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newSchoolWorks.com › VoTechWorks › Building & Construction › Electrical Lineworker › Distribution Transformers: Theory, Installation, and Connections › Lesson 3
BLD-LINE69-05 · Lesson 3 · 8 clock hours · lab

Three-Phase Transformer Banks: Delta and Wye Configurations

Objective. Using three single-phase training transformers and a three-phase panel board, the student will connect a delta-wye and a wye-delta bank, calculate and verify line and phase voltages using the √3 relationship, and correctly identify the high-leg (wild leg) in a four-wire delta secondary.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a licensed professional engineer or master tradesperson or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Three-Phase Transformer Banks: Delta and Wye Configurations

Distribution systems deliver power as three-phase alternating current. A single large three-phase transformer or a bank of three individual single-phase transformers can step voltage up or down for that system. Understanding how those transformers connect—and what voltages appear at every terminal—is essential for a lineworker who installs, tests, or troubleshoots distribution equipment.

Why Banks of Three Single-Phase Transformers?

Utilities and industrial customers often prefer banks of single-phase units because a failed unit can be replaced without removing the entire assembly, and spare units are easier to stock. The two fundamental winding arrangements are delta (Δ) and wye (Y, or star). Either arrangement can be used on the primary side, the secondary side, or both, giving four common combinations: delta-delta, delta-wye, wye-delta, and wye-wye.

The Wye Connection

In a wye connection, one end of each winding is tied to a common point called the neutral (or star point). The other end connects to a line terminal. Because the three phase voltages are 120° apart, the voltage measured from any line terminal to neutral is the phase voltage (Vphase). The voltage measured between any two line terminals is the line voltage (VL).

The phasor geometry of a wye shows that:

> VL = √3 × Vphase ≈ 1.732 × Vphase

A wye secondary with a 120 V phase voltage therefore delivers 208 V line-to-line, which is the familiar 120/208 V system used in commercial buildings. A 277 V phase voltage delivers 480 V line-to-line, common in industrial facilities.

For current in a wye connection, line current and phase current are equal: IL = Iphase.

The Delta Connection

In a delta connection, the windings form a closed loop. Each winding is connected directly between two line terminals, so the phase voltage equals the line voltage: VL = Vphase.

The current relationship is the mirror of wye:

> IL = √3 × Iphase ≈ 1.732 × Iphase

This means each winding carries less current than the line conductor—an advantage for high-voltage primary windings where insulation, not conductor size, is the limiting factor.

Delta-Wye and Wye-Delta Banks

A delta-wye bank is the most common step-down configuration in North American distribution. The primary windings connect in delta across the incoming line; the secondary windings connect in wye, providing a neutral for single-phase 120 V loads as well as three-phase service. Voltage on the secondary is shifted 30° relative to the primary—important when paralleling banks.

A wye-delta bank is used to step voltage up (as in a substation power transformer) or to supply three-phase loads that do not require a neutral.

The Four-Wire Delta and the High Leg

A special secondary arrangement is the four-wire delta, sometimes called the lighting and power delta. Three single-phase transformers connect in delta, giving 240 V line-to-line for motor loads. A center-tap on one transformer winding provides a neutral, creating 120 V for lighting loads from two of the three line terminals.

The third line terminal—the one that is not tapped—sits at a higher voltage relative to neutral. By phasor geometry, this high leg (also called the wild leg or stinger leg) measures approximately 208 V to neutral in a 120/240 V system. This is dangerous: any 120 V device or luminaire accidentally connected line-to-neutral from the high leg will see roughly 208 V and will likely fail violently.

The National Electrical Code requires the high leg to be identified with orange color coding wherever it is accessible. In a panelboard, the high leg must be connected to the B-phase (center) position so its location is predictable. Lineworkers must verify this identification on every four-wire delta installation.

Calculating High-Leg Voltage

The center-tap neutral sits at the midpoint of one 240 V winding, so it is 120 V from each of those two line terminals. The third terminal is at the apex of the delta. Using the Pythagorean relationship from the phasor diagram:

> Vhigh-leg-to-neutral = √(120² + 120² + 120 × 120) = 120 × √3 ≈ 208 V

This is not 240 V and not 120 V—it is the value that makes the high leg incompatible with standard 120 V loads.

Safety in the Lab

Lockout/Tagout first. Before making or changing any connection on the training board, the circuit must be de-energized and the instructor must verify it is safe. Do not energize any bank until the instructor reviews and authorizes your connection diagram and physical wiring.

PPE. Wear safety glasses throughout. Follow lab rules on arc-flash boundaries even on low-voltage training equipment—developing safe habits now prevents injuries later on real distribution voltages.

Meter polarity and range. Set your digital multimeter to an AC voltage range above the expected reading before probing. Never assume a circuit is de-energized—test it.

Never bridge the high leg to neutral for a load. In the high-leg exercise, measurements only—no loads are connected to the high leg terminal.

Correct any unsafe wiring immediately. If you discover crossed connections or bare conductors touching the panel frame, de-energize, lock out, and correct before proceeding.

