Cost#

Common Parameters: u, name, idx, gen

GCost#

Generator cost model, similar to MATPOWER gencost format.

type is the cost model type. 1 for piecewise linear, 2 for polynomial.

In piecewise linear cost model, cost function f(p) is defined by a set of points: (p0, c0), (p1, c1), (p2, c2), where p0 < p1 < p2.

In quadratic cost model, cost function f(p) is defined by a set of coefficients: f(p) = c2 * p^2 + c1 * p + c0.

Name	Symbol	Description	Default	Unit	Properties
idx		unique device idx
u	$u$	connection status	1	bool
name		device name
gen		static generator index			mandatory
type	$t_{ype}$	Cost model type. 1 for piecewise linear, 2 for polynomial	2
csu	$c_{su}$	startup cost in US dollars	0	$
csd	$c_{sd}$	shutdown cost in US dollars	0	$
c2	$c_{2}$	coefficient 2	0	$/(p.u.h)^2*
c1	$c_{1}$	coefficient 1	0	$/p.u.h*
c0	$c_{0}$	coefficient 0	0	$

Linear SFR cost model.

Name	Symbol	Description	Default	Unit	Properties
idx		unique device idx
u	$u$	connection status	1	bool
name		device name
gen		static generator index			mandatory
cru	$c_{r}$	cost for RegUp reserve	0	$/(p.u.h)*
crd	$c_{r}$	cost for RegDn reserve	0	$/(p.u.h)*

Linear cost model for VSG emulated inertia (M) and damping (D).

Name	Symbol	Description	Default	Unit	Properties
idx		unique device idx
u	$u$	connection status	1	bool
name		device name
reg		Renewable generator idx			mandatory
cm	$c_{r}$	cost for emulated inertia (M)	0	$/s
cd	$c_{r}$	cost for emulated damping (D)	0	$/p.u.

Linear cost model for dispatchable loads.

Name	Symbol	Description	Default	Unit	Properties
idx		unique device idx
u	$u$	connection status	1	bool
name		device name
pq		static load index			mandatory
cdp	$c_{d,p}$	cost for unserve load penalty	999	$/(p.u.h)*

Name	Symbol	Description	Default	Unit	Properties
idx		unique device idx
u	\(u\)	connection status	1	bool
name		device name
gen		static generator index			mandatory
type	\(t_{ype}\)	Cost model type. 1 for piecewise linear, 2 for polynomial	2
csu	\(c_{su}\)	startup cost in US dollars	0	$
csd	\(c_{sd}\)	shutdown cost in US dollars	0	$
c2	\(c_{2}\)	coefficient 2	0	$/(p.u.h)^2*
c1	\(c_{1}\)	coefficient 1	0	$/p.u.h*
c0	\(c_{0}\)	coefficient 0	0	$