modelExtDynLoad
Dynamic exponential recovery load according to Karlsson & Hill
Extends from Partials.ExtLoad (Shell model for loads).
Information
Dynamic exponential recovery load according to Karlsson & Hill [1].
with external input of P0 and Q0.
The load powers are given by:
der(xp) = P0*(V^(as) - V^at) - xp/Tp;
Pl = (xp/Tp + P0*V^at);
der(xq) = Q0*(V^(bs) - V^bt) - xq/Tq;
Ql = (xq/Tq + Q0*V^bt);
where xp is a continuous dynamic state that can be interpreted as a
measure of the energy deficit in the load and Ps(V) = P0*V^as
is the steady-state and Pt(V)=P0*V^at the transient voltage dependency.
Pl is the actual active load power and Tp is the active power recovery
time constant.
For the reactive load power, a similar model is used with corresponding
characteristics x_q, Qs(V)=Q0 V^bs, Qt(V) = Q0 V^bt and time constant Tq.
---
[1] D. Karlsson and D.J. Hill, "Modelling and identification of nonlinear
dynamic loads in power systems", IEEE Transactions on Power Systems,
vol. 9, no. 1, pp. 157-163, February 1994.
Parameters
| Type | Name | Default | Description |
|---|
| Base.Voltage | V0 (from ExtLoad) | | Inital Terminal Voltage |
| Real | as | 1 | Steady-state active power voltage dependency |
| Real | at | 2 | Transient active power voltage dependency |
| Real | bs | 1 | Steady-state reactive power voltage dependency |
| Real | bt | 2 | Transient reactive power voltage dependency |
| ObjectStab.Base.Time | Tp | 60 | Active power recovery time constant |
| ObjectStab.Base.Time | Tq | 60 | Reactive power recovery time constant |
