Total Wire Length=N⋅MLTTotal Wire Length equals cap N center dot cap M cap L cap T
Total Copper Loss=(Ip2⋅Rp)+(Is2⋅Rs)Total Copper Loss equals open paren cap I sub p squared center dot cap R sub p close paren plus open paren cap I sub s squared center dot cap R sub s close paren Overall Efficiency Optimization
Restrict input cells to prevent impossible engineering states. Use Excel Data Validation tools ( Data > Data Validation ) to restrict values like frequency to a dropdown list containing only 50 or 60 . transformer design calculation excel
The net iron cross-sectional area can be estimated using the empirical volt-per-turn constant (
| Parameter | Symbol | Value | Unit | | :--- | :--- | :--- | :--- | | Primary Voltage | Vp | 230 | V | | Secondary Voltage | Vs | 12 | V | | Frequency | f | 50 | Hz | | Power Rating | VA | 100 | VA | | Flux Density | Bm | 1.2 | Tesla | | Current Density | δ | 2.5 | A/mm² | Total Wire Length=N⋅MLTTotal Wire Length equals cap N
Turns_per_layer = (Bobbin_width_mm) / (Wire_OD_mm) Layers_required = N_winding / Turns_per_layer Total_winding_height = Layers_required × Wire_OD_mm
E=4.44⋅f⋅N⋅Φmcap E equals 4.44 center dot f center dot cap N center dot cap phi sub m : RMS voltage of the winding (Volts) : Form factor constant for a pure sine wave : Operating frequency (Hz, typically 50 Hz or 60 Hz) : Number of turns in the winding Φmcap phi sub m : Peak magnetic flux in the core (Webers, , the formula expands to: In Excel, this is usually calculated using the
Iron losses consist of hysteresis and eddy current losses. In Excel, this is usually calculated using the manufacturer's datasheet loss curve:
Pcu = Ip² × Rp + Is² × Rs Where winding resistances are computed from wire length and resistivity: R = (ρ × L) / A_wire (ρ for copper ~0.0172 Ω·mm²/m at 20°C).
Resistance (R)=ρ⋅LengthConductor AreaResistance open paren cap R close paren equals rho center dot the fraction with numerator Length and denominator Conductor Area end-fraction
: Sum the connected loads (in kW or kVA) and apply a diversity factor to account for the fact that not all devices run simultaneously.