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Advanced Analytics to Capture the Full Value
of Demand Response and Energy Flexibility in
Industrial Sites
ESGI 2016
May 2016, Avignon
Sébastien Mouthuy, N-SIDE
Why and how to leverage flexibility
from energy-intensive processes ?
2
Increasing complexity of the energy
structure of the industries
Increasing need for Demand Response
services
Increasing amount of data to be
leveraged
Increasing electricity price volatility
0.00
20.00
40.00
60.00
80.00
100.00
120.00
EUR/MW
h
S S M T W T F
Advanced Analytics
to transform this
complexity into
opportunities
1. Demand Response: Opportunities and challenges for
industrial sites
A. The markets: Where to value my flexibility ?
B. The processes: Where to find and how to manage
my flexibility ?
2. Advanced Analytics to make the most out of energy
flexibility
1. Demand Response: Opportunities and challenges for
industrial sites
A. The markets: Where to value my flexibility ?
B. The processes: Where to find and how to manage
my flexibility ?
2. Advanced Analytics to make the most out of energy
flexibility
How to design an optimal energy flexibility strategy ?
5
Process Aspects:
Where to find and
how to manage my
flexibility ?
Markets
Where to value my
flexibility ?
Processes
Where to find and how
to manage my flexibility
?
6
Strong Incentive to
optimize planning
with respect to
variable electricity
price
The Concept:
Flexible process planning based on electricity prices
Markets
Where to value my
flexibility ?
Processes
Where to find and how
to manage my flexibility
?
• TOU (time of use)
• Spot-based contracts
• Balancing price impacted
• …
• Oversized processes allowing
to shift load
• Multi-product processes with
difference of electricity
consumptions
Variable electricity price
Electricity-Intensive
process with flexibility


7
Years / Months in advance 1 to 7 days in advance Real-time
Day-ahead market
Spot-price based
contracts
Intraday and balancing
markets
Deviation penalties
Price
based
Forward contracts (OTC)
Fixed contracts
Reserve
Reserve participation
(e.g. France, Belgium)
Contract with an
aggregator
Activation from TSO
Activation from
aggregator
Reserve participation
(e.g. Germany, Austria)
The market challenge:
Where to value my flexibility ?
Direct Market Access
Indirect Market Access
Strategic
Optimization
Reserve
Optimization
Scheduling
Optimization
Real-time
Optimization
… on the different key timeframes
8
• Optimal
electricity
contract
• Optimal
investment in
flexibility assets
• Optimal choice of
flexibility products
and volumes
• Optimal power and
energy price
• Optimal
scheduling of
electricity load
• Optimal
planning of CHP
unit
• Optimal
imbalance
minimization
• Optimal
activation
management
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
9
Integrated Cement Plant
• 2.5 Million Tons of cement
• Electricity Consumption: 300 GWh/Year
Kiln Feed Preparation
Clinker Production
Clinker Grinding
Continuous Process – ON/OFF
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
10
Clinker Production:
• Main Process in the Cement
production
• Continuous process
• No possibility to stop
• Load : 10 MW
Clinker Production
 Mostly not flexible
Continuous Process – ON/OFF
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
11
Continuous Process – ON/OFF
Raw Mill:
• Overcapacity: 40%
• Max Load: 10 MW
• ON-OFF principle
• No possibility of
modulation
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
12
Continuous Process – ON/OFF
Flexibility Lever 1: Optimization of the raw
mill planning based on the electricity price
by leveraging the overcapacity and the