Key terms8

Phase voltage (Vphase)Voltage measured across one transformer winding; in a wye system it is the line-to-neutral voltage; in a delta system it equals the line-to-line voltage.
Line voltage (VL)Voltage measured between any two line (phase) conductors; related to phase voltage by VL = √3 × Vphase in a wye connection.
Wye (Y) connectionA transformer winding arrangement in which one terminal of each winding joins a common neutral point; allows a fourth neutral conductor to be brought out for single-phase loads.
Delta (Δ) connectionA transformer winding arrangement in which the three windings form a closed triangular loop, with each winding connected directly between two line terminals; phase voltage equals line voltage.
High leg (wild leg)In a four-wire delta secondary, the line terminal that is not center-tapped; it measures approximately 208 V to neutral in a 120/240 V system and must be identified with orange color coding per the NEC.
Four-wire deltaA secondary bank configuration that uses three delta-connected windings plus a center-tap neutral on one winding, providing 240 V three-phase for motors and 120 V single-phase for lighting from two of the three lines.
Transformer bankA set of three single-phase transformers interconnected to perform the function of one three-phase transformer; primary and secondary windings of each unit are connected in delta or wye.
√3 (square root of three)The constant ≈ 1.732 that relates line voltage to phase voltage in a wye connection, and line current to phase current in a delta connection; it arises from the 120° phasor separation of the three phases.

Worked examples4

1. A delta-wye training bank has a secondary wye winding rated at 120 V phase voltage. What is the expected line-to-line voltage on the secondary?
  1. Identify the relationship for a wye secondary: VL = √3 × Vphase
  2. Substitute the known phase voltage: VL = 1.732 × 120 V
  3. Multiply: VL = 207.84 V, rounded to 208 V
Answer: The expected secondary line-to-line voltage is approximately 208 V.
2. A wye-delta training bank has a primary wye winding connected to a 208 V three-phase supply. What is the phase voltage across each primary winding?
  1. For a wye connection: VL = √3 × Vphase, so rearrange to find Vphase = VL ÷ √3
  2. Substitute: Vphase = 208 V ÷ 1.732
  3. Divide: Vphase = 120.09 V, approximately 120 V
Answer: Each primary winding sees approximately 120 V phase voltage.
3. In a 120/240 V four-wire delta secondary, the center-tap neutral is established on one 240 V winding. What voltage should a student expect to measure from the high leg to the neutral conductor?
  1. The two tapped terminals are each 120 V from neutral (half of 240 V).
  2. The high leg is at the apex of the delta; use the phasor result: Vhigh = 120 V × √3
  3. Calculate: Vhigh = 120 × 1.732 = 207.84 V, approximately 208 V
Answer: The high leg measures approximately 208 V to neutral.
4. A delta secondary winding carries a phase current of 50 A. What is the line current drawn from that transformer bank?
  1. For a delta connection: IL = √3 × Iphase
  2. Substitute: IL = 1.732 × 50 A
  3. Multiply: IL = 86.6 A
Answer: The line current is approximately 86.6 A.
In class: Pre-lab theory session: instructor works through the phasor diagrams for delta and wye connections on the whiteboard, derives the line-to-phase voltage and current relationships (VL = √3 × Vphase for wye; IL = √3 × Iphase for delta), and assigns students to calculate expected line voltages for the training bank before wiring begins. · Lab build in groups of four: each group wires a delta-wye bank using three low-voltage single-phase transformers mounted on a three-phase training board; students follow a connection diagram they drew during the pre-lab, energize under instructor authorization, and measure all line-to-line and line-to-neutral voltages, recording results on a structured data sheet. · High-leg identification exercise: instructor reconfigures one bank as a four-wire open-delta (lighting and power) system; students use their meters to locate the high leg, mark it orange per NEC convention, and write a brief report explaining why loads must never be connected line-to-neutral from the high leg in a 120/240 V four-wire delta system.
Materials: Three low-voltage single-phase training transformers per group, three-phase training panel boards, digital multimeters, orange tape for high-leg marking, color-coded hook-up wire, phasor diagram handout, NCCER Power Line Worker textbook, safety glasses, instructor-approved connection diagrams
Check: Data sheet with all measured voltages within ±5% of calculated values, correctly identified high leg with written justification, and connection diagram matching the actual build; pass = all voltages within tolerance, high leg correctly identified, and no unsafe wiring practices observed during the build.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NCCER Power Line Worker – Transformer Theory and Connections
1. In a wye-connected transformer secondary, the phase voltage is 277 V. What is the line-to-line voltage?
NCCER Power Line Worker – Transformer Theory and Connections
2. In a delta-connected transformer winding, how does the phase voltage compare to the line voltage?
NCCER Power Line Worker – Distribution Systems and NEC Requirements
3. A student measures approximately 208 V from one terminal to the neutral in a 120/240 V four-wire delta panel. What should the student conclude?
NCCER Power Line Worker – Distribution Systems and NEC Requirements
4. Why is it dangerous to connect a 120 V lighting load from the high leg to neutral in a 120/240 V four-wire delta system?
OSHA 10 – Electrical Safety and Lockout/Tagout
5. Before a student energizes a newly wired three-phase training bank, what is the required first step?
NCCER Power Line Worker – Transformer Theory and Connections
6. A delta-wye bank has a secondary phase voltage of 69.4 V on the training board. Which measured line-to-line voltage is within the ±5% tolerance?
NCCER Power Line Worker – Distribution Systems and NEC Requirements
7. The NEC requires the high leg of a four-wire delta system to be connected to which bus position in a panelboard?
NCCER Power Line Worker – Transformer Theory and Connections
8. In a delta-connected secondary, the line current is measured at 34.6 A. What is the approximate phase current through each transformer winding?
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