Three Winding Transformer

Model of a three winding transformer. It is assumed, that node A is the node with highest, node B with intermediate and node C with lowest voltage.

The assumed mathematical model is inspired by ABB Schaltanlagenhanbuch [1], but with the addition of a central phase-to-ground admittance, cf. following picture.

“Star like” T-equivalent circuit diagram of a three winding transformer

Attributes, Units and Remarks

Type Model

All impedances and admittances are given with respect to the higher voltage side.

Attribute	Unit	Remarks
uuid
id		Human readable identifier
rScA	Ω	Short circuit resistance in branch A
rScB	Ω	Short circuit resistance in branch B
rScC	Ω	Short circuit resistance in branch C
xScA	Ω	Short circuit reactance in branch A
xScB	Ω	Short circuit reactance in branch B
xScC	Ω	Short circuit reactance in branch C
gM	nS	No load conductance
bM	nS	No load susceptance
sRatedA	kVA	Rated apparent power of branch A
sRatedB	kVA	Rated apparent power of branch B
sRatedC	kVA	Rated apparent power of branch C
vRatedA	kV	Rated voltage at higher node A
vRatedB	kV	Rated voltage at higher node B
vRatedC	kV	Rated voltage at higher node C
dV		Voltage magnitude increase per tap position
dPhi	°	Voltage angle increase per tap position
tapNeutr		Neutral tap position
tapMin		Minimum tap position
tapMax		Maximum tap position

Entity Model

Attribute	Unit	Remarks
uuid
id		Human readable identifier
operator		[optional]
operatesFrom/operatesUntil		Timely restriction of operation [optional]
nodeA		Higher voltage node
nodeB		Intermediate voltage node
nodeC		Lowest voltage node
parallelDevices		overall amount of parallel transformers to automatically construct (e.g. parallelDevices = 2 will build a total of two transformers using the specified parameters)
type
tapPos		Current position of the tap changer
autoTap		true, if there is a tap regulation apparent and active

Standard Three Winding Transformer Types

Following there are some standard three winding transformer types with their source. To retrieve the data call the method TypeSource.getStandardTransformer3WTypes(). The types are listed below in a csv file here. This file can be used directly for any simulation with SIMONA.

uuid	bM [nS]	dPhi [°]	dV	gM [nS]	id	rScA [Ω]	rScB [Ω]	rScC [Ω]	sRatedA [kVA]	sRatedB [kVA]	sRatedC [kVA]	tapMax	tapMin	tapNeutr	vRatedA [kV]	vRatedB [kV]	vRatedC [kV]	xScA [Ω]	xScB [Ω]	xScC [Ω]	source
62aef8ec-7e68-43e5-9678-8cde101f0116	-519.4864	0.0	1.5	12.985	HoeS_HS_MS	0.1444	0.5776	1.1552	300000.0	300000.0	100000.0	10	-10	0	380.0	110.0	30.0	24.066121	60.164118	199.750106	Dissertation C. Kittl TU Dortmund[2]

Caveats

Nothing - at least not known. If you found something, please contact us!

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[1]

Gremmel, H., Ed., Schaltanlagen. Cornelsen Verlag, 1999, Vol. 10, isbn: 3-464-48235-9.

[2]

Kittl, C., Entwurf und Validierung eines individualitätszentrierten, interdisziplinären Energiesystemsimulators basierend auf ereignisdiskreter Simulation und Agententheorie, Dortmunder Beiträge zu Energiesystemen, Energieeffizienz und Energiewirtschaft, Shaker Verlag, 2022, Vol. 25, isbn: 9-783-84408463-4.