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Reactive power control for photovoltaic power plants
M. Stremțan, R. Curatu, Prof. Dr. N Vasiliu
POLITEHNICA University of Bucharest
313, Splaiul Independentei, Sector 6, 060042 Bucharest, Romania
1 KEYWORDS
Photovoltaic, solar, reactive power,
control, SCADA
2 ABSTRACT
This paper describes the practical
implementation of a custom reactive power
control strategy on a 9MW installed power
photovoltaic plant, as an integrated
component of a SCADA system, in the
context of the instability generated by
meteorological conditions and their impact
on the quality of the energy delivered
through power grid.
3 INTRODUCTION
Romania’s energy production variety has
recently evolved to include a large number
of renewable sources with significant
impact on the Romanian National Energy
System. As seen in Fig. 7, renewable
energy amounts to 43% of Romania’s
energy
production,
consisting
of
Hydropower (31.16%), Wind (10.14%),
Solar (1.58%) and Biomass (0.84%). In
terms of stability, renewable energy has a
major impact on the national grid and its
accelerated growth through the last years
demands accurate control in order to
minimize the impact on the grid’s energy
quality. Romania’s National Energy Sector
Regulation Authority (ANRE – Autoritatea
Națională de Reglementare în Domeniul
Energiei) has set into place rules and
regulation for solar and wind plants control.
ANRE requires plants over 5MW installed
capacity to have active power control
depending on the grid frequency, and active
and reactive power control and voltage
based on dispatch orders, in the connection
point. The reactive power control has to
continuously ensure a power factor of
maximum 0.9 capacitive and 0.9 inductive
(|cos(𝜙) | ∈ [0.9, 1]).
(Autoritatea
Națională de Reglementare în Domeniul
Energiei, 2013), (Autoritatea Națională de
Reglementare în Domeniul Energiei, 2013).
4 THE NEED FOR REACTIVE POWER
CONTROL
In order to comply with the previously
described regulations, it is required to
control the power factor in each inverter of
the PV plant with regards to the feedback
from the connection point to the grid.
Although the output of the inverter can
provide a power factor of 1, due to the
influence of the transport and distribution
networks, network components and
consumers, the power factor can vary, and
the PV plant will be required to compensate
for these disturbances.
Loads can be:
 Inductive: consume reactive power to
produce electromagnetic fields (such as
motors)
 Capacitive: produce reactive power
(such as high-voltage overhead
transmission lines)
An important factor that influences the
output of PV plants is weather, solar
irradiance rapid variations having a
significant impact and PV inverters must
keep energy parameters within limits, no
matter the energy output it gives.
Power factor (cos φ) is an indicator of the
quality and management of an electrical
system and is a ratio of active power (𝑃) and
apparent power (𝑆), as shown in Equation
1. Active power is the real power
transmitted to loads such as motors, heaters,
electronics, etc. The electrical active power
is transformed into mechanical power, heat
or light. Apparent power is the product of
r.m.s. voltage and r.m.s. current (Equation
2) and is used for rating most electrical
equipment.
cos 𝜑 =
𝑃[𝑊]
𝑆[𝑉𝐴]
If currents and voltages can be represented
by sinusoidal signals, a vector diagram can
be used for representation for the current
(Fig. 1) and power (Fig. 2). Where the
active component of current 𝐼𝑎 is in phase
with the voltage and the other, reactive
component (𝐼𝑟 ), lagging by 𝜋/2 (in
quadrature). Current and the two
components (active and reactive) can be
used to define active, reactive and apparent
power (Equation 6, Equation 7 and
Equation 8).
Equation 1
𝑆[𝑉𝐴] = 𝑉𝑟𝑚𝑠 [𝑉] ⋅ 𝐼𝑟𝑚𝑠 [𝐴]
Equation 2
Reactive power appears when the current 𝐼
is lagging behind or leading the voltage 𝑉
by an angle of 𝜑 and is defined as a relation
of active and apparent power (Equation 3,
Equation 1) or described by a power factor,
cos 𝜑 (Equation 4). The essential difference
between active and reactive power is the
fact that while active power is power
transported from the generator to the load,
reactive power is a measure of the energy
stored in elements that act as coils and
capacitors.
