Three-Phase Factory
ElectricalSwitch the plant's loads and keep all three phases balanced.
Simulation3D3D (Three.js)14 min
Transformer Challenge
Turns ratios, secondary currents and loading - set the plant transformer up right.
Difficulty: IntermediatePlay time: about 11 minutes
Play Transformer Challenge nowOpens the full-screen game - or play in place below.
Workplace narrative
A distribution transformer feeds a growing production load, and today the maintenance planner wants answers before the next shift: what is the secondary voltage doing, how much current is each side carrying, and is the transformer being loaded the way it should be? You have the nameplate data and a live loading meter. Run the ratio math, verify the secondary, then dial the load setpoint to the target the planner asked for - no more, no less.
Why this skill matters
Transformer math is foundational for electrical technicians, industrial electricians and power engineers. Strong performance strengthens the Electrical and Power/Energy pathways.
Learning objectives
- Apply the transformer turns ratio in both directions
- Calculate primary and secondary currents
- Convert between kW and kVA using power factor
- Set a transformer loading target with a live gauge
Equipment and components
Distribution transformer (2.4 kV / 240 V)Nameplate dataPrimary and secondary meteringLoading gauge with setpointTap changer
Technical principles
- Voltage ratio equals the turns ratio
- Current scales inversely with voltage (power is conserved)
- Transformers are rated in kVA because power factor belongs to the load
- Sustained overload overheats windings and shortens insulation life
How to play
- Rearrange the ratio formulas carefully before calculating
- Keep primary and secondary sides clearly labelled in your head
- For the setpoint task, slide the gauge to the target and check
- Read every explanation - ratio direction errors are the classic mistake
Rules
- Each question is worth 10 points plus streak bonuses
- Numeric answers accept a small tolerance
- Hints cost 3 points
- Pass each level with 70% or more
Formula and calculation section
Turns Ratio
Vp / Vs = Np / Ns
Primary to secondary voltage equals the turns ratio.
Secondary Current
Is = Ip x (Np / Ns)
Current scales inversely with voltage on a transformer.
Apparent Power
kVA = kW / PF
Divide real power by power factor to get apparent power.
Need help with the mathematics?
Open the relevant mathematics module, practice the calculation, then return to the scenario.
Electrical Power · P = V x IPercent Loading & Ratios · Loading% = actual / rated x 100Unit Conversion · value_new = value_old x factor
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Play right here
The full game runs on this page - no account, no install. Or open the full-screen play mode with the button above.
Level 1/2Score 0Streak 0Hints 0
Your shift briefing
A distribution transformer feeds a growing production load, and today the maintenance planner wants answers before the next shift: what is the secondary voltage doing, how much current is each side carrying, and is the transformer being loaded the way it should be? You have the nameplate data and a live loading meter. Run the ratio math, verify the secondary, then dial the load setpoint to the target the planner asked for - no more, no less.
Feedback approach
Explanations show the full substitution path, including where the ratio was reversed or a power factor was forgotten.
Common mistakes
- Reversing the ratio when stepping down
- Forgetting that current rises on the low-voltage side
- Using kW where a kVA rating applies
- Ignoring power factor when estimating loading
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Keep learning
Return to the Electrical hub to see the full skill path.