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INTEGRATION OF ENERGY SOURCES:
a) Parallelling power generatorsb) Voltage control
Josep BalcellsUPC- Grup TiegMayo de 2014
2
Outline
Introduction Regulation of active power: Frequency control Regulation of voltage: Reactive power control Paralleling synchronous machines or converters Problems of integration:Power flow control Example in CIRCUTOR Voltage control with SVC
3
Characteristics of synchronous generators / converters
Since the shaft speed , nr , is linked to the electrical frequency , fe as
Where p is the number of pairs of poles.
The power output from the generator is related to its frequency by the following eq.:
60pnf r
e =
Operating frequency of the system
Slope of curve, W/Hz
)( ffsP nlp −=
)/( HzWfPsp ∆
∆=
4
A similar relationship can be derived for the reactive power Q and terminal voltage VT. When adding a lagging load to a synchronous generator, its terminal voltage decreases. When adding a leading load to a synchronous generator, its terminal voltage increases.
The plot of terminal voltage vs. reactive power is not necessarily linear. Both the frequency vs.active power and terminal voltage vs. reactive power characteristics are important for parallel operations of generators.
When a generator is operating alone supplying the load:1. The real and reactive powers are the amounts demanded by the load.2. The governor of the prime mover controls the operating frequency of the system.3. The field current controls the terminal voltage of the power system.
Characteristics of synchronous generators / converters
5
Operation of generators in parallel with large power systems
Often, when a synchronous generator is added to a power system, that system is so
large that one additional generator does not cause observable changes to the system.
A concept of an infinite bus is used to characterize such power systems.
An infinite bus is a power system that is so large that its voltage and frequency
do not vary regardless of how much real and reactive power is drawn from or supplied
to it.
The power-frequency and reactive power-voltage characteristics are:
6
Consider adding a generator to an
infinite bus supplying a load. The
frequency and terminal voltage of all
machines must be the same.
Therefore, their power-frequency
and reactive power-voltage
characteristics can be plotted with a
common vertical axis.
Such plots are called sometimes as
house diagrams and allow the
aclculation of the active power PG
which will be provided by the new
generator being coupled to the
infinite bus.
Operation of generators in parallel with large power systems
7
Operation of generators in parallel with large power systems
If the frequency of the generator is
increased after it is connected to the
infinite bus, the system frequency
cannot change and the power supplied
by the generator increases.
Notice that in a system where VT and field
current are constant, then|EA| (module)
stays constant . If we increase f , phase δincreases and therefore , EAsinδ (which is
proportional to the output power) increases.
If the frequency of the generator is further increased, power output from the
generator will be increased and at some point it may exceed the power consumed
by the load. This extra power will be forced to be consumed by the load.
8
Operation of generators in parallel with large power systems
After the real power of the generator is adjusted to the desired value, the
generator will be operating at a slightly leading PF acting as a capacitor.
Adjusting the field current of the machine, it is possible to make it supply reactive
power Q to the system.
Summarizing, when the generator is operating in parallel to an infinite bus:
The frequency and terminal voltage of the generator are controlled by the system
to which it is connected.
The controller set point of the generator frequency controls the real power
supplied by the generator to the system.
The generator’s field current controls the reactive power supplied by the generator
to the system.
9
Generators in parallel with other generators of the same size
When a generator is working alone, its real and reactive power are fixed and
determined by the load.
When a generator is connected to an infinite bus, its frequency and the terminal
voltage are constant and determined by a bus.
When two generators of the same size
are connected to the same load, the
sum of the real and reactive powers
supplied by the two generators must
equal the real and reactive powers
demanded by the load:
21
21
GGloadtot
GGloadtot
QQQQPPPP
+==+==
10
Generators in parallel with other generators of the same size: P sharing
Since , when starting G2, the frequency of
G2 must be slightly higher than the system’s
frequency, the power-frequency diagram
right after G2 is connected to the system
will be as shown.
The frequency of G2 is next increased,
and its power-frequency diagram shifts
upwards. Since the total power supplied
to the load is constant, G2 starts
supplying more power and G1 starts
supplying less power and the system’s
frequency increases until the load
balance is reached.
11
Generators in parallel with other generators of the same size: Q sharing
When two generators are operating together, an increase in frequency (governor set
point) on one of them:
Increases the system frequency.
Increases the real power supplied by that generator, while reducing the real power
supplied by the other one.
When two generators are operating
together, an increase in the field current
on one of them:
Increases the system terminal voltage.
Increases the reactive power supplied
by that generator, while reducing the
reactive power supplied by the other.
If the frequency-power curves of both generators are known, the powers supplied
by each generator and the resulting system frequency can be determined.