Fig. 1: Active and reactive current
𝑆 2 = 𝑃2 + 𝑄 2
Equation 3
A power factor (Equation 4) close to unity
means that the apparent power is minimal,
meaning that the electrical equipment rating
is minimal for the transmission of a given
active power to the load, while a low value
indicates the opposite. Reactive power can
also be calculated by using Equation 5, for
a 3-phased circuit.
cos 𝜑 =
𝑃
𝑆
Equation 4
𝑄 = √3 ⋅ 𝑈 ⋅ 𝐼 ⋅ sin 𝜑
Equation 5
Fig. 2: Active, reactive and apparent power
𝑆[𝑉𝐴] = 𝑉 ⋅ 𝐼
Equation 6
𝑃[𝑊] = 𝑉 ⋅ 𝐼𝑎
Equation 7
𝑄[𝑣𝑎𝑟] = 𝑉 ⋅ 𝐼𝑟
Equation 8
Low power factors have negative
consequences, both technical and
economical, to the grid, such as increased
costs (most European countries have tariffs
that charge industrial consumers more
when the power factor drops below 0.93),
active power losses, the necessity to install
thicker transmission cables (according to
Table 1, (Schneider Electric, 2015)), and
voltage drops (Micu, Pop, & Cuzumbil).
Table 1: Controlled system description
Cable cross- 1
1.25 1.67 2.5
sectional area
of the cable
multiplying
factor
1
0.8
0.6
0.4
cos 𝜑
The control strategy described in this paper
is applied to a PV plant with a nameplate
rating of 9 MVA that has 9 cabins with 3
inverters with a nameplate rating of 334
kVA and a low-voltage to medium-voltage
transformer (6kW) each. Each inverter has
5 modules with a nameplate rating of 67
kVA, each having a DC input from 11 to 13
string connector boxes. Each string
connector box is a junction of 22 strings and
each string feeds power from 242 to 286 PV
modules, each having a nominal power
𝑃𝑀𝑃𝑃 (𝑊𝑝) of 255 W. This amounts to 27
inverters and approximately 35300 PV
modules (panels).
PV modules
String connector boxes
Inverters
Transformer
Grid
Fig. 3: Block architecture
Thus, the controlled PV plant has a
maximum output of 9 MVA, at 6kV.
4.1 INVERTERS
The controlled inverters communicate on a
proprietary variation of the Modbus
protocol called “Aurora”, over RS485 field
buses. The following data is available by
communicating with the inverters:
 Part number, Serial Number, Firmware
Version
 General state of the inverter and its two
DC inputs
 DC voltage and current
 AC voltage and current (on each phase)
 Active power, frequency and insulation
resistance
 Inverter’s temperature
 Daily energy counter
 Active power and power factor setpoint
values in use
Active power and power factor
commands are sent using the same
communication channel.
5 CONTROL SYSTEM
The control system is an integral part of the
Supervisory, Control and Data Acquisition
(SCADA) system, giving it a separate
functionality layer, by connecting HMI
commands to required plant output.
Set-points are sent from the HMI, or if
necessary, from a 3rd party dispatch center
to the plant controller via Modbus. The
dispatcher can send active and reactive
power set-points and the controller will
follow the setpoint, in a closed control loop,
using feedback from the power quality
meter, situated in the plant’s substation.
The plant controller (also noted as “Master
PLC”) sends commands to the inverters by
sending commands to the PLCs that relay
the information received by Modbus to the
inverters on the Aurora protocol. The
inverters accept active power (P) and power
factor (cos 𝜑) commands, while the
controller is programmed to use active
power (P) and reactive power (Q)
commands. The controller calculates and
sends different commands to each PLC and
the PLCs send the commands by broadcast
to all inverters on the field busses connected
(3 inverters for each cabin PLC).
Start
Read feedback
External Q
command
?
No
SP = Internal (U control)
or default Q Set Point
Yes
SP = External Set Point
Compute Control
Fig. 4: Command and feedback data flow
Send Q commands to
inverters
Fig. 5 – Reactive control state chart
𝑟
+
-
𝑄
PI
Regulator
Inverters
𝑄
(PC)
Fig. 6 – Reactive control diagram
The software implementation of the
reactive power control is a PI with a few
particularities:
 It can control both active and reactive
power
 It is tuned to have a ramp of 1
Mvar/minute (and 1 MW/minute) during
normal operation;
 It generates intermediary setpoints, in
steps of 1Mvar or less (if the the error,
= 𝑄𝑠𝑒 − 𝑄𝑓𝑒𝑒𝑑𝑏𝑎𝑐𝑘 );
 The output is always limited to a
maximum step size, to mitigate any
scenarios where the PID could have a
large overcompensation command;
 The PID can be manually overridden and
it follows the commands, in order to
ensure a smooth transition when enabled
back;
 It has a “soft-start” functionality, to
decrease the shock to the system when it
starts
 It calculates a reactive power setpoint
every iteration and then it sends it to the
PLCs. Before sending each command to
the PLCs, it recalculates the value of the
cos 𝜑 command;
 The PID gains change in value
depending on the error, to compensate
for large changes in reactive power.
The controller is programmed using
National Instruments LabVIEW.
