1-
1
ECE 320
Energy Conversion and Power Electronics
Spring 2009
Instructor: Tim Hogan
Chapter 1: Introduction and Three Phase Power
1.1
Review of Basic Circuit Analysis
Definitions:
Node
- Electrical junction between two or more devices.
Loop
- Closed path formed by tracing through an ordered sequence of nodes without passing through
any node more than once.
Element Constraints:
Ohm’s Law
iR
v
=
Capacitor Equation
dt
dv
C
i
=
Inductor Equation
dt
di
L
v
=
Connection Constraints:
Kirchhoff’s Current Law
- The algebraic sum of currents entering a node is zero at every instant in
time.
0
=
∑
Node
k
i
(1.1)
Kirchhoff’s Voltage Law
- The algebraic Sum of all voltages around a loop is zero at every instant in
time.
0
=
∑
Loop
k
v
(1.2)
Passive Sign Convention:
Whenever the reference direction of current into a two terminal device is in the direction of the
reference voltage drop across the device, then the power absorbed (or dissipated) is positive.
Figure 1.
Circuit element and passive sign convention.
+
_
v
i

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