Energy Fundamentals: Resources, Units & Conversion
The big picture of energy. Learn energy vs power, units and conversions (J, kWh, toe, BTU, kcal), primary, secondary and final energy, the global and Indian energy mix, conversion chains and efficiencies, the laws of thermodynamics as limits, energy density of fuels and batteries, capacity factor, and the energy transition — with Python converting fuels and tracing primary energy behind household electricity.
Energy engineering is about producing, converting, transmitting, storing and using energy efficiently, affordably and cleanly. Every choice — a power plant, a solar farm, an efficient motor, a battery — is judged by energy flows and conversion losses.
Understanding units, conversion chains and efficiency limits lets engineers compare options fairly: a kilowatt-hour of electricity from coal may require more than three kilowatt-hours of primary energy.
An analogy
An energy system is like a water supply with leaky pipes: primary energy is the water at the reservoir, final energy is what reaches your tap, and every conversion (power plant, transmission, appliance) is a leak along the way.
Energy vs power
Power is the rate of energy flow (watts); energy is power × time (joules, kWh). A 1 kW heater running for 3 h uses 3 kWh. Power ratings describe capacity (MW of a plant), energy describes output (MWh per year). Confusing them is the most common beginner error.
Energy resources and the mix
Primary sources:
- Fossil — coal, oil, natural gas (still ~80% of global primary energy)
- Nuclear — fission of uranium/thorium
- Renewable — solar, wind, hydro, biomass, geothermal, ocean
- India: coal dominates electricity, with rapid growth in solar and wind toward 500 GW non-fossil capacity
- Secondary carriers — electricity, hydrogen, refined fuels, heat
Conversion and thermodynamic limits
Heat engines are limited by Carnot (1 − T_c/T_h); real steam plants reach 33–46%, combined cycles 55–63%. Direct conversions avoid heat-engine limits: electric motors (90–97%), batteries (90%+ round trip), fuel cells (40–60%), PV cells (20–25% of sunlight, but the 'fuel' is free). Every conversion also has second-law (exergy) losses.
Energy transition
Decarbonisation strategies: efficiency first, electrify end uses (transport, heating, industry), decarbonise electricity (renewables, nuclear), use hydrogen and sustainable fuels for hard-to-electrify sectors, and CCS for residual emissions. Challenges: variability of solar and wind (storage, flexibility, grids), critical minerals, affordability and energy access. Energy security and just transition matter as much as technology.
Formulas
- Energy and power:
E = P × t; 1 kWh = 3.6 MJ - Chain efficiency:
η_total = η₁ × η₂ × η₃ × … - Primary energy:
E_primary = E_final / η_chain - Capacity factor:
CF = actual annual energy / (rated power × 8760 h) - Carnot limit:
η_max = 1 − T_cold/T_hot - Conversions:
1 kcal = 4.187 kJ; 1 BTU = 1.055 kJ; 1 toe = 11.63 MWh
Worked example: Energy use
Given: 1.5 kW AC running 8 h/day for 30 days
Find: Monthly energy.
- 1.5 × 8 × 30
Answer: 360 kWh
Worked example: Capacity factor
Given: 100 MW solar farm produces 184 GWh/yr
Find: CF.
- 184 000/(100 × 8760)
Answer: 21%
Worked example: Carnot limit
Given: Steam at 600 °C, condenser at 40 °C
Find: η_max.
- 1 − 313/873
Answer: 64% (real plants ~40–45%)
Fuel conversions and primary energy
# Energy units and a household energy balance
kWh_per_MJ = 1 / 3.6
lpg_kg, lpg_MJkg = 14.2, 46.1 # one LPG cylinder
elec_kWh = 250 # monthly electricity
print(f"one LPG cylinder = {lpg_kg*lpg_MJkg:.0f} MJ = {lpg_kg*lpg_MJkg*kWh_per_MJ:.0f} kWh")
print(f"monthly electricity {elec_kWh} kWh = {elec_kWh*3.6:.0f} MJ")
# Primary energy behind 250 kWh of coal electricity (plant 35%, T&D losses 15%)
primary = elec_kWh / (0.35 * 0.85)
print(f"primary energy at the power plant = {primary:.0f} kWh ({primary/elec_kWh:.1f}x)")
# one LPG cylinder = 655 MJ = 182 kWh
# monthly electricity 250 kWh = 900 MJ
# primary energy at the power plant = 840 kWh (3.4x)A 14.2 kg LPG cylinder holds as much energy as 182 kWh of electricity, but 250 kWh of coal electricity costs 840 kWh of coal energy because of plant and grid losses. This is why saving electricity at the point of use saves roughly three times as much primary energy.
Common mistakes
- Wrong: Confusing kW and kWh. — Right: kW is power, kWh is energy.
- Wrong: Comparing fuels on mass alone. — Right: Compare on energy (LHV) and delivered useful energy.
- Wrong: Ignoring conversion losses. — Right: Trace primary energy through the chain.
Applications
- National energy planning: Balancing supply, demand and emissions.
- Industrial energy management: Tracking specific energy consumption.
- Building design: Energy performance and net-zero buildings.
- Transport electrification: Comparing well-to-wheel efficiencies.
Key takeaways
- Power × time = energy.
- Multiply efficiencies along the chain.
- Carnot limits heat engines.
- Transition: efficiency, electrification, clean supply.
Going further
- Exergy analysis: Second-law efficiency and quality of energy.
- Energy return on investment: EROI of different sources.
- Sankey diagrams: Visualising national energy flows.