2011 8th International Conference on the European Energy Market (EEM) • 25-27 May 2011 • Zagreb, Croatia
User P-Q Diagram as a Tool in Reactive Power
Trade
Ivan Ilic #1, Alfredo Viskovic *2, Mario Vrazic #3
#
Department of Electric Machines, Drives and Automation
Faculty of Electrical Engineering and Computing, University of Zagreb
Unska 3, HR-10000 Zagreb, Croatia
1
3
[email protected]
[email protected]
*
HEP d.d.
Ulica grada Vukovara 37, HR-10000 Zagreb, Croatia
2
[email protected]
Abstract— Trading with reactive power will soon become a
very important part of electric energy trade. However, while
trading, voltage regulation in portable and distribution systems
must not be neglected. In order to balance the technical and
economic aspects it is necessary to be familiar with the electric
power system, the source of electric energy most of all, meaning
the synchronous generator and its possibilities. These possibilities
are shown in the synchronous generator P-Q diagram. We
nowadays use static P-Q diagrams, provided by generator
producers, which in most cases refer only to generators. This
article presents a dynamic user P-Q diagram containing
changeable parameters and showing a real availability of a
synchronous aggregate.
I. INTRODUCTION
A common P-Q diagram is static (Fig. 1) and does not
show dynamic limits of a synchronous aggregate working
range. Trading with electric energy requires a knowledge of
total real production capacity. When using the standard P-Q
diagram nobody knows the real possibilities of a synchronous
aggregate, particularly in the reactive power domain.
The dynamic user P-Q diagram [1], on the other hand,
provides an insight into the real working range of a
synchronous aggregate.
By using this method a synchronous aggregate operating
area can be increased by up to 30% in terms of capacity and
up to 10% in terms of induction. Wider synchronous
aggregate usage possibilities represent additional „assets“ in
reactive power trade, which is crucial for the process of
voltage regulation in the high-voltage grid.
Another condition for creating a user P-Q diagram is a
measurement system which initially measures all armature
and excitation voltages and currents, as well as grid voltage.
This article gives a description of all the conditions and
systems necessary for the realisation of such a diagram.
Fig. 1: P-Q Diagram of the Aggregate
978-1-61284-286-8/11/$26.00 ©2011 IEEE
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2011 8th International Conference on the European Energy Market (EEM) • 25-27 May 2011 • Zagreb, Croatia
II. DESCRIPTION OF THE P-Q DIAGRAM
The P-Q diagram represents a diagram of possible use of a
synchronous aggregate and, as such, has been used for a long
time. Development of computer systems enabled a detailed
modelling of the synchronous generator end region, at the
same time giving a better insight in the conditions there,
particularly in the capacity mode of generator operation. It
also enabled development of measurement systems that can
measure and process huge amounts of information in a
relatively short time.
Everything mentioned so far has made the classical (static)
P-Q diagram out-dated and made introduction of dynamics in
its use possible.
The marked limits of the synchronous generator–aggregate
authorised operating area in Fig. 1 indicate that the operating
area is limited by unchangeable and changeable boundaries.
The unchangeable ones are the minimum and maximum
active powers which depend on the construction of the
aggregate and its plant (turbine power, minimum boiler power,
maximum water flow etc.).
On the other hand, all the other boundaries are changeable,
which means that they depend on the operating point (grid
voltage, active and reactive power).
It can be noticed that, if the warming of the rotor winding is
monitored, it is possible to extend the operating area more to
the right, i.e. deeper into the inductive area.
It is also possible, if the warming of the stator winding is
monitored, to increase the stator power, i.e. armature current.
If the warming of the end region and the load angle are
monitored, a widening of the operating area to the left, i.e.
capacity area, is possible.
All of the abovementioned requires permanent monitoring
of the mentioned physical quantities and a complete
knowledge of electric, magnetic and thermic conditions in the
generator.
Widening the operating area does not necessarily mean
shortening the generator life span. The marked limits of the
allowed load are mostly arbitrary and in most cases
questionable. Cautious experts will move work limitations and
protection boundaries to a safe distance if they do not know
the real possibilities of the generator. The reason is not, of
course, a lack of expertise, but higher security requirements
caused by inability to get insight into the real possibilities and
limitations of the generator/aggregate.
By a detailed knowledge of the generator/aggregate drive
properties and insight in its current condition achieved by a
monitoring system it is possible to approach the real
boundaries of the operating area and thus optimise its load in
order to achieve a more effective voltage regulation of the
high-voltage grid, as well as achieve a higher profit without
shortening designed life span of the generator.
