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AC load flow solver

Faster, more reliable load flow for the grids that can't afford to be wrong.

Velra is a next-generation AC load flow solver that plugs into the tools grid operators already use, built for probabilistic risk assessment, real-time operation and planning at scale.

Proprietary solver. Designed to integrate with open-source tools.

Load flow solved 11.8 ms

Base case Illustrative network and timings, not a real grid.

  • 2x faster than Newton-Raphson on standard benchmarks*
  • Larger convergence region near the solvability boundary
  • GPU-ready architecture

*IEEE 14-bus, IEEE 118-bus and Polish 2383-bus test networks. Validation on operator data is the goal of our pilot programme.

The problem

Every grid decision starts with a load flow. The demand on it is changing.

Grids are shifting towards variable renewable generation. The operating point is no longer a handful of predictable cases, so operators are moving from a few deterministic studies towards probabilistic risk assessment.

That shift turns dozens of load flow runs into thousands. The same solver has to do far more work in the same time window.

The Newton-Raphson method sits at the core of the major tools, including PSS/E, PowerFactory and pandapower. It dates from the 1960s, it is sequential by nature, and it can fail to converge near stressed operating points.

When it fails, operators are left with a question the solver cannot answer: does this case have no solution, or did the solver simply not find one?

  • Dozens to thousands

    load flow runs per assessment

  • 1960s

    origin of the method at the core of today’s tools

  • No clear answer

    when a stressed case fails to converge

Scenarios to solve
12,000
Solved in the time window
12,000
Each cell stands for 10 scenarios. Fixed time window

All 12,000 scenarios solved in the same window, assuming a solver twice as fast.

Illustrative Illustrative. Shows why probabilistic assessment needs thousands of load flows in a fixed window. The 2x figure is the benchmark speed-up applied to an example scenario count.

Technology

How Velra works

Velra is a novel iterative solver for the AC power flow equations. It is not a tuned version of Newton-Raphson: it takes a different route to the same answer. We describe what it does, and what it is designed to do, rather than how it works inside.

01Speed

About 2x faster on standard benchmarks

On the IEEE 14-bus, IEEE 118-bus and Polish 2383-bus test networks, Velra reaches the same convergence tolerance in about half the time of Newton-Raphson. Speed matters most where load flow runs by the thousand.

Newton-Raphson

Iteration 4 Relative time 1.00

1 1e-3 1e-6 1e-9 01234 iteration tolerance 1e-6

Converged

Velra

Iteration 3 Relative time 0.50

1 1e-3 1e-6 1e-9 01234 iteration tolerance 1e-6

Converged

Velra reached the tolerance in about 1/2 of the time (about 2x faster). Newton-Raphson total = 1.00

Illustrative Illustrative visualisation of benchmark results; actual timing depends on hardware and case.

02Reliability

Reliable near the boundary of solvability

Newton-Raphson is most likely to fail where operators most need an answer: stressed operating points close to the edge of what the network can carry. Velra is designed to converge over a larger region, and to report early when a case has no solution, so that a failure is a result you can act on rather than a question mark.

  • Larger convergence region near the solvability boundary
  • Early detection of cases with no solution
  • A reliable no is as useful as a reliable yes

Stress parameter

No solution exists

Loading level

  • Newton-Raphson converges
  • Velra converges
  • No solution exists

Newton-Raphson

Did not converge: unclear whether a solution exists

Velra

Converged

Reliable answers, including a reliable no.

Illustrative Illustrative map, not measured data. Drag the operating point towards the boundary.

03Parallel by design

Structured for many compute units at once, GPU-ready

Newton-Raphson is a chain: each step waits for the one before it. Velra is structured so that work can be spread across many compute units at the same time. It runs on standard CPUs today. GPU acceleration is the optimisation path, with a projected 5 to 10x with full GPU optimisation.

Newton-Raphson

A chain of dependent steps. Each waits for the one before.

Done

Velra

Independent work spread across many lanes, finishing together.

Done Projected: 5 to 10x with full GPU optimisation

Illustrative Projected 5 to 10x with full GPU optimisation. Dashed outlines mark projected performance, not measured results.

Use cases

Built around how each operator works

Pick your role. Each view shows what changes when load flow is faster and more reliable.

TSOs

Probabilistic risk assessment at operational scale

From operational security to long-term planning with higher-fidelity models, from one solver.

  • Run probabilistic risk assessment at a scale that fits the time window.
  • Cover contingency analysis (N-1, N-k) within operational time windows.
  • Get an answer, or a reliable no, on cases where standard methods fail to converge.

SchematicIllustrative, not a real network.

RCCs

Security analysis on tight timelines

Large merged models, repeated again and again, on cycles that keep getting shorter.