up/downstream storage
Raw Mill:
• Overcapacity: 40%
• Max Load: 10 MW
• ON-OFF principle
• No possibility of
modulation
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
13
Continuous Process – ON/OFF
Cement Mill:
• Overcapacity: 40 %
• 3 Cement Mills: 100T/h
• Max Load: 15 MW
• ON/OFF principle
• No possibility of
modulation
Limestone Crushers Storage Raw Mill Storage
Preheater Tower
Cement KilnClinker CoolerStorageGypsum
Cement Mill Storage Shipping
The Concept:
Cement Industry Example
14
Continuous Process – ON/OFF
Flexibility Lever 2: Optimization of the cement
mill planning based on the electricity price by
leveraging the overcapacity and the
up/downstream storage
Cement Mill:
• Overcapacity: 40 %
• 3 Cement Mills: 100T/h
• Max Load: 15 MW
• ON/OFF principle
• No possibility of
modulation
The Concept:
Paper Industry Example
15
Paper machine
• Power: 15MW
• Light overcapacity: 10%
• Modulation possibility
• Multiple papers
• Consumption/ Paper type
• Up/downstream stock
• No ON/OFF
• Paperweight: Light
• Load: 13 MW
• 1/3 Production
• Paperweight: Heavy
• Load: 17 MW
• 1/3 Production
• Paperweight: Medium
• Load: 15 MW
• 1/3 Production
Continuous Process – Modulation
The Concept:
Paper Industry Example
16
• Paperweight: Light
• Load: 13 MW
• 1/3 Production
• Paperweight: Heavy
• Load: 17 MW
• 1/3 Production
• Paperweight: Medium
• Load: 15 MW
• 1/3 Production
Continuous Process – Modulation
Flexibility Lever 1: Modulate the load
depending on electricity price
Paper machine
• Power: 15MW
• Light overcapacity: 10%
• Modulation possibility
• Multiple papers
• Consumption/ Paper type
• Up/downstream stock
• No ON/OFF
The Concept:
Paper Industry Example
17
• Paperweight: Light
• Load: 13 MW
• 1/3 Production
• Paperweight: Heavy
• Load: 17 MW
• 1/3 Production
• Paperweight: Medium
• Load: 15 MW
• 1/3 Production
Continuous Process – Modulation
Flexibility Lever 2: Schedule the
different products depending on
electricity prices
Paper machine
• Power: 15MW
• Light overcapacity: 10%
• Modulation possibility
• Multiple papers
• Consumption/ Paper type
• Up/downstream stock
• No ON/OFF
The Concept:
Different types of flexible planning…
18
Batch – ON/OFF Process
Monday Tuesday Wednesday Thursday Friday Saterday Sunday
0
10
20
30
40
50
Continuous – ON/OFF Process
0
2
4
6
8
Monday Tuesday Wednesday Thursday Friday Saterday Sunday
Continuous – Modulation Process
0
5
10
15
20
Monday Tuesday Wednesday Thursday Friday Saterday Sunday
Monday Tuesday Wednesday Thursday Friday Saterday Sunday
Multi-Product Process
Monday Tuesday Wednesday Thursday Friday Saterday Sunday
The Concept:
… with opportunities in various energy intensive industries
19
Continuous – ON/OFF Process
• Mechanical pulp production
• Compressors in Air separation
• Extrusion in chemical industry
• Electrolysis
Batch – ON/OFF Process
• EAF in steel production
• Pulp mixer in non-integrated paper mill
Continuous – Modulation Process
• Paper machine
• Compressors in Air separation
• Extrusion in chemical industry
Multi-Product Process
• Paper machine Schedule of
different products
• EAF schedule of different products
The process challenge:
Where to find and how to manage my flexibilities ?
20
Produce electricity at optimal moment
Electricity
Generation
Electricity
Consumption
Consume electricity at optimal moment
Load Shifting
Load Scheduling
Load Shedding
By-product
Optimization
2
1
3
6
CHP Modulation5
Fuel Switching4
1. Demand Response: Opportunities and challenges for
industrial sites
A. The market aspect: Where to value my flexibility ?
B. The process aspect: Where to find and how to
manage my flexibility ?
