
space vector modulation. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2021.
9(5): p. 5441-5451.
20. Bindal, R.K. and I. Kaur, Torque ripple reduction of induction motor using dynamic fuzzy prediction
direct torque control. ISA transactions, 2020. 99: p. 322-338.
21. Wang, F., et al., A comprehensive study of direct torque control (DTC) and predictive torque control
(PTC) for high performance electrical drives. EPE Journal, 2015. 25(1): p. 12-21.
22. Krupa, T., S. Koraddi, and A. Raju. Model Predictive Torque Control of Induction Motor for Electric
Vehicle Application. in 2024 International Conference on Innovation and Novelty in Engineering and
Technology (INNOVA). 2024. IEEE.
23. Xu, A., et al., A new control method based on DTC and MPC to reduce torque ripple in SRM. IEEE
Access, 2019. 7: p. 68584-68593.
24. Karlovsky, P. and J. Lettl, Induction motor drive direct torque control and predictive torque control
comparison based on switching pattern analysis. Energies, 2018. 11(7): p. 1793.
25. Idris, N.R.N. and T. Sutikno. High performance direct torque control of induction motor drives:
Problems and improvements. in 2017 4th International Conference on Electrical Engineering,
Computer Science and Informatics (EECSI). 2017. IEEE.
26. Casadei, D., et al. Effects of flux and torque hysteresis band amplitude in direct torque control of
induction machines. in Proceedings of IECON'94-20th Annual Conference of IEEE Industrial
Electronics. 1994. IEEE.
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN SOCIAL SCIENCE (IJRISS)
ISSN No. 2454-6186 | DOI: 10.47772/IJRISS | Volume IX Issue X October 2025
Page 7774
www.rsisinternational.org
27. Alsofyani, I.M. and N.R.N. Idris, Simple flux regulation for improving state estimation at very low and
zero speed of a speed sensorless direct torque control of an induction motor. IEEE Transactions on
power electronics, 2015. 31(4): p. 3027-3035.
28. Rahman, M.F. and S.K. Dwivedi, Modeling, simulation and control of electrical drives. Vol. 118. 2019:
Institution of Engineering and Technology.
29. Takahashi, I. and Y. Ohmori, High-performance direct torque control of an induction motor. IEEE
transactions on industry applications, 1989. 25(2): p. 257-264.
30. Zaky, M.S., H.A. Maksoud, and S.M. Shaban, Analysis of Hysteresis Band Variations in DTC on the
Performance of IM Drives. Journal of Electrical Systems, 2020. 16(3).
31. Mathapati, S. and J. Bocker, Analytical and offline approach to select optimal hysteresis bands of DTC
for PMSM. IEEE Transactions on Industrial Electronics, 2012. 60(3): p. 885-895.
32. Zellouma, D., et al., Using the rooted tree optimization to increase the performance of the improved
backstepping control used to control the induction machine. Measurement and Control, 2025: p.
00202940251340675.
33. Terfia, E.-s., et al., Optimal Fractional Order Proportional Integral Controller for Dual Star Induction
Motor Based on Particle Swarm Optimization Algorithm. Journal Européen des Systèmes Automatisés,
2023. 56(2).