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Abstract— This paper presents a Model Predictive Control
(MPC) design for the Unified Power Quality Conditioner
(UPQC), an integration of series and shunt active filters to
improve power quality in a power distribution system. The
control strategy aims to regulate the load voltage and the source
current to the desired references in spite of the existence of
harmonic components in the supply voltage and the load
current, possible sag or swell in the supply voltage, and non-
unity power factor of the supply side. Kalman filters are used to
extract the fundamental as well as the harmonic components
abovementioned, which will then be used to formulate the
desired references and regarded as measurable disturbances,
respectively. Based on a state-space model developed for the
UPQC, an MPC controller is designed. Simulation studies on a
single-phase power distribution system are also presented to
verify the performance.
Index Terms— UPQC, MPC, Kalman filters, power quality.
I. INTRODUCTION
he
po
increasing use of power electronics degrades the
wer quality in power distribution system. Nonlinear
loads such as the adjustable speed drives or the rectifier
introduce periodic distortions to the supply current. Voltage
distortion may occur at the Point of Common Coupling
(PCC) as a result of this distorted current. This causes
malfunctioning of devices, overheating of power factor
correction capacitors, motors, transformers and cables, and
thermal tripping of protective devices installed there. In
addition, the operation of manufacturing plants like
petrochemical plants and semiconductor plants is highly
dependant on a stable supply voltage. The supply voltage has
to be free from any voltage sag or swell, while concurrently,
be maintained at a normally fixed frequency. These power
quality problems have become a great concern for both
utilities and customers [1], [2].
Therefore, many researches were carried out on
compensating devices to improve power quality in
powersystems, while at the same time, maintain a stable
supply voltage. The use of Dynamic Voltage Restorer (DVR)
This research work is supported by the School of Electrical and
Electronic Engineering, Nanyang Technological University, Singapore.
All the authors are with the School of Electrical and Electronic
Engineering, Nanyang Technological University, Singapore. K. H. Kwan
and P. L. So are also with the Centre for Advanced Power Electronics,
School of EEE, Nanyang Technological University.
*Corresponding author’s postal address: K. H. Kwan, School of Electrical
and Electronic Engineering, Power Electronics and Drives Lab., Nanyang
Technological University, Block S2, Nanyang Avenue, Singapore 639798
(email: kwan0019@ntu.edu.sg).
Model Predictive Control of Unified Power Quality Conditioner for
Power Quality Improvement
*K. H. Kwan, Y. S. Png, Y. C. Chu, Senior Member, IEEE, and P. L. So, Senior Member, IEEE
[3], [4], Uninterruptible Power Supply (UPS) [5], and
Unified Power Quality Conditioner (UPQC) [6]-[8] are some
of the ways to overcome the above power quality problems.
The UPQC, which is an integration of series and shunt
active filters, has the capability of improving power quality
at the point of installation in power or industrial distribution
systems. The series active filter is employed to compensate
for any distortions in the supply voltage, while the shunt
active filter is used to compensate for current harmonics in
the load current, as well as to correct the power factor of the
supply side near to unity. Over the past few years, major
research works have been carried out on control circuit
designs for UPQCs. Modern control theories are considered
and adopted to design control circuits for power quality
devices [9]-[11]. This paper introduces the application of
Model Predictive Control with Kalman filter to the UPQC to
improve the power quality in a power distribution system.
The Kalman filter also functions like a harmonics extraction
circuit.
Model Predictive Control (MPC) is an approach to
controller design that involves online optimization. The
online optimization takes into account the system dynamics,
constraints and control objectives. The key motivations of
using MPC for UPQC are:-
1) It can fully utilize the state-space model developed for
the UPQC presented in Section II below. Furthermore,
this state-space model is linear, time-invariant with a
low order, which is particularly suitable for the online
optimization required by the MPC.
2) MPC is able to handle hard constraints of the process
variables explicitly [12], [13]. In UPQC, the
manipulated variable is implemented with a Pulse
Width Modulation (PWM) technique, which has to be
limited to 1 ± , so that the active filters will operate in
the linear modulation region. Conventional linear
controllers need to avoid such limits, otherwise
instability might occur. This results in a more
conservative design, thus limiting the compensation
capability of the UPQC.
In this paper, various functional modules of the UPQC and
the MPC controller are discussed in subsequent sections.
Simulation results for different operating conditions in a
2kVA single phase power distribution system are then
presented to verify the performance of the control design.
II. MODELLING OF THE PLANT
The equivalent single-phase representation of the UPQC
topology considered [14, pp. 380-406] is shown in Fig. 1.
T
16th IEEE International Conference on Control Applications
Part of IEEE Multi-conference on Systems and Control
Singapore, 1-3 October 2007
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