12
Generators in parallel : Example
Example : Two generators are set to supply the
same load. Generator 1 has a no-load frequency
of 61.5 Hz and a slope sp1 of 1 MW/Hz.
Generator 2 has a no-load frequency of 61.0 Hz
and a slope sp2 of 1 MW/Hz. The two generators
are supplying a real load of 2.5 MW at 0.8 PF
lagging.
a) Find the system frequency and power supplied by each generator.
b) Assuming that an additional 1 MW load is attached to the power system, find the
new system frequency and powers supplied by each generator.
c) With the additional load attached (total load 3.5 MW), find the system frequency
and the generator powers, if the no-load frequency of G2 is increased by 0.5 Hz.
13
Generators in parallel : Example
The total power supplied by the generators equals the load power:
The system frequency can be found from:
The powers supplied by each generator are:
21 PPPload +=
MwffsPMwffsP
sysnlp
sysnlp
1)6061(*1)(
5,1)605,61(*1)(
221
111
=−=−=
=−=−=
Hzss
Pfsfsf
ffsffsPPP
pp
loadnlpnlpsys
sysnlpsysnlpload
6011
5,261*15,61*1
)()(
21
2211
221121
=+
−+=
+
−+=
−+−=+=
a) The power produced by a synchronous generator with a given slope and a no-
load frequency is)( sysnlp ffsP −=
14
Generators in parallel : Example
Hzss
Pfsfsf
pp
loadnlpnlpsys 75,59
115,35,61*15,61*1
21
2211 =+
−+=
+
−+=
b) For the new load of 3.5 MW, the system frequency is
The powers supplied by each generator will be:
c) If the no-load frequency of G2 increases, the system frequency is
And the powers will be:
Hzss
Pfsfsf
pp
loadnlpnlpsys 5,59
115,361*15,61*1
21
2211 =+
−+=
+
−+=
MwffsPMwffsP
sysnlp
sysnlp
5,1)5,5961(*1)(
2)5,595,61(*1)(
222
111
=−=−=
=−=−=
MwffsPP sysnlp 75,1)75,595,61(*1)( 1121 =−=−==
15
Power Flow Control (PFC)
15
The integration of different power sources requires a power flow control. The reasons for this are:
• In a meshed power system, low impedance lines may be subject to overload, while parallel paths are underutilized. Power flow control must regulate this situation
• Energy sellers need power flow control in order to properly supply the loads of their distribution lines.
• In distributed generation grids (DGG), it may happen that there is a low voltage at heavily loaded lines or a high voltage at lightly loaded lines. These are undesirable occurrences and power flow control must generate the corrective actions to solve such problems. The corrective actions are related with power factor regulation by means of SVC (supply of reactive power to certain points)
• Transient and dynamic stability control issues require also power flow control.
16
Regulation of P and Q between a source and a load
Equivalent circuit of one phase
δϕ sincos 11 ⋅=⋅ EIXT
Voltages vector diagram (RT is negligeable)
From vector diagram it can be derived that
Power diagram
i.e.
multiplying by 3U we get the power of the three phase system
similarly
δϕ sincos 11 ⋅=⋅
TXEI
δϕ sin3cos3 11 ⋅
⋅=⋅=
TXEUUIP
δδϕ sin)cos(3sin3 11 ⋅−⋅=⋅= UEXUUIQ
T
17
Regulation of P and Q between a source and a load
δsin.XVVP LS
L = jXIVV SL −=
The regulation of δ angle allows the control of active and reactive power flow (PSR, QSR) between a source (VS) and a load (VR).
