Space Vector Modulation Scheme with Direct Vector
Quantization for any N-level Voltage Source Inverter
Biji Jacob, M. R. Baiju
College of Engineering, Trivandrum, India
biji@ece.cet.ac.in, mrbaiju@cet.ac.in
Abstract—A new space vector based spread spectrum modulation
scheme for any general N-level voltage source inverter is
proposed in this paper. The proposed scheme uses the sigma delta
modulation with quantizer implemented by the principle of
Vector Quantization. The N-level inverter vector space is divided
into different Voronoi regions around the inverter switching
vectors. A new method is proposed for directly quantizing the
reference space vector to the inverter switching vectors. The
property of integer values of the inverter switching vectors in 60
0
coordinates is utilized for the direct Vector Quantization of
instantaneous reference voltage space vector. The proposed
scheme is implemented for 5-level inverter realized by an open-
end-winding induction motor fed with two 3-level inverter from
either side having symmetrical dc-link voltages and results are
presented.
Keywords—Sigma Delta Modulator, Space Vector, Spread
Spectrum Modulation, Vector Quantisation.
I. INTRODUCTION
Multilevel inverters are extensively used for medium-
voltage high-power industrial drive applications. Voltage
operation above classic semiconductor limits, lower common
mode voltages, near sinusoidal outputs, reduced voltage
derivatives (dv/dt), voltages with reduced harmonic content,
increased efficiency are the main characteristics that have made
multilevel inverters more popular [1 – 5]. The recent
development of multilevel inverters has led to the introduction
of many new simpler and flexible modulation schemes [6 – 15].
The modulation and control strategies in multilevel inverters
can be broadly classified into Voltage Level based algorithm
and Space Vector based algorithm [13], [14]. The space vector
modulation schemes have wider linear modulation range, lower
baseband harmonics and convenience for digital
implementation [13], [14]. Compared with conventional
orthogonal coordinate system, the representation of space
vector in 60
0
Coordinate system reduces the computational
complexity by eliminating fractional arithmetic [6 – 8]. In
addition to the desired fundamental component, converters
employing conventional deterministic modulation schemes
have power spectrum concentrated around the switching
frequency and its harmonics [16], [17]. This results in radiation
of the electromagnetic interference and acoustic noise [16]–
[22]. In two level inverters, to spread the harmonic energy over
a large frequency range, variable frequency switching schemes
such as random modulation of the switching frequency, sigma-
delta modulation, chaotic control and hysteresis control are
used [18]–[45].
In Adjustable Speed Drives the analog control signal is
modulated and amplified by the voltage source inverter which
is then demodulated by the high impedance offered by
inductance of the motor. Hence in motor drive application, the
inverter acts as transmission medium and motor act as the
demodulator analogous to the communication system with
modulation [35]. The voltage source inverter has a discrete state
output like a digital systems and it tries to approximate the
input signal, which is a set of three phase analog signals, by
switching its discrete states at a high frequency. Therefore,
inverter’s behavior is similar to an oversampling analog-to-
digital converter (ADC) [40 – 41]. Hence induction motor drive
system can be considered as a communication system with
digital modulation. This understanding prompts us to explore
the possibility of adopting the techniques used in the context of
digital communication system, to control multilevel inverters.
In digital communication, sigma delta modulators are used
to achieve higher resolution with lesser number of bits by
spreading the quantization noise out of the signal bandwidth [46
– 48]. The switching frequency in the sigma delta converters
varies randomly resulting in spreading of output power
spectrum. This will eliminate the concentration of energy at
switching frequency harmonics which are present in the fixed
frequency switching [46 – 48]. Instead of processing the N
different bits of the ADC separately, as a Scalar Quantity, they
can be treated as a single Vector Quantity with a magnitude and
phase value for better result [49], [50]. By Shannon’s rate-
distortion theory, better result can always be achieved by
coding vectors instead of scalars. For efficient quantization in
digital communication and data compression, the concept of
Vector Quantization is used instead of scalar quantization [49],
[50]. This principle of vector quantization has been used in
space vector based sigma delta modulation for multilevel
voltage source inverters after mapping the reference space
vector into the 2-level space vector plane [51 – 55].
This paper proposes a space vector modulation scheme
which directly Vector Quantize the reference space vector of
the multilevel voltage source inverters in the sigma delta
modulator without mapping. The inverter voltage space vectors
are represented in 60° coordinate system having integer values
for Vector Quantization of the instantaneous reference space
vector. The proposed scheme is implemented for 5-level
inverter realized by an open-end-winding induction motor fed
with two 3-level inverter from either side having symmetrical
dc-link voltages and results are presented.
2012 IEEE International Conference on Power Electronics, Drives and Energy Systems
December16-19, 2012, Bengaluru, India
978-1-4673-4508-8/12/$31.00 ©2012 IEEE