2. Advanced Analytics to make the most out of energy
flexibility
A mathematical model is key
for considering all the factors…
22
Industrial processes
• All input and output flows
• Ramping up and down
• Min-max capacities
• ON-Off procedure
• Operating rates
Product Demand
• Quantities and delivery dates
• Must / May serve
Grid and market
interaction
• Different electricity
contracts (OTC,
spot based)
• Capacity
constraints
Storage facilities
• Min-max capacities
• Storage target
Economics
• RM, NG and electricity costs
• Revenue from sales
• Opportunity costs
• Fix and variable operating
costs
• Incentive from DR programs
CHP Unit
(boilers, turbines, …)
• Min-max capacities
• Operating rates
• Ramping up and down
• ON-OFF procedure
• Different steam pressure
levels
• Fuel mix constraints
• Maintenance planning
…in an integrated way…
23
Electricity Generation
Electricity Consumption
Modelling industrial processes
24
Electricity
consumption
Blend
x
%
y
%
z %
Bounds
Yield
Steady
ShutdownStartup
Profile
Ramping
Mixed Integer Programming (MIP)
for industrial processes
Modeling an industrial process
• Mostly continuous variables to model quantities (e.g. flows between processes)
• Some binary variables, to capture the discrete nature of some decisions (e.g. on-
off status)
• Usually linear(isable) constraints (e.g. piecewise linear representation of the yield
of the machines)
25
Finding the optimal set of decisions
• Difficult problems: non-convex, no polynomial-
time algorithm
• In practice, with a good solver, global optimum is
found within a few minutes
• Widely used branch-and-bound algorithm:
recursive tree search of binary options
Linear
relaxations
Some technical challenges arising from MIP
• Solving time may rise exponentially with the number of
binary variables and the addition of coupling constraints
• Ill-conditioning and numerical difficulties are likely to arise
with data of poor quality
• Some processes are better represented by non-linear
constraints and integer variables (i.e. batch processes).
26
Modeling batch processes
27
pack
pack
pack
pack
pac
k
pack
urgent shipping
urgent shipping
to stock
Order 2241
Order 2242
Order 2243
Order 2244
Order 2245
Order 2246
to stock
to stock
to stock
Only one
packing
machine
Precedence Complete
urgent
orders first
MWh
Constraint Programming (CP)
for batch production
Modeling a production unit of a batch process
• Only discrete variables, to model machines performing activities as well as start
and end time of activities
• Need for disjunctive constraints: at most one activity scheduled on a given
machine at any time, stock evolution, setup times,…
• Complex precedence and transition constraints
28
Finding the optimal set of decisions
• Difficult problems: highly non-linear, no known
polynomial-time algorithm
• In practice, with a good solver, very good solution
is found within a few minutes
• Widely used propagation algorithms: do not
explore decisions leading to a dead-end
Propagation
Some Technical challenges arising from CP
• Algorithmic efficiency strongly depends on how production has been
modelled using CP constraints
– Several models are possible
– Good model may be millions of time faster than bad ones
– Requires expertise
• Constraint programming enables to exploit knowledge humans have of the
production process
– Advantage: leads to more efficient algorithms
– Disadvantage: no automatic configuration with no brain efforts
– Advange by far worth the effort
29
The resulting integrated optimization problem
is solved using decomposition techniques
30
Production Scheduling
Electricity Management
• Start of batch production
• Machine usage
• HR planning Compute electricity
demand
Identify mismatch
production <-> electricity cost • Cogen management
• When to turn on/off
• Needs of by-products
• Total energy cost
Optimality
The model should take into account
multiple markets and time frames
31
Scheduling
Optimization
Real-time
Optimization
Choose which processes to
stop in response to an
activation
Day-
ahead
Market
Reserve
Market
Bid interruptible
consumptions on the
reserve market
Nominations on DAM Respect balance
Real-time activation is uncertain
when committing a schedule
32
Scheduling
Optimization
Real-time
Optimization
Day-
ahead
Market
Reserve
Market
Multi-Stage Stochastic Programming (MSSP)
for multi-market optimization
Multi-market modelling
• Multiple real-time scenarios should be considered
• Non-anticipativity constraints: scheduling decisions should be taken
commonly for all real-time scenarios
33
Finding the optimal set of decisions
• Difficult problems: non-convex, no polynomial-
time algorithm
• In practice, with a good solver, global optimum is
found within a few minutes
• Widely used decomposition algorithm: solve a
reduced problem and add only the violated
constraints
Reduced
problems
Technical challenges arising from MSSP
• Problem size rises exponentially with the number of
scenarios.
