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Small hydro, geothermal and ocean energy

Energy / Renewable Energy Engineering (B.Tech) · Renewable energy technologies · free study notes for exams, placements and interviews

In short

These are the "other" renewables: energy taken from falling water in small streams, from heat stored in the Earth's crust, and from the tides, waves and thermal layers of the sea. In India small hydro (up to 25 MW, the MNRE definition) is the only one of the three that is commercially built at scale — roughly 5.1 GW installed against an assessed potential of about 21,133 MW at some 7,100 sites (AHEC, IIT Roorkee database; MNRE updates the installed figure monthly) — while geothermal power and ocean power remain at pilot and feasibility stage. The topic is examined in GATE (EE/ME/CE "non-conventional energy sources"), in university renewable-energy and hydraulic-machines papers, and in interviews at NHPC, SJVN, THDC, state hydro corporations (KPCL, HPPCL, UJVNL), Jyoti/Flovel/Voith/Andritz turbine makers, ONGC and GSI (geothermal), and NIOT Chennai (ocean). It matters because small hydro is a dispatchable, decades-long asset in Himalayan and Western Ghat states, geothermal is a baseload option for Ladakh, and ocean energy is predictable even when wind and sun are not.

Explained

1. Small hydro: classification, schemes and civil works

2. Small hydro: turbines, generators and performance

3. Geothermal energy

4. Ocean energy: tidal range and tidal stream

5. Ocean energy: waves, OTEC and salinity gradient

Key points

Formulas and examples

Hydro power: P = ρ g Q H_net η_o — P in W; ρ = 1,000 kg/m³ (water); g = 9.81 m/s²; Q = discharge (m³/s); H_net = net head (m); η_o = overall efficiency = η_turbine × η_generator × η_drive (0.70–0.85 for SHP).
Net head: H_net = H_gross − h_f − h_minor, with pipe friction h_f = f L V² / (2 g D) (Darcy–Weisbach) — f friction factor, L and D penstock length and diameter (m), V velocity (m/s).
Specific speed (metric, turbines): Nₛ = N √P / H1.25 — N in rpm, P in kW, H in m. Pelton ≈ 10–60; Francis ≈ 60–300; Kaplan ≈ 300–1,000.
Synchronous speed: N = 120 f / p — f = 50 Hz, p = number of poles.
Annual energy: E = P_rated × 8,760 × CF (kWh); capacity factor CF = annual energy / (rated power × 8,760).
Penstock shell thickness: t = p D / (2 σ_allow) + corrosion allowance — p = design pressure including water-hammer rise (Pa), σ_allow = allowable hoop stress (Pa).
Geothermal heat extracted: Q̇ = ṁ c_p (T_in − T_out) (kW); ORC output W = Q̇ × η_cycle; Carnot limit η = 1 − T_cold/T_hot (kelvin); depth for a target temperature z = (T − T_surface) / gradient.
Heat-pump COP: COP_heating = Q_delivered / W_input; Carnot ceiling = T_hot / (T_hot − T_cold) in kelvin.
Tidal barrage energy per cycle (single-effect): E = ½ ρ g A R² (J) — A = basin area (m²), R = tidal range (m), ρ ≈ 1,025 kg/m³ (sea water). Average power = E × cycles per day × η / 86,400.
Tidal stream / current turbine: P = ½ ρ A v³ Cₚ — A = swept area (m²), v = current speed (m/s), Cₚ ≤ 0.593 (Betz).
Regular wave power per metre of crest: P = ρ g² H² T / (32π) (deep water, H = wave height, T = period).
Irregular sea state: P = ρ g² Hₛ² Tₑ / (64π) ≈ 0.49 Hₛ² Tₑ kW/m — Hₛ = significant wave height (m), Tₑ = energy period (s).
OTEC net power: P_net = P_turbine − P_pumps(cold water + warm water + working fluid); the cold-water pump alone can take 20–30% of gross.

Example 1 — Sizing a run-of-river SHP unit. Design discharge 4 m³/s after deducting environmental flow, gross head 22 m, total hydraulic losses 2 m, turbine 0.90, generator 0.95, drive 0.97.

Example 2 — Turbine choice from specific speed. Same plant, P = 650 kW, H = 20 m, generator at 750 rpm direct-coupled (8-pole, 120 × 50 / 8 = 750 rpm).

Head availableDischargePreferred turbineNₛ (metric)
2–30 mLargeKaplan / bulb / tubular300–1,000
10–350 mMediumFrancis60–300
5–100 mSmall–mediumCross-flow (Banki)20–100
50–250 mSmallTurgo30–100
60–1,000 m+SmallPelton10–60

Example 3 — Binary geothermal plant. Brine at 160 °C, 150 kg/s, cooled to 90 °C before reinjection; c_p = 4.2 kJ/kg·K; ORC first-law efficiency 11%; parasitic load 17% of gross.

Example 4 — Tidal barrage, single-effect ebb generation. Basin area 20 km², mean range 5 m, two tidal cycles a day, overall conversion (turbine + generator + sluice and head losses) 35%.

Example 5 — Wave and tidal-stream comparison at an Indian site. Sea state Hₛ = 2.0 m, Tₑ = 8 s; separately, a channel with peak spring current 2.5 m/s and a 12 m diameter rotor at Cₚ = 0.40.

AttributeSmall hydroGeothermalTidal rangeWaveOTEC
PredictabilitySeasonal, knownBaseload, constantExact, years aheadDays aheadNear constant
Typical capacity factor0.35–0.600.80–0.950.22–0.300.20–0.350.70–0.90
Conversion efficiency70–90%10–20%25–40%15–30%2–3% net
Indian status~5.1 GW commercialPilot (Puga)None operatingDemonstration (OWC)R&D / desalination
Main cost driverCivil worksDrillingBarrage civil workMooring, survivabilityCold-water pipe

Where it is used

Interview questions

Common mistakes

Related topics

Renewable energy systems: solar, wind and storage · Wind energy conversion systems · Turbomachinery: turbines, pumps and compressors · Fluid mechanics and open-channel flow · Power cycles: Rankine, Otto, Diesel and Brayton · Grid integration, RPO and electricity regulation in India

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