Introduction For over a century, the electromagnetic transformer has been the backbone of power distribution, isolation, and impedance matching. Despite advances in switch-mode power supplies, the traditional line-frequency (50/60 Hz) transformer remains indispensable in audio amplifiers, power conditioning units, and industrial controls.
N_primary = V_primary / E_turn And secondary turns:
You can also add a dropdown for core material (CRGO, CRNGO, Amorphous) with associated Bmax values using Excel’s Data Validation. Here, reference input cells and write the following formulas: 1. Core Area A_core_cm2 = a * b * Sf A_core_m2 = A_core_cm2 / 10000 2. Volt-per-turn E_turn = 4.44 * f * Bmax * A_core_m2 3. Primary Turns N_primary = ROUNDUP(Vp / E_turn, 0) 4. Secondary Turns (with regulation) N_secondary = ROUNDUP(Vs * (1 + Reg) / E_turn, 0) 5. Primary Current Assuming 80% efficiency (η) as initial guess: transformer design calculation excel
I_primary = (Vs * Is) / (Vp * 0.8) You can later refine efficiency iteratively. From current density J (A/mm²):
N_secondary = V_secondary / E_turn × (1 + regulation_factor) The regulation factor (typically 2-5%) compensates for copper losses under load. For EI laminations, if the center leg width is a (cm) and stack height is b (cm): Here, reference input cells and write the following
Turns_per_layer = (Bobbin_width_mm) / (Wire_OD_mm) Layers_required = N_winding / Turns_per_layer Total_winding_height = Layers_required × Wire_OD_mm Compare to available winding height – flag if overflow. Let’s run a typical calculation using our transformer design calculation Excel tool:
Surface_area_cm2 = 2 × (height × depth) + 2 × (width × depth) + ... Temp_rise_C = (Total_losses_W) / (0.001 × Surface_area_cm2) Where Total losses = core loss (from manufacturer’s specific loss W/kg × core mass) + copper loss (I²R per winding). Add a toggle cell: "Voltage selection (115/230)". Excel then recalculates turns accordingly using IF statements: Primary Turns N_primary = ROUNDUP(Vp / E_turn, 0) 4
| Parameter | Symbol | Example Value | Unit | |-----------|--------|---------------|------| | Primary voltage | Vp | 230 | V | | Secondary voltage | Vs | 12 | V | | Secondary current | Is | 5 | A | | Frequency | f | 50 | Hz | | Core center leg width | a | 2.5 | cm | | Core stack height | b | 3.8 | cm | | Max flux density | Bmax | 1.2 | Tesla | | Stacking factor | Sf | 0.92 | - | | Current density | J | 2.5 | A/mm² | | Regulation factor | Reg | 0.04 | - |
戰績