• Generating the minimal number of relevant scenarios is
crucial
34
Helping industries get the full value of their energy
flexibility thanks to advanced analytics
35
Produce electricity at
optimal moment
Optimal Planning of
energy production
Optimal Scheduling of
energy consumption
Consume energy at
optimal moment
IntegratedOptimization
Thank you !

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Advanced Analytics to Capture the Full Value of Demand Response and Energy Flexibility in Industrial Sites

  • 1. Advanced Analytics to Capture the Full Value of Demand Response and Energy Flexibility in Industrial Sites ESGI 2016 May 2016, Avignon Sébastien Mouthuy, N-SIDE
  • 2. Why and how to leverage flexibility from energy-intensive processes ? 2 Increasing complexity of the energy structure of the industries Increasing need for Demand Response services Increasing amount of data to be leveraged Increasing electricity price volatility 0.00 20.00 40.00 60.00 80.00 100.00 120.00 EUR/MW h S S M T W T F Advanced Analytics to transform this complexity into opportunities
  • 3. 1. Demand Response: Opportunities and challenges for industrial sites A. The markets: Where to value my flexibility ? B. The processes: Where to find and how to manage my flexibility ? 2. Advanced Analytics to make the most out of energy flexibility
  • 4. 1. Demand Response: Opportunities and challenges for industrial sites A. The markets: Where to value my flexibility ? B. The processes: Where to find and how to manage my flexibility ? 2. Advanced Analytics to make the most out of energy flexibility
  • 5. How to design an optimal energy flexibility strategy ? 5 Process Aspects: Where to find and how to manage my flexibility ? Markets Where to value my flexibility ? Processes Where to find and how to manage my flexibility ?
  • 6. 6 Strong Incentive to optimize planning with respect to variable electricity price The Concept: Flexible process planning based on electricity prices Markets Where to value my flexibility ? Processes Where to find and how to manage my flexibility ? • TOU (time of use) • Spot-based contracts • Balancing price impacted • … • Oversized processes allowing to shift load • Multi-product processes with difference of electricity consumptions Variable electricity price Electricity-Intensive process with flexibility  
  • 7. 7 Years / Months in advance 1 to 7 days in advance Real-time Day-ahead market Spot-price based contracts Intraday and balancing markets Deviation penalties Price based Forward contracts (OTC) Fixed contracts Reserve Reserve participation (e.g. France, Belgium) Contract with an aggregator Activation from TSO Activation from aggregator Reserve participation (e.g. Germany, Austria) The market challenge: Where to value my flexibility ? Direct Market Access Indirect Market Access
  • 8. Strategic Optimization Reserve Optimization Scheduling Optimization Real-time Optimization … on the different key timeframes 8 • Optimal electricity contract • Optimal investment in flexibility assets • Optimal choice of flexibility products and volumes • Optimal power and energy price • Optimal scheduling of electricity load • Optimal planning of CHP unit • Optimal imbalance minimization • Optimal activation management
  • 9. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 9 Integrated Cement Plant • 2.5 Million Tons of cement • Electricity Consumption: 300 GWh/Year Kiln Feed Preparation Clinker Production Clinker Grinding Continuous Process – ON/OFF
  • 10. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 10 Clinker Production: • Main Process in the Cement production • Continuous process • No possibility to stop • Load : 10 MW Clinker Production  Mostly not flexible Continuous Process – ON/OFF
  • 11. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 11 Continuous Process – ON/OFF Raw Mill: • Overcapacity: 40% • Max Load: 10 MW • ON-OFF principle • No possibility of modulation
  • 12. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 12 Continuous Process – ON/OFF Flexibility Lever 1: Optimization of the raw mill planning based on the electricity price by leveraging the overcapacity and the up/downstream storage Raw Mill: • Overcapacity: 40% • Max Load: 10 MW • ON-OFF principle • No possibility of modulation
  • 13. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 13 Continuous Process – ON/OFF Cement Mill: • Overcapacity: 40 % • 3 Cement Mills: 100T/h • Max Load: 15 MW • ON/OFF principle • No possibility of modulation
