Electrical Cable Sizing IS 1554 — Worked Example India

Electrical Cable Sizing IS 1554 — Worked Example

Cable sizing is one of the most fundamental electrical engineering calculations, yet it is frequently done incorrectly in Indian projects — resulting in undersized cables that overheat and create fire risk, or oversized cables that waste money. This article walks through the complete IS 1554 cable sizing methodology with a full worked example.

1. IS 1554 — Overview

IS 1554 (Specification for PVC insulated cables for working voltages up to and including 1100 V) is the primary Indian standard for LV power cables. IS 1554 Part 1 covers single-core cables; Part 2 covers multicore cables. For cable sizing, the relevant parameters from IS 1554 are the current-carrying capacity tables and the derating factor methodology.

2. Cable Sizing Steps

Step

Parameter

Method

1

Design current (Ib)

Calculate load current from power, voltage, power factor

2

Protection device rating (In)

In ≥ Ib — select standard fuse or MCB/MCCB size

3

Current rating required (It)

It ≥ In — after applying derating factors

4

Select cable (Iz)

Iz ≥ It — select from IS 1554 tables

5

Voltage drop check

Calculate voltage drop — must be ≤ 2.5% for power circuits

6

Short circuit check

Verify cable withstands fault current until protection clears

3. Derating Factors

The current ratings in IS 1554 are based on standard conditions: 30°C ambient air, single circuit, installed in free air. Real installations deviate from these conditions — derating factors must be applied.

Ambient Temperature Derating (Ca)

Ambient Temperature (°C)

Derating Factor Ca (PVC insulation)

25

1.06

30 (reference)

1.00

35

0.94

40

0.87

45

0.79

50

0.71

Note: In Indian electrical rooms and cable trenches, ambient can reach 45–50°C in summer — always check actual conditions and apply appropriate Ca.

Grouping Derating (Cg)

Number of Cables / Circuits

Derating Factor Cg (touching)

1 (reference)

1.00

2

0.80

3

0.70

4

0.65

5

0.60

6

0.57

7–9

0.52

10–12

0.50

Installation Method Derating

Installation Method

Typical Derating vs Free Air

Free air (clipped or on ladder)

1.00 (reference)

On cable tray, single layer

0.95

In conduit (in wall, PVC)

0.77

Buried direct in ground

Depends on soil thermal resistivity — see IS 1554

In cable duct (underground)

0.75

4. Worked Example

Cable from MDB to an air-handling unit (AHU) with the following parameters:

Input Parameter

Value

AHU motor power

15 kW

Supply voltage

415V 3-phase 4-wire

Power factor

0.85

Efficiency

92%

Ambient temperature in cable route

40°C

Installation method

Cable tray — 3 circuits touching

Cable length

35 m

Cable type

IS 1554 PVC armoured multicore

Step 1 — Design Current

Ib = P / (√3 × V × PF × η) = 15,000 / (1.732 × 415 × 0.85 × 0.92) = 26.7 A

Step 2 — Protection Device

Select 32A MCB (In = 32A ≥ Ib = 26.7A) ✓

Step 3 — Required Current Rating After Derating

Combined derating factor = Ca × Cg = 0.87 (40°C) × 0.70 (3 circuits) = 0.609

Required It = In / combined derating = 32 / 0.609 = 52.5 A

Step 4 — Cable Selection

From IS 1554 tables: 10 mm² 4-core PVC armoured cable has Iz = 57 A in free air. After derating: 57 × 0.609 = 34.7 A — insufficient.

Try 16 mm² 4-core: Iz = 76 A in free air. After derating: 76 × 0.609 = 46.3 A — still insufficient.

Try 25 mm² 4-core: Iz = 99 A in free air. After derating: 99 × 0.609 = 60.3 A ≥ 52.5 A ✓

Preliminary cable selection: 25 mm² 4-core IS 1554 PVC armoured cable.

Step 5 — Voltage Drop Check

Voltage drop formula (3-phase): ΔV = √3 × I × L × (R cosφ + X sinφ) / 1000

For 25 mm² cable: R = 0.927 mΩ/m, X ≈ 0.08 mΩ/m

ΔV = 1.732 × 26.7 × 35 × (0.927 × 0.85 + 0.08 × 0.527) / 1000 = 1.25 V

% Voltage drop = 1.25 / 415 × 100 = 0.30% — well within 2.5% limit ✓

Result

Select: 25 mm² 4-core PVC armoured cable to IS 1554, with 32A MCB protection. Cable is satisfactory for current rating and voltage drop.

5. Summary Checklist

  1. Calculate design current (Ib) accurately — include power factor and efficiency
  2. Select protection device In ≥ Ib
  3. Determine all applicable derating factors — ambient temp + grouping + installation method
  4. Required It = In ÷ combined derating factor
  5. Select cable with Iz ≥ It from IS 1554 current rating tables
  6. Verify voltage drop ≤ 2.5% for power, ≤ 1% for lighting
  7. Check fault current withstand — especially for long cables or large fault currents

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