International Review on Modelling and Simulations (I.RE.MO.S.), Vol. 4, N. 4
August 2011
Manuscript received and revised July 2011, accepted August 2011 Copyright © 2011 Praise Worthy Prize S.r.l. - All rights reserved
1690
Improving Transient Stability Using Combined Generator Tripping
and Braking Resistor Approach
Mostafa Eidiani
1
, Mohammad Ebrahimean Badokhty
2
, Mahdi Ghamat
2
, Hossein Zeynal
3
Abstract – In this paper, improving in transient stability is sought through adevelopment of
combined approach. Since, in power systems, the maximum use of existing capacities along with
the increased powers transferred through the transition lines make transient stability studies even
more important. When the fault occurs, the kinetic energy of system is increased and if the system
kinetic energy exceeds a certain amount, system instability will meet. Generator tripping is also
one of the most effective methods of improving stability in case of severe faults. In this method, we
trip a number of units of a certain unit to stabilize the system. In fact, siftingparticular set
ofgenerators, it will decrease the kinetic energy of the system so that stability can be achieved. In
generator tripping, for such reasons, the system has to maintain stability where lest number of
units can be possibly blown out. Due to its thermal limitations, fixed place of resistor bank and
possibility of back swing, however the braking resistor is less efficient than generator tripping.
Inour proposed combined method, system stability against severe turbulence is tackledwith
minimum tripping of generator units.At this proposal, the intensity of faultwill be valuably lessen
by applying braking resistor, and then, for the purpose of improving transient stability, the kinetic
energy is reduced by removingcertain unit at the right time.The approach has been tested on 9-bus
with 3-generator system to demonstrate promising effects. Copyright © 2011 Praise Worthy Prize
S.r.l. - All rights reserved.
Keywords:Transient Stability, Generator Tripping, Braking Resistor, Energy Function
Nomenclature
V Energy function
ܯ
Inertia constant of generator i
Mechanical input power of generators
Electrical power output of generator
ߜ
Vertex
ߠ
Generator's angle to vertex
ߠ
௦
The angle at the stable equilibrium
point ሺ .ݏ. ሻ
ߠ
The angle at the instable equilibrium
point ሺu. e. pሻ
Potential energy at instable
equilibrium point
Kinetic energy of the system at fault
time
′
Kinetic energy after tripping a number
of generators of unit i
ݐ
Fault time
ݐ
Critical time
௦ௗ
Total kinetic energy of generator units
required to be shed
ߙ
Percentage of remaining generators of
power plant unit j after tripping
ߚ
Percentage of production, the loss of
unit j will be specified
ܧ
Voltage behind the transient reactance
of straight shaft of i th generator
ൌ |
|
ఏ
Voltage of kth bus with no generator
attached
Matrix of reduced reactance with
elimination of all nodes except for the
generator's internal nodes
௦
ሺݐሻ Power absorbed by the resistor
|
| Size of voltage of the bus bar on
which the brake resistor is installed
I. Introduction
Dynamic systems are designedto operate in stable
conditions. At this point, the system must satisfactorily
function and remain stable at all times, especially when a
severe disturbance takes place onto the system which can
be hedged by drawing sufficient safety margin [1].
Assuming that the system is working within one of its
stable modes, if the system eventually returns to its
equilibrium condition after a disturbance, the system is
said to be stable [2]. If it converges to another
equilibrium condition close to the former equilibrium
point, it is similarly recognized as a stable working
condition for the given dynamic system, and the system
is known to be instable if the variables of the system
diverge from the equilibrium point over time span.
In short, the stability of power systems is, in fact, the
tendency of the power system to create recovery forces