  • 14. Limestone Crushers Storage Raw Mill Storage Preheater Tower Cement KilnClinker CoolerStorageGypsum Cement Mill Storage Shipping The Concept: Cement Industry Example 14 Continuous Process – ON/OFF Flexibility Lever 2: Optimization of the cement mill planning based on the electricity price by leveraging the overcapacity and the up/downstream storage Cement Mill: • Overcapacity: 40 % • 3 Cement Mills: 100T/h • Max Load: 15 MW • ON/OFF principle • No possibility of modulation
  • 15. The Concept: Paper Industry Example 15 Paper machine • Power: 15MW • Light overcapacity: 10% • Modulation possibility • Multiple papers • Consumption/ Paper type • Up/downstream stock • No ON/OFF • Paperweight: Light • Load: 13 MW • 1/3 Production • Paperweight: Heavy • Load: 17 MW • 1/3 Production • Paperweight: Medium • Load: 15 MW • 1/3 Production Continuous Process – Modulation
  • 16. The Concept: Paper Industry Example 16 • Paperweight: Light • Load: 13 MW • 1/3 Production • Paperweight: Heavy • Load: 17 MW • 1/3 Production • Paperweight: Medium • Load: 15 MW • 1/3 Production Continuous Process – Modulation Flexibility Lever 1: Modulate the load depending on electricity price Paper machine • Power: 15MW • Light overcapacity: 10% • Modulation possibility • Multiple papers • Consumption/ Paper type • Up/downstream stock • No ON/OFF
  • 17. The Concept: Paper Industry Example 17 • Paperweight: Light • Load: 13 MW • 1/3 Production • Paperweight: Heavy • Load: 17 MW • 1/3 Production • Paperweight: Medium • Load: 15 MW • 1/3 Production Continuous Process – Modulation Flexibility Lever 2: Schedule the different products depending on electricity prices Paper machine • Power: 15MW • Light overcapacity: 10% • Modulation possibility • Multiple papers • Consumption/ Paper type • Up/downstream stock • No ON/OFF
  • 18. The Concept: Different types of flexible planning… 18 Batch – ON/OFF Process Monday Tuesday Wednesday Thursday Friday Saterday Sunday 0 10 20 30 40 50 Continuous – ON/OFF Process 0 2 4 6 8 Monday Tuesday Wednesday Thursday Friday Saterday Sunday Continuous – Modulation Process 0 5 10 15 20 Monday Tuesday Wednesday Thursday Friday Saterday Sunday Monday Tuesday Wednesday Thursday Friday Saterday Sunday Multi-Product Process Monday Tuesday Wednesday Thursday Friday Saterday Sunday
  • 19. The Concept: … with opportunities in various energy intensive industries 19 Continuous – ON/OFF Process • Mechanical pulp production • Compressors in Air separation • Extrusion in chemical industry • Electrolysis Batch – ON/OFF Process • EAF in steel production • Pulp mixer in non-integrated paper mill Continuous – Modulation Process • Paper machine • Compressors in Air separation • Extrusion in chemical industry Multi-Product Process • Paper machine Schedule of different products • EAF schedule of different products
  • 20. The process challenge: Where to find and how to manage my flexibilities ? 20 Produce electricity at optimal moment Electricity Generation Electricity Consumption Consume electricity at optimal moment Load Shifting Load Scheduling Load Shedding By-product Optimization 2 1 3 6 CHP Modulation5 Fuel Switching4
  • 21. 1. Demand Response: Opportunities and challenges for industrial sites A. The market aspect: Where to value my flexibility ? B. The process aspect: Where to find and how to manage my flexibility ? 2. Advanced Analytics to make the most out of energy flexibility
  • 22. A mathematical model is key for considering all the factors… 22 Industrial processes • All input and output flows • Ramping up and down • Min-max capacities • ON-Off procedure • Operating rates Product Demand • Quantities and delivery dates • Must / May serve Grid and market interaction • Different electricity contracts (OTC, spot based) • Capacity constraints Storage facilities • Min-max capacities • Storage target Economics • RM, NG and electricity costs • Revenue from sales • Opportunity costs • Fix and variable operating costs • Incentive from DR programs CHP Unit (boilers, turbines, …) • Min-max capacities • Operating rates • Ramping up and down • ON-OFF procedure • Different steam pressure levels • Fuel mix constraints • Maintenance planning
  • 23. …in an integrated way… 23 Electricity Generation Electricity Consumption