jX ISourceLoad
−= δcos
R
SRSL V
VXVVQ
LV
LP
LQ
18
Two machines power flow in case of | Vs| =| Vr|
18
If Vs and Vr are imposed by the machines to be equal, the P and Q curves as a function of δ will be as shownMaximum power will be transferred when δ=90º
19
16 kWp Generació FV
26 kWh Bateries d’acumulació 4 Carregadors VE
Xarxa elèctricaSistema de control
Sistema de monitorització
CDP
Example CIRCUTOR AUTOCONSUMO
20
CDP
BMSBattery Management
System
Control Dinámico de Potencia
21
3 x 3,5 kWSingle phaseinverters
Power DynamicControl CDP-0
6,3 kWpPV arrayDC String,
AC GenerationPower StudioScada
efm-pvcar.circutorenergy.com
Example
22
Monitorización con Power Studio SCADA
Renewable energy EV’s Charging system management
PV POWER
23
Estabilización de la tensiónen cargas alejadas de BT
SVCJosep BalcellsUPC- Grup TiegMayo de 2014
24
El problema clásico de distancia y carga variable
0MW Efecto Ferranti
800 kmLongitud de línea
400kVCarga Natural Objetivo 800 MW
1000MW Colapso del Sistema
Línea de transmisión de 400 kV(no compensada)
400kV400kV
800 MWGeneración
800 MWCarga
400kV
Potencia
400kV
25
El problema moderno de generación y carga variable en micro-redes
Utility GridWind farm
CombinedGeneration Photovoltaic
Micro-Turbine
ResidentialCustomers
IndustrialLoad
Battery Storage
CommercialCustomer
CentralPower Plant
~ _
~ ~CB
26
FACTS : Flex ible AC Transmission SystemS
Los sistemas FACTS son sistemas basados enfiltros LC y electrónica de potencia con elobjetivo de mejorar el control de flujo depotencias (P y Q) y la regulación en lineas dedistribución.Suele aplicarse a MT, pero con las microredesempieza a ser interesante en BT
Los sistemas FACTS más comunes son:• Static VAR Compensator - SVC• Thyristor Controlled Series Compensator -TCSC• Thyristor Controlled Phase Angle Regulator TCPAR• Static Synchronous Compensator - StatCom• Solid State Series Compensator - SSSC• Unified Power Flow Controller - UPFC
27
Compensadores de var: Analogía mecánica
Solución: Apoyos intermedios== Inyección de Energía Reactiva, SVC
T1068
Mecánica: Caída del cable en puntos alejados de los apoyosEléctrica: Caida de V en puntos alejados de la fuente
28
Estructura de un compensador SVC
TCR Filtro Filtro HPFiltro
29
Diagrama Vectorial de un compensador SVC
Fuente Cargas
IL
X R
VF VL
IS =IL + Iq
Iq
SVC
Ireact IS=IL
Iact R.IS
X.ISVL < VF
b) Sin compensación de reactiva VL<VF
VF
30
IreactIq
Iact=IS
VF
X.IS
VL < VF
c) Compensación de reactiva a cos ϕ =1 VL<VF
R.ISIL
Diagrama Vectorial de un compensador SVC
Fuente Cargas
IL
X R
VF VL
IS =IL + Iq
Iq
SVC
31
d) Control de tensión VL con consigna VL=VF (Requiere sobrecompensación)
Ireact
Iact
VFIq
VL = VF
R.IS
X.ISIS
IL
Diagrama Vectorial de un compensador SVC
Fuente Cargas
IL
X R
VF VL
IS =IL + Iq
Iq
SVC
32
Diagrama Vectorial de un compensador SVC
Fuente Cargas
IL
X R
VF VL
IS =IL + Iq
Iq
SVC
e) Control de tensión VL con consigna VL>VF (Requiere fuerte sobrecompensación)
Ireact
Iact
VF
Iq
VL > VF R.IS
X.ISIS
IL
33
Flujo de Potencias en una línea de distribución
jX.IS
ILq
ILd
Vsmin=VF
IqVL
IS=IL+Iq
IL
ϕ
θ
θ
Obsérvese que VL puede ser mayor que VF dependiendo de lo grande que sea Iq
34
∆I
∆V
V
I
VrefXCC
VLVF
∆V
∆I
Carga
IVX CC ∆
∆≈
Obtención de la impedancia de red
35
Necesidades de potencia inductiva QL
qLFFL IU3Q =
jX.IS
ILq
ILd
Vsmax=VF
IqL
VL
IS=IL+IqL
ILϕ
θθδ
S
LqqL
SL
2maxF
2S
2L
III
XIV2V)XI(Vsen
−−=
−+=θ Datos: UFF, VFmax, X, ILd, ILq
Para cada IqL o QL permite
calcular VL
Aplicando el teorema de los senos se deduce que
36T1068
Necesidades de potencia capacitiva QC
jX.IS
ILq
ILd
Vsmin=VF
IqC
VL
IS=IL+IqC
IL
ϕ
θ
θδ
qCFFC IU3Q =
Datos:UFF, VFmax, X, ILd, ILq
Para cada IqL o QLpermite calcular VL
S
LqqC
SL
2minF
2S
2L
III
XIV2V)XI(Vsen
−=
−+=θ
37
Diagrama de control de un compensador SVC
SVC. Tensión VL en función de Qc
380
385
390
395
400
405
-100 -50 0 50 100 150 200
Potencia reactiva inyectada (kvarC)
Tens
ión
en e
l PC
(V)
Disponemos de una hoja excel que calcula la curva
38T1068
TCR
Power Source
Controller NationalCompact Rio
