Motor Computational Tool
2D nonlinear FE solver
STATOR SLOT
ROTOR POLE
SYMMETRY SECTOR
FULL MOTOR
drag to pan · scroll to zoom · double-click to reset
Active geometry: toy_spm 🔒 idle
Newton–Raphson runtime log

          
Symmetry sector · geometry to be simulated
            

          

            
            
            
          

          
drag to pan · scroll to zoom · double-click to reset

        

        

          
Electromagnetic torque

            

          
Mechanical power

            

          
Phase currents

            

          
Phase voltages (recovered)

            

          
          

        

      

    


    
    

      
      

        

          
          
          
          
        

        

        

          

        

      

    


    
    

      
      

        

          
          
          
        

        
Pareto front · live (grey = population, coloured line = non-dominated front)

        

        
Convergence · best objective vs generation

        

        

          

        

      

    


    
    

      
      

        
Validation · predicted vs true (held-out test set)

        

          
        

        

        

        
Live prediction (instant — no FE solve)

        

        

      

    


    
    

      
      

        

          
TEMPERATURE ZONES (lumped — representative)

            

          

            

            

            

          

        

        
        
Validated thermtool reluctance network (Mellor cylindrical components) — docs/BENCHMARKS.md.


        
        

        
        
      

    


    
    

      
      

        
3D VIEW — TRUE KINEMATICS (drag to orbit · wheel to zoom · double-click to reset)
          
          

          
rate the reducer to see it in 3D

        
        

        

        

        

        

          
MESH IN THE CARRIER FRAME — TRUE INVOLUTES · LINE OF ACTION A–E · LOAD PER TOOTH PAIR

            
            

              

          

          
MEMBERS — STATIC AND LOAD-SPECTRUM SAFETY

        

        
TOOTH CONTACT ANALYSIS — ONE MESH CYCLE AND ONE TOOTH PAIR FROM A TO E

        

          
Static transmission error (µm along the line of action)

          
Load share of one tooth pair

          
Contact stress along the path

          
Specific sliding

          
Contact temperature (bulk + flash)

        

        

        
S-N

        

        

        
ISO 6336 calculation sheet

        
Gear geometry

        
ISO 6336:2019 method B (pitting part 2, bending part 3 with Y_F/Y_S from the 30° tangent of the fillet, load at the outer point of single contact; internal gear: rack substitute), K_V and K_Hβ by method C, life factors and Miner's rule per part 6, material values MQ (part 5). TCA: quasi-static load sharing with ISO single stiffness, parabolic along the path, linear tip relief; Blok flash temperature. Spur gears.

        

      

    


    
    

      
      
Drive train — pick a machine and a reducer, set the duty at the joint and simulate them together.
        The reducer is rated at the duty with its own model; the machine is solved by FE at every operating point (the current for the required torque, then a transient); the field and the gearbox animate together.

    


    
    

      

        

          
          
          
          
          
          
          
          
          
          
          
        

        

      

      

        

        

          

            
CAMPBELL DIAGRAM — ring modes (—) vs force-order excitation (rising) · crossings = resonance

            
          

          

            
STATOR RING MODES

            

            
FORCE HARMONICS

            

            

          

        

        
Analytic ring-mode NVH screening (2D). EM Maxwell-stress force orders vs stator natural frequencies; a 3D modal POC with eigenvalue reuse is on the roadmap (docs/ROADMAP.md Phase G).

      

    


    
    

      
      

        

        

        

        

        
Individual = each discipline solved standalone from the current design. Coupled = outputs feed inputs (EM losses → thermal with resistivity feedback → structural; EM air-gap harmonics → NVH). Elmer rungs run real 3D FEM when installed; otherwise the analytic/LPTN rung, flagged.

      

    


    
    

      

    


    
    

      

        

          

            Victor Mukherjee
            VM
          

          

            
Victor Mukherjee

            
Creator of Helsinki — 2D finite-element solver for electric machines

          

        


        

          This is part of my hobby project — a 2D nonlinear finite-element solver for electric
          machines, built for fast, accurate motor-design exploration right in the browser.
          It covers a range of topologies, windings, cooling layouts and analysis modes:
        


        

          
3machine geometriessurface PM · V-type IPM · double-V IPM

          
2winding schemesconcentrated · distributed

          
2cooling mountsyoke holes · tooth-centre notch

          
7calculation profilessingle-point, no-load, cogging, back-EMF, torque sweeps…

        


        

          

            
✓ Validated

            
Cross-checked with Ansys Maxwell 2D — within 2% on torque and operating KPIs for identical inputs.

          

          

            
☁ Cloud-ready

            
A browser-based calculation tool, fully cloud-ready and scalable on a microservice-based architecture.

          

          

            
⚙ Applications

            
Rotating actuators, electric vehicles, and other high-performance electric drives.

          

        


        
Advanced version (not in this production build)

        

          A more advanced version performs higher-order statistical analysis such as
          Uncertainty Quantification, and builds surrogate models via
          order reduction or machine-learning models (XGBoost, RNN).
          Pre-built FMU generation is also on the roadmap.
        


        

          This is a private tool I use for my own research and for educational purposes with my students.
          I'm glad to discuss the different technical layers behind it — feel free to reach out.
        


        
          in  Connect on LinkedIn
        
      

    

  


  

    

      
Demo access — API key

      

      
      

      

        in  Request a key on LinkedIn