pvperfsolar performance modeling

Reference / Power factor

Model option

Own row

The cost of the power factor in one row after the AC losses

Inputs used: Power factor, Nameplate is apparent, Power factor row

Method

The inverter pass runs a second time at a power factor of 1, and the AC chain is computed a second time at a power factor of 1 on the same inverter output. The clipping row and the inverter output show the values at a power factor of 1 (1), each resistive AC row shows its loss at a power factor of 1 (2), and the Power factor row takes the difference (3). The energy injected into the grid is unchanged. The second inverter pass runs only when the inverter's nominal power is an apparent power; otherwise the inverter share is zero.

The math

  1. Inverter output at a power factor of 1
  2. Resistive share
  3. Power factor row
Δinv=∑iEout,1,i−∑iEout,i(1)\Delta_{inv} = \sum_i E_{out,1,i} - \sum_i E_{out,i} \tag{1} ΔAC=∑r∑i(Lr,i−Lr,1,i)(2)\Delta_{AC} = \sum_r \sum_i \left(L_{r,i} - L_{r,1,i}\right) \tag{2} LPF=−(Δinv+ΔAC)(3)L_{PF} = -\left(\Delta_{inv} + \Delta_{AC}\right) \tag{3}

where

Symbol Meaning Unit
Δinv\Delta_{inv} the inverter output the reactive ceiling removes Wh
Eout,1,iE_{out,1,i} the inverter output at step ii with a power factor of 1 Wh
Eout,iE_{out,i} the inverter output at step ii Wh
ΔAC\Delta_{AC} the resistive AC loss the power factor adds Wh
Lr,iL_{r,i} the loss of resistive row rr at step ii Wh
Lr,1,iL_{r,1,i} the same loss at a power factor of 1 Wh
LPFL_{PF} the Power factor row, in Wh before the per-kWp scaling —

API

options.power_factor_row = separate

Symbols follow the symbol registry.