Optimisation and operations research decide how energy systems are built and run at least cost within physical and policy limits: which plants to build, how to dispatch them, how much storage and transmission to add, and in what order to restore service after a failure.
What optimisation and operations research does here.
Optimisation and operations research develop mathematical methods for allocating resources and making decisions under constraints. They support planning and logistics in complex, interconnected systems. In energy, critical infrastructure and climate and hazards, optimisation supports prepositioning of supplies, network investment and recovery sequencing. Robust formulations help choose options that perform acceptably across many scenarios. The canonical description is on the STEM Commons.
Capacity expansion planning
A model chooses generation, storage and transmission investments over decades to meet demand across many weather years, with reliability and emissions constraints stated.
Unit commitment and dispatch
Hourly scheduling of plants and storage against forecast demand and renewable output shows operating costs, reserve margins and curtailment under each scenario.
Restoration sequencing
Crews, spare parts and switching operations are scheduled so that critical loads are restored first, subject to road access and network constraints.
03Simulator
A cascade through interdependent networks.
A hazard footprint takes out co-located assets in every layer; fragmentation, dependency between layers and overload of the survivors then spread the failure. The 3D view separates the layers by depth. Teaching model with stated illustrative values, not a prediction.
Controls
Assets per layer
18
Hazard footprint
8% of area
Assets that depend on another layer
60%
Spare capacity (tolerance)
30%
Readouts
Assets hit by the hazard
19%
Assets still working
31%
Amplification of the initial damage
3.7 times
Steps to settle
2
Numbers, methods and sources
Step
Power working (%)
Gas working (%)
Telecoms working (%)
0
83
72
89
1
50
39
39
2
50
33
11
Methods
Interdependent networks Buldyrev and others (2010), Catastrophic cascade of failures in interdependent networks, Nature 464
Overload cascades Motter and Lai (2002), Physical Review E 66
Betweenness load Brandes (2001), Journal of Mathematical Sociology 25
Multilayer networks Kivela and others (2014), Journal of Complex Networks 2
Infrastructure interdependencies Rinaldi, Peerenboom and Kelly (2001), IEEE Control Systems 21(6)
Uncertainty fan (parameter Monte Carlo) Spiegelhalter, Pearson and Short (2011), Visualising uncertainty about the future, Science 333
One-at-a-time sensitivity (tornado) Saltelli and others (2008), Global Sensitivity Analysis: The Primer, Wiley
Data
The model runs on the teaching values set by the controls. To calibrate it for a place, read it against these admitted layers and series, which this page's map can draw:
Natural events (NASA EONET) NASA EONET · register nasa.eonet.events
A cascade through interdependent networks. Illustrative teaching model: it runs on the values set by the controls, not on measured data. Methods: Interdependent networks (Buldyrev and others (2010), Catastrophic cascade of failures in interdependent networks, Nature 464); Overload cascades (Motter and Lai (2002), Physical Review E 66); Betweenness load (Brandes (2001), Journal of Mathematical Sociology 25).
Datasets and records used by optimisation and operations research on this platform, with the role each plays and the label its values carry. Sources are listed in the source register.
Data
Role
Label
Technology cost and performance assumptions
Investment and operating costs
ESTIMATED
Hourly demand and weather-driven generation series
Operating conditions
MODELLED
Network topology and transfer limits
Transmission constraints
Published statistics
Policy targets and constraints
Emissions and reliability limits
DECLARED
05Sector signature
The sector signature of optimisation for energy systems.
The sectors optimisation for energy systems touches and how strongly they depend on each other: what a study has to observe and model together.
Select corners · hover lines6 / 15 relations
Signature
Energy and its partners
Energy gives power for transport and telecoms to infrastructure (0.8), pumping and treatment to water (0.5) and fertiliser, machinery and cold chains to food (0.5).
W · E · I · F · H · B
Sectors
4 of 6
Relations
6 of 15
Coupling
0.46 share of total
Strongest relations in play
Energy → Infrastructure · power for transport and telecoms0.8
Water → Energy · cooling water and hydropower0.6
Water → Food · irrigation0.8
Infrastructure → Water · pipes, dams and treatment works0.6
Teaching values for a typical city-region, not measurements for any place. Coupling is the summed strength of the relations in play, as a share of all fifteen.
06Validation
How results are checked.
Solutions are checked for feasibility, tested through simulation and compared with historical decisions. Sensitivity analysis examines how results change with parameters.
Check
How it is done
Operational feasibility
Every plan is re-run in an hourly operational simulation to confirm it meets demand and reserve requirements
Sensitivity and robustness
Results are tested across cost, weather and demand assumptions; robust options are reported beside the least-cost plan
Open model comparison
Results are compared with open energy system models used in published intercomparison studies
Optimal solutions can be fragile when assumptions are wrong. Objectives may omit values that are hard to quantify.
07Methods and evidence
How optimisation for energy systems is modelled, measured and tested.
The model, its assumptions, its data and its uncertainty, in the form a scientist or engineer would check. Structures follow published methods. The values drawn are illustrative, not findings.
System model
The couplings between the systems in optimisation for energy systems: signs of influence, a reinforcing and a balancing loop, and cross-links where stress jumps.
Causal loop diagram from the page's systems; signs show the direction of influence. Illustrative structure for a system dynamics or network model, not estimated couplings.
FAIR guiding principles · GO FAIR and FORCE11W3C PROV · World Wide Web ConsortiumGuidance on consistent treatment of uncertainties · IPCCCEOS Analysis Ready Data · Committee on Earth Observation Satellites
What are the limits of optimisation and operations research in this field?
Optimal solutions can be fragile when assumptions are wrong. Objectives may omit values that are hard to quantify.
How are results checked?
Solutions are checked for feasibility, tested through simulation and compared with historical decisions. Sensitivity analysis examines how results change with parameters.
Are the values on this page real?
The data names, roles and checks are real descriptions of practice. The canvas shows a design of the method's use, not a run; no result is reported here.
Reports is the Consortium's quarterly publication. What you know about this subject can become evidence, a case or a correction in the next edition, credited to you and published under CC BY 4.0 where it is your own work.
GCRIEnergy NexusGlobal Sector Risk and ResilienceStrategic SystemsScenario and Stress-Test
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