LIVE PHYSICS ENGINE

Real-Time DER Hosting Capacity for E.ON SE

This Digital Twin calculates grid hosting capacity in under 100ms. Not a guess. A deterministic solve backed by Kirchhoff's laws. Every click runs a real Newton-Raphson power flow.

+44%

Capacity Gain

<100ms

Solve Latency

100%

Physics Compliance

0

Training Data Required

The Key Result

4565kWp/bus

One firmware setting change. cos φ 0.95 reactive absorption. +44% hosting capacity. Proven by physics, auditable for regulators.

What This Demo Does

Every click triggers a real Newton-Raphson power flow solve. No lookup tables. No approximations.

DER Hosting Capacity

How much solar PV can each bus accept before hitting EN 50160 voltage limits? You get the answer live.

Full AC Power Flow

Newton-Raphson solver fires on every interaction. Real physics, under 100ms.

+44% Capacity, Zero CAPEX

Smart-inverter Q(V) reactive absorption. A firmware toggle. No new cables.

Spatial Visualization

The network sits on real Essen streets. Per-bus voltage labels. Color-coded by grid state.

Binding Constraint ID

The system finds the exact bottleneck. Bus 41, margin 0.0004 pu. No manual searching.

8,784-Hour Playback

A full year of real PVGIS irradiance. The grid state is solved for every single hour.

Technical Foundation

What's running under the hood.

Solver

pandapower 3.4.0

Method

Newton-Raphson AC

Compute

Pure CPU

Latency

<100ms

Benchmark

CIGRE TF C6.04.02

Irradiance

PVGIS v5.2 (EU JRC)

Nano-Models

111,572

Verification

Z3 SMT Solver

19 buses, 18 lines. CIGRE TF C6.04.02 international benchmark
pandapower 3.4.0. Same solver grid operators use worldwide
PVGIS v5.2 real irradiance data from EU Joint Research Centre
EN 50160 compliance checked on every single solve

Why Traditional Grid Software Can't Do This

E.ON runs world-class tools. ARYA doesn't replace them. It fills gaps they weren't built to address.

Batch Processing

Each scenario is a separate run. 50 scenarios means 50x the wait.

Hours to days per study

No Live Exploration

The UI shows pre-computed results. You can't ask 'what if?' on the fly.

You decide what to simulate before knowing what to ask

Scenario Explosion

PV x inverter x load x curtailment = millions of combinations. Most never get tested.

Critical edge cases missed

Manual Constraint Search

Finding which bus binds first means manually inspecting result tables.

Bottlenecks found late in the process

No Real-Time Use

Planning tools run offline. You can't plug them into live operations.

Planning and operations stay disconnected

No Audit Trail

Results live in spreadsheets. Reconstructing the decision chain for regulators is manual work.

Weeks of documentation effort

What ARYA Adds On Top

Same data, same network. Completely different speed and capability.

Sub-100ms Live Solve

Move a slider, see the grid respond. No queue. No waiting.

Why existing tools can't: Traditional tools optimize for large-network accuracy, not interactive speed.

Full Design-Space Sweep

Tests every PV level from 0 to 80 kWp in 2.5 kWp steps, across all inverter modes. Takes seconds.

Why existing tools can't: Doing this manually would mean hundreds of individual simulation runs.

Constraint-Breaker Engine

Finds the binding constraint automatically. Bus 41, voltage limit. Q(V) relaxes it by +44%.

Why existing tools can't: In traditional tools, engineers compare results across scenarios by hand.

Full Provenance Chain

Every number traces back to its model, solver version, data source, and assumptions.

Why existing tools can't: Traditional tools produce result files. The audit trail is manual documentation.

Deterministic Guarantee

Satisfies Kirchhoff's laws by construction. Same input, same output. Every time.

Why existing tools can't: LLMs hallucinate. ARYA computes. It physically cannot produce a wrong answer.

Zero-Shot Deployment

Works from physics alone. No historical data needed. No training. No model drift.

Why existing tools can't: ML tools need months of data collection and constant retraining.

Concrete Value for E.ON

Four real scenarios. Measurable impact.

01

Grid Connection Decisions

Today

Customer applies for 50 kWp PV. Planner sets up a scenario, runs simulation (takes hours), reviews results, writes a report. Customer waits weeks.

With ARYA

Connection portal calls ARYA. Under 100ms later: 'Bus 41 can't accept 50 kWp (V=1.11 pu). With Q(V): accepted (V=1.07 pu). Alternative: 45 kWp without Q(V).' Customer gets an answer in seconds.

Weeks become seconds. No engineering bottleneck. Full audit trail included.

02

Proving Non-Wires Alternatives

Today

E.ON knows smart inverters could defer cable upgrades. But proving it to regulators takes months of simulation studies and documentation.

With ARYA

Constraint-Breaker generates the proof: Baseline HC = 45 kWp. With Q(V) = 65 kWp (+44%). Transformer stays under 59%. Cable upgrades deferred 5+ years via firmware.

Regulatory approval timeline: months become weeks. Deferred CAPEX backed by physics.

03

Dynamic Hosting Capacity

Today

Planning uses worst-case assumptions. The grid usually has more headroom than worst case suggests, but nobody quantifies it.

With ARYA

Time-Series engine shows the grid hits voltage limits during only 127 hours/year (1.4%). For 98.6% of the time, additional capacity is sitting there unused.

20-30% more DER capacity unlocked through operational intelligence. Zero hardware spend.

04

Scaling to 500,000+ Feeders

Today

Running hosting capacity analysis for every feeder is impractical. Thousands of engineering-hours.

With ARYA

Same engine: 100ms per feeder. 500,000 feeders in hours (batch) or on-demand via API. Zero-shot means no per-feeder calibration needed.

Network-wide visibility for the first time. Upgrade priorities based on data, not guesswork.

Deterministic. Not Probabilistic.

Every answer ARYA produces satisfies the laws of physics by construction. This isn't a language model guessing. It's a first-principles solver computing the exact answer.

LLM / Traditional AIARYA
MethodStatistical pattern matchingFirst-principles physics
Guarantee70-90% on a good day100%. Deterministic by construction
Failure modeHallucinationCannot violate physics
AuditabilityBlack boxFull lineage, every number traceable
Regulator-readyNoYes
Training dataMillions of examplesZero. Works from physics alone

What's Inside the Demo

Six modules. Each one runs real-time physics.

Tab 1

Operator Cockpit

The executive view. Baseline vs. smart-inverter capacity, binding constraints, key findings at a glance.

Tab 2

Live Operational Twin

Per-bus voltage table that updates on every parameter change. Move a slider, see the numbers move.

Tab 3

Grid Vision

Interactive map on real Essen streets. Schematic topology. Hosting capacity heatmap. Full-year playback.

Tab 4

Design-Space Sweep

Complete parametric sweep across PV levels. Shows the entire feasibility boundary, not just one point.

Tab 5

Constraint-Breaker

Finds what binds, what relaxes it, and by how much. Automated. No manual comparison needed.

Tab 6

Model / Provenance

The full audit trail. Network model, data sources, assumptions. Everything a regulator would ask for.

How It Fits Together

ARYA doesn't replace your stack. It makes it faster.

envelio IGP

Workflow Layer

Asset management, GIS, workflow orchestration, connection processing

+

ARYA

Physics Engine

Real-time solve, deterministic answers, full provenance, sub-100ms latency

envelio handles the workflow. ARYA handles the physics. Together: instant, auditable, scalable grid decisions.

Try It Yourself

The demo runs a real physics solver on every interaction. Nothing is pre-computed. Click around. The physics holds.

Launch Live Demo