Statistics of Locomotive — Real 4A Statement & Operating Formulas

Electrical Engineering Electric Loco and EMU Operation Chapter 3/10 24 min read Source: Verified Source
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Every month, each railway compiles loco utilisation and accountal data in a real format called Statement 4A, for steam/diesel/electric locomotives.

Real 4A Statement Terminology

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Exam Focus — Real Worked Example: Average Authorised Stock
Average authorised stock is a weighted average across the month. Example: shed holding on 1st July = 109; 10 locos arrive 16th July (holding becomes 119 from 16th); 15 more arrive 26th July (holding becomes 134 from 26th). Average authorised stock for July = 109 + (16×10 + 6×15)/31 = 120.6. This is the total number of engines authorised for the line by the Railway Board, recalculated every month.

Real Service Classification & Formulas

Real Service TypeReal Definition
Passenger serviceLocos on passenger/mail/express services = Total engine hrs on such services in a calendar day ÷ 24
Mixed serviceParcel trains, plantain special etc. = Total engine hrs on mixed services ÷ 24
Goods service= Total engine hrs on goods services ÷ 24
Shunting serviceEngines earmarked for yard/siding shunting only. If a TRAIN engine does shunting for its own train, those hours count under the train's own service (pass/mixed/goods) instead — e.g. a goods-train engine used by the SM for shunting counts as goods-service hours.
Departmental serviceBallast/rail-moving trains for engineering dept.; track-maintenance work (PQRS etc.); pilot engines running for protection of trains.
Banking serviceEngines banking heavier loads on steep gradients — real-world provided full-time (round-the-clock) at certain grade sections. If a banking engine is used to bank a GOODS train, its hours count as goods-service hours instead.

Real note: if an engine is used for 2+ services during one midnight-to-midnight day, it's allocated to each different service based on time spent on each.

Real Classification of Engine Failures

An engine is 'failed' if it can't complete its journey with the specified engine in specified time.

Real Failure TypeReal Threshold
Statistical engine failureLoco-related problem causes ≥30 min arrival delay for mail/express/passenger trains, OR ≥60 min delay for freight trains
Non-statistical engine failureLoco problem occurs but loss of time is <30 min (mail/express/passenger) or <60 min (goods)

Real time-loss calculation: for passenger-carrying trains, loss is calculated NET — mail/express/passenger trains may also gain time running at max. permissible speed, so net time loss = time lost − time gained. Real worked example: an express train lost 25 min to a loco problem but gained 15 min elsewhere in the run — net time loss = 25 − 15 = 10 minutes only. For goods trains, loss = time lost only (time gained isn't tracked/maintained for goods).

Real Repair-Outage Targets & Holding Formulas

Real Railway Board-prescribed repair-allowance targets: Statistical under repair = 9.2%. Minor under repair = 10% (available for ALL services except mail/express/passenger — since minor repair for passenger locos happens during the loco's real lie-over period at the destination station, which is treated as 'in use' time, not under-repair time; freight/other services have no such lie-over/link provision, hence the 10% allowance).

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Exam Focus — Real Outage Holding Formula Chain
Coaching-loco holding = Coaching target × 100 ÷ 90.8 (i.e., ÷(100−9.2), assuming 9.2% statistical repair allowance). For inferior services (departmental + shunting, Ld+Ls), the combined statistical+minor allowance gives: Target for inferior outage = Li × 0.817 (derived as Li(0.908 − 0.908×0.10)); so Li = (Ld+Ls)/0.817. Real overall shed-holding formula: Lh = Lc/0.908 + (Lg+Ld+Ls)/0.817, where Lh=total loco holding of the shed, Lc=coaching-service outage target, Lg=goods-service outage target, Ld=departmental outage target, Ls=shunting outage target. Real worked example: if Lh=100, Ld+Ls=5, Lc=45, solving gives target goods outage Lg = 0.817×(100 − 45/0.908) − 5 = 0.817×51 = 41.67.

