Actually demand increased and supply decreased, again just facts. The whole state was out of power. The shortfall was significantly greater than the total generated by wind. Since demand increased then wind, since it's a non-dispatched resource that always produced 100% of what it's capable of producing, would mathmatically make up less of the power mix than usual. In which case, wind could never be responsible for more of the shortfall than it was capable of producing in the first place let alone more than a shortfall caused by increased demand. If demand want to 200 then not only could my factory could never be responsible for more than the 16 it was capable of making in the first place but it's now only responsible for 8% of the total even if it drops to 0.
And of course, the power grid isn't a widget factory and in reality in Texas fossils fuel plants and even a nuclear plant contributed significantly more to the outages than wind. As would naturally mathmatically be the case when they produce a significantly higher percentage of the power than wind and make up all of the reserve stack.
"Actually demand increased and supply decreased, again just facts. The whole state was out of power. The shortfall was significantly greater than the total generated by wind. Since demand increased then wind, since it's a non-dispatched resource that always produced 100% of what it's capable of producing, would mathematically make up less of the power mix than usual. In which case, wind could never be responsible for more of the shortfall than it was capable of producing in the first place "
That assumes that total supply increased to meet demand (in which case there would be no shortfall), but you just admitted that "supply decreased." Could the share of the decrease or shortfall in supply accounted for by the failure of renewable electricity exceed renewables' share of installed capacity (or some other relevant measure) when total production is falling? Yes, absolutely.
In the case of wind specifically, it is merely necessary for wind's production to decline by a higher *percentage* than conventional sources of power. Let us take a simple example in a hypothetical locality where total energy production is a mathematically convenient 10,000 MW and wind turbines' share of this is 2000 MW or 20%. If severe weather immobilizes the turbines so that their production falls to zero, and the rest of the system's production falls by an additional 1000 MW, that is 3000 MW offline, or a 30% decrease in energy supply, and wind, which only accounted for 20% of total production before the crisis, now accounts for two thirds or 67% of the decline in power supply at a time when demand would be rising if that were possible.
We should measure supply rather than demand, because it is usually not possible to measure demand in excess of supply; mathematically, the market cannot purchase more than is produced and delivered (although in some cases it may order more in advance), so measurable demand cannot usually exceed supply even if the customers want more than is available.
"If demand want to 200 then not only could my factory could never be responsible for more than the 16 it was capable of making in the first place but it's now only responsible for 8% of the total even if it drops to 0."
Yes, if demand was for 200, then your 16 widget plant, when it burned down, would only take off line 8% of the total demand (my example talked about production, but we can use demand instead if you want, and ignore the fact that demand in excess of supply is usually hypothetical)--yet your defunct widget plant would still account for 100% of the 8%.
But if other plants also had production shortfalls, then your plant's total loss would account for less than 100% of the shortfall, but it might very well still account for a share of the shortfall that was greater than its share of the installed productive capacity (or its share of the hypothetical demand). There is no mathematical reason why it could not.
And keep in mind that there are other issues involved in measuring wind's contribution to the power shortfall. For example, if electrical supply disruptions caused by wind turbine failures contributed to the failure of the natural gas delivery system, then wind could account for an even larger share of the energy supply shortfall. The energy supply system is interdependent and complex with feedback loops that are not likely to be fully understood.