Optimization Application in Integrated Transmission
and Distribution Operation: Co-Simulation Approach
Seyed Masoud Mohseni-Bonab
Hydro-Québec/IREQ
Power Systems Simulation and
Evolution
Varennes, QC, Canada
s.m.mohsenibonab@ieee.org
Ali Hajebrahimi
Hydro-Québec/IREQ
Power Systems Simulation and
Evolution
Varennes, QC, Canada
ali.hajebrahimi.1@ulaval.ca
Ali Moeini
Hydro-Québec/IREQ
Power Systems Simulation and
Evolution
Varennes, QC, Canada
Moeini.ali@ireq.ca
Innocent Kamwa
Hydro-Québec/IREQ
Power Systems Simulation and
Evolution
Varennes, QC, Canada
kamwa.innocent@ireq.ca
Abstract—The load increment as the consequence of
electrification of everything in the modern distribution networks,
makes it imperative to analyze the interactions between electric
power transmission and distribution (T&D) systems. Such a
massive electrification may deteriorate voltage profiles and
power exchanges, which results consequently in lower grid
efficiency. As a low-cost and effective solution, the installed
controllable devices for voltage in distribution networks such as
under-load tap changer (ULTC) and capacitor banks can be
optimized to overcome the aforementioned challenges. This
paper proposes a new integrated transmission and distribution
co-simulation platform where the aggregated loads in
transmission system simulator (i.e. MATLAB) are replaced by a
distribution network modeled in distribution system simulator
(OpenDSS) through a Python interface. The overall T&D system
efficiency is then optimized while maximizing loading margin
(LM) and minimizing the total system power losses are
contemplated as two objective functions. The proposed approach
is applied on a constructed T&D grid with 68K nodes and the
results demonstrate that the efficiency of the T&D grid can be
improved by optimal setting of the control variables.
Index Terms— Integrated transmission and distribution (T&D)
systems, Co-simulation, Optimization, Tap changer, Capacitor,
loading margin.
Nomenclature
/
B j
N N
Set of buses.
L
N Set of branches (transmission lines).
G
N
Set of generating units.
D
N Set of load buses.
/ i j
Index of bus Number where
1, 2, ,
B
i N = K
.
l
Index of transmission lines.
/ / y g b
l l l Admittance/conductance/ susceptance of l
th
line.
ij ij ij
Y G jB = +
ij
th
element of system Y
bus
matrix.
Gi
P Active power production at bus i .
min max
/
i i
G G
P P Minimum/maximum values for active power.
i
D
P Real power of the i
th
bus .
i
D
Q
Reactive power of the i
th
bus.
min max
/
i i
G G
Q Q
Minimum/ Maximum values for reactive power of the
i
th
bus.
min max
/
i i
V V
Minimum/ Maximum value for voltage magnitude of the
i
th
bus.
max
S
l
Maximum value of power flow of l
th
transmission
line.
x Vector of dependent variables (optimization variables).
/
j i
V V Voltage magnitude of bus i/j .
/
j i
θ θ
Voltage angle at bus i/j .
i
C
Q
Reactive power compensation at bus i.
i
R Voltage regulator at bus i.
S
l Power flow of l
th
transmission line.
λ Loading parameter of the system.
i
L
K
Rate of load change at bus i.
i
G
K Rate of change in active power generation of unit i.
/ PL LM Real power loss / loading margin.
I. INTRODUCTION
The imperative energy transition to decarbonise the society
of tomorrow will increase the penetration of distributed
renewable energies, the emergence of energy systems
incorporating advanced power electronics (smart inverters), e-
mobility and smart cities revolving around active distribution
networks. According to pivotal rule of power grid in this
transition, it is required to develop new class of tools serving
as a basis for the simulation and analysis of these systems in
evolution in which the new energy mix has high granularity of
the involved equipment and high complex business models.
The integrated transmission and distribution (T&D)
studies in power system can be broadly classified into two
categories: A) co-simulation of integrated T&D and B) co-
optimization of integrated T&D. Co-optimization aims to
construct a union framework, sometimes as a package, for
studying several levels of power systems simultaneously. In
co-simulation studies different dedicated software, two or
more, are used simultaneously to study the effects of different
phenomena in power systems, such as failures among
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