직류 전기 회로의 전류 계산

이게 뭐야

예전에 만든 전기 회로의 전류를 계산하는 C#의 코드를 Python으로 해 보았습니다.
키르히호프의 법칙 을 사용하고 있습니다.

파이썬 코드

import networkx as nx
import pandas as pd
from more_itertools import pairwise

class CycleInfo:
    """サイクルの情報"""
    def __init__(self, g, i, cycle):
        """g.edgesのcidsにインデックスを追加"""
        self.cycle = cycle
        self.volt = self.resist = self.cur = 0
        for e in pairwise(cycle + [cycle[0]]):
            if dc := g.edges.get(e):
                coe = 1
            else:
                coe, dc = -1, g.edges[e[1], e[0]]
            self.volt += coe * dc['volt']
            self.resist += dc['resist']
            dc['cids'].append((coe, i))

def calc_current(df):
    """電流計算。結果はcur列に追加"""
    g = nx.DiGraph()
    for row in df.itertuples():
        g.add_edge(row.node1, row.node2, volt=row.volt,
                   resist=row.resist, cids=[])

    cycles = nx.cycle_basis(g.to_undirected())
    cinfos = [CycleInfo(g, i, cycle) for i, cycle in enumerate(cycles)]

    vv = [[0] * len(cinfos) for _ in cinfos]  # 影響量
    from itertools import combinations
    for dc in g.edges.values():
        for (coe1, cid1), (coe2, cid2) in combinations(dc['cids'], 2):
            vv[cid1][cid2] += -coe1 * coe2 * dc['resist']
            vv[cid2][cid1] += -coe1 * coe2 * dc['resist']

    modified = True
    while modified:
        modified = False
        for i, cinfo in enumerate(cinfos):
            if not cinfo.resist:
                if not cinfo.volt:
                    continue
                raise ValueError('回路ショート')
            cur = cinfo.volt / cinfo.resist
            dif = cur - cinfo.cur
            if abs(dif) < 1e-8:
                continue
            modified  = True
            cinfo.cur = cur
            for j, cinfo2 in enumerate(cinfos):
                cinfo2.volt += dif * vv[i][j]
    df['cur'] = [sum(cinfos[i].cur for _, i in dc['cids'])
                 for _, dc in g.edges.items()]
    return df

샘플 1

circ1.csv

node1,node2,volt,resist
0,1,0,5
1,2,0,0
2,3,1.5,0
3,0,0,0

실행 결과(cur 열)

df = pd.read_csv('circ1.csv')
calc_current(df)

node1
node2
volt
resist
cur


0
0
1
0
5
0.3

1
1
2
0
0
0.3

2
2
3
1.5
0
0.3

3
3
0
0
0
0.3

샘플 2

circ2.csv

node1,node2,volt,resist
0,1,0,20
0,2,0,10
1,2,0,20
1,3,0,50
2,3,0,40
3,4,0,0
4,5,30,0.98
5,0,0,0

실행 결과(cur 열)

df = pd.read_csv('circ2.csv')
calc_current(df)

node1
node2
volt
resist
cur


0
0
1
0
20
0.372554

1
0
2
0
10
0.509811

2
1
2
0
20
-0.0588243

3
1
3
0
50
0.431378

4
2
3
0
40
0.568635

5
3
4
0
0
1.00001

6
4
5
30
0.98
1.00001

7
5
0
0
0
1.00001