  • 24. Modelling industrial processes 24 Electricity consumption Blend x % y % z % Bounds Yield Steady ShutdownStartup Profile Ramping
  • 25. Mixed Integer Programming (MIP) for industrial processes Modeling an industrial process • Mostly continuous variables to model quantities (e.g. flows between processes) • Some binary variables, to capture the discrete nature of some decisions (e.g. on- off status) • Usually linear(isable) constraints (e.g. piecewise linear representation of the yield of the machines) 25 Finding the optimal set of decisions • Difficult problems: non-convex, no polynomial- time algorithm • In practice, with a good solver, global optimum is found within a few minutes • Widely used branch-and-bound algorithm: recursive tree search of binary options Linear relaxations
  • 26. Some technical challenges arising from MIP • Solving time may rise exponentially with the number of binary variables and the addition of coupling constraints • Ill-conditioning and numerical difficulties are likely to arise with data of poor quality • Some processes are better represented by non-linear constraints and integer variables (i.e. batch processes). 26
  • 27. Modeling batch processes 27 pack pack pack pack pac k pack urgent shipping urgent shipping to stock Order 2241 Order 2242 Order 2243 Order 2244 Order 2245 Order 2246 to stock to stock to stock Only one packing machine Precedence Complete urgent orders first MWh
  • 28. Constraint Programming (CP) for batch production Modeling a production unit of a batch process • Only discrete variables, to model machines performing activities as well as start and end time of activities • Need for disjunctive constraints: at most one activity scheduled on a given machine at any time, stock evolution, setup times,… • Complex precedence and transition constraints 28 Finding the optimal set of decisions • Difficult problems: highly non-linear, no known polynomial-time algorithm • In practice, with a good solver, very good solution is found within a few minutes • Widely used propagation algorithms: do not explore decisions leading to a dead-end Propagation
  • 29. Some Technical challenges arising from CP • Algorithmic efficiency strongly depends on how production has been modelled using CP constraints – Several models are possible – Good model may be millions of time faster than bad ones – Requires expertise • Constraint programming enables to exploit knowledge humans have of the production process – Advantage: leads to more efficient algorithms – Disadvantage: no automatic configuration with no brain efforts – Advange by far worth the effort 29
  • 30. The resulting integrated optimization problem is solved using decomposition techniques 30 Production Scheduling Electricity Management • Start of batch production • Machine usage • HR planning Compute electricity demand Identify mismatch production <-> electricity cost • Cogen management • When to turn on/off • Needs of by-products • Total energy cost Optimality
  • 31. The model should take into account multiple markets and time frames 31 Scheduling Optimization Real-time Optimization Choose which processes to stop in response to an activation Day- ahead Market Reserve Market Bid interruptible consumptions on the reserve market Nominations on DAM Respect balance
  • 32. Real-time activation is uncertain when committing a schedule 32 Scheduling Optimization Real-time Optimization Day- ahead Market Reserve Market
  • 33. Multi-Stage Stochastic Programming (MSSP) for multi-market optimization Multi-market modelling • Multiple real-time scenarios should be considered • Non-anticipativity constraints: scheduling decisions should be taken commonly for all real-time scenarios 33 Finding the optimal set of decisions • Difficult problems: non-convex, no polynomial- time algorithm • In practice, with a good solver, global optimum is found within a few minutes • Widely used decomposition algorithm: solve a reduced problem and add only the violated constraints Reduced problems
  • 34. Technical challenges arising from MSSP • Problem size rises exponentially with the number of scenarios. • Generating the minimal number of relevant scenarios is crucial 34
  • 35. Helping industries get the full value of their energy flexibility thanks to advanced analytics 35 Produce electricity at optimal moment Optimal Planning of energy production Optimal Scheduling of energy consumption Consume energy at optimal moment IntegratedOptimization