Mains Reactance
Step 1 Step 2 Step 3
Load
HOSTTARGET
ETHERNET
SVC Maqueta de laboratorio 1kvarL+3kvarC
39T1068
• Controlador NI compact RIO 9074– FPGA Spartan III– uP PowerPC– 2 ports Ethernet– 1 port RS-232
• I/O– Entradas Analógicas (tensión) ±10 V
(NI 9215)– Entradas Analógicas (corriente) ±5 A
(NI 9227)• CPC 3i-4MRS
– Driver a paso por cero para TSC– Conexión a controlador RS-485
• CPC 3i-4LRS– Control de fase para TCR– Conexión a controlador RS-485
HOSTTARGET
ETHERNET
SVC Maqueta de laboratorio : Controlador
40T1068
SVC Maqueta de laboratorio 1kvarL+3kvarCCircuito de Potencia
41
Ahora… en serio!!! Maqueta de 200kvar
42
Ahora… en serio!!! Maqueta de 200kvar
43
SVC-BT CIRCUTOR
44
SVC-BT CIRCUTOR: Control
Obsérvese que en lugar de regular cos ϕregulamos tensión. En general esto supone sobrecompensar si VL deseada es > que VF
45
TSC: Conexión
46
TSC: Desconexión
47
TCR Formas de onda de la corriente
48
Medidas de campo en el TCR
CH1- Tensión en bornes del tiristor , CH2- Corriente de una de las ramas de reactancia (invertida), CH3 – Impulsos a tiristores (Ángulo de disparo aprox 90º)
CH1- Tensión en bornes del tiristor , CH2- Corriente de una de las ramas de reactancia (invertida), CH3 – Impulsos a tiristores (Ángulo de disparo aprox 95º)
49
Medidas de campo en el TCR
CH1- Tensión en bornes del tiristor , CH2- Corriente de una de las ramas de reactancia (invertida), CH3 – Impulsos a tiristores (Ángulo de disparo aprox 90º)
CH1- Tensión en bornes del tiristor , CH2- Corriente de una de las ramas de reactancia (invertida), CH3 – Impulsos a tiristores (Ángulo de disparo aprox 170º)
50
Medidas de campo en el TCR
CEBADO CON SINCRONISMO EQUIVOCADO
CH1- Tensión en bornes del tiristor , CH2- Corriente de una de las ramas de reactancia (invertida),
51
380
385
390
395
400
405
410
1
123
245
367
489
611
733
855
977
1099
1221
1343
1465
1587
1709
1831
1953
2075
Second
Volta
ge Medida
Consigna
Regulación lenta: Refresco de consignas TSC: 10s , TCR: 1s
Medidas en campo:Valores de la tensión trifásica
52
Medidas en campo:Valores de la tensión trifásica
Períodono regulado
Períodoregulado
Períodoregulado
Períodono regulado
Períodono regulado
Cambios de consigna
Tens
ión
trifá
sica
pro
med
io
Tiempo (s)
Regulación rápida: Refresco de consignas cada 3 ciclos
53
Conclusiones SVC en baja
• El SVC permite regular la tensión a final de línea en redes blandas• Generalmente si Vfinal linea >= Vorigen requiere sobrecompensación• Con regulación rápida (Refresco de consignas cada 3 ciclos) el sistema permite una regulación excelente• Podemos pensar en la regulación fase a fase para sistemas con cargas desequilibradas• La regulación fase a fase llevará asociada una acción de equilibrado y un mejor reparto de potencias activas• El esfuerzo para sacar al mercado este producto es mínimo, pues se basa en un regulador COMPUTER Plus con ligeros cambios de software y la parte de potencia está formada por una batería estática + un TCR, que es muy similar• Ingenieria :
• Terminar algoritmos del COMPUTER Plus• Terminar rediseño de CPC3i para controlar inductancias• Probar con reactancias trifásicas un sistema equilibrado y con reactancias de 4 patas uno desequilibrado• Tiempo estimado a mercado 2 meses• Detectada necesidad en la división de renovables
54
SVC en MT
55
SVC en MT: Detalle de los tiristores
56
Otros métodos de regulación: UPFC
• Permite controlar la tensión, la impedancia y el ángulo• Controla P y Q en la línea y por tanto el flujo de potencia
57
Principio de Operación del UPFC
Convertidor Paralelo:Toma Q de la red y suministra QEn promedio no suministra P salvo pérdidas
SVRV '
RV
injV
jX
I
Convertidor Serie
ConvertidorParalelo
Convertidor Serie:Toma P y Q y uministra P y Q
58
UPFC – Convertidores en MT o en BT
59
En la integración de fuentes juega un papel esencial el
control de convertidores
Debemos distinguir entre regulación con generación y carga
próximas o cargas alejadas
El conjunto requiere sistemas de supervisión y control
Comunicaciones basadas en PLC
Conclusiones