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Lectur Lecture 18: e 18: Electr Electrical Distr ical Distribution ibution Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The


  1. Lectur Lecture 18: e 18: Electr Electrical Distr ical Distribution ibution

  2. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The transformer secondary has a phase voltage of 208 V and the resistors of the load have a resistance of 100 Ω. Step 1: Determine transformer phase voltage and line voltage: Step 2: Determine load phase voltage and line voltage: Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  3. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The transformer secondary has a phase voltage of 208 V and the resistors of the load have a resistance of 100 Ω. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 208V E S , L = E S ,P = 208V Step 2: Determine load phase voltage and line voltage: Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  4. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The transformer secondary has a phase voltage of 208 V and the resistors of the load have a resistance of 100 Ω. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 208V E S , L = E S ,P = 208V Step 2: Determine load phase voltage and line voltage: E L , L = E S , L = 208V E L , P = E L , L = 208V Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  5. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The transformer secondary has a phase voltage of 208 V and the resistors of the load have a resistance of 100 Ω. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 208V E S , L = E S ,P = 208V Step 2: Determine load phase voltage and line voltage: E L , L = E S , L = 208V E L , P = E L , L = 208V Step 3: Calculate load phase and line current: I L , L =  3 I L , P = 3.6A I L , P = E L , P / Z L ,P = 2.08A Step 4: Determine transformer secondary phase and line current:

  6. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit A delta-connected three-phase transformer supplies power to a delta-connected resistive load. The transformer secondary has a phase voltage of 208 V and the resistors of the load have a resistance of 100 Ω. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 208V E S , L = E S ,P = 208V Step 2: Determine load phase voltage and line voltage: E L , L = E S , L = 208V E L , P = E L , L = 208V Step 3: Calculate load phase and line current: I L , L =  3 I L , P = 3.6A I L , P = E L , P / Z L ,P = 2.08A Step 4: Determine transformer secondary phase and line current: I S , P = 1  3 I S , L = 2.08A I S , L = I L , L = 3.6A

  7. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit For previous circuit example, determine real, reactive, and apparent power:

  8. Exam Example: Delta- ple: Delta-Delta Cir Delta Circuit cuit For previous circuit example, determine real, reactive, and apparent power: PF = 1 P = 3 E L , P I L , P PF = 3 ∗ 208V ∗ 2.08A = 1.3kW S = P = 1.3kVA Q = 0kVAR

  9. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit A delta-connected three-phase transformer supplies power to a wye-connected induction motor. The transformer secondary has a phase voltage of 480 V and motor windings have a total impedance of 20 Ω. The motor operates with a power factor of 0.9. Step 1: Determine transformer phase voltage and line voltage: Step 2: Determine load phase voltage and line voltage: Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  10. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit A delta-connected three-phase transformer supplies power to a wye-connected induction motor. The transformer secondary has a phase voltage of 480 V and motor windings have a total impedance of 20 Ω. The motor operates with a power factor of 0.9. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 480V E S , L = E S ,P = 480V Step 2: Determine load phase voltage and line voltage: Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  11. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit A delta-connected three-phase transformer supplies power to a wye-connected induction motor. The transformer secondary has a phase voltage of 480 V and motor windings have a total impedance of 20 Ω. The motor operates with a power factor of 0.9. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 480V E S , L = E S ,P = 480V Step 2: Determine load phase voltage and line voltage: E L , P = 1  3 E L , L = 277V E L , L = E S , L = 480V Step 3: Calculate load phase and line current: Step 4: Determine transformer secondary phase and line current:

  12. Example: Delta- Exam ple: Delta-Wye Cir Wye Circuit cuit A delta-connected three-phase transformer supplies power to a wye-connected induction motor. The transformer secondary has a phase voltage of 480 V and motor windings have a total impedance of 20 Ω. The motor operates with a power factor of 0.9. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 480V E S , L = E S ,P = 480V Step 2: Determine load phase voltage and line voltage: E L , P = 1  3 E L , L = 277V E L , L = E S , L = 480V Step 3: Calculate load phase and line current: I L , L = I L , P = 13.9A I L , P = E L , P / Z L ,P = 13.9A Step 4: Determine transformer secondary phase and line current:

  13. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit A delta-connected three-phase transformer supplies power to a wye-connected induction motor. The transformer secondary has a phase voltage of 480 V and motor windings have a total impedance of 20 Ω. The motor operates with a power factor of 0.9. Step 1: Determine transformer phase voltage and line voltage: E S ,P = 480V E S , L = E S ,P = 480V Step 2: Determine load phase voltage and line voltage: E L , P = 1  3 E L , L = 277V E L , L = E S , L = 480V Step 3: Calculate load phase and line current: I L , L = I L , P = 13.9A I L , P = E L , P / Z L ,P = 13.9A Step 4: Determine transformer secondary phase and line current: I S , P = 1 I S , L = I L , L = 13.9A  3 I S , L = 8A

  14. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit For previous circuit example, determine real, reactive, and apparent power:

  15. Exam Example: Delta- ple: Delta-Wye Cir Wye Circuit cuit For previous circuit example, determine real, reactive, and apparent power: PF = 0.9 P = 3 E L , P I L , P PF = 3 ∗ 277V ∗ 13.9A ∗ 0.9 = 10.4kW S = P PF = 10,400 = 11.6kVA 0.9 Q =  S 2 − P 2 = 5.04kVAR

  16. Electr Electrical Distr ical Distribution ibution NOTE: Book defines everything post-generation pre-use as distribution. Typically though, this system is broken-up into transmission and distribution.

  17. Pr Prim imar ary- y-side Distr side Distribution ibution Radial Distribution Network • Power delivered along a single distribution path • Cheapest to build • Used often in rural areas • Grid disruption → shut down entire line

  18. Pr Prim imar ary- y-side Distr side Distribution ibution Loop Distribution Network • Power delivered by loop(ed) distribution path(s) • More expensive than radial • Allows isolation of grid disruptions with minimal effect on customers

  19. Secondar Secondary- y-side Distr side Distribution ibution Radial Distribution Network

  20. Secondar Secondary- y-side Distr side Distribution ibution Loop Distribution Network

  21. Residential Secondar Residential Secondary y Distr Distribution ibution • Residential customers typically get 120V/240V single- phase, 3-wire service • Taken from 1-phase of 3-phase primary distribution

  22. Residential Secondar Residential Secondary Distr Distribution ibution

  23. Com Commer ercial and Industr cial and Industrial ial Distr Distribution ibution • Commercial and industrial installations – Distribution can be: • Single-phase, three-wire service or • three-phase, four-wire service – Includes large residential apartment buildings – Service-entrance conductors terminate into a main disconnect – Then to individual unit meters / distribution units

  24. Lar Large Com ge Commer ercial and cial and Industr Industrial Distr ial Distribution ibution • Electrical Service: – Typically 3-phase: 120/208 V or 277/480 V – If 277/480 V: • Need transformers distributed on-site for 120 V service – If large building/plant: • Service installed near center point • Minimize line loss on branch-circuits.

  25. Ver Very Lar y Large Com ge Commer ercial and cial and Industr Industrial Distr ial Distribution ibution • Purchase electricity at primary voltage / current levels • Minimize power losses due to vast consumer load network • Install local transformers at points of load.

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