It is possible, in controlled conditions, to cross some
boundaries (for example the excitation current limit) if there is
a justification for it, such as ensuring the stability of the
electric power system at any cost. Such activities should not
endanger functioning of the operation, which means they
mustn't cause a malfunction (for example breakage of the
winding due to a higher voltage), but one must be aware that
such activities shorten the working life span of the machine.
Apart from thermic limitations the limit of the generator
operation stability is very important and much more
demanding in terms of dynamics. This limit must not be
crossed because it would mean entering the asynchronous
working mode which means that the generator falls out of
pace. Such work is accompanied by heavy vibrations, a
change of rotation speed and a big mechanical strain on the
whole aggregate system. It is the reason why experts want to
have good protection when adjusting protection and operating
limits.
We can prevent switching to asynchronous operation by
monitoring load angle (the δ angle) as well as other relevant
physical quantities such as: armature voltage and current,
excitation voltage and current, grid voltage, and temperature
in the cooling system of the active parts of the machine.
Besides this information, we need to make a detailed model of
the synchronous machine.
III. MAKING A P-Q DIAGRAM
In order to make an online P-Q diagram it is important to
do the following:
- Get all the needed information about the generator
(blueprints, measurements, characteristics...)
- Install a measurement system to measure the relevant
physical quantities
- Test no load operation and a short circuit
- Measure several operating points for different grid
voltages
- Make a FEM model of the end region of the generator
- Make a generator model for an online P-Q diagram
- Continue to monitor the operating points (each new
operating point makes the model more accurate)
A. The Measurement System
Prior to doing a measurement system project some basic
requirements for its functioning need to be fulfilled regarding:
1. Possibility of Internet (Intranet) communication,
2. Possibility of calculating active, reactive and virtual
generator power,
3. Possibility to process armature current and voltage,
excitation current, and the δ load angle,
4. Possibility of measuring the stator and rotor
temperature [2],
5. Connection with the signals of armature current and
voltage, excitation current and voltage with galvanic
separation and maximum protection to avoid any
possibility of interference between the designed
measurement system with the measuring and
protection systems of the generator and the power plant,
6. Sufficient accuracy,
7. Possibility of magnet field signal processing using
available maximum and effective values of the basic
harmonic and total magnetic field signal,
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2011 8th International Conference on the European Energy Market (EEM) • 25-27 May 2011 • Zagreb, Croatia
8.
Possibility of processing vibration signal to obtain
available values of acceleration, speed and vibration
shift, and online FFT analysis,
9. Flexibility and possibility of enlarging the
measurement system, i.e. possibility of its upgrade in
case of extending the operating requirements from the
P-Q diagram.
To begin with, it is necessary to become familiar with the
generator on which the measurement system is installed.
Firstly, measuring points must be chosen very carefully to
ensure the measuring to be representative. By that we mean
places of installing the measuring probes into the generator
with the purpose of measuring temperature, magnetic
induction and vibrations.
Technology of installing measuring probes should be
carefully analysed according to the requirements of the
operational security. For example, in case of installing
measuring signal lines from hydrogen cooled turbo generator
it is necessary to carry out, apart from a suitable construction
of a signal line cable glands, a very carefully controlled
testing of gas tightness in the cable glands, as well as in the
final installation. A technically satisfying (concrete) solution
of the gas tightness cable glands for Plomin 2 power plant
turbo generator is shown in Fig.2. Furthermore, all these
signals have to be protected from disturbances. It is
understandable that installation of probes should not cause
breaches which would weaken the winding insulation system.
Measuring the load angle (the δ angle) requires a
comparison of electrical and mechanical quantities, for
example generator voltage and the mechanical position of the
rotor. A phase shift of these two quantities is the load angle in
which an always present inherent shift is calculated (the δ0
angle). This value is measured during the synchronisation
process, just before the synchronisation itself. Later, this value
is subtracted from all the measured values of the load angle
giving the current load angle value.
Fig. 3: Placement of the Pt 1000 probes in the end region
Fig. 4 gives an example of the measurement system
installed on the generator in the Plomin 2 power plant.
Fig. 2: Installation of the cable glands into the hydrogen cooled turbo
generator (250 MVA power)
While designing and installing the probes (for measuring
magnet induction and temperature) attention should be paid to
their proper spatial distribution. It means that work should be
done simultaneously on the FEM models in order to determine
the installation place for the probes with certainty (Fig.3)[3].
Other physical quantities are measured by already installed
probes (shunts, current and voltage measuring transformers,
etc.). One has to be careful not to disturb functioning of the
existing measuring and security systems when installing a new
measurement system and measuring probes. It is best achieved
by galvanic separation of the measurement systems.
