Skip to main content

SLD with voltage levels and why three-phase

Short answer

Typical levels are 11 kV generation, 132–400 kV transmission, and 33/11 kV distribution to 400/230 V consumers. Different voltages are used because high transmission voltage cuts loss and conductor volume, while low distribution voltage is safe and matches appliance ratings. Three-phase AC is chosen because it needs 75% of the conductor of single-phase, gives constant power, and enables self-starting machines.

Draw a single line diagram showing generation, transmission and distribution components of a power system with typical voltage levels and discuss why different voltages are used in these three components of power system. Also, explain the reason why transmission and distribution systems are three phase ac systems instead of single phase ac systems.

Single line diagram with typical voltage levels

 [G] 11 kV       Step-up       Transmission
  |---->[11/220 kV]====== 220/400 kV ======+
                                            |
 [G] 11 kV                          [220/132 kV]
  |---->[11/132 kV]====== 132 kV ====== Grid S/S
                                            |
                              Sub-transmission 66/33 kV
                                            |
                                    [33/11 kV] S/S
                                            |
                              Primary distribution 11 kV
                                            |
                                    [11/0.4 kV] DT
                                            |
                         Secondary 400/230 V consumers

Why different voltages are used

Generation (6.6–25 kV): Generator voltage is limited by the insulation that fits in the stator slots and by machine cost. Higher generation voltage is not practical.

Transmission (132–400 kV, up to 765 kV): Bulk power must travel long distances. For a given power:

  • current ∝1/V\propto 1/V, so loss ∝1/V2\propto 1/V^2 and % drop ∝1/V2\propto 1/V^2,
  • conductor volume for the same loss ∝1/V2\propto 1/V^2,
  • line capacity ∝V2\propto V^2.

So the voltage is raised as high as insulation economics allow.

Distribution (11 kV and 400/230 V): Near consumers, very high voltage would be unsafe and need large clearances in towns. Distances are short, so 11 kV primary and 400/230 V secondary are used for safety and cheap equipment, matching appliance ratings.

Why 3-phase AC instead of single-phase

  1. Less conductor: A 3-phase 3-wire line needs only 75 % of the conductor of a 1-phase line for the same power, voltage and loss.
  2. Constant power: Balanced 3-phase power is constant, giving smooth torque; 1-phase power pulsates at 2f2f.
  3. Bigger, more efficient machines: A 3-phase generator gives about 1.5 times the output of a 1-phase one of the same size.
  4. Self-starting induction motors on 3-phase supply.
  5. Both 400 V and 230 V available from a 3-phase 4-wire system.
  6. Cheaper transformers and switchgear per kVA and easier parallel operation.

✓ Answer checked by Claude Opus 5.5 (high effort)

All Power System Analysis I chapter 1 questions →