This paper is available online at www.praiseworthyprize.org
International Review of Automatic Control (I.RE.A.CO.), Vol. 11, N. 3
ISSN 1974-6059 May 2018
Copyright © 2018 The Authors. Published by Praise Worthy Prize S.r.l.
This article is open access published under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/ )
Available online by May 31th, 2018 https://doi.org/10.15866/ireaco.v11i3.13849
143 143
Fuzzy-IP Controller for Voltage Regulation
in a Stand-Alone Microgrid System
Seno D. Panjaitan
1
, Bomo W. Sanjaya
2
, Rudi Kurnianto
3
Abstract – This paper presents a method that combines fuzzy inference system and Integral-
Proportional named Fuzzy-IP controller to regulate an independent microgrid voltage with a
distributed energy resource unit. The unit employed photovoltaic (PV) array with DC voltage
converted to three-phase AC voltage. The control design was carried out through modeling and
simulation using Matlab software environment. Transfer function with the 2×2 structure using
system identification has estimated the non-linear plant model. Two controllers transformed the a-
b-c to the d-q axis coordinates of voltage to simplify linear control design. An oscillator is applied
to set frequency according to the recommendation. The results show that the compensated case-
study system using Fuzzy-IP with disturbance tracked the setpoint excellently and it regulated the
voltage properly including frequency control using internal oscillator. The paper presents
performance superiority of the proposed method over PI control by comparing the transient
response, the mean squared error, and the root mean squared error. Copyright © 2018 The
Authors.
Published by Praise Worthy Prize S.r.l.. This article is open access published under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/3.0/ ).
Keywords: Smart Grid, Microgrid, Energy Control, Distributed Generator, Distributed Energy
Resource
Nomenclature
V
abc
Three-phase Load Voltage
r
1
/ r
2
Reference of d-axis / q-axis coordinates
y
1
/ y
2
Output of d-axis / q-axis coordinates
u
1
/ u
2
Input related to d-axis / q-axis coordinates
D
1
/ D
2
Disturbance to d-axis / y-axis coordinates
Gp Transfer function of the entire plant
Gp
11
Transfer function between y
1
and u
1
Gp
12
Transfer function of the coupling between y
2
and u
1
Gp
21
Transfer function of the coupling between y
1
and u
2
Gp
22
Transfer function between y
2
and u
2
e Error which is the difference between
reference input and actual output, e.g. e
1
(for
d-axis) = y
1
-r
1
, e
2
(for q-axis) = y
2
-r
2
de Differential error or error change
X
i,1
fuzzy sets of e (input variable) where i is the
rules number
X
i,2
fuzzy sets of de (input variable), where i is
the rules number
X
i,3
Fuzzy set of K
Ki
(output variable), where i is
the rules number
()
A
z Aggregated output Membership Function
(MF) a fuzzy set A
z
COA
Aggregation result on fuzzy inference system
based on method Centroid of Area
K
i
Integral gain of PI controller where Ki
min
and
Ki
max
are respectively the minimum and
maximum value of K
i
K
Ki
Coefficient generated by the fuzzy system
for Ki
max
- Ki
min
Kp Proportional gain of PI Controller
Gc(s) Transfer function of the controller
pu Per unit dimensionless value (maximum 1)
I. Introduction
Electrical engineering capacity from renewable
sources is increasing steadily and it is bringing a new
paradigm of a distribution system that faces new
challenges in adopting new control mechanism and
framework to integrate many kinds of available energy
sources with different characteristics. The renewable
sources offer the potential of a sustainable and an
environmental-friendly power generation, but the
technologies still present challenges due to their
intermittent characteristics. Efforts to apply control
engineering in the conversion, distribution process and
conservation have been attracting much attention to
recent researches due to the present and uprising energy
and environmental problems. The new topology and
design of generation and distribution systems from
renewable sources develop continuously. It is essential to
understand the distinctive characteristics of each element
of the system and the interaction between them, in order