B. Model of the Synchronous Generator
After installing all the above mentioned probes and their
connection in the whole measurement system initial
measurements can be carried out, i.e. testing the no load
operation and a short circuit [4].
These tests determine the key parameters of the
synchronous generator, such as saturated and non-saturated
synchronous reactance, rated excitation current, etc. while
modelling the generator in one of the FEM tools should be
done simultaneously.
The main parameters for the model are synchronous
reactances (direct Xd and quadrature Xq for the hydro, i.e. Xs
for turbo generators). Two kinds of synchronous reactances
are used in practice: saturated for the inductive operating area
and non-saturated for the capacitive operating area. This leads
to a discontinuity in making the P-Q diagram when passing
from one operating area into the other, which is a source of
inaccuracy. We would like to make a P-Q diagram in which a
change of synchronous reactances regarding the operating
point is continuous, which it is in reality, and install it as such
in the model and online user P-Q diagram.
To determine synchronous reactances it is necessary to
measure several operating points.
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2011 8th International Conference on the European Energy Market (EEM) • 25-27 May 2011 • Zagreb, Croatia
It is also necessary to measure the leakage reactance of the
generator. According to the IEC norms the Xσ leakage
reactance is determined by charging the armature winding by
a three-phase voltage system when the rotor is extracted.
Reactance measured in such a way contains the part belonging
to the magnetic current which encloses the space where the
rotor is otherwise situated. This part of reactance does not
represent the leakage reactance and it should be measured and
subtracted from the total reactance of one-phase of the
winding.
The leakage reactance can be measured on already
operating generators by measuring the induction in the air gap.
It can be measured as a ratio of the measured induction values
in the air gap for Un in the no load test and for In in the short
circuit test.
Synchronous reactance of the generator can then be worked
out in an analytical and graphic way for any operating point of
the P-Q diagram from the characteristics of the no load
operation and short circuit, measured value of the leakage
synchronous reactance, voltage, generator, active and reactive
power, and excitation current.
Of course, if more different operating points are measured,
particularly for different grid voltages, the model is more
accurate.
The idea is, after installing the measurement system and
after initial measurements, to set the measurement system in
such a way that it automatically measures the operating points
not yet read, thus improving the accuracy of synchronous
reactance for more operating points. The accuracy of the
model is also improved in this way.
Fig. 4. Example of the Measurement System
A software subsystem controls the implementation of the
described idea by analysing the existing readings and deciding,
according to different criteria, if a current operating point
needs to be recorded. After recording the current operating
point, the information is loaded into the model with the
purpose of entering the unknown value of synchronous
reactance or its correction in case it has previously been
entered.
Once synchronous reactance is known and the δ load angle
is measured the user P-Q diagram can be plotted (Fig. 5).
IV. ADVANTAGES OF A REAL TIME P-Q DIAGRAM
When a user P-Q diagram is plotted, it shows the operating
area or the area that can be used. What is important is that the
operating area changes depending on the operating point, so
that the power plant staff, the production operator and the
distribution operator can see what is at their disposal, which is
important not only from the point of view of the electric
energy trade, but also because of keeping the electrical power
system stable.
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2011 8th International Conference on the European Energy Market (EEM) • 25-27 May 2011 • Zagreb, Croatia
So, besides the technical advantages (a more effective use
of the aggregate and better possibilities of keeping the
electrical power system stable) this technology provides
possibilities for a considerate additional income quickly
creating profit which is much higher than investments.
REFERENCES
Fig. 5. User P-Q Diagram screenshot
However, these are all technical advantages. The real
reason and justification of the whole research is a financial
profit which the implementation of this technology makes
possible.
It is estimated that there is a possible increase of profit 15% in the production of active power achieved only by a more
economical use. By freeing hidden reserves in the operating
area of the P-Q diagram in reactive power trade further 1-3%
income increase is possible.
If this, very conservative estimate, is applied in one
production unit of, for example, 250 MVA, it would lead to
the following calculation:
- If everything is calculated in active power, with
cosφ=0,8, the active power of 200 MW is produced
- With the assumption that the price of 1 MWh is € 50
(which is a low price), and that the generator is in
operation 8,000 hours a year
- A total annual production can be calculated in euros,
which is 200*50*8,000 = €80,000,000
- Which, with the income increase of 1% for active and
1% for reactive power, makes €1,600,000
- And that is far above the price of investment which is
between €300,000 and €450,000 for such a production
unit
It is visible from the above calculation that the investment
pays off in only two to three months, even with a very
conservative estimate.
V. CONCLUSION
The user P-Q diagram in real time provides:
• A more economical production,
• Conditions for more advantageous trade and, thus,
higher profit,
• Better possibilities of keeping the electrical power
system stable.
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