6 FIELD RESULTS
The controller has been tuned and tested to
ensure the plant follows the reactive power
setpoint. Fig. 10 shows a reactive power
test where the reactive power setpoint had
the following values: 0 kvar, 2000 kvar,
4000 kvar, 2000 kvar, 0 kvar, -2000 kvar, 4000 kvar and 0 kvar.
Fig. 11 shows the reactive power control,
having a setpoint of 0 kvar during a day
with irregular solar irradiation. This sort of
irregular irradiation usually generates large
variations of reactive power, as shown by
the behavior of another PV plant, also
controlled, but with a different precision,
shown in Fig. 12.
7 CONCLUSIONS
As shown by Fig. 10 and Fig. 11, the system
successfully controls the PV plant and
complies with basic industrial control
systems requirements, setpoint tracking and
error rejection, as well as having more
advanced control features and additional
functionalities for data aggregation. The
controller has proved itself a versatile
automation tool that can achieve
functionality of far more complicated and
expensive COTS (Commercial Off The
Shelve) devices.
8 REFERENCES
Autoritatea Națională de Reglementare în
Domeniul Energiei. (2013).
Ordinul Nr. 30. Bucharest.
Autoritatea Națională de Reglementare în
Domeniul Energiei. (2013).
Ordinul nr. 74. Bucharest.
Micu, D. D., Pop, A.-C., & Cuzumbil, L.
(n.d.). Scenarii de compensare al
factorului de putere.
Schneider Electric. (2015). Installation
guide according to IEC
international standards.
Transelectrica. (2015, 05 25). Productia,
consumul si soldul SEN. Retrieved
from Transelectrica:
http://transelectrica.ro/widget/web/t
el/sen-grafic/
9 APPENDIX
Romanian Energy 2014-2015
Nuclear
18%
Hydro
31%
Oil&Gas
11%
Wind
10%
Renewable, 43%
Coal
28%
Coal
Oil&Gas
Hydro
Nuclear
Wind
Solar
Biomass
Biomass
1%
Fig. 7: Romanian Energy Production by source (Transelectrica, 2015)
Fig. 8: Cabin architecture
Solar
1%
-2000
-4000
1:25:00 PM
1:28:15 PM
1:31:30 PM
1:34:44 PM
1:37:59 PM
1:41:14 PM
1:44:29 PM
1:47:43 PM
1:50:58 PM
1:54:13 PM
1:57:28 PM
2:00:42 PM
2:03:57 PM
2:07:12 PM
2:10:27 PM
2:13:41 PM
2:16:56 PM
2:20:11 PM
2:23:26 PM
2:26:40 PM
2:29:55 PM
2:33:10 PM
2:36:25 PM
2:39:39 PM
2:42:54 PM
2:46:09 PM
2:49:24 PM
2:52:38 PM
Fig. 9: Plant architecture overview
Reactive power control tests
8000
6000
4000
2000
0
-6000
Active_Power (kW)
Reactive_Power (Kvar)
Fig. 10: Reactive power test
7000
6000
5000
4000
3000
2000
1000
0
-1000
-2000
-3000
7/14/15 7:00
7/14/15 7:28
7/14/15 7:56
7/14/15 8:24
7/14/15 8:52
7/14/15 9:20
7/14/15 9:48
7/14/15 10:16
7/14/15 10:44
7/14/15 11:12
7/14/15 11:40
7/14/15 12:08
7/14/15 12:36
7/14/15 13:04
7/14/15 13:32
7/14/15 14:00
7/14/15 14:28
7/14/15 14:56
7/14/15 15:24
7/14/15 15:52
7/14/15 16:20
7/14/15 16:48
7/14/15 17:16
7/14/15 17:44
7/14/15 18:12
7/14/15 18:40
7/14/15 19:08
7/14/15 19:36
9000
8000
7000
6000
5000
4000
3000
2000
1000
0
-1000
7/14/2015 7:00
7/14/2015 7:28
7/14/2015 7:56
7/14/2015 8:24
7/14/2015 8:52
7/14/2015 9:20
7/14/2015 9:48
7/14/2015 10:16
7/14/2015 10:44
7/14/2015 11:12
7/14/2015 11:40
7/14/2015 12:08
7/14/2015 12:36
7/14/2015 13:04
7/14/2015 13:32
7/14/2015 14:00
7/14/2015 14:28
7/14/2015 14:56
7/14/2015 15:24
7/14/2015 15:52
7/14/2015 16:20
7/14/2015 16:48
7/14/2015 17:16
7/14/2015 17:44
7/14/2015 18:12
7/14/2015 18:40
7/14/2015 19:08
7/14/2015 19:36
Reactive power control
Fig. 11: 0 kvar setpoint during a day with irregular irradiation
Reactive Power control on another PV plant
Active_Power
Reactive_Power
Fig. 12: 0 kvar setpoint during a day with irregular irradiation (another PV plant)
Fig. 9: Control software code snippet