  • Fit capacity calculation and security analysis runs on merged grid models into tight timelines.
  • Support flow-based calculation and shorter intraday cycles with faster repeated runs.
  • Repeat large-network computations without waiting on a sequential solver.

SchematicIllustrative, not a real network.

DSOs

More studies on the hardware you already have

Connection and hosting-capacity questions multiply as distributed generation grows.

  • Run hosting-capacity and connection studies faster.
  • Work with larger meshed networks.
  • Cover more scenarios on the same hardware.

SchematicIllustrative, not a real network.

Integration and security

Plugs into your workflow. Stays inside your perimeter.

Velra is proprietary software with an open integration surface. It is designed to plug into open-source power system tools as a solver component, so there is no rip-and-replace.

  • Closed core, open integration surface

    Designed to integrate into open-source toolchains such as pandapower and PowSyBl as a solver component, through adapters.

  • Inside your perimeter

    Runs fully on-premises or behind your firewall. Your grid data never leaves your infrastructure.

  • Standard data formats

    Designed to work with CIM and PSS/E RAW. Status for each is shown below.

  • Deterministic and explainable

    A mathematical method, not AI. The same input gives the same result, and the behaviour can be audited and explained.

  • Pilot-friendly

    NDA and cybersecurity agreements are welcome.

  • Integration status

    • pandapower Toolchain Planned
    • PowSyBl Toolchain Planned
    • CIM Data format Planned
    • PSS/E RAW Data format Planned

    Each item carries its own status. Nothing is released unless it is marked Available.

run_loadflow.py Illustrative API

                
                    
                    import pandapower as pp
                  
                    
                    import pandapower.networks as pn
                  
                    
                     
                  
                    
                    net = pn.case118()
                  
                    
                     
                  
                    
                    pp.runpp(net)  # default: Newton-Raphson
                  
                    
                    pp.runpp(net, algorithm="velra")  # PLACEHOLDER API
                  
              

The solver argument is a placeholder, not a released interface.

Relative runtime

Newton-Raphson (default) 1.00 · converged
Velra (placeholder) ~0.50 · converged

Illustrative result. Newton-Raphson = 1.00.

Illustrative. A one-line solver swap in a familiar workflow. The API shown is a placeholder.

Pilot programme

Benchmark Velra on your own cases.

A free, scoped benchmark. We run Velra against your current solver, on your models, on your premises, and go through the results with you.

  1. 1

    Scope

    Agree the networks, cases and metrics that matter to you, and how data is handled. NDA and cybersecurity agreements are welcome.

  2. 2

    Run on-site

    We run Velra and your current solver on the same models, on your premises. Your data stays in your infrastructure.

  3. 3

    Review results

    We go through convergence behaviour and timing together, and decide what, if anything, comes next.

Tell us about your cases

A few lines is enough. We reply by email.

Prefer email? Write to us directly

No pricing, no commitment. We use your details only to reply.

Team

The people behind Velra

Mark Jeeninga

Founder and technical lead

Postdoctoral researcher at Lund University, Department of Automatic Control. Expert in power grids and networked dynamical systems.

Liam Aljundi

Background in interaction design.

Zoé Opdendries

Background in computer science.

Daniela Padilla

Business development

Background in interaction design.

Backed by

  • LU Innovation
  • Lund Ventures
  • Chalmers Ventures

FAQ

Questions operators ask

How is Velra different from Newton-Raphson?

Velra is a different, novel iterative solver for the AC power flow equations. It is not a tuned version of Newton-Raphson. Newton-Raphson is sequential and can fail near stressed operating points. Velra is designed to converge over a larger region, to flag cases with no solution early, and to run in parallel. Currently it is about 2x faster on standard academic benchmarks.

Is Velra a replacement for PSS/E or PowerFactory?

No. It is designed to sit alongside your existing tools as a solver component, so your models, workflows and validation stay as they are.

Does my grid data leave my organisation?

No. Velra runs on-premises or behind your firewall. A pilot is run on your premises, on your models.

How does the pilot work?

Three steps. We scope the cases with you, run Velra and your current solver on the same models on your premises, and review the results together. It is free and scoped, with no commitment. NDA and cybersecurity agreements are welcome.

What accuracy and convergence guarantees are there?

Velra targets the same AC power flow equations and the same convergence tolerances as your current solver, so results can be compared case by case. On the benchmark networks we have tested, it converges over a larger region than Newton-Raphson. We make no unqualified guarantees: behaviour on real operator data is what the pilot is for.

Is Velra open source?

No. The solver is proprietary. It is designed to plug into open-source tools like pandapower and PowSyBl through adapters, so you can use it inside workflows you already run.

Is the method published?

Publication and IP strategy are currently being finalised. Ask us what we can share today.

What hardware does it need?

Standard CPUs today. GPU acceleration is the optimisation path: we project 5 to 10x with full GPU optimisation, but that is a projection, not a measured result.