Hire Charges of Locomotive — Real Rules

Per real Railway Board letter No. F(X)1-92/12-1 dated 12.1.1993, engine hire charges are now calculated on ENGINE HOURS used (not engine km, as earlier practice was). 2 real categories: (i) engine hired to public/private sector for siding use — engine-hours accounted by the traffic department, billed to commercial branch who bills the sector; (ii) engine hire charges to another Zonal Railway — tracked via the PCOR/TLC recorder's hourly chart of loco movement, with TLC/PCORs staying in constant touch with neighbouring division/railway TLC/PCOR to record engine handover/takeover times. Real budgeting note: divisions with no loco shed bear the full debit for foreign-railway locos running in their area; divisions with loco sheds budget for both their own engine-hire earnings (credit) and foreign-engine hire debits. Coaching-loco hire charges can be estimated accurately from the known timetable; goods-engine hire charges (no fixed timetable/link) are estimated from the traffic pattern of the last 3-6 months. Engine hire charges are accounted against a specific Demand No. in the budget.

Real Duty-Hours Watch & LP Relief System

Real factors affecting goods-LP duty hours: distance between crew-change points, pre-departure detention, gradient/banking in section, mail/express/passenger traffic density, unusual occurrences, running-staff vacancies. Crew controllers maintain a log book of LP names/sign-on times; when an LP approaches a real 09-hour duty threshold, a relief LP is arranged — SCOR may be advised to run that LP's train without stopping for precedence so the LP reaches destination within 9 hours, or relief is arranged at a convenient station if that's not possible. An LP may also demand relief after completing the 9-hour duty period.

Light Engine / Dead Movement — Real Rules & Real Defect Speed Limits

Real accountal rule: if a loco fit for traffic use is moved dead/light for power balancing or clearing from another station, it's accounted as loco used for the freight/passenger service for which it's being moved. If a loco NOT fit for traffic use is moved as Light Engine Loco Account (LELA), the engine hours are counted as departmental service. Movement between divisions to balance engine holding is called Light Engine Traffic Account (LE.TA).

Real DefectReal Handling / Speed Restriction
Both PVs not working (vacuum-brake loco, no air-brake load available)Loco moved LIGHT without any speed restriction for attention of the defect
Breakage of helical springSpeed restriction 30-50 km/h, depending on extent of breakage, as decided by the inspecting supervisor and informed to TLC/PCOR
Suspension bearing metal-out (WAM4/WAG5)Affected wheel-set lifted with steel packing to avoid axle damage; if minor (checked by removing wick pads, oil topped up by removing white-metal chips), loco allowed LE/LA generally at 30 km/h without wheel lifting
Traction motor bearing seized / commutator mica out / resin-glass-steel-bending worked outGenerally the defective TM's pinion is removed and loco runs ready for traffic with 5 TMs; if not possible, the affected wheel-set is lifted and loco moves LELA to homing shed
End shield or gear case crack/looseALF/trip shed attends the defect to the extent possible in trip shed; if not fully rectifiable, loco allowed LELA with suitable speed restriction to homing shed
Bogie crackALF trip shed/supervisor examines and decides the LELA speed to homing shed

Other locomotive defects that prevent the loco from working are sent dead, attached to a goods or passenger train, per operating feasibility.

Real Km-per-Failure & Specific Electricity Consumption (SEC) Formulas

Real factors affecting specific energy consumption: (a) Distance between stops — more stops/starts waste energy; mail/express/passenger stops are fixed, but goods trains run on a proper (unobstructed) path avoid unnecessary halts. (b) Gradient — up-gradients cost more energy; down-gradient coasting saves electricity significantly. (c) Speed — the real train-resistance formula R = A + BV + CV² (R=train resistance, V=speed, A/B/C=constants) shows resistance rises with the SQUARE of speed, so running faster needs disproportionately more energy.

Daily Position of TRO Officers — Real 9-Item Report

TLC/PCOR and crew controller prepare a real daily position each morning covering the prior calendar day, sent to TRO officials.

Real Important Operating Statistics Terminology

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