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optimal scheduling in a microgrid
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Optimal generation scheduling
in a microgrid
Lucian Toma, Ion Triştiu,
Constantin Bulac, Andreea ŞtefanaDepartment of Electrical Power Systems
University POLITEHNICA of Bucharest
2016 ITEC ASIA, Busan, June 1-4
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Transmission network
Distribution network
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AMRAMR AMR
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The future of power systems
AMI
AMI
AMI AMI
AMI
AMI AMI
Substation
Dispatching and Strategy
PV
OPTIMIZATION
& CONTROL
Gas Engine
RTU RTU
RTU
Communication
Main
electrical
network
Microgrid
Wind
The future of power systems
Battery
Microgrid
Substation
Militari
Distrib. St.
Cotroceni
Distrib. St.
Gas Engine P.P
PV power plant
Microgrid – University “Politehnica” of Bucharest
Cable 1
Cable 2
Pinst = 30 kW
CF = 20%
2 x 800 kWel
ηel = 38%
PolyGrid
Substation
Militari
Distrib. St.
Cotroceni
Distrib. St.
Gas Engine P.P
PV power plant
Microgrid – University “Politehnica” of Bucharest
Cable 1
Cable 2
0
5
10
15
20
25
02
/02
/20
07
@1
2:0
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The optimization objective:
The mathematical model
subject to load-generation balance:
60x24
1
( )GE
t
P t
MIN
( ) ( ) ( ) ( ) ( ) ( )load pv w GE bat surplusP t P t P t P t P t P t
Ppv – power generation from PV power plantPw – power generation from wind power plantPGE – power generation from gas enginePbat – power from battery (positive = generation; negative = load)Psurplus – power unbalance
and capability limits
maxgenP P
Characteristics of the wind and solar power plants
The mathematical model
- have the highest priority and are given by generation profiles
Characteristics of the gas engine
- installed power from hundreds of kW to few MW- very fast; can change the generation within few seconds- it has the lowest priority, thus they produce power when
( ) ( ) ( ) ( )load pv w batP t P t P t P t
The mathematical model
Characteristics of the battery
- is characterized by the total installed energy Ebat,inst, in MWh, and the maximum instantaneous power Pbat,max, in MW.
- battery charges when there is a surplus of energy from the renewable energyunits only
( ) ( ) ( )pv w loadP t P t P t
- in order to increase the lifetime of the battery, a minimum and a maximum state of charge, SOCmin and SOCmax, are considered
The mathematical model
Algorithm 1 assumes that the battery’s operating mode ischanged when it completes a full charging / discharging;no charging is allowed when in discharging mode, and nodischarging is allowed when in charging mode;
Algorithm 2 assumes that the battery is charging any time thereis a surplus from renewables, and discharging when theload is greater than the available generation fromrenewables.
Two algorithms are used:
Main data gas engine installed power, PGE,inst = 1.4 MW; battery’s size is decided battery minimum state o charge, SOCmin = 25%; battery maximum state of charge, SOCmax = 75%; load, wind generation and solar generation profiles are given
Microgrid – case studies
WindPhotovoltaicGas Engine
Uncontrolled: Load, Wind, Solar
Controlled: Gas engine, Battery
Microgrid – case studies
• installed power Pbat,max = 0.6 MW;
• installed energy, Ebat,inst = 1 MWh;
• rule: full charging/discharging is required until the battery changes its operating mode: Algorithm 1 is applied
Case 1
Microgrid – case studies
0 500 1000 1500-0.5
0
0.5
1
1.5
2
2.5
Time [minutes]
Genera
tion-L
oad p
rofile
[M
W]
Ppv
Pw
Pgas
Pbat
Pload
Surplus
0 500 1000 15000.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Time [minutes]
Batt
ery
- s
tate
of
charg
e [
-]
0 500 1000 15000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Time [minutes]
Charg
ing m
ode
Case 1 Battery state of charge
Battery operating mode
PGE = 5.65 MWh
Psurplus = 0.523 MWh
Microgrid – case studies
• installed power Pbat,max = 0.6 MW;
• installed energy, Ebat,inst = 1 MWh;
• rule: full charging/discharging is required until the battery changes itsoperating mode: Algorithm 1 is applied
Case 2
Microgrid – case studies
Case 2
0 500 1000 1500-0.5
0
0.5
1
1.5
2
2.5
Time [minutes]
Genera
tion-L
oad p
rofile
[M
W]
Ppv
Pw
Pgas
Pbat
Pload
Surplus0 500 1000 1500
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Time [minutes]
Batt
ery
- s
tate
of
charg
e [
-]
0 500 1000 15000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Time [minutes]
Charg
ing m
ode
Battery state of charge
Battery operating mode
PGE = 5.37 MWh
Psurplus = 0.437 MWh
Microgrid – case studies
• installed power Pbat,max = 0.6 MW;
• installed energy, Ebat,inst = 1 MWh;
• rule: the battery charges any time there is a surplus of generation fromrenewables: Algorithm 2 is applied
Case 3
Case 3
Microgrid – case studies
0 500 1000 1500-0.5
0
0.5
1
1.5
2
2.5
Time [minutes]
Genera
tion-L
oad p
rofile
[M
W]
Ppv
Pw
Pgas
Pbat
Pload
Surplus
0 500 1000 15000.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Time [minutes]
Batt
ery
- s
tate
of
charg
e [
-]
0 500 1000 15000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Time [minutes]
Charg
ing m
ode
Battery state of charge
Battery operating mode
PGE = 4.98 MWh
Psurplus = 0 MWh
the first algorithm involves a smaller number ofcharging/discharging cycles
Conclusions
the microgrid allows a local generation-load balancingthus reducing the negative effects of the intermittencyshown by RES
the second algorithm achieves minimum generation fromthe gas engine unit and thus less fuel
Thank you