Calculation Excel - Transformer Design

Add : SWG #, bare dia (mm), insulated dia (mm), resistance (Ω/m). 6. Check Window Utilization Required window area: [ W_a_req = \fracN_p \cdot A_w_ins_p + N_s \cdot A_w_ins_sk_u ]

| Parameter | Symbol | Typical Value | Unit | |-----------|--------|---------------|------| | Primary voltage (RMS) | ( V_p ) | 230 | V | | Secondary voltage (RMS) | ( V_s ) | 12 | V | | Secondary current | ( I_s ) | 5 | A | | Frequency | ( f ) | 50 | Hz | | Core material (grain-oriented steel) | – | M4/M6 | – | | Flux density (max) | ( B_max ) | 1.4 (for Si steel) | T | | Current density | ( J ) | 3 | A/mm² | | Window utilization factor | ( k_u ) | 0.4 | – | | Stacking factor | ( k_s ) | 0.95 | – | | Efficiency target | ( \eta ) | 0.9 | – | | Temperature rise target | ( \Delta T ) | 50 | °C | Use data validation for core material selection. 3. Core Sizing (Area Product Method) Formula: [ A_p = \fracV_p \cdot I_p + V_s \cdot I_sk_u \cdot J \cdot f \cdot B_max \cdot k_s \cdot (2) ] (Simplified: (A_p = \fracVA \cdot 10^42 \cdot f \cdot B_max \cdot J \cdot k_u) for 50 Hz) transformer design calculation excel

| Cell | Formula | |------|---------| | VA rating | = V_p * I_p + V_s * I_s (estimate ( I_p = (V_s \cdot I_s)/(\eta \cdot V_p) )) | | ( A_p ) (cm⁴) | = (VA * 10000) / (2 * f * B_max * J * k_u) | | Select core | From manufacturer table (e.g., EI, toroidal) – match ( A_p ) | Add : SWG #, bare dia (mm), insulated

[ N_s = \fracV_s \cdot (1 + reg/100)V_p \cdot N_p ] where (reg) = regulation (e.g., 5%). Add : SWG #

| Winding | Current (A) | Bare area (mm²) | Wire dia bare (mm) | Wire dia insulated (mm) | Turns | Build (mm) | |---------|-------------|----------------|---------------------|--------------------------|-------|-------------| | Primary | =VA/(η*Vp) | =I/J | =SQRT(4*Aw/π) | from table | Np | =turns * insulated_dia | | Secondary | Is | =Is/J | ... | ... | Ns | ... |