pvperfsolar performance modeling

Reference

Loss row

Inverter Loss over nominal inv. voltage

Energy lost above the top of the MPPT window

Unit kWh/kWp

What this step does

The array energy lost when the array's maximum-power voltage exceeds the top of the inverter's MPPT window, which happens with long strings in cold weather. With the operating point on the array's I–V curve (Model tab, Inverter operating limits step) the inverter holds the array at the top of the window. The step's other two methods do not model the top of the window, so this row stays at zero and that energy stays in the array output.

The math

  1. Running total
  2. Loss at a timestep
Eafter=Ebefore−Erow,Erow=Δt1000 PDC∑iLi(1)E_{after} = E_{before} - E_{row},\qquad E_{row} = \frac{\Delta t}{1000\,P_{DC}}\sum_i L_i \tag{1} Li=Ninv[Pmpp,i−Vmax I(Vmax)](2)L_i = N_{inv}\left[P_{mpp,i} - V_{max}\,I(V_{max})\right] \tag{2}

where

Symbol Meaning Unit
EbeforeE_{before} the running total of the loss diagram before this row kWh/kWp
EafterE_{after} the running total after this row kWh/kWp
ErowE_{row} the row taken as a loss kWh/kWp
Δt\Delta t the length of one timestep hours
PDCP_{DC} the DC nameplate of the system kWp
LiL_i the power lost at timestep ii over the whole system W
NinvN_{inv} the number of inverters —
Pmpp,iP_{mpp,i} the maximum power of one inverter's array at timestep ii, after the DC losses W
VmaxV_{max} the top of the inverter's MPPT window V
I(V)I(V) the current of one inverter's array at voltage VV, from its current-voltage curve A

Reading the number

A loss, negative. Usually zero on utility and rooftop systems alike; cold timesteps with long strings make it appear.

API

loss.inv_v_clip

Symbols follow the symbol registry.